BMEN E1001 Engineering in medicine. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

The present and historical role of engineering in medicine and health care delivery. Engineering approaches to understanding organismic and cellular function in living systems. Engineering in the diagnosis and treatment of disease. Medical imaging, medical devices: diagnostic and surgical instruments, drug delivery systems, prostheses, artificial organs. Medical informatics and organization of the health care system. Current trends in biomedical engineering research.

BMEN E3010 Biomedical Engineering I. 3 points.

Lect: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006) or with instructor's permission
Corequisites: BMEN E3810,BMEN E4001

Various concepts within the field of biomedical engineering, foundational knowledge of engineering methodology applied to biological and/or medical problems through modules in biomechanics, biomaterials, and cell & tissue engineering.

Fall 2017: BMEN E3010
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3010 001/73952 M W 10:10am - 11:25am
413 Kent Hall
Helen Lu 3 53/65

BMEN E3020 Biomedical Engineering II. 3 points.

Lect: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006) or with instructor's permission.
Corequisites: BMEN E3820,BMEN E4002

Various concepts within the field of biomedical engineering, foundational knowledge of engineering methodology applied to biological and/or medical problems through modules in biomechanics, bioinstrumentation, and biomedical Imaging.

Spring 2018: BMEN E3020
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3020 001/15640 M W 10:10am - 11:25am
627 Seeley W. Mudd Building
Clark Hung 3 49/50

BMEN E3810 Biomedical engineering laboratory, I. 3 points.

Lab: 4.

Fundamental considerations of wave mechanics; design philosophies; reliability and risk concepts; basics of fluid mechanics; design of structures subjected to blast; elements of seismic design; elements of fire design; flood considerations; advanced analysis in support of structural design.

Fall 2017: BMEN E3810
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3810 001/61533 W 1:10pm - 3:55pm
382 Engineering Terrace
Aaron Kyle 3 25/26
BMEN 3810 002/23171 Th 1:10pm - 3:55pm
382 Engineering Terrace
Aaron Kyle 3 25/26

BMEN E3820 Biomedical engineering laboratory, II. 3 points.

Lab: 4.

Biomedical experimental design and hypothesis testing. Statistical analysis of experimental measurements. Analysis of experimental measurements. Analysis of variance, post hoc testing. Fluid shear and cell adhesion, neuro-electrophysiology, soft tissue biomechanics, biomedical imaging and ultrasound, characterization of excitable tissues, microfluidics.

Spring 2018: BMEN E3820
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3820 001/75942 W 1:10pm - 3:40pm
Room TBA
Aaron Kyle 3 12/26
BMEN 3820 002/66886 Th 1:10pm - 3:40pm
Room TBA
Aaron Kyle 3 25/26

BMEN E3910 Biomedical engineering design, I. 4 points.

Lect: 1. Lab: 3.

A two-semester design sequence to be taken in the senior year. Elements of the design process, with specific applications to biomedical engineering: concept formulation, systems synthesis, design analysis, optimization, biocompatibility, impact on patient health and comfort, health care costs, regulatory issues, and medical ethics. Selection and execution of a project involving the design of an actual engineering device or system. Introduction to entrepreneurship, biomedical start-ups, and venture capital. Semester I: statistical analysis of detection/classification systems (receiver operation characteristic analysis, logistic regression), development of design prototype, need, approach, benefits and competition analysis. Semester II: spiral develop process and testing, iteration and refinement of the initial design/prototype and business plan development. A lab fee of $100 each is collected.

Fall 2017: BMEN E3910
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3910 001/76151 T Th 10:10am - 11:25am
750 Schapiro Cepser
Aaron Kyle 4 43/55

BMEN E3920 Biomedical engineering design, II. 4 points.

Lect: 1. Lab: 3.

A two-semester design sequence to be taken in the senior year. Elements of the design process, with specific applications to biomedical engineering: concept formulation, systems synthesis, design analysis, optimization, biocompatibility, impact on patient health and comfort, health care costs, regulatory issues, and medical ethics. Selection and execution of a project involving the design of an actual engineering device or system. Introduction to entrepreneurship, biomedical start-ups, and venture capital. Semester I: statistical analysis of detection/classification systems (receiver operation characteristic analysis, logistic regression), development of design prototype, need, approach, benefits and competition analysis. Semester II: spiral develop process and testing, iteration and refinement of the initial design/prototype and business plan development. A lab fee of $100 each is collected.

Spring 2018: BMEN E3920
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3920 001/18181 T Th 10:10am - 11:25am
633 Seeley W. Mudd Building
Aaron Kyle 4 38/65

BMEN E3998 Projects in biomedical engineering. 1-3 points.

Hours to be arranged.

Independent projects involving experimental, theoretical, computational, or engineering design work. May be repeated, but no more than 3 points of this or any other projects or research course may be counted toward the technical elective degree requirements as engineering technical electives.

Fall 2017: BMEN E3998
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3998 001/11953  
Gerard Ateshian 1-3 0
BMEN 3998 002/70557  
Tal Danino 1-3 1
BMEN 3998 003/77576  
X. Edward Guo 1-3 1/18
BMEN 3998 004/77001  
Henry Hess 1-3 0/18
BMEN 3998 005/65389  
Andreas Hielscher 1-3 0/18
BMEN 3998 006/19986  
Elizabeth Hillman 1-3 0/18
BMEN 3998 007/25361  
Clark Hung 1-3 1
BMEN 3998 008/20345  
Christopher Jacobs 1-3 0
BMEN 3998 009/70329  
Joshua Jacobs 1-3 0
BMEN 3998 010/60798  
Lance Kam 1-3 3
BMEN 3998 011/67252  
Elisa Konofagou 1-3 3
BMEN 3998 012/62087  
Aaron Kyle 1-3 0
BMEN 3998 013/28150  
Andrew Laine 1-3 1
BMEN 3998 014/22384  
Edward Leonard 1-3 0
BMEN 3998 015/20820  
Kam Leong 1-3 2
BMEN 3998 016/71992  
Helen Lu 1-3 2
BMEN 3998 017/26272  
Barclay Morrison 1-3 0
BMEN 3998 018/19317  
Van Mow 1-3 0
BMEN 3998 019/11453  
Elizabeth Olson 1-3 0
BMEN 3998 020/27228  
Katherine Reuther 1-3 1
BMEN 3998 021/74244  
Paul Sajda 1-3 1
BMEN 3998 022/65956  
Michael Sheetz 1-3 0
BMEN 3998 023/64848  
Kenneth Shepard 1-3 0
BMEN 3998 024/67002  
Samuel Sia 1-3 1
BMEN 3998 025/62030  
Christoph Juchem 1-3 1
BMEN 3998 027/14025  
Gordana Vunjak-Novakovic 1-3 5
BMEN 3998 028/29521  
Qi Wang 1-3 0
Spring 2018: BMEN E3998
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3998 001/11922  
Gerard Ateshian 1-3 1
BMEN 3998 002/25288  
Tal Danino 1-3 0
BMEN 3998 003/18792  
X. Edward Guo 1-3 0
BMEN 3998 004/70734  
Henry Hess 1-3 0
BMEN 3998 005/20472  
Andreas Hielscher 1-3 0
BMEN 3998 006/22920  
Elizabeth Hillman 1-3 0
BMEN 3998 007/71377  
Shunichi Homma 1-3 0
BMEN 3998 008/20901  
Clark Hung 1-3 0
BMEN 3998 009/63904  
Christopher Jacobs 1-3 0
BMEN 3998 010/66057  
Joshua Jacobs 1-3 0
BMEN 3998 011/67102  
Christoph Juchem 1-3 1
BMEN 3998 012/70899  
Lance Kam 1-3 1
BMEN 3998 013/16461  
Elisa Konofagou 1-3 1
BMEN 3998 014/25623  
Aaron Kyle 1-3 0
BMEN 3998 015/62028  
Andrew Laine 1-3 0
BMEN 3998 016/11122  
Edward Leonard 1-3 0
BMEN 3998 017/69044  
Kam Leong 1-3 1
BMEN 3998 018/10941  
Helen Lu 1-3 1
BMEN 3998 019/28435  
Barclay Morrison 1-3 0
BMEN 3998 020/14788  
Van Mow 1-3 0
BMEN 3998 021/63393  
Elizabeth Olson 1-3 0
BMEN 3998 022/65921  
Katherine Reuther 1-3 0
BMEN 3998 023/67908  
Paul Sajda 1-3 0
BMEN 3998 024/61345  
Michael Sheetz 1-3 0
BMEN 3998 025/63889  
Kenneth Shepard 1-3 0
BMEN 3998 026/14369  
Samuel Sia 1-3 1
BMEN 3998 027/18357  
Milan Stojanovic 1-3 0
BMEN 3998 028/18541  
Stavros Thomopoulos 1-3 0
BMEN 3998 029/11994  
John Vaughan 1-3 0
BMEN 3998 030/11902  
Gordana Vunjak-Novakovic 1-3 1
BMEN 3998 031/63411  
Qi Wang 1-3 0

BMEN E3999 Undergraduate Fieldwork. 1 point.

