Twin Cities campus
 
Twin Cities Campus

Biomedical Engineering Ph.D.

Department of Biomedical Engineering
College of Science and Engineering
Link to a list of faculty for this program.
Contact Information
Biomedical Engineering Graduate Program, 7-105 Nils Hasselmo Hall, 312 Church Street S.E., Minneapolis, MN 55455 (612-624-8396; fax: 612-626-6583)
  • Program Type: Doctorate
  • Requirements for this program are current for Fall 2017
  • Length of program in credits: 54
  • This program requires summer semesters for timely completion.
  • Degree: Doctor of Philosophy
Along with the program-specific requirements listed below, please read the General Information section of this website for requirements that apply to all major fields.
Biomedical engineering is the application of engineering principles and methods to problems in biology and medicine. The discipline includes the study of fundamental processes in biology and physiology, the study of the diagnosis and treatment of disease and injury, and the design and development of medical devices and techniques. Students take courses in mathematics, biology, biomedical engineering, and areas of science and engineering that are relevant for the degree objectives.
Program Delivery
  • via classroom (the majority of instruction is face-to-face)
Prerequisites for Admission
The preferred undergraduate GPA for admittance to the program is 3.50.
A baccalaureate degree in engineering or in a physical or biological science is required.
Other requirements to be completed before admission:
Applicants with an engineering degree do not need to complete any specific coursework prior to applying. Applicants without an engineering degree must complete (1) math coursework through Calculus I, Calculus II, Linear Algebra, and Differential Equations; and (2) at least one year of college-level physics, preferably calculus-based. There are no minimum required GPA, GRE, or English language test scores. A GPA of at least 3.5 on a 4.0 scale is preferred, but not required. Applicants with a lower GPA may still apply, but they will have a much lower chance of admission.
Special Application Requirements:
Fall application deadline is December 31. PhD applications are not accepted for the spring or summer terms. See http://bme.umn.edu/grad/appinfo.html for additional application information.
Applicants must submit their test score(s) from the following:
  • GRE
International applicants must submit score(s) from one of the following tests:
  • TOEFL
  • IELTS
The preferred English language test is Test of English as Foreign Language.
Key to test abbreviations (GRE, TOEFL, IELTS).
For an online application or for more information about graduate education admissions, see the General Information section of this website.
Program Requirements
9 to 30 credits are required in the major.
0 to 21 credits are required outside the major.
24 thesis credits are required.
Plan A: Plan A requires 8 to 20 major credits, 0 to 12 credits outside the major, and 10 thesis credits. The final exam is oral.
Plan B: Plan B requires 10 to 30 major credits and 0 to 20 credits outside the major. The final exam is oral. A capstone project is required.
Capstone Project:The Plan B Project (BMEn 8820, minimum of 2 credits) should entail approximately 50-75 hours of work per credit, performed in collaboration with a faculty adviser. Students must submit a written report of approximately 10 double-spaced pages per credit to the adviser, who will assign a letter grade for BMEn 8820 based on the report. The report must then be defended before the student's committee.
This program may be completed with a minor.
Use of 4xxx courses toward program requirements is permitted under certain conditions with adviser approval.
A minimum GPA of 3.00 is required for students to remain in good standing.
The Ph.D. program requires 30 credits of coursework in mathematics, biology, biomedical engineering, and relevant areas of science and engineering. BMEn Core - 6 credits BMEn Seminars - 3 credits Biology Electives - 6 credits Technical Electives - 9 credits Free Electives - 6 credits A single course may NOT be counted simultaneously toward more than one of the requirements listed above. INCLUDED in the Core/Elective requirements listed above must be a minimum of 6 credits designated as Math-/Statistics-Intensive. These are not additional credits but will overlap with coursework already satisfying the BMEn Core, Technical Elective, and/or Free Elective requirements. Approved courses for each category are listed below. All coursework (excluding seminars and internships) must be taken for a letter grade (A-F). A minimum grade of B- is required for coursework to be counted toward degree requirements. In addition to the 30 credits of coursework, 24 thesis credits (BMEn 8888) are required.
BMEn 8000-Level Core
Take 6 or more credit(s) from the following:
· BMEN 8001 - Polymeric Biomaterials (3.0 cr)
· BMEN 8041 - Advanced Tissue Engineering Lab (3.0 cr)
· BMEN 8101 - Biomedical Digital Signal Processing (3.0 cr)
· BMEN 8201 - Advanced Tissue Mechanics (3.0 cr)
· BMEN 8381 - Bioheat and Mass Transfer (3.0 cr)
· BMEN 8421 - Biophotonics (3.0 cr)
· BMEN 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models (4.0 cr)
· BMEN 8501 - Dynamical Systems in Biology (3.0 cr)
· BMEN 8502 - Physiological Control Systems (3.0 cr)
· BMEN 8511 - Systems and Synthetic Biology (3.0 cr)
BMEn Seminars
Seminars are 1 credit per semester, repeatable for credit, and may be taken in any order. Another department/program graduate seminar may be substituted for 1 credit of this requirement, with prior approval from the Director of Graduate Studies.
Take 3 or more credit(s) from the following:
· BMEN 8601 - Biomedical Engineering Seminar (1.0 cr)
· BMEN 8602 - Biomedical Engineering Seminar (1.0 cr)
Biology Electives
Additional courses may be approved by the Director of Graduate Studies.
Take 6 or more credit(s) from the following:
· BIOC 5216 - Current Topics in Signal Transduction (3.0 cr)
· BIOC 6021 - Biochemistry (3.0 cr)
· BIOC 8002 - Molecular Biology and Regulation of Biological Processes (3.0 cr)
· BIOC 8216 - Signal Transduction and Gene Expression (3.0 cr)
· BMEN 5444 {Inactive} (3.0 cr)
· BMEN 5501 - Biology for Biomedical Engineers (3.0 cr)
· BMEN 5701 - Cancer Bioengineering (3.0 cr)
· CGSC 8041 - Cognitive Neuroscience (4.0 cr)
· CPMS 5101 - Introduction to Clinical Physiology and Movement Science (3.0 cr)
· EEB 5371 - Principles of Systematics (3.0 cr)
· GCD 5036 - Molecular Cell Biology (3.0 cr)
· GCD 8103 - Human Histology (5.0 cr)
· GCD 8131 - Advanced Molecular Genetics and Genomics (3.0 cr)
· GCD 8151 - Cell Structure and Function (3.0 cr)
· GCD 8161 - Advanced Developmental Biology (3.0 cr)
· MEDC 8760 - Design of Peptidomimetics (2.0 cr)
· MICA 8002 - Structure, Function, and Genetics of Bacteria and Viruses (4.0 cr)
· MICA 8003 - Immunity and Immunopathology (4.0 cr)
· MICA 8004 - Cellular and Cancer Biology (4.0 cr)
· MICA 8007 - Cell Biology and Biochemistry of the Extracellular Matrix (3.0 cr)
· MICA 8009 - Biochemical Aspects of Normal and Abnormal Cell Growth and Cell Death (2.0 cr)
· NSC 5540 - Survey of Biomedical Neuroscience (2.0 cr)
· NSC 5561 - Systems Neuroscience (4.0 cr)
· NSC 5661W - Behavioral Neuroscience [WI] (3.0 cr)
· NSC 5667 - Neurobiology of Disease (2.0-3.0 cr)
· NSC 8211 - Developmental Neurobiology (3.0 cr)
· NSCI 5101 - Introduction to Neuroscience for Graduate Students (3.0 cr)
· OBIO 8012 - Basic Concepts in Skeletal Biology (2.0 cr)
· PHSL 5061 - Principles of Physiology for Biomedical Engineering (4.0 cr)
· PHSL 5115 - Clinical Physiology I (3.0 cr)
· PHSL 5116 - Clinical Physiology II (3.0 cr)
· PHSL 5510 - Advanced Cardiac Physiology and Anatomy (2.0-3.0 cr)
· PHSL 5525 - Anatomy and Physiology of the Pelvis and Urinary System (1.0-2.0 cr)
· PSY 5015 - Cognition, Computation, and Brain (3.0 cr)
· PSY 5062 - Cognitive Neuropsychology (3.0 cr)
· PSY 8041 - Proseminar in Perception (3.0 cr)
· RSC 5231 - Clinical Biomechanics (2.0-5.0 cr)
· RSC 5281 - Scientific Foundations: Exercise Theory (3.0 cr)
· RSC 8282 - Problems in Human Movement (4.0 cr)
· SCB 8181 - Stem Cell Biology (3.0 cr)
Technical Electives
Additional courses may be approved by the Director of Graduate Studies.
Take 9 or more credit(s) from the following:
· AEM 5401 - Intermediate Dynamics (3.0 cr)
· AEM 5451 - Optimal Estimation (3.0 cr)
· AEM 5501 - Continuum Mechanics (3.0 cr)
· AEM 5503 - Theory of Elasticity (3.0 cr)
· AEM 8511 - Advanced Topics in Continuum Mechanics (3.0 cr)
· AEM 8531 - Fracture Mechanics (3.0 cr)
· BIOC 5352 - Biotechnology and Bioengineering for Biochemists (3.0 cr)
· BIOC 5528 - Spectroscopy and Kinetics (4.0 cr)
· BMEN 5001 - Advanced Biomaterials (3.0 cr)
· BMEN 5041 - Tissue Engineering (3.0 cr)
· BMEN 5101 - Advanced Bioelectricity and Instrumentation (3.0 cr)
· BMEN 5111 - Biomedical Ultrasound (3.0 cr)
· BMEN 5151 - Introduction to BioMEMS and Medical Microdevices (2.0 cr)
· BMEN 5201 - Advanced Biomechanics (3.0 cr)
· BMEN 5311 - Advanced Biomedical Transport Processes (3.0 cr)
· BMEN 5321 - Microfluidics in Biology and Medicine (3.0 cr)
· BMEN 5351 - Cell Engineering (3.0 cr)
· BMEN 5401 - Advanced Biomedical Imaging (3.0 cr)
· BMEN 5411 - Neural Engineering (3.0 cr)
· BMEN 5412 - Neuromodulation (3.0 cr)
· BMEN 5413 - Neural Decoding and Interfacing (3.0 cr)
· BMEN 5421 - Introduction to Biomedical Optics (3.0 cr)
· BMEN 8001 - Polymeric Biomaterials (3.0 cr)
· BMEN 8101 - Biomedical Digital Signal Processing (3.0 cr)
· BMEN 8201 - Advanced Tissue Mechanics (3.0 cr)
· BMEN 8381 - Bioheat and Mass Transfer (3.0 cr)
· BMEN 8401 - New Product Design and Business Development (4.0 cr)
· BMEN 8421 - Biophotonics (3.0 cr)
· BMEN 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models (4.0 cr)
· BMEN 8501 - Dynamical Systems in Biology (3.0 cr)
· BMEN 8502 - Physiological Control Systems (3.0 cr)
· BMEN 8511 - Systems and Synthetic Biology (3.0 cr)
· CHEM 8021 - Computational Chemistry (4.0 cr)
· CHEN 5751 - Biochemical Engineering (3.0 cr)
· CHEN 8101 - Fluid Mechanics I: Change, Deformation, Equations of Flow (3.0 cr)
· CHEN 8201 - Applied Mathematics I: Linear Analysis (3.0 cr)
· CHEN 8221 - Synthetic Polymer Chemistry (4.0 cr)
· CHEN 8301 - Physical Rate Processes I: Transport (3.0 cr)
· CHEN 8402 - Statistical Thermodynamics and Kinetics (3.0 cr)
· CHEN 8754 - Systems Analysis of Biological Processes (3.0 cr)
· CSCI 5211 - Data Communications and Computer Networks (3.0 cr)
· CSCI 5511 - Artificial Intelligence I (3.0 cr)
· EE 5141 - Introduction to Microsystem Technology (4.0 cr)
· EE 5171 - Microelectronic Fabrication (4.0 cr)
· EE 5251 - Optimal Filtering and Estimation (3.0 cr)
· EE 5323 - VLSI Design I (3.0 cr)
· EE 5333 - Analog Integrated Circuit Design (3.0 cr)
· EE 5393 - Circuits, Computation, and Biology (3.0 cr)
· EE 5531 - Probability and Stochastic Processes (3.0 cr)
· EE 5621 - Physical Optics (3.0 cr)
· HINF 5430 - Health Informatics I (3.0 cr)
· HINF 5431 - Health Informatics II (3.0 cr)
· HUMF 5211 - Human Factors and Work Analysis (4.0 cr)
· IE 5111 - Systems Engineering I (2.0 cr)
· IE 5112 - Introduction to Operations Research (3.0 cr)
· IE 5113 - Systems Engineering II (4.0 cr)
· IE 5511 - Human Factors and Work Analysis (4.0 cr)
· IE 5522 - Quality Engineering and Reliability (4.0 cr)
· IE 5541 - Project Management (4.0 cr)
· IE 5545 - Decision Analysis (4.0 cr)
· IE 5553 - Simulation (4.0 cr)
· MATH 5248 - Cryptology and Number Theory (4.0 cr)
· MATH 5445 - Mathematical Analysis of Biological Networks (4.0 cr)
· MATH 5447 - Theoretical Neuroscience (4.0 cr)
· MATH 5587 - Elementary Partial Differential Equations I (4.0 cr)
· MATH 5651 - Basic Theory of Probability and Statistics (4.0 cr)
· MATH 5652 - Introduction to Stochastic Processes (4.0 cr)
· MATH 8202 - General Algebra (3.0 cr)
· MATH 8253 - Algebraic Geometry (3.0 cr)
· MATS 8001 - Structure and Symmetry of Materials (3.0 cr)
· MATS 8002 - Thermodynamics and Kinetics (3.0 cr)
· MATS 8003 - Electronic Properties (3.0 cr)
· ME 5228 - Introduction to Finite Element Modeling, Analysis, and Design (4.0 cr)
· ME 5241 - Computer-Aided Engineering (4.0 cr)
· ME 5243 - Advanced Mechanism Design (4.0 cr)
· ME 5247 - Stress Analysis, Sensing, and Transducers (4.0 cr)
· ME 5281 - Analog and Digital Control (4.0 cr)
· ME 5286 - Robotics (4.0 cr)
· ME 5341 - Case Studies in Thermal Engineering and Design (4.0 cr)
· ME 5351 - Computational Heat Transfer (4.0 cr)
· ME 8341 - Conduction (3.0 cr)
· ME 8345 - Computational Heat Transfer and Fluid Flow (3.0 cr)
· MPHY 8147 - Advanced Physics of Magnetic Resonance Imaging (MRI) (3.0 cr)
· NSC 5202 - Theoretical Neuroscience: Systems and Information Processing (3.0 cr)
· PHM 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models (4.0 cr)
· PHYS 5081 - Introduction to Biopolymer Physics (3.0 cr)
· PHYS 5402 - Radiological Physics (4.0 cr)
· PSY 5065 - Functional Imaging: Hands-on Training (3.0 cr)
· PUBH 6415 - Biostatistical Methods II (3.0 cr)
· PUBH 6450 - Biostatistics I (4.0 cr)
· PUBH 6451 - Biostatistics II (4.0 cr)
· PUBH 7440 - Introduction to Bayesian Analysis (3.0 cr)
· RSC 5135 - Advanced Biomechanics I: Kinematics (3.0 cr)
· RSC 5200 - Introduction to Transcranial Magnetic Stimulation (3.0 cr)
· RSC 5235 - Advanced Biomechanics II: Kinetics (3.0 cr)
· RSC 8135 - Advanced Kinesiology (3.0 cr)
· RSC 8235 - Human Kinetics (3.0 cr)
· STAT 5021 - Statistical Analysis (4.0 cr)
· STAT 5101 - Theory of Statistics I (4.0 cr)
· STAT 5102 - Theory of Statistics II (4.0 cr)
· STAT 5302 - Applied Regression Analysis (4.0 cr)
· STAT 5303 - Designing Experiments (4.0 cr)
Free Electives
Additional courses may be approved by the DGS.