Prerequisites: Obtained internship and approval from faculty advisor. BMEN undergraduate students only.

May be repeated for credit, but no more than 3 total points may be used toward the 128-credit degree requirement. Only for BMEN undergraduate students who include relevant off-campus work experience as part of their approved program of study. Final report and letter of evaluation required. Fieldwork credits may not count toward any major core, technical, elective, and non-technical requirements. May not be taken for pass/fail credit or audited.

Summer 2017: BMEN E3999
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3999 001/93746  
Clark Hung, Lance Kam 1 3
Spring 2018: BMEN E3999
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 3999 001/96447  
1 0

BMEN E4000 Special Topics. 3 points.

Lect: 3.

Additional current topics in biomedica engineering taught by regular or visiting faculty. The same subject matter is not usually considered in different years.  

Fall 2017: BMEN E4000
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4000 001/70914 M W 10:10am - 11:25am
703 Hamilton Hall
Kam Leong 3 29/60
Spring 2018: BMEN E4000
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4000 002/15718 M 1:10pm - 3:40pm
227 Seeley W. Mudd Building
Joshua Jacobs 3 30/30

BMEN E4001 Quantitative Physiology, I: Cells and Molecules. 3 points.

Lect: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006)
Corequisites: BMEN E3010,BMEN E3810

Physiological systems at the cellular and molecular level are examined in a highly quantitative context. Topics include chemical kinetics, molecular binding and enzymatic processes, molecular motors, biological membranes, and muscles.

Fall 2017: BMEN E4001
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4001 001/13003 M W 8:40am - 9:55am
1127 Seeley W. Mudd Building
Lance Kam 3 76/90

BMEN E4002 Quantitative Physiology, II: Organ Systems. 3 points.

Lect: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006)
Corequisites: BMEN E3020,BMEN E3820

Students are introduced to a quantitative, engineering approach to cellular biology and mammalian physiology. Beginning with biological issues related to the cell, the course progresses to considerations of the major physiological systems of the human body (nervous, circulatory, respiratory, renal).

Spring 2018: BMEN E4002
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4002 001/60199 M W 8:40am - 9:55am
1127 Seeley W. Mudd Building
Barclay Morrison 3 62/80

BMEN E4010 Ethics for biomedical engineers. 2 points.

Lect: 2.

Prerequisites: Senior status in biomedical engineering or the instructor's permission.

Covers a wide range of ethicical issues expected to confront graduates as they enter the biotechnology industry, research, or medical careers. Topics vary and incorporate guest speakers from Physicians and Surgeons, Columbia Law School, Columbia College, and local industry.

Spring 2018: BMEN E4010
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4010 001/70768 W 2:40pm - 3:55pm
825 Seeley W. Mudd Building
John Loike 2 7/30

BMEN E4050 Electrophysiology of Human Memory and Navigation. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: Instructor's permission.

Human memory, including working, episodic and procedural memory. Electrophysiology of cognition, noninvasive and invasive recordings. Neural basis of spatial navigation, with links to spatial and episodic memory. Computational models of memory, brain stimulation, lesion studies.

BMEN E4103 Anatomy of the thorax and abdomen. 2 points.

Lect: 2.

Prerequisites: Graduate standing in Biomedical Engineering.

This course is designed for the Biomedical Engineering graduate student interested in acquiring in-depth knowledge of anatomy relevant to his/her doctoral research. Lectures and tutorial sessions may be taken with or without the associated laboratory (BMEN E4104). 

BMEN E4104 Anatomy laboratory: thorax and abdomen.. 2 points.

Lect: 2.

Prerequisites: Graduate standing in Biomedical Engineering.
Corequisites: BMEN E4103

BMEN E4105 Anatomy of the extremities. 2 points.

Lect: 2.

Prerequisites: Graduate standing in Biomedical Engineering.

This course is designed for the Biomedical Engineering graduate student interested in acquiring in-depth knowledge of anatomy relevant to his/her doctoral research. Lectures and tutorial sessions may be taken with or without the associated laboratory (BMEN E4106).

BMEN E4106 Anatomy laboratory: extremities. 2 points.

Lab: 2.

Prerequisites: graduate standing in Biomedical Engineering.
Corequisites: BMEN E4105

BMEN E4107 Anatomy of the head and neck. 2 points.

Lect: 2.

Prerequisites: graduate standing in Biomedical Engineering.

This course is designed for the Biomedical Engineering graduate student interested in acquiring in-depth knowledge of anatomy relevant to his/her doctoral research. Lectures and tutorial sessions may be taken with or without the associated laboratory (BMEN E4108).

BMEN E4108 Anatomy laboratory: head and neck. 2 points.

Lab: 2.

Prerequisites: Graduate standing in Biomedical Engineering.
Corequisites: BMEN E4107

BMEN E4110 Biostatistics for Engineers. 4 points.

Lect: 4.

Prerequisites: (MATH UN1202) and (APMA E2101)

Fundamental concepts of probability and statistics applied to biology and medicine. Probability distributions, hypothesis testing and inference, summarizing data and testing for trends. Signal detection theory and the receiver operator characteristic. Lectures accompanied by data analysis assignments using MATLAB and R as well as discussion of bioethics and case studies in biomedicine.

Fall 2017: BMEN E4110
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4110 001/70305 T Th 11:40am - 12:55pm
203 Mathematics Building
Paul Sajda 4 95/104

BMEN E4150 The cell as a machine. 3 points.

Lect: 3.

Prerequisites: (MATH UN1101) or equivalent
Corequisites: BIOL UN2005,BIOC UN3501,PHYS UN1401

Cells as complex micron-sized machines, basic physical aspects of cell components (diffusion, mechanics, electrostatics, hydrophobicity), energy transduction (motors, transporters, chaperones, synthesis complexes), basic cell functions. Biophysical principles, feedback controls for robust cell function, adaptation to environmental perturbations.

Fall 2017: BMEN E4150
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4150 001/16400 T 5:40pm - 8:25pm
353 Engineering Terrace
Lance Kam 3 11/15

BMEN E4210 Thermodynamics of biological systems. 4 points.

Lect: 4.

Prerequisites: (CHEM UN1404) and (MATH UN1202)
Corequisites: BIOL UN2005

Introduction to the thermodynamics of biological systems, with a focus on connection microscopic molecular properties to macroscopic states. Both classical and statistical thermodynamics will be applied to biological systems; phase equilibria, chemical reactions, and colligative properties. Topics in modern biology, macromolecular behavior in solutions and interfaces, protein-ligand binding, and the hydrophobic effect.

BMEN E4301 Structure, mechanics, and adaptation of bone. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Introduction to structure, physiology, and biomechanics of bone. Structure, function, and physiology of skeletal bones; linear elastic properties of cortical and trabecular bone; anisotropy and constitutive models of bone tissue; failure and damage mechanics of bone; bone adaptation and fracture healing; experimental determination of bone properties; and morphological analysis of bone microstructure.