Take 6 or more credit(s) from the following:
· BMEN 8402 - New Product Design and Business Development (4.0 cr)
· BTHX 5100 - Introduction to Clinical Ethics (3.0 cr)
· BTHX 5120 - Dying in Contemporary Medical Culture (2.0 cr)
· BTHX 5210 - Ethics of Human Subjects Research (3.0 cr)
· BTHX 5300 - Foundations of Bioethics (3.0 cr)
· BTHX 8120 - Dying in Contemporary Medical Culture (2.0 cr)
· MILI 5589 - Medical Technology Evaluation and Market Research (2.0 cr)
· MOT 5001 - Technological Business Fundamentals (2.0 cr)
· MOT 5002 - Creating Technological Innovation (2.0 cr)
· MOT 5003 - Technological Business Planning Workshop (1.0 cr)
· PDES 5701 - Creativity, Idea Generation, and Innovation (3.0 cr)
· PDES 5702 - Concept Sketching and Rendering (3.0 cr)
· PDES 5704 - Computer-Aided Design Methods (3.0 cr)
· PHAR 5200 - Drugs and the U.S. Health Care System (3.0 cr)
· PHYS 5401 - Physiological Physics (4.0 cr)
· PUBH 6161 - Regulatory Toxicology (2.0 cr)
· PUBH 6414 - Biostatistical Literacy (3.0 cr)
· PUBH 7415 - Introduction to Clinical Trials (3.0 cr)
· RSC 5106 - Rehab Science: Past, Present, and Future (1.0 cr)
· Any course(s) from the BMEn Core, Biology Elective, and/or Technical Elective lists that are not being used toward another degree requirement.
Math-/Statistics-Intensive
Included in the Core and/or Elective coursework must be at least 6 credits designated as Math-/Statistics-Intensive. These are not additional credits but will overlap with coursework already satisfying the BMEn Core, Technical Elective, and/or Free Elective requirements.
Take 6 or more credit(s) from the following:
· AEM 5451 - Optimal Estimation (3.0 cr)
· AEM 5501 - Continuum Mechanics (3.0 cr)
· AEM 5503 - Theory of Elasticity (3.0 cr)
· AEM 8511 - Advanced Topics in Continuum Mechanics (3.0 cr)
· BMEN 5111 - Biomedical Ultrasound (3.0 cr)
· BMEN 5311 - Advanced Biomedical Transport Processes (3.0 cr)
· BMEN 8101 - Biomedical Digital Signal Processing (3.0 cr)
· BMEN 8201 - Advanced Tissue Mechanics (3.0 cr)
· BMEN 8381 - Bioheat and Mass Transfer (3.0 cr)
· BMEN 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models (4.0 cr)
· BMEN 8501 - Dynamical Systems in Biology (3.0 cr)
· BMEN 8502 - Physiological Control Systems (3.0 cr)
· CHEN 8101 - Fluid Mechanics I: Change, Deformation, Equations of Flow (3.0 cr)
· CHEN 8201 - Applied Mathematics I: Linear Analysis (3.0 cr)
· CHEN 8402 - Statistical Thermodynamics and Kinetics (3.0 cr)
· CHEN 8754 - Systems Analysis of Biological Processes (3.0 cr)
· EE 5251 - Optimal Filtering and Estimation (3.0 cr)
· EE 5531 - Probability and Stochastic Processes (3.0 cr)
· EE 5621 - Physical Optics (3.0 cr)
· IE 5522 - Quality Engineering and Reliability (4.0 cr)
· MATH 5248 - Cryptology and Number Theory (4.0 cr)
· MATH 5445 - Mathematical Analysis of Biological Networks (4.0 cr)
· MATH 5447 - Theoretical Neuroscience (4.0 cr)
· MATH 5587 - Elementary Partial Differential Equations I (4.0 cr)
· MATH 5651 - Basic Theory of Probability and Statistics (4.0 cr)
· MATH 5652 - Introduction to Stochastic Processes (4.0 cr)
· MATH 8202 - General Algebra (3.0 cr)
· MATH 8253 - Algebraic Geometry (3.0 cr)
· ME 5228 - Introduction to Finite Element Modeling, Analysis, and Design (4.0 cr)
· ME 5351 - Computational Heat Transfer (4.0 cr)
· ME 8341 - Conduction (3.0 cr)
· ME 8345 - Computational Heat Transfer and Fluid Flow (3.0 cr)
· PHM 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models (4.0 cr)
· PUBH 6450 - Biostatistics I (4.0 cr)
· PUBH 6451 - Biostatistics II (4.0 cr)
· PUBH 7440 - Introduction to Bayesian Analysis (3.0 cr)
· STAT 5021 - Statistical Analysis (4.0 cr)
· STAT 5101 - Theory of Statistics I (4.0 cr)
· STAT 5102 - Theory of Statistics II (4.0 cr)
· STAT 5302 - Applied Regression Analysis (4.0 cr)
· STAT 5303 - Designing Experiments (4.0 cr)
Thesis Credits
Take 24 credits after passing preliminary oral exam
BMEN 8888 - Thesis Credit: Doctoral (1.0-24.0 cr)
 
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BMEN 8001 - Polymeric Biomaterials
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to polymeric biomaterial research. Molecular engineering, characterization of properties, material-cell interaction, biocompatibility/bioactivity. Applications in biology and medicine. prereq: [5001, [CHEN 4214 or MATS 4214 or equiv]] or instr consent
BMEN 8041 - Advanced Tissue Engineering Lab
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Tissue engineering refers to the generation of biological substitutes to restore, maintain or improve tissue function. Toward this end, tools and knowledge from several disciplines might be applied including biological sciences (molecular, cellular and tissue anatomy and physiology), engineering (transport phenomena, material science, mechanical characterization) and biotechnology (cell culture, gene transfer, metabolomics). This course will cover some introductory and advanced lab techniques used in tissue engineering.
BMEN 8101 - Biomedical Digital Signal Processing
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Signal processing theory for analyzing real world digital signals. Digital signal processing and mathematically derived algorithms for analysis of stochastic signals. Spectral analyses, noise cancellation, optimal filtering, blind source separation, beamforming techniques. prereq: [[MATH 2243 or MATH 2373], [MATH 2263 or MATH 2374]] or equiv
BMEN 8201 - Advanced Tissue Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Tissues exist in dynamic mechanical environments where they must maintain a fine balance between applied loads and internal tension. Active adaptability of biological materials can significantly complicate measurement of their mechanical behavior. This course will cover fundamental continuum approaches for determining the complex stress states of actively responsive tissues as well as the force-feedback relationships that drive early development and allow mature tissues to maintain mechanical equilibrium. Topics will include theoretical approaches for active force generation, soft tissue finite growth, extracellular matrix remodeling, and constrained mixtures. These methods are applicable to a wide range of biomechanical systems. In this course, they will be applied to mechanics of two model systems: arterial growth and remodeling in hypertension and sheet folding in early organogenesis and morphogenesis. prereq: 3011 or AEM 2021 or equiv
BMEN 8381 - Bioheat and Mass Transfer
Credits: 3.0 [max 3.0]
Course Equivalencies: 01882
Typically offered: Periodic Spring
Analytical/numerical tools to analyze heat/mass transfer phenomenon in cryobiological, hyperthermic, other biomedically relevant applications. prereq: CSE grad student, upper div transport/fluids course; [physics, biology] recommended
BMEN 8421 - Biophotonics
Credits: 3.0 [max 3.0]
Prerequisites: Graduate students in physical sciences (engineering, physics, chemistry etc.), or graduate students with an undergraduate degree in the physical sciences or mathematics, or consent of instructor. In addition to previous course work in engineering and/or physics, a working understanding of microscopy is recommended. Although not required, concurrent or previous enrollment in BMEn 5421 (Biomedical Optics) is recommended.
Grading Basis: A-F or Aud
Typically offered: Every Spring
Understanding light microscopy and the interaction of light with biological materials is widely applicable to numerous research programs. In fact, it is a fundamental approach to addressing critical questions at the cellular and subcellular scales. This course will emphasize the fundamentals of light microscopy and microscopes, fundamentals of fluorescence and fluorescence microscopy (transitions, quantum yield, bleaching, lifetime etc.) and practical applications of fluorescence microscopy (confocal microscopy for optical sectioning, multiphoton microscopy, harmonic generation, FRET, FRAP, and fluorescence lifetime in the time and frequency domains). Course material will span theory, practical applications of microscopy and published literature. prereq: Graduate students in physical sciences (engineering, physics, chemistry etc.), or graduate students with an undergraduate degree in the physical sciences or mathematics, or consent of instructor. In addition to previous course work in engineering and/or physics, a working understanding of microscopy is recommended. Although not required, concurrent or previous enrollment in BMEn 5421 (Biomedical Optics) is recommended.
BMEN 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models
Credits: 4.0 [max 4.0]
Course Equivalencies: 01261 - BMEn 8431/PHM 8431
Grading Basis: A-F or Aud
Typically offered: Every Spring
Physical, chemical, physiological, mathematical principles underlying design of delivery systems for drugs. Small molecules, proteins, genes. Temporal controlled release. prereq: Differential equations course including partial differential equations or instr consent
BMEN 8501 - Dynamical Systems in Biology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Nonlinear dynamics with specific emphasis on behavior of excitable systems (neurons/cardiac myocytes). prereq: Grad student in engineering or physics or math or physiology or neuroscience
BMEN 8502 - Physiological Control Systems
Credits: 3.0 [max 3.0]
Prerequisites: 8101 or equiv
Grading Basis: A-F only
Typically offered: Every Spring
Simulation, identification, and optimization of physiological control systems. Linear and non-linear systems analysis, stability analysis, system identification, and control design strategies, including constrained, adaptive, and intelligent control. Analysis and control of physiological system dynamics in normal and diseased states. prereq: 8101 or equiv
BMEN 8511 - Systems and Synthetic Biology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Systems/synthetic biology methods used to characterize/engineer biological systems at molecular/cellular scales. Integration of quantitative experimental approaches/mathematical modeling to elucidate biological design principles, create new molecular/cellular functions.
BMEN 8601 - Biomedical Engineering Seminar
Credits: 1.0 [max 1.0]
Grading Basis: S-N or Aud
Typically offered: Every Fall
Lectures and demonstrations of university and industry research introducing students and faculty to methods and goals of biomedical engineering.
BMEN 8602 - Biomedical Engineering Seminar
Credits: 1.0 [max 1.0]
Grading Basis: S-N or Aud
Typically offered: Every Spring
Lectures and demonstrations of university and industry research introducing students and faculty to methods and goals of biomedical engineering.
BIOC 5216 - Current Topics in Signal Transduction
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Spring
Principles of cell signaling. Important signaling pathways/experimental approaches to study signal transduction. Discussion of current issues/unanswered problems in field. prereq: BioC 4332 or Biol 4004 or instr consent
BIOC 6021 - Biochemistry
Credits: 3.0 [max 3.0]
Course Equivalencies: 00467 - BioC 3021/6021/Biol 3021
Typically offered: Every Fall, Spring & Summer
Fundamentals of biochemistry. Structure/function of proteins, nucleic acids, lipids and carbohydrates. Metabolism, regulation of metabolism. Quantitative treatments of chemical equilibria, enzyme catalysis, and bioenergetics. Chemical basis of genetic information flow. prereq: general biology, organic chemistry, instr consent; intended for MBS students
BIOC 8002 - Molecular Biology and Regulation of Biological Processes
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall
Classical to current topics in molecular biology. Aspects of DNA, RNA, and protein biology. DNA replication, repair, and recombination. RNA transcription, editing, and regulation. Protein translation/modification. Technologies such as deep-sequencing micro-RNA and prions. prereq: [BMBB or MCDBG] grad student or instr consent
BIOC 8216 - Signal Transduction and Gene Expression
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Cell signaling, metabolic regulation in development. Procaryotic/eucaryotic systems used as models for discussion. Literature-based course. prereq: 8002 or instr consent
BMEN 5501 - Biology for Biomedical Engineers
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Concepts of cell/tissue structure/function. Basic principles of cell biology. Tissue engineering, artificial organs. prereq: Engineering upper div or grad student
BMEN 5701 - Cancer Bioengineering
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Cancer-specific cell, molecular/genetics events. Quantitative applications of bioinformatics/systems biology, optical imaging, cell/matrix mechanics. Drug transport (with some examination of design of novel therapeutics). prereq: [Upper division CSE undergraduate, CSE graduate student] or instr consent
CGSC 8041 - Cognitive Neuroscience
Credits: 4.0 [max 4.0]
Course Equivalencies: 01636 - CgSc 8041/NSC 8041
Grading Basis: A-F or Aud
Typically offered: Spring Even Year
Relations between brain activity and cognitive function in mammals. Working memory, attention, decision processing, executive function, categorization, planning, sequence processing. Behavioral/physiological perspectives. Disruption of cognitive function following brain damage. Extracellular recording of single neuron activity in nonhuman primates. Functional neuroimaging/magnetoencephalography in humans. prereq: instr consent
CPMS 5101 - Introduction to Clinical Physiology and Movement Science
Credits: 3.0 [max 6.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Overview of clinical physiology and clinical movement science. For students in such diverse fields as bioengineering, kinesiology, neuroscience, physical therapy, physiology, psychology, public health, occupational therapy.
EEB 5371 - Principles of Systematics
Credits: 3.0 [max 3.0]
Typically offered: Spring Odd Year
Theoretical/practical procedures of biological systematics. Phylogeny reconstruction. Computer-assisted analyses, morphological and molecular approaches, species concepts/speciation, comparative methods, classification, historical biogeography, nomenclature, use/value of museums. prereq: Grad student or instr consent
GCD 5036 - Molecular Cell Biology
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Modern, integrative approaches combining cell/molecular biology, biochemistry, and genetics to investigate cell organization/function. Membranes, signaling, extracellular matrix, secretion, endocytosis, cytoskeleton, nucleus. Analysis of scientific papers to illustrate new concepts in and experimental approaches to cell organization/function. prereq: Biol 4004 or instr consent; [sr or grad student] recommended
GCD 8103 - Human Histology
Credits: 5.0 [max 5.0]
Course Equivalencies: GCD 6103/8103
Typically offered: Every Fall
Light/electron microscopic anatomy of tissues and their organization into human organs. Emphasizes integrating structure, its relationship to function at levels from molecules to organs. Lecture, lab. prereq: Undergraduate biology, chemistry, math, and physics course; instr consent
GCD 8131 - Advanced Molecular Genetics and Genomics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Literature-based course in modern molecular genetic and genomic analysis. Students will gain a deep understanding of the fundamental molecular mechanisms controlling inheritance in biological systems. Students will gain a facility in thinking critically and creatively about how genes work at cellular, organismal, and transgenerational levels. Course instruction emphasizes active-learning approaches, student presentations, and group projects. prereq: [3022 or BIOL 4003], [BIOC 3021 or BIOC 4331] or instr consent
GCD 8151 - Cell Structure and Function
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Structure, function, and biochemistry of cellular organelles. Cellular interactions in eukaryotes. Emphasizes membranes, secretion, trafficking, cytoskeleton, cell motility, nucleus, cell cycle, apoptosis, cell signaling, and signal transduction mechanisms. prereq: [[[4034 or 8121 or BioC 8002], Biol 4004] or BMBB or MCDBconcurrent registration is required (or allowed) in G grad student] or instr consent
GCD 8161 - Advanced Developmental Biology
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Current concepts/experimental approaches to basic mechanisms of development. Model organisms. Embryology, cell fate determination, differentiation, pattern formation, polarity, cell migration, cell interactions. Analysis of original research articles. prereq: [BMBB or MCDBconcurrent registration is required (or allowed) in G grad student or GCD4161] or [[GCD 8131 or Biol 4003], Biol 4004, GCD4034]] or instr consent
MEDC 8760 - Design of Peptidomimetics
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Current approaches to design and synthesis of mimetics of biologically active peptides. Structural and conformational rationale used in peptidomimetic design. prereq: 5600 or instr consent
MICA 8002 - Structure, Function, and Genetics of Bacteria and Viruses
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Structure, function, and metabolism of microorganisms. Microbial genetics. Molecular virology. prereq: [One undergrad or grad course each in [microbiology, genetics, biochemistry]] or instr consent
MICA 8003 - Immunity and Immunopathology
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Lymphocyte activation, signal transduction in lymphocytes, antigen receptor genetics, antigen presentation, lymphoid anatomy, adaptive immune responses to microbes, immunodeficiency, immunopathology, cytokines, transplantation, autoimmunity. prereq: Upper level undergrad immunology course or instr consent
MICA 8004 - Cellular and Cancer Biology
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Fundamental concepts in cellular, molecular, and genetic basis of disease. Molecular basis of inflammation and cancer metastasis. Genetic basis for inherited disorders and gene therapy. Molecular mechanisms of pathogenesis. prereq: [One undergrad or grad course each in [biochemistry, cell biology]] or instr consent
MICA 8007 - Cell Biology and Biochemistry of the Extracellular Matrix
Credits: 3.0 [max 3.0]
Course Equivalencies: 00980 - Bioc 8007/MICa 8007
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Concepts in cell adhesion and tissue composition and importance of cell adhesion in tissue function and disease. Topics range from structure/function/assembly of tissue components to cellular adhesion mechanisms. prereq: 8002 or 8004 or instr consent
MICA 8009 - Biochemical Aspects of Normal and Abnormal Cell Growth and Cell Death
Credits: 2.0 [max 2.0]
Typically offered: Every Spring
Aspects of mechanisms involved in growth control at level of nuclear function. Neoplasia in hormonal cancers (such as prostate cancer) and role of protein phosphorylation in normal and abnormal growth. Mechanisms of cell death via apoptosis and its implications in normal and abnormal proliferation. prereq: 8004 or [BioC 3021, Biol 4004] or instr consent
NSC 5540 - Survey of Biomedical Neuroscience
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Every Summer
Current topics in biomedical neuroscience, accompanied by supporting, fundamental concepts. Intensive, one week course. prereq: instr consent, intended for members of biomedical community or students with advanced scientific backgrounds
NSC 5561 - Systems Neuroscience
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Principles of organization of neural systems forming the basis for sensation/movement. Sensory-motor/neural-endocrine integration. Relationships between structure and function in nervous system. Team taught. Lecture, laboratory. prereq: NSc grad student or instr consent
NSC 5661W - Behavioral Neuroscience (WI)
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Neural coding/representation of movement parameters. Neural mechanisms underlying higher order processes such as memorization, memory scanning, and mental rotation. Emphasizes experimental psychological studies in human subjects, single cell recording experiments in subhuman primates, and artificial neural network modeling. prereq: Grad NSc major or grad NSc minor or instr consent
NSC 5667 - Neurobiology of Disease
Credits: 2.0 -3.0 [max 3.0]
Course Equivalencies: 01537
Grading Basis: S-N or Aud
Typically offered: Fall Even Year
Basic clinical/pathological features, pathogenic mechanisms. Weekly seminar course. prereq: instr consent
NSC 8211 - Developmental Neurobiology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
How neuronal types develop. Emphasizes general mechanisms. Experimental data demonstrating mechanisms. prereq: Neuroscience grad student or instr consent
NSCI 5101 - Introduction to Neuroscience for Graduate Students
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Basic principles of cellular/molecular neurobiology and nervous system. A term paper supplements lectures. Multiple-choice exams. prereq: [BioC 3021 or BioC 4331], dept consent; intended for grad students outside neuroscience program who require comprehensive intro
OBIO 8012 - Basic Concepts in Skeletal Biology
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Cells (osteoblasts, osteoclasts, chrondrocytes) that make up skeleton. Transcription/signaling networks that regulate cell growth/differentiation. Mechanisms of bone remodeling. Regulation of bone by such agents such as hormones. Prereq Grad student or instr consent.