BMEN E4302 Biomechanics of musculoskeletal soft tissues. 3 points.

Lect.: 3.

Prerequisites: (ENME E3113) or equivalent. Restricted to seniors and graduate students.

Biomechanics of orthopaedic soft tissues (cartilage, tendon, ligament, meniscus, etc.). Basic and advanced viscoelasticity applied to the musculoskeletal system. Topics include mechanical properties, applied viscoelasticity theory, and biology of orthopaedic soft tissues.  

BMEN E4305 Cardiac mechanics. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (BMEN E4310) and (BMEN E4320) or equivalents.

Cardiac anatomy, passive myocardial constitutive properties, electrical activation, ventricular pump function, ventricular-vascular coupling, invasive and noninvasive measures of regional and global function, models for predicting ventricular wal stress. Alterations in muscle properites and ventricular function resulting from myocardial infarction, heart failure, and left ventricular assist.

BMEN E4310 Solid Biomechanics. 3 points.

Lect.: 3.

Prerequisites: (ENME E3105) and (ENME E3113) and

Applications of continuum mechanics to the understanding of various biological tissues properties. The structure, function, and mechanical properties of various tissues in biolgical systems, such as blood vessels, muscle, skin, brain tissue, bone, tendon, cartilage, ligaments, etc. are examined. The establishment of basic governing mechanical principles and constitutive relations for each tissue. Experimental determination of various tissue properties. Medical and clinical implications of tissue mechanical behavior.

Spring 2018: BMEN E4310
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4310 001/19574 Th 1:10pm - 3:40pm
C01 80 Claremont
X. Edward Guo 3 16/24

BMEN E4320 Fluid Biomechanics. 3 points.

Lect.: 3.

Prerequisites: (APMA E2101) and (ENME E3105) and (MECE E4100)

The principles of continuum mechanics as applied to biological fluid flows and transport. Continuum formulations of basic conservation laws, Navier-Stokes equations, mechanics of arterial and venous blood flow, blood rheology and non-Newtonian properties, flow and transport in the microcirculation, oxygen diffusion, capillary filtration.

BMEN E4340 Biomechanics of cells. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (BMEN E3320) and (BMEN E4300) or equivalents.

Survey of experiments and theoretical analyses of the mechanical behavior of individual living nonmuscle cells. Emphasis on quantitative analytic description using continuum mechanics and molecular level theory from the standpoint of statistical mechanics and mechanical models. Mechanics of erythrocytes, leukocytes, endothelial cells, and fibroblasts; models of aggregation, adhesion, locomotion, amoeba motility, cell division and morphogenesis; molecular level models of actin, myosin, microtubules, and intermediate filaments and relation to mechanical properties of cells and cytoskeleton. Alternative models of cytoskeletal mechanics, foam theory, tensegrity. Analysis of experimental techniques including micropipette studies, optical and magnetic cytometry, and nanoindentation.

Fall 2017: BMEN E4340
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4340 001/71239 W 4:10pm - 6:40pm
301m Fayerweather
Christopher Jacobs, Henry Hess 3 10/50

BMEN E4410 Ultrasound in diagnostic imaging. 3 points.

Lect: 3.

Prerequisites: (MATH UN1202) or equivalent.

Fourier analysis. Physics of diagnostic ultrasound and principles of ultrasound imaging instrumentation. Propagation of plane waves in lossless medium; ultrasound propagation through biological tissues; single-element and array transducer design; pulse-echo and Doppler ultrasound instrumentation, performance evaluation of ultrasound imaging systems using tissue-mimicking phantoms, ultrasound tissue characterization; ultrasound nonlinearity and bubble activity; harmonic imaging; acoustic output of ultrasound systems; biological effects of ultrasound.

Spring 2018: BMEN E4410
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4410 001/77319 T 4:10pm - 6:40pm
545 Seeley W. Mudd Building
Elisa Konofagou 3 25/24

BMEN E4420 Biomedical signal processing and signal modeling. 3 points.

Lect: 3.

Prerequisites: (ELEN E3801) and (APMA E2101) or (APMA E3101) or instructor's permission.

Fundamental concepts of signal processing in linear systems and stochastic processes. Estimation, detection and filtering methods applied to biomedical signals. Harmonic analysis, auto-regressive model, Wiener and Matched filters, linear discriminants, and independent components. Methods are developed to answer concrete questions on specific data sets in modalities such as ECG, EEG, MEG, Ultrasound. Lectures accompanied by data analysis assignments using MATLAB.

Spring 2018: BMEN E4420
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4420 001/10123 Th 10:10am - 12:40pm
Room TBA
Paul Sajda 3 25/24

BMEN E4430 Principles of magnetic resonance imaging. 3 points.

Lect: 3.

Prerequisites: (PHYS UN1403) and (APMA E2101) or instructors' permission.

Fundamental principles of Magnetic Resonance Imaging (MRI), including the underlying spin physics and mathematics of image formation with an emphasis on the application of MRI to neuroimaging, both anatomical and functional. The course will examine both theory and experimental design techniques.

Spring 2018: BMEN E4430
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4430 001/66417 Th 4:10pm - 6:40pm
201a Philosophy Hall
Christoph Juchem 3 26/24

BMEN E4440 Physiological control systems. 3 points.

Lect: 3.

Prerequisites: (MEBM E4439) and (APMA E2101)

Fundamentals of time and frequency domains analyses and stability. Frequency domain controller design. Cardiovascular and respiratory systems simulation. Endogenous control systems: baroreflex, chemoreflex, thermoregulation, pupillary light reflex. Open and closed loop physiological systems. Exogenous control systems: ventilators, infusion pumps. Nonlinear actuators and delayed feedback systems. Acute disease simulation and clinical decision support in the intensive care unit. MATLAB and Simulink environments utilized.

Spring 2018: BMEN E4440
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4440 001/28457 Th 1:10pm - 3:40pm
825 Seeley W. Mudd Building
Nicolas Chbat 3 10/30

BMEN E4450 Dental and craniofacial tissue engineering. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (MSAE E3103) and (BMEN E4210) and (BMEN E4501) or equivalent.

Principles of dental and craniofacial bioengineering, periodontal tissue engineering: beyond guided tissue regeneration, craniofacial regeneration by stem cells and engineered scaffolds, biomaterials: Engineering approaches in tissue regeneration, bone biology and development: instructive cues for tissue engineers.

BMEN E4501 Biomaterials. 3 points.

Lect: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006) and (BMEN E4001) and (BMEN E4002)

An introduction to the strategies and fundamental bioengineering design criteria in the development of biomaterials and tissue engineered grafts. Material structural-functional relationships, biocompatibility in terms of material and host responses. Through discussions, readings, and a group design project, students acquire an understanding of cell-material interactions and identify the parameters critical in the design and selection of biomaterials for biomedical applications.

BMEN E4510 Tissue Engineering. 3 points.

Lect: 3

Prerequisites: (BIOL UN2005) and (BIOL UN2006) and (BMEN E4001) and (BMEN E4002)

An introduction to the strategies and fundamental bioengineering design criteria behind the development of cell-based tissue substitutes. Topics include biocompatibility, biological grafts, gene therapy-transfer, and bioreactors.

Fall 2017: BMEN E4510
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4510 001/68103 M W 11:40am - 12:55pm
417 Mathematics Building
Clark Hung 3 53/60

BMEN E4520 Synthetic Biology: Principles of Genetic Circuits. 3 points.

Not offered during 2017-18 academic year.

Prerequisites: (BIOL UN2005) and (MATH UN2030) or (APMA E2101)

Basic principles of synthetic biology and a survey of the field. Fundamentals of biological circuits, including circuit design, modern techniques for DNA assembly, quantitative characterization of genetic circuits, and ODE modeling of biological circuits with MATLAB. Intended for advanced undergraduate and graduate students.

BMEN E4540 Bioelectrochemistry. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (CHEM UN3079) and (CHEM UN2443) or equivalent.

Application of electrochemical kinetics to interfacial processes occurring in biomedical systems. Basics of electrochemistry, electrochemical instrumentation, and relevant cell and electrophysiology reviewed. Applications to interpretation of excitable and nonexcitable membrane phenomena, with emphasis on heterogeneous mechanistic steps. Examples of therapeutic devices created as a result of bioelectrochemical studies.

BMEN E4550 Micro- and nano-structures in cellular engineering. 3 points.

Lect: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006) or equivalent.

Design, fabrication, and application of micro-/nano-structured systems for cell engineering. Recognition and response of cells to spatial aspects of their extracellular environment. Focus on neural, cardiac, co-culture, and stem cell systems. Molecular complexes at the nanoscale.

Spring 2018: BMEN E4550
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4550 001/76842 W 1:10pm - 3:40pm
415 Schapiro Cepser
Lance Kam 3 23/24

BMEN E4560 Dynamics of biological membranes. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (BIOL UN2005) and (BMEN E4001) or equivalent.

 The structure and dynamics of biological (cellular) membranes are discussed, with an emphasis on biophysical properties. Topics include membrane composition, fluidity, lipid asymmetry, lipid-protein interactions, membrane turnover, membrane fusion, transport, lipid phase behavior. In the second half of the semester, students will lead discussions of recent journal articles.

BMEN E4570 Science and engineering of body fluids. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: General chemistry, organic chemistry, and basic calculus.

Body fluids as a dilute solution of polyelectrolyte molecules in water. Study of physical behavior as affected by the presence of ions in surrounding environments. The physics of covalent, ionic, and hydrogen bonds are reviewed, in relation to the structure/properties of the body fluid. Selected physiological processes are examined in physical-chemical terms for polymers.

BMEN E4580 Fundamentals of Nanobioscience and Nanobiotechnology. 3 points.

Lect: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006) and (BMEN E4001) or (BMEN E4002) instructor permission

Fundamentals of nanobioscience and nanobiotechnology, scientific foundations, engineering principles, current and envisioned applications. This includes the discussion of intermolecular forces and bonding, of the kinetics and thermodynamics of self-assembly, of nanoscale transport processes arising from the actions of biomolecular motors, computation and control in biomolecular systems, and of the mitochondrium as an example of a nanoscale factory.

Spring 2018: BMEN E4580
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4580 001/23367 T Th 1:10pm - 2:25pm
327 Seeley W. Mudd Building
Henry Hess 3 24/30

BMEN E4590 BioMems: cellular and molecular applications. 3 points.

Lect: 3.

Prerequisites: (MATH UN1201) and (BIOL UN2005) and (BIOL UN2006) and (CHEM UN3443) or (CHEM UN2545) or or equivalent. Chemistry.

Topics include biomicroelectromechanical, microfluidic, and lab-on-a-chip systems in biomedical engineering, with a focus on cellular and molecular applications. Microfabrication techniques, biocompatibility, miniaturization of analytical and diagnostic devices, high-throughput cellular studies, microfabrication for tissue engineering, and in vivo devices.

Spring 2018: BMEN E4590
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4590 001/27848 T 4:10pm - 6:40pm
602 Lewisohn Hall
Samuel Sia 3 27/30

BMEN E4601 Cellular electricity. 3 points.

Lect: 2. Lab: 1.Not offered during 2017-18 academic year.

Bioelectricity of the cell membrane. Basis of cell resting voltage, voltage changes that lead to the action potential and electrical oscillations used in sensing systems. Laboratory includes building electronic circuits to measure capacitance of artificial membranes and ion pumping in frog skin.

BMEN E4737 Computer control of medical instrumentation. 3 points.

Lect: 2. Lab: 1.Not offered during 2017-18 academic year.

Prerequisites: Basic knowledge of the C programming language.

Acquisition and presentation of data for medical interpretation. Operating principles of medical devices: technology of medical sensors, algorithms for signal analysis, computer interfacing and programming, interface design. Laboratory assignments cover basic measurement technology, interfacing techniques, use of Labview software instrument interrogation and control, automated ECG analysis, ultrasonic measurements, image processing applied to x-ray images and CAT scans.

BMEN E4738 Transduction and acquisition of biomedical data. 3 points.

Lect: 2. Lab: 1.Not offered during 2017-18 academic year.

Data transduction and acquisition systems used in biomedicine. Assembly of bio-transducers and the analog/digital circuitry for acquiring electrocardiogram, electromyogram, and blood pressure signals. Each small group will develop and construct a working data acquisition board, which will be interfaced with a signal generator to elucidate the dynamics of timing constraints during retrieval of bio-data.

BMEN E4750 Sound and hearing. 3 points.

Lect: 3.

Prerequisites: (PHYS UN1401) and (MATH UN1105) and (MATH UN1106)

Introductory acoustics, basics of waves and discrete mechanical systems. The mechanics of hearing -- how sound is transmitted through the external and middle ear to the inner ear, and the mechanical processing of sound within the inner ear.

Spring 2018: BMEN E4750
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4750 001/20897 M 4:10pm - 6:40pm
327 Seeley W. Mudd Building
Elizabeth Olson 3 2/30

BMEN E4840 Functional Imaging for the Brain. 3 points.

Lect: 3. Lab: 1.

Prerequisites: (APMA E2101) and (APMA E4200) and (ELEN E3801) or instructor's permission.

Fundamentals of modern medical functional imaging. In depth exploration of functional magnetic resonance imaging (fMRI), arterial spin labeling (ASL), and positron emission tomography (PET). Human brain anatomy, physiology, and neurophysiological bases underlying each functional imaging. Statistical and digital signal processing methods specific for functional image analysis. Final cumulative project requiring coding in MATLAB, Python, R, or C.

Spring 2018: BMEN E4840
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4840 001/70023 M 4:10pm - 6:40pm
652 Schermerhorn Hall
Qolamreza Razlighi 3 22/24

BMEN E4894 Biomedical imaging. 3 points.

Lect: 3.

This course covers image formation, methods of analysis, and representation of digital images. Measures of qualitative performance in the context of clinical imaging. Algorithms fundamental to the construction of medical images via methods of computed tomography, magnetic resonance, and ultrasound. Algorithms and methods for the enhancement and quantification of specific features of clinical importance in each of these modalities.

Fall 2017: BMEN E4894
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4894 001/13633 W 4:10pm - 6:40pm
627 Seeley W. Mudd Building
Andreas Hielscher 3 42/50

BMEN E4895 Analysis and Quantification of Medical Images. 3 points.

Lect: 3.

Prerequisites: (BMEN E4894)
Corequisites: BMEN E4894

Novel methods of mathematical analysis applied to problems in medical imaging. Design requirements for screening protocols, treatment therapies, and surgical planning. Sensitivity and specificity in screening mammography and chest radiographs, computer aided diagnosis systems, surgical planning in orthopaedics, quantitative analysis of cardiac performance, functional magnetic resonance imaging, positron emission tomography, and echocardiography data.

BMEN E4898 Biophotonics. 3 points.

Lect: 3.

Prerequisites: (BMEN E4894) and (PHYS UN1403) or instructor's permission.

This course provides a broad-based introduction into the field of Biophotonics. Fundamental concepts of optical, thermal, and chemical aspects of the light-tissue interactions will be presented. The application of these concepts for medical therapy and diagnostics will be discussed. The course includes theoretical modeling of light-tissue interactions as well as optical medical instrument design and methods of clinical data interpretation.

Spring 2018: BMEN E4898
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4898 001/74799 W 4:10pm - 6:00pm
602 Lewisohn Hall
Hyun Keol Kim 3 17/24

BMEN E4999 Graduate Fieldwork. 1 point.

Prerequisites: Obtained internship and approval from faculty advisor. BMEN graduate students only.