PHSL 5061 - Principles of Physiology for Biomedical Engineering
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Human physiology with emphasis on quantitative aspects. Organ systems (circulation, respiration, renal, gastrointestinal, endocrine, muscle, central and peripheral nervous systems), cellular transport processes, and scaling in biology. prereq: Biomedical engineering grad, one yr college chem and physics and math through integral calculus
PHSL 5115 - Clinical Physiology I
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Cellular mechanisms, disease states and clinical applications of excitable tissues: cellular transport, neurophysiology, skeletal muscle physiology, cardiovascular physiology. prereq: instr consent
PHSL 5116 - Clinical Physiology II
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Cellular mechanisms, disease states and clinical applications of metabolic systems: respiratory physiology, renal physiology, acid base physiology, metabolism, gastrointestinal physiology, endocrine physiology, physiology of pregnancy and labor. prereq: instr consent
PHSL 5510 - Advanced Cardiac Physiology and Anatomy
Credits: 2.0 -3.0 [max 3.0]
Typically offered: Every Spring
Fundamental concepts, advanced topics related to clinical/biomedical cardiac physiology. Lectures, laboratories, workshops, anatomical dissections. Intense, one week course. prereq: instr consent
PHSL 5525 - Anatomy and Physiology of the Pelvis and Urinary System
Credits: 1.0 -2.0 [max 2.0]
Course Equivalencies: 01795
Grading Basis: A-F only
Typically offered: Every Spring
Two-day intensive course. Pelvis, perineum, and urinary system with cadaveric dissection. Structure/function of pelvic and urinary organs, including common dysfunction and pathophysiology. Laboratory dissections, including kidneys, ureters, urinary bladder, pelvic viscera and perineum (male or female), pelvic floor, vascular and nervous structures. Grand rounds section. prereq: One undergrad anatomy course, one undergrad physiology course, instr consent
PSY 5015 - Cognition, Computation, and Brain
Credits: 3.0 [max 3.0]
Typically offered: Spring Even Year
Human cognitive abilities (perception, memory, attention) from different perspectives (e.g., cognitive psychological approach, cognitive neuroscience approach). prereq: [Honors or grad] or [[jr or sr], [3011 or 3031 or 3051 or 3061]] or instr consent
PSY 5062 - Cognitive Neuropsychology
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Consequences of different types of brain damage on human perception/cognition. Neural mechanisms of normal perceptual/cognitive functions. Vision/attention disorders, split brain, language deficits, memory disorders, central planning deficits. Emphasizes function/phenomenology. Minimal amount of brain anatomy. prereq: Grad or [[jr or sr], [3011 or 3031 or 3051 or 3061]] or instr consent
PSY 8041 - Proseminar in Perception
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Fall Odd Year
Seminar. Advanced topics in auditory and visual perception. Lecture, discussion, and student-led presentations of research papers on core topics of the peripheral visual and auditory systems, cortical representations, behavioral and brain-imaging methods, and computational approaches to understanding/simulating perception. prereq: Psy grad student or instr consent
RSC 5231 - Clinical Biomechanics
Credits: 2.0 -5.0 [max 5.0]
Course Equivalencies: 00598
Prerequisites: &PT 6231, general physics, [intro or short] calculus, anatomy; intensive anatomy course in human cadaver dissection recommended
Grading Basis: A-F only
Typically offered: Every Fall
Biomechanics. Internal/external forces/structures responsible for normal/abnormal human movement. Joint and tissue mechanics, muscle function, task analysis, and gait mechanics. Lecture and lab practice. prereq: concurrent registration is required (or allowed) in PT 6231, general physics, [intro or short] calculus, anatomy; intensive anatomy course in human cadaver dissection recommended
RSC 5281 - Scientific Foundations: Exercise Theory
Credits: 3.0 [max 3.0]
Course Equivalencies: 00855 - PT 6281/RSC 5281
Prerequisites: Rehabilitation Science grad student
Grading Basis: A-F only
Typically offered: Every Fall
In-depth presentation of fundamental concepts in exercise physiology/exercise biochemistry related primarily to skeletal muscle, secondarily to cardiovascular system/connective tissue. Exercise/performance-enhancing ergogenic aids. prereq: Rehabilitation Science grad student
RSC 8282 - Problems in Human Movement
Credits: 4.0 [max 4.0]
Prerequisites: [Rehabilitation science student or program permission], #
Grading Basis: A-F or Aud
Typically offered: Every Spring
Fundamental principles of neurophysiology, neurology, motor control, and motor learning as a basis for therapeutic intervention in motor dysfunction. prereq: [Rehabilitation science student or program permission], instr consent
SCB 8181 - Stem Cell Biology
Credits: 3.0 [max 3.0]
Course Equivalencies: 01725
Typically offered: Every Fall
Stem cell research and its applications. Critical analysis, written summaries/critiques, oral presentations. prereq: [[GCD 4034], [GCD 4161]] or equiv or instr consent
AEM 5401 - Intermediate Dynamics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Three-dimensional Newtonian mechanics, kinematics of rigid bodies, dynamics of rigid bodies, generalized coordinates, holonomic constraints, Lagrange equations, applications. prereq: CSE upper div or grad, 2012, Math 2243
AEM 5451 - Optimal Estimation
Credits: 3.0 [max 3.0]
Course Equivalencies: 01703
Typically offered: Fall Even Year
Basic probability theory. Batch/recursive least squares estimation. Filtering of linear/non-linear systems using Kalman and extended Kalman filters. Applications to sensor fusion, fault detection, and system identification. prereq: [[MATH 2243 or STAT 3021 or equiv], [4321 or EE 4231 or ME 5281 or equiv]] or instr consent
AEM 5501 - Continuum Mechanics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Concepts common to all continuous media; elements of tensor analysis; motion, deformation, vorticity; material derivatives; mass, continuity equation; balance of linear, angular momentum; geometric characterization of stress; constitutive equations. prereq: CSE upper div or grad, 3031, Math 2243 or equiv or instr consent
AEM 5503 - Theory of Elasticity
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to the theory of elasticity, with emphasis on linear elasticity. Linear and nonlinear strain measures, boundary-value problem for linear elasticity, plane problems in linear elasticity, three dimensional problems in linear elasticity. Topics from nonlinear elasticity, micromechanics, contact problems, fracture mechanics. prereq: 4501 or equiv, Math 2263 or equiv or instr consent
AEM 8511 - Advanced Topics in Continuum Mechanics
Credits: 3.0 [max 6.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Constitutive equations; invariance and thermodynamic restrictions. Nonlinear elasticity theory; exact solutions, minimization, stability. Non-Newtonian fluids; viscometric flows, viscometric functions, normal stress. Other topics may include reactive and/or nonreactive mixtures, nonlinear plasticity, and deformable electromagnetic continua. prereq: 5501 or instr consent
AEM 8531 - Fracture Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Theories of mechanical breakdown. Kinetic rate theories and instability considerations; formation of equilibrium cracks and circular crack propagation under pulses; statistical aspects of strength and fracture of micromolecular systems; time and temperature dependency in fracture problems and instability of compressed material systems. prereq: 5503 or instr consent
BIOC 5352 - Biotechnology and Bioengineering for Biochemists
Credits: 3.0 [max 3.0]
Course Equivalencies: BioC/MicB 5352
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Protein biotechnology. Microorganisms used as hosts for protein expression, protein expression, and engineering methods. Production of enzymes of industrial interest. Applications of protein biotechnology in bioelectronics. Formulation of therapeutic biopharmaceuticals. prereq: [[3021 or 4331 or BIOL 3021 or or MICB 4111], [BIOL 3301 or MICB 3301]] or instr consent
BIOC 5528 - Spectroscopy and Kinetics
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Biochemical dynamics from perspectives of kinetics and spectroscopy. Influence of structure, molecular interactions, and chemical transformations on biochemical reactions. Focuses on computational, spectroscopic, and physical methods. Steady-state and transient kinetics. Optical and magnetic resonance spectroscopies. prereq: Intro physical chemistry or equiv; intro biochemistry recommended
BMEN 5001 - Advanced Biomaterials
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Commonly used biomaterials. Chemical/physical aspects. Practical examples from such areas as cardiovascular/orthopedic applications, drug delivery, and cell encapsulation. Methods used for chemical analysis and for physical characterization of biomaterials. Effect of additives, stabilizers, processing conditions, and sterilization methods. prereq: 3301 or MatS 3011 or grad student or instr consent
BMEN 5041 - Tissue Engineering
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Fundamentals of wound healing and tissue repair; characterization of cell-matrix interactions; case study of engineered tissues, including skin, bone marrow, liver, vessel, and cartilage; regulation of biomaterials and engineered tissues. prereq: CSE upper div or grad student or med student or instr consent
BMEN 5101 - Advanced Bioelectricity and Instrumentation
Credits: 3.0 [max 3.0]
Typically offered: Periodic Spring
Instrumentation, computer systems, and processing requirements for clinical physiological signals. Electrode characteristics, signal processing, and interpretation of physiological events by ECG, EEG, and EMG. Measurement of respiration and blood volume/flow. prereq: [CSE upper div, grad student] or instr consent
BMEN 5111 - Biomedical Ultrasound
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Introduction to biomedical ultrasound, including physics of ultrasound, transducer technology, medical ultrasound imaging, photoacoustic imaging, applications of non-linear acoustics, and high-intensity ultrasound. prereq: [[PHYS 1302 or equiv], [MATH 2374 or equiv]] or instr consent
BMEN 5151 - Introduction to BioMEMS and Medical Microdevices
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Design/microfabrication of sensors, actuators, drug delivery systems, microfluidic devices, and DNA/protein microarrays. Packaging, biocompatibility, ISO 10993 standards. Applications in medicine, research, and homeland security. prereq: CSE sr or grad student or medical student
BMEN 5201 - Advanced Biomechanics
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Introduction to biomechanics of musculoskeletal system. Anatomy, tissue material properties. Kinematics, dynamics, and control of joint/limb movement. Analysis of forces/motions within joints. Application to injury, disease. Treatment of specific joints, design of orthopedic devices/implants. prereq: [[3001 or equiv], [CSE upper div or grad student]] or instr consent
BMEN 5311 - Advanced Biomedical Transport Processes
Credits: 3.0 [max 3.0]
Course Equivalencies: 00490 - BMEn 5311/ChEn 5753/ME 5381
Typically offered: Every Spring
Fluid flow and mass transfer in the body, bioreactors, and medical devices. Pulsatile flows. Flows around curved and deformable vessels. Boundary layer flows. Blood rheology. Interstitial (porous media) flows. Oxygenation. Cell migration. Student critiques of published papers.
BMEN 5321 - Microfluidics in Biology and Medicine
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Fundamentals of microfluidics. Fluid mechanics/transport phenomena in microscale systems. Pressure/surface driven flows. Capillary forces, electrokinetics, hydraulic circuit analysis. Finite element modeling for microfluidic systems. Design/fabrication methods for microfluidic devices. prereq: [3111, AEM 4201, ChEn 4005, [ME 3331 or ME 3332 or CSE grad student or instr consent]
BMEN 5351 - Cell Engineering
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Engineering approaches to cell-related phenomena important to cell/tissue engineering. Receptor/ligand binding. Trafficking/signaling processes. Applications to cell proliferation, adhesion, and motility. Cell-matrix interactions. prereq: [2401, [2501 or concurrent registration is required (or allowed) in 5501], [MATH 2243 or MATH 2373]] or CSE upper div or grad student or instr consent
BMEN 5401 - Advanced Biomedical Imaging
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Functional biomedical imaging modalities. Principles/applications of technologies that offer high spatial/temporal resolution. Bioelectromagnetic and magnetic resonance imaging. Other modalities. prereq: CSE upper div or grad student or instr consent
BMEN 5411 - Neural Engineering
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Theoretical basis. Signal processing techniques. Modeling of nervous system, its response to stimulation. Electrode design, neural modeling, cochlear implants, deep brain stimulation. Prosthetic limbs, micturition control, prosthetic vision. Brain machine interface, seizure prediction, optical imaging of nervous system, place cell recordings in hippocampus. prereq: 3401 recommended
BMEN 5412 - Neuromodulation
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Fundamentals of bioengineering approaches to modulate the nervous system, including bioelectricity, biomagnetism, and optogenetics. Computational modeling, design, and physiological mechanisms of neuromodulation technologies. Clinical exposure to managing neurological disorders with neuromodulation technology.
BMEN 5413 - Neural Decoding and Interfacing
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Neural interface technologies currently in use in patients as well as the biophysical, neural coding, and hardware features relating to their implementation in humans. Practical and ethical considerations for implanting these devices into humans. prereq: 5411, [3201 or 3401 or equiv recommended]
BMEN 5421 - Introduction to Biomedical Optics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Biomedical optical imaging/sensing principles, laser-tissue interaction, detector design, noise analysis, interferometry, spectroscopy. Optical coherence tomography, polarization, birefringence, flow measurement, fluorescence, nonlinear microscopy. Tours of labs. prereq: CSE sr or grad student
BMEN 8001 - Polymeric Biomaterials
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to polymeric biomaterial research. Molecular engineering, characterization of properties, material-cell interaction, biocompatibility/bioactivity. Applications in biology and medicine. prereq: [5001, [CHEN 4214 or MATS 4214 or equiv]] or instr consent
BMEN 8101 - Biomedical Digital Signal Processing
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Signal processing theory for analyzing real world digital signals. Digital signal processing and mathematically derived algorithms for analysis of stochastic signals. Spectral analyses, noise cancellation, optimal filtering, blind source separation, beamforming techniques. prereq: [[MATH 2243 or MATH 2373], [MATH 2263 or MATH 2374]] or equiv
BMEN 8201 - Advanced Tissue Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Tissues exist in dynamic mechanical environments where they must maintain a fine balance between applied loads and internal tension. Active adaptability of biological materials can significantly complicate measurement of their mechanical behavior. This course will cover fundamental continuum approaches for determining the complex stress states of actively responsive tissues as well as the force-feedback relationships that drive early development and allow mature tissues to maintain mechanical equilibrium. Topics will include theoretical approaches for active force generation, soft tissue finite growth, extracellular matrix remodeling, and constrained mixtures. These methods are applicable to a wide range of biomechanical systems. In this course, they will be applied to mechanics of two model systems: arterial growth and remodeling in hypertension and sheet folding in early organogenesis and morphogenesis. prereq: 3011 or AEM 2021 or equiv
BMEN 8381 - Bioheat and Mass Transfer
Credits: 3.0 [max 3.0]
Course Equivalencies: 01882
Typically offered: Periodic Spring
Analytical/numerical tools to analyze heat/mass transfer phenomenon in cryobiological, hyperthermic, other biomedically relevant applications. prereq: CSE grad student, upper div transport/fluids course; [physics, biology] recommended
BMEN 8401 - New Product Design and Business Development
Credits: 4.0 [max 4.0]
Course Equivalencies: BMEn 8401/Entr 6087/ME 8221
Prerequisites: BME graduate student, some design experience; 8401, 8402 must be taken same yr
Grading Basis: A-F or Aud
Typically offered: Every Fall
Student teams work with CSE and CSOM faculty and company representatives to develop a product concept for sponsoring company. Assignments include concept/detail design, manufacturing, marketing, introduction strategy, profit forecasting, production of product prototype. prereq: BME graduate student, some design experience; 8401, 8402 must be taken same yr
BMEN 8421 - Biophotonics
Credits: 3.0 [max 3.0]
Prerequisites: Graduate students in physical sciences (engineering, physics, chemistry etc.), or graduate students with an undergraduate degree in the physical sciences or mathematics, or consent of instructor. In addition to previous course work in engineering and/or physics, a working understanding of microscopy is recommended. Although not required, concurrent or previous enrollment in BMEn 5421 (Biomedical Optics) is recommended.