Only for BMEN graduate students who need relevant work experience as part of their program of study. Final reports required. May not be taken for pass/fail credit or audited.

Summer 2017: BMEN E4999
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4999 001/92346  
Katherine Reuther 1 2
Fall 2017: BMEN E4999
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 4999 001/77549  
Katherine Reuther 1 1

BMEN E6000 Graduate Special Topic. 3 points.

Lect: 3.

Current topics in biomedical engineering. Subject matter will vary by year. Instructors may impose prerequisites depending on the topic.

BMEN E6003 Computational modeling of physiological systems. 3 points.

Lect: 3.

Prerequisites: (BMEN E4001) and (BMEN E4002) and (APMA E4200) or equivalent.

Advanced computational modeling and quantitative analysis of selected physiological systems from molecules to organs. Selected systems are analyzed in depth with an emphasis on modeling methods and quantitative analysis. Topics may include cell signaling, molecular transport, excitable membranes, respiratory physiology, nerve transmission, circulatory control, auditory signal processing, muscle physiology, data collection and analysis.

Fall 2017: BMEN E6003
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 6003 001/27647 M 4:10pm - 6:40pm
834 Seeley W. Mudd Building
Katherine Reuther 3 44/45
Spring 2018: BMEN E6003
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 6003 025/25403 M 4:10pm - 6:40pm
825 Seeley W. Mudd Building
Katherine Reuther 3 31/40

BMEN E6005 Biomedical Design I. 3 points.

Lect: 3.

Prerequisites: Master's students only.

Project-based design experience for graduate students. Elements of design process, including need identification, concept generation, concept selection, and implementation. Development of design prototype and introduction to entrepreneurship and implementation strategies. Real-world training in biomedical design and innovation.

Fall 2017: BMEN E6005
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 6005 001/11976 M W 1:10pm - 2:25pm
313 Pupin Laboratories
Katherine Reuther 3 20/25

BMEN E6006 Biomedical Design II. 3 points.

Lect: 3.

Second-semester project-based design experience for graduate students. Elements of design process, with focus on skills development, prototype development and testing, and business planning. Real-world training in biomedical design and innovation, and entrepreneurship.

Spring 2018: BMEN E6006
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 6006 001/60746 W 12:10pm - 2:40pm
602 Northwest Corner
Katherine Reuther 3 11/25

BMEN E6007 Lab-to-market: commercializing biomedical innovations. 3 points.

Lect: 3.

Introduction to and application of commercialization of biomedical innovations. Topics include needs clarification, stakeholder analysis, market analysis, value proposition, business models, intellectual property, regulatory, and reimbursement. Development of path-to-market strategy and pitch techniques.  

Spring 2018: BMEN E6007
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 6007 001/77721 T 4:10pm - 6:40pm
302 Fayerweather
Andrea Nye, Katherine Reuther 3 6/25

BMEN E6301 Modeling of biological tissues with finite elements. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (MECE E6422) or (ENME E6315) or equivalent.

Structure-function relations and linear/nonlinear constitutive models of biological tissues: anisotropic elasticity, viscoelasticity, porous media theories, mechano-electrochemical models, infinitesimal and large deformations. Emphasis on the application and implementation of constitutive models for biological tissues into existing finite element software packages. Model generation from biomedical images by extraction of tissue geometry, inhomogeneity and anisotropy. Element-by-element finite element solver for large-scale image based models of trabecular bone. Implementation of tissue remodeling simulations in finite element models.

BMEN E6420 Advanced microscopy: fundamentals and applications. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (PHYS UN1401) and (PHYS UN1402) and (PHYS UN1403) or (PHYS UN1601) and (PHYS UN1602) and (PHYS UN2601) or (PHYS UN2801) and (PHYS UN2802) or equivalent (general Physics sequence).

Fundamentals of techniques including confocal, two-photon, atomic force and electron microscopy.  Application of methods to modern biomedical imaging targets. Analysis and interpretation of microscopy data. Enrollment beyond the cap must be completed using an add/drop form in consultation with class instructor.

BMEN E6500 Tissue and molecular engineering laboratory. 4 points.

Lect: 1. Lab: 3.

Prerequisites: (BIOL UN2005) and (BIOL UN2006) or permission of instructor.

Hands-on experiments in molecular and cellular techniques, including fabrication of living engineered tissues. Covers sterile technique, culture of mammalian cells, microscopy, basic subcloning and gel electrophoresis, creation of cell-seeded scaffolds, and the effects of mechanical loading on the metabolism of living cells or tissues. Theory, background, and practical demonstration for each technique will be presented.

Fall 2017: BMEN E6500
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 6500 001/29989 F 1:10pm - 5:25pm
382 Engineering Terrace
Katherine Reuther 4 9/12

BMEN E6505 Advanced scaffold design and engineering complex tissues. 3 points.

Lect: 2.5. Lab: 0.5.

Prerequisites: (BMEN E4501) or equivalent.
Corequisites: BMEN E4001,BMEN E4002

Advanced biomaterial selection and biomimetic scaffold design for tissue engineering and regenerative medicine. Formulation of bio-inspired design criteria, scaffold characterization and testing, and applications on forming complex tissues or organogenesis. Laboratory component includes basic scaffold fabrication, characterization and in vitro evaluation of biocompatibility. Group projects target the design of scaffolds for select tissue engineering applications.

Fall 2017: BMEN E6505
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 6505 001/12894 T 10:10am - 12:40pm
353 Engineering Terrace
Helen Lu 3 17/23

BMEN E8001 Current Topics in nanobiotechnology and synthetic biology. 3 points.

Lect: 3.

Targeted toward graduate students; undergraduate student may participate with permission of the instructor. Review and critical discussion of recent literature in nanobiotechnology and synthetic biology. Experimental and theoretical techniques, critical advances. Quality judgments of scientific impact and technical accuracy. Styles of written and graphical communication, the peer review process.

BMEN E9100 Masters research. 1-6 points.

Candidates for the M.S. degree may conduct an investigation of some problem in biomedical engineering culminating in a thesis describing the results of their work. No more than 6 points in this course may be counted for graduate credit, and this credit is contingent upon the submission of an acceptable thesis.

Fall 2017: BMEN E9100
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9100 001/71012  
Gerard Ateshian 1-6 1
BMEN 9100 002/27073  
Tal Danino 1-6 0
BMEN 9100 003/28196  
X. Edward Guo 1-6 1
BMEN 9100 004/71382  
Henry Hess 1-6 0
BMEN 9100 005/20059  
Andreas Hielscher 1-6 1
BMEN 9100 006/10949  
Elizabeth Hillman 1-6 1
BMEN 9100 007/17402  
Clark Hung 1-6 1
BMEN 9100 008/60305  
Christopher Jacobs 1-6 1
BMEN 9100 009/64434  
Joshua Jacobs 1-6 1
BMEN 9100 010/25406  
Lance Kam 1-6 1
BMEN 9100 011/61145  
Elisa Konofagou 1-6 2
BMEN 9100 012/61322  
Aaron Kyle 1-6 0
BMEN 9100 013/24174  
Andrew Laine 1-6 4
BMEN 9100 014/18167  
Edward Leonard 1-6 0
BMEN 9100 015/21198  
Kam Leong 1-6 1
BMEN 9100 016/63586  
Helen Lu 1-6 0
BMEN 9100 017/12541  
Barclay Morrison 1-6 0
BMEN 9100 018/29671  
Van Mow 1-6 0
BMEN 9100 019/26887  
Elizabeth Olson 1-6 0
BMEN 9100 020/64011  
Katherine Reuther 1-6 4
BMEN 9100 021/25573  
Paul Sajda 1-6 2/15
BMEN 9100 022/68286  
Michael Sheetz 1-6 0/15
BMEN 9100 023/66441  
Kenneth Shepard 1-6 0/12
BMEN 9100 024/12869  
Samuel Sia 1-6 2/12
BMEN 9100 025/75876  
Stavros Thomopoulos 1-6 2
BMEN 9100 026/63506  
1-6 0
BMEN 9100 027/61713  
Gordana Vunjak-Novakovic 1-6 3
BMEN 9100 028/24560  
Qi Wang 1-6 1
Spring 2018: BMEN E9100
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9100 001/66799  
Gerard Ateshian 1-6 0
BMEN 9100 002/73308  
Tal Danino 1-6 0
BMEN 9100 003/22300  
X. Edward Guo 1-6 2
BMEN 9100 004/65036  
Henry Hess 1-6 0
BMEN 9100 005/29397  
Andreas Hielscher 1-6 1
BMEN 9100 006/74822  
Elizabeth Hillman 1-6 1
BMEN 9100 007/10424  
Shunichi Homma 1-6 0
BMEN 9100 008/65628  
Clark Hung 1-6 0
BMEN 9100 009/13401  
Christopher Jacobs 1-6 0
BMEN 9100 010/16559  
Joshua Jacobs 1-6 1
BMEN 9100 011/11475  
Christoph Juchem 1-6 1
BMEN 9100 012/16842  
Lance Kam 1-6 1
BMEN 9100 013/15132  
Elisa Konofagou 1-6 1
BMEN 9100 014/16395  
Aaron Kyle 1-6 0
BMEN 9100 015/73779  
Andrew Laine 1-6 0
BMEN 9100 016/18330  
Edward Leonard 1-6 0
BMEN 9100 017/72045  
Kam Leong 1-6 2
BMEN 9100 018/70534  
Helen Lu 1-6 0
BMEN 9100 019/65884  
Barclay Morrison 1-6 0
BMEN 9100 020/11446  
Van Mow 1-6 0
BMEN 9100 021/70399  
Elizabeth Olson 1-6 0
BMEN 9100 022/76882  
Katherine Reuther 1-6 2
BMEN 9100 023/61828  
Paul Sajda 1-6 0
BMEN 9100 024/74326  
Michael Sheetz 1-6 0
BMEN 9100 025/12925  
Kenneth Shepard 1-6 0
BMEN 9100 026/16920  
Samuel Sia 1-6 0
BMEN 9100 027/21770  
Milan Stojanovic 1-6 0
BMEN 9100 028/66754  
Stavros Thomopoulos 1-6 1
BMEN 9100 029/22452  
John Vaughan 1-6 0
BMEN 9100 030/76451  
Gordana Vunjak-Novakovic 1-6 4
BMEN 9100 031/74498  
Qi Wang 1-6 0

BMEN E9500 Doctoral research. 1-6 points.

Doctoral candidates are required to make an original investigation of a problem in biomedical engineering, the results of which are presented in the dissertation.

Fall 2017: BMEN E9500
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9500 001/60568  
Gerard Ateshian 1-6 0
BMEN 9500 002/13937  
Tal Danino 1-6 3
BMEN 9500 003/73466  
X. Edward Guo 1-6 2
BMEN 9500 004/18843  
Henry Hess 1-6 1
BMEN 9500 005/15915  
Andreas Hielscher 1-6 2
BMEN 9500 006/23963  
Elizabeth Hillman 1-6 2
BMEN 9500 007/65627  
Clark Hung 1-6 0
BMEN 9500 008/12368  
Christopher Jacobs 1-6 1
BMEN 9500 009/64704  
Joshua Jacobs 1-6 1
BMEN 9500 010/16908  
Lance Kam 1-6 3
BMEN 9500 011/68891  
Elisa Konofagou 1-6 9
BMEN 9500 012/23830  
Aaron Kyle 1-6 0
BMEN 9500 013/18062  
Andrew Laine 1-6 2
BMEN 9500 014/65556  
Edward Leonard 1-6 0
BMEN 9500 015/77075  
Kam Leong 1-6 3
BMEN 9500 016/23295  
Helen Lu 1-6 1
BMEN 9500 017/14562  
Barclay Morrison 1-6 3
BMEN 9500 018/60678  
Van Mow 1-6 0
BMEN 9500 019/17789  
Elizabeth Olson 1-6 2
BMEN 9500 020/72320  
Katherine Reuther 1-6 0
BMEN 9500 021/66496  
Paul Sajda 1-6 1
BMEN 9500 022/18628  
Michael Sheetz 1-6 0
BMEN 9500 023/11617  
Kenneth Shepard 1-6 0
BMEN 9500 024/76608  
Samuel Sia 1-6 5
BMEN 9500 025/23279  
Stavros Thomopoulos 1-6 1
BMEN 9500 026/18633  
1-6 1
BMEN 9500 027/26750  
Gordana Vunjak-Novakovic 1-6 0
BMEN 9500 028/27550  
Qi Wang 1-6 5
BMEN 9500 029/77802  
Christoph Juchem 1-6 0
Spring 2018: BMEN E9500
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9500 001/69908  
Gerard Ateshian 1-6 0
BMEN 9500 002/12621  
Tal Danino 1-6 0
BMEN 9500 003/12457  
X. Edward Guo 1-6 1
BMEN 9500 004/17031  
Henry Hess 1-6 0
BMEN 9500 005/19725  
Andreas Hielscher 1-6 0
BMEN 9500 006/67205  
Elizabeth Hillman 1-6 0
BMEN 9500 007/77756  
Shunichi Homma 1-6 0
BMEN 9500 008/77649  
Clark Hung 1-6 0
BMEN 9500 009/67800  
Christopher Jacobs 1-6 0
BMEN 9500 010/74445  
Joshua Jacobs 1-6 1
BMEN 9500 011/71472  
Christoph Juchem 1-6 0
BMEN 9500 012/16485  
Lance Kam 1-6 0
BMEN 9500 013/77566  
Elisa Konofagou 1-6 2
BMEN 9500 014/29057  
Aaron Kyle 1-6 0
BMEN 9500 015/63723  
Andrew Laine 1-6 2
BMEN 9500 016/63089  
Edward Leonard 1-6 0
BMEN 9500 017/16735  
Kam Leong 1-6 0
BMEN 9500 018/12308  
Helen Lu 1-6 0
BMEN 9500 019/12406  
Barclay Morrison 1-6 0
BMEN 9500 020/70538  
Van Mow 1-6 0
BMEN 9500 021/27289  
Elizabeth Olson 1-6 0
BMEN 9500 022/21675  
Paul Sajda 1-6 0
BMEN 9500 023/61239  
Michael Sheetz 1-6 0
BMEN 9500 024/63756  
Kenneth Shepard 1-6 0
BMEN 9500 025/14508  
Samuel Sia 1-6 2
BMEN 9500 026/65353  
Milan Stojanovic 1-6 0
BMEN 9500 027/20547  
Stavros Thomopoulos 1-6 0
BMEN 9500 028/65112  
John Vaughan 1-6 0
BMEN 9500 029/23350  
Gordana Vunjak-Novakovic 1-6 0
BMEN 9500 030/16682  
Qi Wang 1-6 0

BMEN E9700 Biomedical engineering seminar. 0 points.

0 pts. Sem: 1.

All matriculated graduate students are required to attend the seminar as long as they are in residence. No degree credit is granted. The seminar is the principal medium of communication among those with biomedical engineering interests within the University. Guest speakers from other institutions, Columbia faculty, and students within the Department who are advanced in their studies frequently offer sessions.

Fall 2017: BMEN E9700
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9700 001/60291 F 11:00am - 1:00pm
614 Schermerhorn Hall
Elizabeth Olson, Qi Wang 0 81/123
Spring 2018: BMEN E9700
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9700 001/11784 F 11:00am - 1:00pm
501 Northwest Corner
Elizabeth Olson, Qi Wang 0 29/123

BMEN E9800 Doctoral research instruction. 3-12 points.

A candidate for the Eng.Sc.D. degree in biomedical engineering must register for 12 points of doctoral research instruction. Registration may not be used to satisfy the minimum residence requirement for the degree.