Grading Basis: A-F or Aud
Typically offered: Every Spring
Understanding light microscopy and the interaction of light with biological materials is widely applicable to numerous research programs. In fact, it is a fundamental approach to addressing critical questions at the cellular and subcellular scales. This course will emphasize the fundamentals of light microscopy and microscopes, fundamentals of fluorescence and fluorescence microscopy (transitions, quantum yield, bleaching, lifetime etc.) and practical applications of fluorescence microscopy (confocal microscopy for optical sectioning, multiphoton microscopy, harmonic generation, FRET, FRAP, and fluorescence lifetime in the time and frequency domains). Course material will span theory, practical applications of microscopy and published literature. prereq: Graduate students in physical sciences (engineering, physics, chemistry etc.), or graduate students with an undergraduate degree in the physical sciences or mathematics, or consent of instructor. In addition to previous course work in engineering and/or physics, a working understanding of microscopy is recommended. Although not required, concurrent or previous enrollment in BMEn 5421 (Biomedical Optics) is recommended.
BMEN 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models
Credits: 4.0 [max 4.0]
Course Equivalencies: 01261 - BMEn 8431/PHM 8431
Grading Basis: A-F or Aud
Typically offered: Every Spring
Physical, chemical, physiological, mathematical principles underlying design of delivery systems for drugs. Small molecules, proteins, genes. Temporal controlled release. prereq: Differential equations course including partial differential equations or instr consent
BMEN 8501 - Dynamical Systems in Biology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Nonlinear dynamics with specific emphasis on behavior of excitable systems (neurons/cardiac myocytes). prereq: Grad student in engineering or physics or math or physiology or neuroscience
BMEN 8502 - Physiological Control Systems
Credits: 3.0 [max 3.0]
Prerequisites: 8101 or equiv
Grading Basis: A-F only
Typically offered: Every Spring
Simulation, identification, and optimization of physiological control systems. Linear and non-linear systems analysis, stability analysis, system identification, and control design strategies, including constrained, adaptive, and intelligent control. Analysis and control of physiological system dynamics in normal and diseased states. prereq: 8101 or equiv
BMEN 8511 - Systems and Synthetic Biology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Systems/synthetic biology methods used to characterize/engineer biological systems at molecular/cellular scales. Integration of quantitative experimental approaches/mathematical modeling to elucidate biological design principles, create new molecular/cellular functions.
CHEM 8021 - Computational Chemistry
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Modern theoretical methods used in study of molecular structure, bonding, reactivity. Concepts/practical applications. Determination of spectra, relationship to experimental techniques. Molecular mechanics. Critical assessment of reliability of methods. prereq: 4502 or equiv
CHEN 5751 - Biochemical Engineering
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Chemical engineering principles applied to analysis/design of complex cellular/enzyme processes. Quantitative framework for design of cells for production of proteins, synthesis of antibodies with mammalian cells, or degradation of toxic compounds in contaminated soil. prereq: [3005 or 4005], [concurrent registration is required (or allowed) in 3006 or concurrent registration is required (or allowed) in 4006], [concurrent registration is required (or allowed) in 3102 or concurrent registration is required (or allowed) in 4102]
CHEN 8101 - Fluid Mechanics I: Change, Deformation, Equations of Flow
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Equations of change of mass, momentum, angular momentum. Kinematics of deformation, convective transport. Applications to fluid statics/dynamics of Newtonian fluids. Examples of exact solutions of Navier-Stokes equations, useful simplifications. prereq: Chemical engineering grad student or instr consent
CHEN 8201 - Applied Mathematics I: Linear Analysis
Credits: 3.0 [max 3.0]
Course Equivalencies: ChEn 4701/8201
Grading Basis: A-F or Aud
Typically offered: Every Fall
Integrated approach to solving linear mathematical problems. Linear algebraic equations. Linear ordinary and partial differential equations using theoretical/numerical analysis based on linear operator theory. prereq: Chemical engineering grad student or instr consent
CHEN 8221 - Synthetic Polymer Chemistry
Credits: 4.0 [max 4.0]
Course Equivalencies: 00295 - ChEn 8221/MatS 8221/Chem 8221
Grading Basis: A-F or Aud
Typically offered: Every Fall
Condensation, radical, ionic, emulsion, ring-opening, metal-catalyzed polymerizations. Chain conformation, solution thermodynamics, molecular weight characterization, physical properties. prereq: [Undergrad organic chemistry course, undergrad physical chemistry course] or instr consent
CHEN 8301 - Physical Rate Processes I: Transport
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Survey of mass transfer, dilute, and concentrated diffusion. Brownian motion. Diffusion coefficients in polymers, of electrolytes, and at critical points. Multicomponent diffusion. Mass transfer correlations/predictions. Mass transfer coupled with chemical reaction.
CHEN 8402 - Statistical Thermodynamics and Kinetics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to statistical mechanical description of equilibrium and non-equilibrium properties of matter. Emphasizes fluids, classical statistical mechanics. prereq: Chemical engineering grad student or instr consent
CHEN 8754 - Systems Analysis of Biological Processes
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Relating biological processes at molecular level to physiological level of cells/organisms/populations. Methodology for analyzing data. Quantification of molecular interplays. prereq: Grad student in [life sciences or chemical/physical sciences or engineering]; ChEn students must take A/F
CSCI 5211 - Data Communications and Computer Networks
Credits: 3.0 [max 3.0]
Course Equivalencies: 00495 - CSci 4211/5211
Typically offered: Every Fall
Cconcepts, principles, protocols, and applications of computer networks. Layered network architectures, data link protocols, local area networks, network layer/routing protocols, transport, congestion/flow control, emerging high-speed networks, network programming interfaces, networked applications. Case studies using Ethernet, Token Ring, FDDI, TCP/IP, ATM, Email, HTTP, and WWW. prereq: [4061 or instr consent], basic knowledge of [computer architecture, operating systems, probability], grad student
CSCI 5511 - Artificial Intelligence I
Credits: 3.0 [max 3.0]
Course Equivalencies: 01666
Prerequisites: [2041 or #], grad student
Typically offered: Every Fall
Introduction to AI. Problem solving, search, inference techniques. Logic/theorem proving. Knowledge representation, rules, frames, semantic networks. Planning/scheduling. Lisp programming language. prereq: [2041 or instr consent], grad student
EE 5141 - Introduction to Microsystem Technology
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Microelectromechanical systems composed of microsensors, microactuators, and electronics integrated onto common substrate. Design, fabrication, and operation principles. Labs on micromachining, photolithography, etching, thin film deposition, metallization, packaging, and device characterization. prereq: [3161, 3601, CSE grad student] or dept consent
EE 5171 - Microelectronic Fabrication
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Fabrication of microelectronic devices. Silicon integrated circuits, GaAs devices. Lithography, oxidation, diffusion. Process integration of various technologies, including CMOS, double poly bipolar, and GaAs MESFET. prereq: CSE grad student or dept consent
EE 5251 - Optimal Filtering and Estimation
Credits: 3.0 [max 3.0]
Course Equivalencies: 01703 - AEM 5451/EE 5251
Typically offered: Every Fall
Basic probability theory, stochastic processes. Gauss-Markov model. Batch/recursive least squares estimation. Filtering of linear/nonlinear systems. Continuous-time Kalman-Bucy filter. Unscented Kalman filter, particle filters. Applications. prereq: [[[MATH 2243, STAT 3021] or equiv], CSE grad student] or dept consent; 3025, 4231 recommended
EE 5323 - VLSI Design I
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Combinational static CMOS circuits. Transmission gate networks. Clocking strategies, sequential circuits. CMOS process flows, design rules, structured layout techniques. Dynamic circuits, including Domino CMOS and DCVS. Performance analysis, design optimization, device sizing. prereq: [2301, 3115, CSE grad student] or dept consent
EE 5333 - Analog Integrated Circuit Design
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Fundamental circuits for analog signal processing. Design issues associated with MOS/BJT devices. Design/testing of circuits. Selected topics (e.g., modeling of basic IC components, design of operational amplifier or comparator or analog sampled-data circuit filter). prereq: [3115, CSE grad student] or dept consent
EE 5393 - Circuits, Computation, and Biology
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Connections between digital circuit design and synthetic/computational biology. Probabilistic, discrete-event simulation. Timing analysis. Information-Theoretic Analysis. Feedback in digital circuits/genetic regulatory systems. Synthesizing stochastic logic and probabilistic biochemistry. prereq: MATH 2263 or dept consent
EE 5531 - Probability and Stochastic Processes
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Probability, random variables and random processes. System response to random inputs. Gaussian, Markov and other processes for modeling and engineering applications. Correlation and spectral analysis. Estimation principles. Examples from digital communications and computer networks. prereq: [3025, CSE grad student] or dept consent
EE 5621 - Physical Optics
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Physical optics principles, including Fourier analysis of optical systems/images, scalar diffraction theory, interferometry, and coherence theory. Diffractive optical elements, holography, astronomical imaging, optical information processing, microoptics. prereq: [3015, CSE grad student] or dept consent
HINF 5430 - Health Informatics I
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Introductory survey of health informatics, focusing on foundational concepts. Conceptualizations of data, information, knowledge. Current terminologies, coding, classification systems for medical information. Ethics, privacy, security. Systems analysis, process/data modeling. Human-computer interaction/data visualization. prereq: Junior or senior or grad student or professional student or instr consent
HINF 5431 - Health Informatics II
Credits: 3.0 [max 3.0]
Prerequisites: Junior or senior or grad student or professional student or #
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introductory survey of health informatics, focusing on applications of informatics concepts/technologies. Health informatics research, literature, evaluation. Decision models. Computerized decision support systems. Data mining, natural language processing, other emerging technologies. Security for health care information handling. prereq: Junior or senior or grad student or professional student or instr consent
HUMF 5211 - Human Factors and Work Analysis
Credits: 4.0 [max 4.0]
Course Equivalencies: 01553 - HumF 5211/IE 5511/ME 5211
Grading Basis: A-F or Aud
Typically offered: Every Fall
Human factors engineering (ergonomics), methods engineering, work measurement. Displays, controls, instrument layout, supervisory control. Anthropometry, work physiology, biomechanics. Noise, illumination, toxicology. Operations analysis, motion study, time standards.
IE 5111 - Systems Engineering I
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Overview of systems-level thinking/techniques in context of an integrated, design-oriented framework. Elements of systems engineering process, including lifecycle, concurrent, and global engineering. Framework for engineering large-scale, complex systems. How specific techniques fit into framework. prereq: CSE upper div or grad student
IE 5112 - Introduction to Operations Research
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Survey of Operations Research models/methods in deterministic/stochastic settings. Linear programming, integer programming, networks, forecasting, Markov chains, and queuing systems. Examples from various application areas, such as systems engineering, logistics, design, and project management. prereq: [Math 2243 or Math 2373 or equiv], [one semester of probability or statistics], [CSE upper div or grad student]
IE 5113 - Systems Engineering II
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Systems engineering thinking/techniques presented in 5111. Hands-on techniques applied to specific problems. Topics pertinent to effectiveness of design process. Practices and organizational/reward structure to support collaborative, globally distributed design team.
IE 5511 - Human Factors and Work Analysis
Credits: 4.0 [max 4.0]
Course Equivalencies: 01553
Grading Basis: A-F or Aud
Typically offered: Every Fall
Human factors engineering (ergonomics), methods engineering, and work measurement. Human-machine interface: displays, controls, instrument layout, and supervisory control. Anthropometry, work physiology and biomechanics. Work environmental factors: noise, illumination, toxicology. Methods engineering, including operations analysis, motion study, and time standards. prereq: Upper div CSE or grad student
IE 5522 - Quality Engineering and Reliability
Credits: 4.0 [max 4.0]
Course Equivalencies: 01914 - IE 3522/IE 5522
Typically offered: Periodic Fall & Spring
Quality engineering/management, economics of quality, statistical process control design of experiments, reliability, maintainability, availability. prereq: [4521 or equiv], [upper div or grad student or CNR]
IE 5541 - Project Management
Credits: 4.0 [max 4.0]
Course Equivalencies: 01916
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Introduction to engineering project management. Analytical methods of selecting, organizing, budgeting, scheduling, and controlling projects, including risk management, team leadership, and program management. prereq: Upper div or grad student
IE 5545 - Decision Analysis
Credits: 4.0 [max 4.0]
Typically offered: Periodic Fall
Normative theories of decision making. Emphasizes structuring of hard decision problems arising in business and public policy contexts. Decision trees, expected utility theory, screening prospects by dominance, assessment of subjective probability, multiple attribute utility, analytic hierarchy process, benchmarking with data envelopment analysis, basics of game theory. prereq: 3521 or equiv
IE 5553 - Simulation
Credits: 4.0 [max 4.0]
Course Equivalencies: 01915 - IE 3553/IE 5553
Typically offered: Periodic Fall & Spring
Discrete event simulation. Using integrated simulation/animation environment to create, analyze, and evaluate realistic models for various industry settings, including manufacturing/service operations and systems engineering. Experimental design for simulation. Selecting input distributions, evaluating simulation output. prereq: Upper div or grad student; familiarity with probability/statistics recommended
MATH 5248 - Cryptology and Number Theory
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Classical cryptosystems. One-time pads, perfect secrecy. Public key ciphers: RSA, discrete log. Euclidean algorithm, finite fields, quadratic reciprocity. Message digest, hash functions. Protocols: key exchange, secret sharing, zero-knowledge proofs. Probablistic algorithms: pseudoprimes, prime factorization. Pseudo-random numbers. Elliptic curves. prereq: 2 sems soph math
MATH 5445 - Mathematical Analysis of Biological Networks
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Development/analysis of models for complex biological networks. Examples taken from signal transduction networks, metabolic networks, gene control networks, and ecological networks. prereq: Linear algebra, differential equations
MATH 5447 - Theoretical Neuroscience
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Nonlinear dynamical system models of neurons and neuronal networks. Computation by excitatory/inhibitory networks. Neural oscillations, adaptation, bursting, synchrony. Memory systems. prereq: 2243 or 2373 or 2574
MATH 5587 - Elementary Partial Differential Equations I
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Emphasizes partial differential equations w/physical applications, including heat, wave, Laplace's equations. Interpretations of boundary conditions. Characteristics, Fourier series, transforms, Green's functions, images, computational methods. Applications include wave propagation, diffusions, electrostatics, shocks. prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]
MATH 5651 - Basic Theory of Probability and Statistics
Credits: 4.0 [max 4.0]
Course Equivalencies: 00259 - MATH 4653/Math 5651/Stat 5101
Typically offered: Every Fall & Spring
Logical development of probability, basic issues in statistics. Probability spaces, random variables, their distributions/expected values. Law of large numbers, central limit theorem, generating functions, sampling, sufficiency, estimation. prereq: [2263 or 2374 or 2573], [2243 or 2373]; [2283 or 2574 or 3283] recommended.
MATH 5652 - Introduction to Stochastic Processes
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Random walks, Markov chains, branching processes, martingales, queuing theory, Brownian motion. prereq: 5651 or Stat 5101
MATH 8202 - General Algebra
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Classical field theory through Galois theory, including solvable equations. Symmetric, Hermitian, orthogonal, and unitary form. Tensor and exterior algebras. Basic Wedderburn theory of rings; basic representation theory of groups. prereq: 8201 or instr consent
MATH 8253 - Algebraic Geometry
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Curves, surfaces, projective space, affine and projective varieties. Rational maps. Blowing-up points. Zariski topology. Irreducible varieties, divisors. prereq: 8202 or instr consent
MATS 8001 - Structure and Symmetry of Materials
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Comprehensive description of structure of materials, including metals, semiconductors, organic crystals, polymers, and liquid crystals. Atomic and molecular ordering, influence of intermolecular forces on symmetry and structure. Principles of scattering and use of X-ray, neutron, and electron diffraction. prereq: MatS and ChEn majors must take this course for a grade
MATS 8002 - Thermodynamics and Kinetics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
First three laws of thermodynamics, free energy, equilibrium constants, fugacity and activity relationships, solution models, order-disorder transitions, phase transitions. Elementary statistical mechanics. Applications to materials systems, including surface energies, multicomponent equilibria, reaction kinetics, mass transport, diffusion.
MATS 8003 - Electronic Properties
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Basic physical theory of bonding in metals, alloys, and semiconductors. Review of modern physics, statistical physics, and solid state physics. Structure of matter emphasizing electronic processes. Techniques for predicting and understanding electronic structure of solids. Transport theory, elementary theory of magnetism, and superconductivity. prereq: instr consent
ME 5228 - Introduction to Finite Element Modeling, Analysis, and Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Finite elements as principal analysis tool in computer-aided design (CAD); theoretical issues and implementation aspects for modeling and analyzing engineering problems encompassing stress analysis, heat transfer, and flow problems for linear situations. One-, two-, and three-dimensional practical engineering applications. prereq: CSE upper div or grad, 3221, AEM 3031, CSci 1113, MatS 2001
ME 5241 - Computer-Aided Engineering
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Apply computer-aided engineering to mechanical design. Engineering design projects and case studies using computer-aided design and finite element analysis software; design optimization and computer graphical presentation of results. prereq: 3222, CSci 1113 or equiv, CSE upper div or grad
ME 5243 - Advanced Mechanism Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Summer
Analytical methods of kinematic, dynamic, and kinetoelastodynamic analysis and synthesis of mechanisms. Computerized design for function, path, and motion generation based on Burmeister theory. prereq: CSE upper div or grad, 3222 or equiv, basic kinematics and dynamics of machines; knowledge of CAD packages such as Pro-E recommended
ME 5247 - Stress Analysis, Sensing, and Transducers
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Electrical resistance strain gage theory and technology. Gage characteristics, selection, and use. Bridge circuits and temperature and stray strain compensation. Signal conditioning. Data analysis. Photoelasticity techniques. Interpretation of fringe patterns. Sensor principles and performance. Transducer design and characterization. prereq: AEM 3031, MatS 2001
ME 5281 - Analog and Digital Control
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Continuous and discrete time feedback control systems. Frequency response, stability, poles and zeros; transient responses; Nyquist and Bode diagrams; root locus; lead-lag and PID compensators, Nicols-Ziegler design method. Digital implementation aliasing; computer-aided design and analysis of control system. prereq: 3281
ME 5286 - Robotics
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Manipulator forward/inverse kinematics, homogeneous transformations, coordinate frames, Jacobian/velocity control, task primitives/programming, computational issues. Determining path trajectories. Reaction forces, manipulator dynamics/control. Vehicle kinematics, dynamics, and guidance. Lab project demonstrates concepts. prereq: [3281 or equiv], [upper div ME or AEM or CSci or grad student]
ME 5341 - Case Studies in Thermal Engineering and Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Characteristics of applied heat transfer problems. Nature of problem specification, incompleteness of needed knowledge base, accuracy issues. Categories of applied heat transfer problems. prereq: 3333, CSE upper div or grad student
ME 5351 - Computational Heat Transfer
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Numerical solution of heat conduction/analogous physical processes. Develop/use computer program to solve complex problems involving steady/unsteady heat conduction, flow/heat transfer in ducts, flow in porous media. prereq: 3333, CSE upper div or grad student
ME 8341 - Conduction
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Advanced understanding/application of conduction/diffusion to heat/mass transfer problems. Solving ordinary/partial differential equations related to physics of diffusion. Special topics in numerical microscale heat transfer. prereq: Undergrad class in heat transfer or instr consent
ME 8345 - Computational Heat Transfer and Fluid Flow
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Finite volume method for solution of governing equations for heat transfer and fluid flow. Mathematical models of turbulence. Construction of general computer program. Practical applications. prereq: CSE grad student
MPHY 8147 - Advanced Physics of Magnetic Resonance Imaging (MRI)
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
NMR (nuclear magnetic resonance) and MRI physics, spatial selection and encoding, imaging hardware and system engineering. Imaging sequences, associated contrast/resolution. Recent developments in MRI. prereq: 5174 or instr consent
NSC 5202 - Theoretical Neuroscience: Systems and Information Processing
Credits: 3.0 [max 3.0]
Course Equivalencies: NSc 5202/Phsl 5202
Typically offered: Every Spring
Concepts of computational/theoretical neuroscience. Distributed representations and information theory. Methods for single-cell modeling, including compartmental/integrate-and-fire models. Learning rules, including supervised, unsupervised, and reinforcement learning models. Specific systems models from current theoretical neuroscience literature. Lecture/discussion. Readings from current scientific literature. prereq: [3101, 3102W] recommended
PHM 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models
Credits: 4.0 [max 4.0]
Course Equivalencies: 01261 - BMEn 8431/PHM 8431
Grading Basis: A-F or Aud
Typically offered: Every Spring
Physical, chemical, physiological, cell biological, mathematical principles underlying design of delivery systems for drugs. Small molecules, proteins, genes. prereq: Differential equations course including introduction to partial differential equations or instr consent
PHYS 5081 - Introduction to Biopolymer Physics
Credits: 3.0 [max 3.0]
Course Equivalencies: 00744 - Phys 4911/5081
Typically offered: Periodic Fall
Introduction to biological and soft condensed matter physics. Emphasizes physical ideas necessary to understand behavior of macromolecules and other biological materials. prereq: working knowledge of [thermodynamics, statistical mechanics]
PHYS 5402 - Radiological Physics
Credits: 4.0 [max 4.0]
Prerequisites: Two semesters of introductory calculus-based physics, such as PHYS1302W. Students not sure if they meet prerequisites should consult instructor.
Typically offered: Spring Even Year
Signal analysis, medical imaging, medical x-rays, tomography, radiation therapy, nuclear medicine, MRI, similar topics. prereq: Two semesters of introductory calculus-based physics, such as PHYS1302W. Students not sure if they meet prerequisites should consult instructor.
PSY 5065 - Functional Imaging: Hands-on Training
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Basic neuroimaging techniques/functional magnetic resonance imaging (fMRI). First half of semester covers basic physical principles. Second half students design/execute fMRI experiment on Siemens 3 Tesla scanner. prereq: [3801 or equiv], [3061 or NSCI 3101], instr consent
PUBH 6415 - Biostatistical Methods II
Credits: 3.0 [max 3.0]
Typically offered: Every Spring & Summer
Statistical computing. Data transformations. Relative risk, odds ratio estimation. Logistic regression. Survival analysis. Kaplan-Meier tables, survival curves. prereq: 6414, [MPH or certificate] or instr consent
PUBH 6450 - Biostatistics I
Credits: 4.0 [max 4.0]
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Descriptive statistics. Gaussian probability models, point/interval estimation for means/proportions. Hypothesis testing, including t, chi-square, and nonparametric tests. Simple regression/correlation. ANOVA. Health science applications using output from statistical packages. prereq: [College-level algebra, health sciences grad student] or instr consent
PUBH 6451 - Biostatistics II
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Two-way ANOVA, interactions, repeated measures, general linear models. Logistic regression for cohort and case-control studies. Loglinear models, contingency tables, Poisson regression, survival data, Kaplan-Meier methods, proportional hazards models. prereq: [PubH 6450 with grade of at least B, health sciences grad student] or instr consent
PUBH 7440 - Introduction to Bayesian Analysis
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Introduction to Bayesian methods. Comparison with traditional frequentist methods. Emphasizes data analysis via modern computing methods: Gibbs sampler, WinBUGS software package. prereq: [[7401 or STAT 5101 or equiv], [public health MPH or biostatistics or statistics] grad student] or instr consent
RSC 5135 - Advanced Biomechanics I: Kinematics
Credits: 3.0 [max 3.0]
Course Equivalencies: 02431
Grading Basis: A-F or Aud
Typically offered: Fall Odd Year
How to describe/measure movement. Basic/applied biomechanics, pathokinesiology, and rehabilitation literature. Lecture, lab, seminar discussion. Meets with RSC 8135. prereq: instr consent
RSC 5200 - Introduction to Transcranial Magnetic Stimulation
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Fall Even Year
Theory/application of transcranial magnetic stimulation (TMS)to measure corticospinal excitability. Must sign consent form. Resting/active motor thresholds, single hemisphere paired-pulse testing, bilateral interhemispheric inhibition paired-pulse testing, input-output recruitment curves, cortical silent periods, H reflex testing.