Fall 2017: BMEN E9800
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9800 001/25649  
Gerard Ateshian 3-12 0
BMEN 9800 002/24265  
Tal Danino 3-12 0
BMEN 9800 003/27733  
X. Edward Guo 3-12 0
BMEN 9800 004/26380  
Henry Hess 3-12 0
BMEN 9800 005/28954  
Andreas Hielscher 3-12 0
BMEN 9800 006/26372  
Elizabeth Hillman 3-12 0
BMEN 9800 007/74833  
Clark Hung 3-12 0
BMEN 9800 008/17036  
Christopher Jacobs 3-12 0
BMEN 9800 009/61031  
Joshua Jacobs 3-12 0
BMEN 9800 010/13203  
Lance Kam 3-12 0
BMEN 9800 011/19098  
Elisa Konofagou 3-12 0
BMEN 9800 012/21286  
Andrew Laine 3-12 0
BMEN 9800 013/67785  
Edward Leonard 3-12 0
BMEN 9800 014/20248  
Kam Leong 3-12 0
BMEN 9800 015/65579  
Helen Lu 3-12 0
BMEN 9800 016/13682  
Barclay Morrison 3-12 0
BMEN 9800 017/61486  
Van Mow 3-12 0
BMEN 9800 018/22935  
Elizabeth Olson 3-12 0
BMEN 9800 019/24624  
Katherine Reuther 3-12 0
BMEN 9800 020/26283  
Paul Sajda 3-12 0
BMEN 9800 021/28461  
Michael Sheetz 3-12 0
BMEN 9800 022/64858  
Kenneth Shepard 3-12 0
BMEN 9800 023/14274  
Samuel Sia 3-12 0
BMEN 9800 024/76136  
Stavros Thomopoulos 3-12 0
BMEN 9800 025/60841  
3-12 0
BMEN 9800 026/18116  
Gordana Vunjak-Novakovic 3-12 0
BMEN 9800 027/61574  
Qi Wang 3-12 0
Spring 2018: BMEN E9800
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9800 001/76569  
Gerard Ateshian 3-12 0
BMEN 9800 002/10703  
Tal Danino 3-12 0
BMEN 9800 003/69779  
X. Edward Guo 3-12 0
BMEN 9800 004/70035  
Henry Hess 3-12 0
BMEN 9800 005/61851  
Andreas Hielscher 3-12 0
BMEN 9800 006/20521  
Elizabeth Hillman 3-12 0
BMEN 9800 007/26890  
Shunichi Homma 3-12 0
BMEN 9800 008/66065  
Clark Hung 3-12 0
BMEN 9800 009/69856  
Christopher Jacobs 3-12 0
BMEN 9800 010/15607  
Joshua Jacobs 3-12 0
BMEN 9800 011/70702  
Christoph Juchem 3-12 0
BMEN 9800 012/65714  
Lance Kam 3-12 0
BMEN 9800 013/61223  
Elisa Konofagou 3-12 0
BMEN 9800 014/27569  
Aaron Kyle 3-12 0
BMEN 9800 015/74352  
Andrew Laine 3-12 0
BMEN 9800 016/60342  
Edward Leonard 3-12 0
BMEN 9800 017/65097  
Kam Leong 3-12 0
BMEN 9800 018/73651  
Helen Lu 3-12 0
BMEN 9800 019/74000  
Barclay Morrison 3-12 0
BMEN 9800 020/69799  
Van Mow 3-12 0
BMEN 9800 021/71703  
Elizabeth Olson 3-12 0
BMEN 9800 022/13207  
Paul Sajda 3-12 0
BMEN 9800 023/72545  
Michael Sheetz 3-12 0
BMEN 9800 024/29910  
Kenneth Shepard 3-12 0
BMEN 9800 025/66757  
Samuel Sia 3-12 1
BMEN 9800 026/21754  
Milan Stojanovic 3-12 0
BMEN 9800 027/67098  
Stavros Thomopoulos 3-12 0
BMEN 9800 028/14163  
John Vaughan 3-12 0
BMEN 9800 029/65549  
Gordana Vunjak-Novakovic 3-12 0
BMEN 9800 030/17882  
Qi Wang 3-12 0

BMEN E9900 Doctoral dissertation. 0 points.

0 pts.

A candidate for the doctorate in biomedical engineering or applied biology may be required to register for this course in every term after the student's course work has been completed and until the dissertation has been accepted.

Fall 2017: BMEN E9900
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9900 001/75750  
Gerard Ateshian 0 0
BMEN 9900 002/24727  
Tal Danino 0 0
BMEN 9900 003/23500  
X. Edward Guo 0 0
BMEN 9900 004/28930  
Henry Hess 0 0
BMEN 9900 005/64595  
Andreas Hielscher 0 1
BMEN 9900 006/13907  
Elizabeth Hillman 0 0
BMEN 9900 007/20351  
Clark Hung 0 0
BMEN 9900 008/11531  
Christopher Jacobs 0 0
BMEN 9900 009/61729  
Joshua Jacobs 0 0
BMEN 9900 010/16185  
Lance Kam 0 0
BMEN 9900 011/17084  
Elisa Konofagou 0 0
BMEN 9900 012/11622  
Aaron Kyle 0 0
BMEN 9900 013/73782  
Andrew Laine 0 0
BMEN 9900 014/28376  
Edward Leonard 0 0
BMEN 9900 015/12903  
Kam Leong 0 0
BMEN 9900 016/72875  
Helen Lu 0 0
BMEN 9900 017/26964  
Barclay Morrison 0 0
BMEN 9900 018/20931  
Van Mow 0 0
BMEN 9900 019/62263  
Elizabeth Olson 0 0
BMEN 9900 020/18951  
Katherine Reuther 0 0
BMEN 9900 021/77027  
Paul Sajda 0 0
BMEN 9900 022/12128  
Michael Sheetz 0 0
BMEN 9900 023/77011  
Kenneth Shepard 0 0
BMEN 9900 024/70087  
Samuel Sia 0 0
BMEN 9900 025/25824  
Stavros Thomopoulos 0 0
BMEN 9900 026/64572  
0 0
BMEN 9900 027/71623  
Gordana Vunjak-Novakovic 0 0
BMEN 9900 028/19072  
Qi Wang 0 0
Spring 2018: BMEN E9900
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEN 9900 001/16798  
Gerard Ateshian 0 0
BMEN 9900 002/18230  
Tal Danino 0 0
BMEN 9900 003/21847  
X. Edward Guo 0 0
BMEN 9900 004/71890  
Henry Hess 0 0
BMEN 9900 005/14150  
Andreas Hielscher 0 0
BMEN 9900 006/24828  
Elizabeth Hillman 0 0
BMEN 9900 007/71994  
Shunichi Homma 0 0
BMEN 9900 008/29846  
Clark Hung 0 0
BMEN 9900 009/75357  
Christopher Jacobs 0 0
BMEN 9900 010/25121  
Joshua Jacobs 0 0
BMEN 9900 011/63305  
Christoph Juchem 0 0
BMEN 9900 012/75930  
Lance Kam 0 0
BMEN 9900 013/26164  
Elisa Konofagou 0 0
BMEN 9900 014/61062  
Aaron Kyle 0 0
BMEN 9900 015/25257  
Andrew Laine 0 0
BMEN 9900 016/20200  
Edward Leonard 0 0
BMEN 9900 017/19880  
Kam Leong 0 0
BMEN 9900 018/12463  
Helen Lu 0 0
BMEN 9900 019/26863  
Barclay Morrison 0 0
BMEN 9900 020/72216  
Van Mow 0 0
BMEN 9900 021/27218  
Elizabeth Olson 0 0
BMEN 9900 022/76833  
Paul Sajda 0 0
BMEN 9900 023/61225  
Michael Sheetz 0 0
BMEN 9900 024/20930  
Kenneth Shepard 0 0
BMEN 9900 025/19081  
Samuel Sia 0 0
BMEN 9900 026/25219  
Milan Stojanovic 0 0
BMEN 9900 027/68522  
Stavros Thomopoulos 0 0
BMEN 9900 028/69099  
John Vaughan 0 0

BMCH E3500 Transport in biological systems. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (CHEM UN3443) and (MATH UN2030) CHEM C3443 and MATH V2030.
Corequisites: BIOL C2005.