RSC 5235 - Advanced Biomechanics II: Kinetics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Spring Even Year
Forces that create human motion and are produced within body as a result. Measuring human motion. Clinical movement assessment, Exercise, sport, and activities of daily living. Two-dimensional rigid body dynamics models, forward/inverse dynamics solutions, hypotheses to describe whole body/joint kinetics. Lectures, lab, discussion. prereq: 5135 or equiv or instr consent
RSC 8135 - Advanced Kinesiology
Credits: 3.0 [max 3.0]
Course Equivalencies: 02431 - RSc 5135/RSc 8135
Grading Basis: A-F or Aud
Typically offered: Fall Odd Year
How to describe/measure movement. Basic/applied biomechanics, pathokinesiology, and rehabilitation literature. Lecture, lab, seminar discussion. Meets in conjunction with RSC 5135. prereq: [Rehabilitation science student or program permission], instr consent
RSC 8235 - Human Kinetics
Credits: 3.0 [max 3.0]
Course Equivalencies: 02438
Grading Basis: A-F or Aud
Typically offered: Spring Even Year
Forces that create human motion or are produced within body as a result of motion. Measuring kinetics of motion. Clinical movement assessment. Measuring/analyzing exercise, sport, and activities for transfer of forces within body. Two-dimensional rigid body dynamics. Forward/inverse dynamics. Hypotheses for whole body/joint kinetics. Lectures, lab experiments, discussion. Meets with RSC 5235. prereq: [5135 or equiv] or instr consent
STAT 5021 - Statistical Analysis
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Intensive introduction to statistical methods for graduate students needing statistics as a research technique. prereq: Credit will not be granted if credit has been received for: : 3011; College algebra or instr consent; Stat course recommended
STAT 5101 - Theory of Statistics I
Credits: 4.0 [max 4.0]
Course Equivalencies: 00259 - Math 5651/Stat 5101
Typically offered: Every Fall
Logical development of probability, basic issues in statistics. Probability spaces. Random variables, their distributions and expected values. Law of large numbers, central limit theorem, generating functions, multivariate normal distribution. prereq: [Math 2263 or Math 2374 or Math 2573H], [CSCI 2033 or Math 2373 or Math 2243]
STAT 5102 - Theory of Statistics II
Credits: 4.0 [max 4.0]
Course Equivalencies: Stat 4102/5102
Typically offered: Every Spring
Sampling, sufficiency, estimation, test of hypotheses, size/power. Categorical data. Contingency tables. Linear models. Decision theory. prereq: 5101 or Math 5651
STAT 5302 - Applied Regression Analysis
Credits: 4.0 [max 4.0]
Typically offered: Every Fall, Spring & Summer
Simple, multiple, and polynomial regression. Estimation, testing, prediction. Use of graphics in regression. Stepwise and other numerical methods. Weighted least squares, nonlinear models, response surfaces. Experimental research/applications. prereq: 3022 or 4102 or 5021 or 5102 or instr consent
STAT 5303 - Designing Experiments
Credits: 4.0 [max 4.0]
Typically offered: Every Fall, Spring & Summer
Analysis of variance. Multiple comparisons. Variance-stabilizing transformations. Contrasts. Construction/analysis of complete/incomplete block designs. Fractional factorial designs. Confounding split plots. Response surface design. prereq: 3022 or 4102 or 5021 or 5102 or instr consent
BMEN 8402 - New Product Design and Business Development
Credits: 4.0 [max 4.0]
Course Equivalencies: BMEn 8402/Entr 6087/ME 8222
Prerequisites: 8401
Grading Basis: A-F or Aud
Typically offered: Every Spring
Student teams work with CSE and CSOM faculty and company representatives to develop a product concept for sponsoring company. Assignments include concept/detail design, manufacturing, marketing, introduction strategy, profit forecasting, production of product prototype. prereq: 8401
BTHX 5100 - Introduction to Clinical Ethics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Most frequent ethical problems faced by clinicians, patients/families, and ethics consultants. Forgoing life sustaining treatment, decisional capacity, informed consent, treatment refusals, death/dying, pediatric ethics, reproductive issues, research ethics, psychiatric illness. Real cases. prereq: Jr or sr or grad student or instr consent
BTHX 5120 - Dying in Contemporary Medical Culture
Credits: 2.0 [max 2.0]
Typically offered: Every Fall
Examines practices of dying and death in contemporary U.S. culture, moral problems associated with these practices, possible solutions, and practical applications. Readings will consist of cultural critiques, bioethics literature, and empirical research.
BTHX 5210 - Ethics of Human Subjects Research
Credits: 3.0 [max 3.0]
Typically offered: Fall Even Year
Issues in ethics of human subjects research. prereq: Grad student or instr consent
BTHX 5300 - Foundations of Bioethics
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Overview of major contemporary frameworks used to approach ethical issues in bioethics. prereq: Grad student or instr consent
BTHX 8120 - Dying in Contemporary Medical Culture
Credits: 2.0 [max 2.0]
Typically offered: Every Fall
Examines practices of dying and death in contemporary U.S. culture, moral problems associated with these practices, possible solutions, and practical applications. Readings will consist of cultural critiques, bioethics literature, and empirical research.
MILI 5589 - Medical Technology Evaluation and Market Research
Credits: 2.0 [max 2.0]
Grading Basis: A-F only
Typically offered: Every Spring
Hands-on experience in creating a value proposition for new medical technologies. Leadership pathways in medical technology, insurance, and delivery industries. Personal input from industry leaders: United Health Group, Medtronic, and Mayo Clinic.
MOT 5001 - Technological Business Fundamentals
Credits: 2.0 [max 2.0]
Grading Basis: A-F only
Typically offered: Every Fall
Basics of operations, strategy, decision-making in technology-driven business. Market opportunity assessment, finance/financial decision-making, organizational roles. Work in teams to analyze aspects of business opportunity. prereq: Degree seeking or non-degree graduate students
MOT 5002 - Creating Technological Innovation
Credits: 2.0 [max 2.0]
Prerequisites: Degree seeking or non-degree graduate students.
Grading Basis: A-F only
Typically offered: Every Spring
Course provides students with techniques to create new ideas, and lead an organization to bring them successfully to market. It will include examples of the dynamics of technological industries, and technology strategies. Topics include effective practices to generate ideas, processes to move them to market, and intellectual property. Students will work in teams to develop a strategy to commercialize a new technology. prereq: Degree seeking or non-degree graduate students.
MOT 5003 - Technological Business Planning Workshop
Credits: 1.0 [max 2.0]
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Applies lessons of 5001 or 5002 directly to technology of the student's choosing, possibly thesis topic. Aspects of strategic technology plan or business plan, culminating in presentation of plan. Must be taken in parallel with 5001 or 5002. prereq: Degree seeking or non-degree graduate students. Student must also enroll for MOT 5001 or MOT 5002.
PDES 5701 - Creativity, Idea Generation, and Innovation
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall
Introduction to a variety of creativity and idea generation tools with an emphasis on innovative product concept development. Students apply different toolsets to an ongoing project. Starting with a general theme, students explore problems and concepts, practice using a variety of idea generation tools, and learn methods of evaluating/selecting concepts. Customer needs, benchmarking, and intellectual property.
PDES 5702 - Concept Sketching and Rendering
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall
Sketching and marker rendering for communication of conceptual product design. Free-hand 2-point perspective. Weekly drawing assignments/presentations. Students keep a sketchbook to develop ideas/drawings.
PDES 5704 - Computer-Aided Design Methods
Credits: 3.0 [max 3.0]
Course Equivalencies: 02062
Grading Basis: A-F only
Typically offered: Every Spring
Overview of how to make well-modeled, properly illuminated, and carefully composed digital models of existing/conceptual objects. prereq: Senior or grad student
PHAR 5200 - Drugs and the U.S. Health Care System
Credits: 3.0 [max 3.0]
Course Equivalencies: 01248 - Phar 4200/Phar 5200
Typically offered: Every Fall & Spring
Being an empowered patient is important when discussing ethics-driven issues within the U.S. healthcare system. This course will expose students to current controversial issues surrounding medications and national healthcare and help students examine their own role as a participant in this system. Students will learn to draw comparisons between medication use systems around the world and analyze other controversies related to access, choice, and quality of healthcare. During this course, students will understand how their choices, ethics, and behavior affect societal decisions surrounding the availability of medications in the U.S. and what their rights are as a citizen-participant during the healthcare debate. This is a completely online course with weekly due dates. Course information is sent to the U of M email addresses of registered students by the first day of classes each fall and spring term. For more information, contact phar4200@umn.edu or 612-624-7976. Credit will not be granted if credit has been received for PHAR 4200, PHAR 4200W, PHAR 6200.
PHYS 5401 - Physiological Physics
Credits: 4.0 [max 4.0]
Typically offered: Fall Even Year
Musculoskeletal system, circulatory system/membrane transport, biological control systems, propagation/action potential in nervous system, biomagnetism, electromagnetism at cellular level. prereq: One semester of introductory calculus-based physics, such as PHYS1301W. Students not sure if they meet prerequisites should consult instructor.
PUBH 6161 - Regulatory Toxicology
Credits: 2.0 [max 2.0]
Typically offered: Every Spring
In-depth introduction to laws (and associated regulations) of U.S. federal regulatory agencies, such as CPSC, EPA, FDA, OSHA, and DOT, that require/use toxicological data/information in their mission of protecting human/environmental health. prereq: Background in toxicology or pharmacology or related field is recommended
PUBH 6414 - Biostatistical Literacy
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall, Spring & Summer
Develop ability to read/interpret statistical results in primary literature. Minimal calculation. No formal training in any statistical programming software. Biostatistical Literacy will cover the fundamental concepts of study design, descriptive statistics, hypothesis testing, confidence intervals, odds ratios, relative risks, adjusted models in multiple linear, logistic and Poisson regression, and survival analysis. The focus will be when to use a given method and how to interpret the results, not the actual computation or computer programming to obtain results from raw data. prereq: MPH or certificate student or environmental health or instr consent
PUBH 7415 - Introduction to Clinical Trials
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Summer
Hypotheses/endpoints, choice of intervention/control, ethical considerations, blinding/randomization, data collection/monitoring, sample size, analysis, writing. Protocol development, group discussions. prereq: 6414 or 6450 or one semester graduate-level introductory biostatistics or statistics or instr consent
RSC 5106 - Rehab Science: Past, Present, and Future
Credits: 1.0 [max 1.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
This is one of a series of seminar courses that prepares students to think critically in reading and discussing the literature in rehabilitation science and to speak and write persuasively on scientific topics. This semester, the seminar will focus on the past, present, and future of rehabilitation science. This course will include lecture presentations from rehabilitation science faculty for the first 50 minutes of the weekly class time, as well as discussion/interaction sessions planned jointly by assigned students and faculty for the second 50 minute session each week.
AEM 5451 - Optimal Estimation
Credits: 3.0 [max 3.0]
Course Equivalencies: 01703
Typically offered: Fall Even Year
Basic probability theory. Batch/recursive least squares estimation. Filtering of linear/non-linear systems using Kalman and extended Kalman filters. Applications to sensor fusion, fault detection, and system identification. prereq: [[MATH 2243 or STAT 3021 or equiv], [4321 or EE 4231 or ME 5281 or equiv]] or instr consent
AEM 5501 - Continuum Mechanics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Concepts common to all continuous media; elements of tensor analysis; motion, deformation, vorticity; material derivatives; mass, continuity equation; balance of linear, angular momentum; geometric characterization of stress; constitutive equations. prereq: CSE upper div or grad, 3031, Math 2243 or equiv or instr consent
AEM 5503 - Theory of Elasticity
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to the theory of elasticity, with emphasis on linear elasticity. Linear and nonlinear strain measures, boundary-value problem for linear elasticity, plane problems in linear elasticity, three dimensional problems in linear elasticity. Topics from nonlinear elasticity, micromechanics, contact problems, fracture mechanics. prereq: 4501 or equiv, Math 2263 or equiv or instr consent
AEM 8511 - Advanced Topics in Continuum Mechanics
Credits: 3.0 [max 6.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Constitutive equations; invariance and thermodynamic restrictions. Nonlinear elasticity theory; exact solutions, minimization, stability. Non-Newtonian fluids; viscometric flows, viscometric functions, normal stress. Other topics may include reactive and/or nonreactive mixtures, nonlinear plasticity, and deformable electromagnetic continua. prereq: 5501 or instr consent
BMEN 5111 - Biomedical Ultrasound
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Introduction to biomedical ultrasound, including physics of ultrasound, transducer technology, medical ultrasound imaging, photoacoustic imaging, applications of non-linear acoustics, and high-intensity ultrasound. prereq: [[PHYS 1302 or equiv], [MATH 2374 or equiv]] or instr consent
BMEN 5311 - Advanced Biomedical Transport Processes
Credits: 3.0 [max 3.0]
Course Equivalencies: 00490 - BMEn 5311/ChEn 5753/ME 5381
Typically offered: Every Spring
Fluid flow and mass transfer in the body, bioreactors, and medical devices. Pulsatile flows. Flows around curved and deformable vessels. Boundary layer flows. Blood rheology. Interstitial (porous media) flows. Oxygenation. Cell migration. Student critiques of published papers.
BMEN 8101 - Biomedical Digital Signal Processing
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Signal processing theory for analyzing real world digital signals. Digital signal processing and mathematically derived algorithms for analysis of stochastic signals. Spectral analyses, noise cancellation, optimal filtering, blind source separation, beamforming techniques. prereq: [[MATH 2243 or MATH 2373], [MATH 2263 or MATH 2374]] or equiv
BMEN 8201 - Advanced Tissue Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Tissues exist in dynamic mechanical environments where they must maintain a fine balance between applied loads and internal tension. Active adaptability of biological materials can significantly complicate measurement of their mechanical behavior. This course will cover fundamental continuum approaches for determining the complex stress states of actively responsive tissues as well as the force-feedback relationships that drive early development and allow mature tissues to maintain mechanical equilibrium. Topics will include theoretical approaches for active force generation, soft tissue finite growth, extracellular matrix remodeling, and constrained mixtures. These methods are applicable to a wide range of biomechanical systems. In this course, they will be applied to mechanics of two model systems: arterial growth and remodeling in hypertension and sheet folding in early organogenesis and morphogenesis. prereq: 3011 or AEM 2021 or equiv
BMEN 8381 - Bioheat and Mass Transfer
Credits: 3.0 [max 3.0]
Course Equivalencies: 01882
Typically offered: Periodic Spring
Analytical/numerical tools to analyze heat/mass transfer phenomenon in cryobiological, hyperthermic, other biomedically relevant applications. prereq: CSE grad student, upper div transport/fluids course; [physics, biology] recommended
BMEN 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models
Credits: 4.0 [max 4.0]
Course Equivalencies: 01261 - BMEn 8431/PHM 8431
Grading Basis: A-F or Aud
Typically offered: Every Spring
Physical, chemical, physiological, mathematical principles underlying design of delivery systems for drugs. Small molecules, proteins, genes. Temporal controlled release. prereq: Differential equations course including partial differential equations or instr consent
BMEN 8501 - Dynamical Systems in Biology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Nonlinear dynamics with specific emphasis on behavior of excitable systems (neurons/cardiac myocytes). prereq: Grad student in engineering or physics or math or physiology or neuroscience
BMEN 8502 - Physiological Control Systems
Credits: 3.0 [max 3.0]
Prerequisites: 8101 or equiv
Grading Basis: A-F only
Typically offered: Every Spring
Simulation, identification, and optimization of physiological control systems. Linear and non-linear systems analysis, stability analysis, system identification, and control design strategies, including constrained, adaptive, and intelligent control. Analysis and control of physiological system dynamics in normal and diseased states. prereq: 8101 or equiv
CHEN 8101 - Fluid Mechanics I: Change, Deformation, Equations of Flow
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Equations of change of mass, momentum, angular momentum. Kinematics of deformation, convective transport. Applications to fluid statics/dynamics of Newtonian fluids. Examples of exact solutions of Navier-Stokes equations, useful simplifications. prereq: Chemical engineering grad student or instr consent
CHEN 8201 - Applied Mathematics I: Linear Analysis
Credits: 3.0 [max 3.0]
Course Equivalencies: ChEn 4701/8201
Grading Basis: A-F or Aud
Typically offered: Every Fall
Integrated approach to solving linear mathematical problems. Linear algebraic equations. Linear ordinary and partial differential equations using theoretical/numerical analysis based on linear operator theory. prereq: Chemical engineering grad student or instr consent
CHEN 8402 - Statistical Thermodynamics and Kinetics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to statistical mechanical description of equilibrium and non-equilibrium properties of matter. Emphasizes fluids, classical statistical mechanics. prereq: Chemical engineering grad student or instr consent
CHEN 8754 - Systems Analysis of Biological Processes
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Relating biological processes at molecular level to physiological level of cells/organisms/populations. Methodology for analyzing data. Quantification of molecular interplays. prereq: Grad student in [life sciences or chemical/physical sciences or engineering]; ChEn students must take A/F
EE 5251 - Optimal Filtering and Estimation
Credits: 3.0 [max 3.0]
Course Equivalencies: 01703 - AEM 5451/EE 5251
Typically offered: Every Fall
Basic probability theory, stochastic processes. Gauss-Markov model. Batch/recursive least squares estimation. Filtering of linear/nonlinear systems. Continuous-time Kalman-Bucy filter. Unscented Kalman filter, particle filters. Applications. prereq: [[[MATH 2243, STAT 3021] or equiv], CSE grad student] or dept consent; 3025, 4231 recommended
EE 5531 - Probability and Stochastic Processes
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Probability, random variables and random processes. System response to random inputs. Gaussian, Markov and other processes for modeling and engineering applications. Correlation and spectral analysis. Estimation principles. Examples from digital communications and computer networks. prereq: [3025, CSE grad student] or dept consent
EE 5621 - Physical Optics
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Physical optics principles, including Fourier analysis of optical systems/images, scalar diffraction theory, interferometry, and coherence theory. Diffractive optical elements, holography, astronomical imaging, optical information processing, microoptics. prereq: [3015, CSE grad student] or dept consent
IE 5522 - Quality Engineering and Reliability
Credits: 4.0 [max 4.0]
Course Equivalencies: 01914 - IE 3522/IE 5522
Typically offered: Periodic Fall & Spring
Quality engineering/management, economics of quality, statistical process control design of experiments, reliability, maintainability, availability. prereq: [4521 or equiv], [upper div or grad student or CNR]
MATH 5248 - Cryptology and Number Theory
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Classical cryptosystems. One-time pads, perfect secrecy. Public key ciphers: RSA, discrete log. Euclidean algorithm, finite fields, quadratic reciprocity. Message digest, hash functions. Protocols: key exchange, secret sharing, zero-knowledge proofs. Probablistic algorithms: pseudoprimes, prime factorization. Pseudo-random numbers. Elliptic curves. prereq: 2 sems soph math
MATH 5445 - Mathematical Analysis of Biological Networks
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Development/analysis of models for complex biological networks. Examples taken from signal transduction networks, metabolic networks, gene control networks, and ecological networks. prereq: Linear algebra, differential equations
MATH 5447 - Theoretical Neuroscience
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Nonlinear dynamical system models of neurons and neuronal networks. Computation by excitatory/inhibitory networks. Neural oscillations, adaptation, bursting, synchrony. Memory systems. prereq: 2243 or 2373 or 2574
MATH 5587 - Elementary Partial Differential Equations I
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Emphasizes partial differential equations w/physical applications, including heat, wave, Laplace's equations. Interpretations of boundary conditions. Characteristics, Fourier series, transforms, Green's functions, images, computational methods. Applications include wave propagation, diffusions, electrostatics, shocks. prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]
MATH 5651 - Basic Theory of Probability and Statistics
Credits: 4.0 [max 4.0]
Course Equivalencies: 00259 - MATH 4653/Math 5651/Stat 5101
Typically offered: Every Fall & Spring
Logical development of probability, basic issues in statistics. Probability spaces, random variables, their distributions/expected values. Law of large numbers, central limit theorem, generating functions, sampling, sufficiency, estimation. prereq: [2263 or 2374 or 2573], [2243 or 2373]; [2283 or 2574 or 3283] recommended.
MATH 5652 - Introduction to Stochastic Processes
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Random walks, Markov chains, branching processes, martingales, queuing theory, Brownian motion. prereq: 5651 or Stat 5101
MATH 8202 - General Algebra
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Classical field theory through Galois theory, including solvable equations. Symmetric, Hermitian, orthogonal, and unitary form. Tensor and exterior algebras. Basic Wedderburn theory of rings; basic representation theory of groups. prereq: 8201 or instr consent
MATH 8253 - Algebraic Geometry
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Curves, surfaces, projective space, affine and projective varieties. Rational maps. Blowing-up points. Zariski topology. Irreducible varieties, divisors. prereq: 8202 or instr consent
ME 5228 - Introduction to Finite Element Modeling, Analysis, and Design
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Finite elements as principal analysis tool in computer-aided design (CAD); theoretical issues and implementation aspects for modeling and analyzing engineering problems encompassing stress analysis, heat transfer, and flow problems for linear situations. One-, two-, and three-dimensional practical engineering applications. prereq: CSE upper div or grad, 3221, AEM 3031, CSci 1113, MatS 2001
ME 5351 - Computational Heat Transfer
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Numerical solution of heat conduction/analogous physical processes. Develop/use computer program to solve complex problems involving steady/unsteady heat conduction, flow/heat transfer in ducts, flow in porous media. prereq: 3333, CSE upper div or grad student
ME 8341 - Conduction
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Advanced understanding/application of conduction/diffusion to heat/mass transfer problems. Solving ordinary/partial differential equations related to physics of diffusion. Special topics in numerical microscale heat transfer. prereq: Undergrad class in heat transfer or instr consent
ME 8345 - Computational Heat Transfer and Fluid Flow
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Finite volume method for solution of governing equations for heat transfer and fluid flow. Mathematical models of turbulence. Construction of general computer program. Practical applications. prereq: CSE grad student
PHM 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models
Credits: 4.0 [max 4.0]
Course Equivalencies: 01261 - BMEn 8431/PHM 8431
Grading Basis: A-F or Aud
Typically offered: Every Spring
Physical, chemical, physiological, cell biological, mathematical principles underlying design of delivery systems for drugs. Small molecules, proteins, genes. prereq: Differential equations course including introduction to partial differential equations or instr consent
PUBH 6450 - Biostatistics I
Credits: 4.0 [max 4.0]
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Descriptive statistics. Gaussian probability models, point/interval estimation for means/proportions. Hypothesis testing, including t, chi-square, and nonparametric tests. Simple regression/correlation. ANOVA. Health science applications using output from statistical packages. prereq: [College-level algebra, health sciences grad student] or instr consent
PUBH 6451 - Biostatistics II
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Two-way ANOVA, interactions, repeated measures, general linear models. Logistic regression for cohort and case-control studies. Loglinear models, contingency tables, Poisson regression, survival data, Kaplan-Meier methods, proportional hazards models. prereq: [PubH 6450 with grade of at least B, health sciences grad student] or instr consent
PUBH 7440 - Introduction to Bayesian Analysis
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Introduction to Bayesian methods. Comparison with traditional frequentist methods. Emphasizes data analysis via modern computing methods: Gibbs sampler, WinBUGS software package. prereq: [[7401 or STAT 5101 or equiv], [public health MPH or biostatistics or statistics] grad student] or instr consent
STAT 5021 - Statistical Analysis
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Intensive introduction to statistical methods for graduate students needing statistics as a research technique. prereq: Credit will not be granted if credit has been received for: : 3011; College algebra or instr consent; Stat course recommended
STAT 5101 - Theory of Statistics I
Credits: 4.0 [max 4.0]
Course Equivalencies: 00259 - Math 5651/Stat 5101
Typically offered: Every Fall
Logical development of probability, basic issues in statistics. Probability spaces. Random variables, their distributions and expected values. Law of large numbers, central limit theorem, generating functions, multivariate normal distribution. prereq: [Math 2263 or Math 2374 or Math 2573H], [CSCI 2033 or Math 2373 or Math 2243]
STAT 5102 - Theory of Statistics II
Credits: 4.0 [max 4.0]
Course Equivalencies: Stat 4102/5102
Typically offered: Every Spring
Sampling, sufficiency, estimation, test of hypotheses, size/power. Categorical data. Contingency tables. Linear models. Decision theory. prereq: 5101 or Math 5651
STAT 5302 - Applied Regression Analysis
Credits: 4.0 [max 4.0]
Typically offered: Every Fall, Spring & Summer
Simple, multiple, and polynomial regression. Estimation, testing, prediction. Use of graphics in regression. Stepwise and other numerical methods. Weighted least squares, nonlinear models, response surfaces. Experimental research/applications. prereq: 3022 or 4102 or 5021 or 5102 or instr consent
STAT 5303 - Designing Experiments
Credits: 4.0 [max 4.0]
Typically offered: Every Fall, Spring & Summer
Analysis of variance. Multiple comparisons. Variance-stabilizing transformations. Contrasts. Construction/analysis of complete/incomplete block designs. Fractional factorial designs. Confounding split plots. Response surface design. prereq: 3022 or 4102 or 5021 or 5102 or instr consent
BMEN 8888 - Thesis Credit: Doctoral
Credits: 1.0 -24.0 [max 100.0]
Grading Basis: No Grade
Typically offered: Every Fall, Spring & Summer
Thesis credit: doctoral. prereq: PhD student in biomedical engineering; max 14 cr per semester or summer; 24 cr required