Convective and diffusive movement and reaction of molecules in biological systems.  Kinetics of homogeneous and heterogeneous reactions in biological environments.  Mechanisms arid models of transport across membranes.  Convective diffusion with and without chemical reaction.  Diffusion in restricted spaces.  Irreversible thermodynamic approaches to transport and reaction in biological systems.

BMCH E4500 Biological transport and rate processes. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (CHEM UN2443) and (APMA E2101)
Corequisites: BIOL UN2005

Convective and diffusive movement and reaction of molecules in biological systems. Kinetics of homogeneous and heterogeneous reactions in biological environments. Mechanisms and models of transport across membranes. Convective diffusion with and without chemical reaction. Diffusion in restricted spaces. Irreversible thermodynamic approaches to transport and reaction in biological systems. 

BMCH E4810 Artificial organs. 3 points.

Lect: 3.

Analysis and design of replacements for the heart, kidneys, and lungs. Specification and realization of structures for artificial organ systems.

Spring 2018: BMCH E4810
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMCH 4810 001/26851 F 1:10pm - 3:40pm
545 Seeley W. Mudd Building
Edward Leonard 3 14/24

BMEE E4030 Neural control engineering. 3 points.

Lect: 3.

Prerequisites: (ELEN E3801) ELEN E3801

Topics include: basic cell biophysics, active conductance and the Hodgkin-Huxley model, simple neuron models, ion channel models and synaptic models, statistical models of spike generation, Wilson-Cowan model of cortex, large-scale electrophysiological recording methods, sensorimotor integration and optimal state estimation, operant conditioning of neural activity, nonlinear modeling of neural systems, sensory systems: visual pathway and somatosensory pathway, neural encoding model: spike triggered average (STA) and spike triggered covariance (STC) analysis, neuronal response to electrical micro-stimulation, DBS for Parkinson's disease treatment, motor neural prostheses, and sensory neural prostheses.

Fall 2017: BMEE E4030
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEE 4030 001/18570 Th 1:10pm - 3:40pm
963 Ext Schermerhorn Hall
Qi Wang 3 25/40

BMEE E4400 Wavelet applications in biomedical image and signal processing. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (APMA E2101) or (APMA E3101) or equivalent.

An introduction to methods of wavelet analysis and processing techniques for the quantification of biomedical images and signals. Topics include: frames and overcomplete representations, multiresolution algorithms for denoising and image restoration, multiscale texture segmentation and classification methods for computer aided diagnosis.

BMEE E4740 Bioinstrumentation. 3 points.

Lect: 1. Lab: 3.

Prerequisites: (ELEN E1201) and (COMS W1005)

Hands-on experience designing, building, and testing the various components of a benchtop cardiac pacemaker. Design instrumentation to measure biomedical signals as well as to actuate living tissues. Transducers, signal conditioning electronics, data acquisition boards, the Arduino microprocessor, and data acquisition and processing using MATLAB will be covered. Various devices will be discussed throughout the course, with laboratory work focusing on building an emulated version of a cardiac pacemaker.

Spring 2018: BMEE E4740
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEE 4740 001/70125 F 10:10am - 12:40pm
253 Engineering Terrace
Aaron Kyle 3 24/24

BMEE E6030 Neural modeling and neuroengineering. 3 points.

Lect: 3.

Prerequisites: (ELEN E3801) and (APMA E2101) or (APMA E3101) or equivalent, or instructor's permission.

Engineering perspective on the study of multiple levels of brain organization, from single neurons to cortical modules and systems. Mathematical models of spiking neurons, neural dynamics, neural coding, and biologically-based computational learning. Architectures and learning principles underlying both artificial and biological neural networks. Computational models of cortical processing, with an emphasis on the visual system. Applications of principles in neuroengineering; neural prostheses, neuromorphic systems and biomimetics. Course will include a computer simulation laboratory. Lab required.

BMEB W4020 Computational neuroscience: circuits in the brain. 3 points.

Lect: 3.

Prerequisites: (ELEN E3801) or (BIOL UN3004)

The biophysics of computation: modeling biological neurons, the Hodgkin-Huxley neuron, modeling channel conductances and synapses as memristive systems, bursting neurons and central pattern generators, I/O equivalence and spiking neuron models.  Information representation and neural encoding: stimulus representation with time encoding machines, the geometry of time encoding, encoding with neural circuits with feedback, population time encoding machines.  Dendritic computation: elements of spike processing and neural computation, synaptic plasticity and learning algorithms, unsupervised learning and spike time-dependent plasticity, basic dendritic integration.  Projects in MATLAB.

Fall 2017: BMEB W4020
Course Number Section/Call Number Times/Location Instructor Points Enrollment
BMEB 4020 001/65205 T 7:00pm - 9:30pm
627 Seeley W. Mudd Building
Aurel Lazar 3 22/80

BMME E4702 Advanced musculoskeletal biomechanics. 3 points.

Lect: 2.5. Lab: 0.5.

Advanced analysis and modeling of the musculoskeletal system. Topics include advanced concepts of 3-D segmental kinematics, musculoskeletal dynamics, experimental measurements of joint kinematics and anatomy, modeling of muscles and locomotion, multibody joint modeling, introduction to musculoskeletal surgical simulations.

CBMF W4761 Computational Genomics. 3 points.

Lect: 3.

Prerequisites: Working knowledge of at least one programming language, and some background in probability and statistics.

Computational techniques for analyzing genomic data including DNA, RNA, protein and gene expression data. Basic concepts in molecular biology relevant to these analyses. Emphasis on techniques from artificial intelligence and machine learning. String-matching algorithms, dynamic programming, hidden Markov models, expectation-maximization, neural networks, clustering algorithms, support vector machines. Students with life sciences backgrounds who satisfy the prerequisites are encouraged to enroll. 

Spring 2018: CBMF W4761
Course Number Section/Call Number Times/Location Instructor Points Enrollment
CBMF 4761 001/19098 M W 4:10pm - 5:25pm
545 Seeley W. Mudd Building
Itshack Pe'er 3 50/60

CHBM E4321 The genome and the cell. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (BIOL UN2005) and (MATH UN2030)

The utility of genomic information lies in its capacity to predict the behavior of living cells in physiological, developmental, and pathological situations. The effect of variations in genome structure between individuals within a species, including those deemed healthy or diseased, and among species, can be inferred statistically by comparisons of sequences with behaviors, and mechanistically, by studying the action of molecules whose structure is encoded within the genome. This course examines known mechanisms that elucidate the combined effect of environmental stimulation and genetic makeup on the behavior of cells in homeostasis, disease states, and during development, and includes assessments of the probable effect of these behaviors on the whole organism.  Quantitative models of gene translation and intracellular signal transduction will be used to illustrate switching of intracellular processes, transient and permanent gene activation, and cell commitment, development, and death.

EEBM E6020 Methods of computational neuroscience. 4.5 points.

Lect: 3.

Prerequisites: (BMEB W4020)

Formal methods in computational neuroscience including methods of signal processing, communications theory, information theory, systems and control, system identification and machine learning. Molecular models of transduction pathways. Robust adaptation and integral feedback. Stimulus representation and groups. Stochastic and dynamical systems models of spike generation. Neural diversity and ensemble encoding. Time encoding machines and neural codes. Stimulus recovery with time decoding machines. MIMO models of neural computation. Synaptic plasticity and learning algorithms. Major project(s) in MATLAB.

EEBM E6090 Topics in computational neuroscience and neuroengineering: Brian/Computer Interfaces. 3 points.

Lect: 2.

Prerequisites: The instructor's permission.

Selected advanced topics in computational neuroscience and neuroengineering. Content varies from year to year, and different topics rotate through the course numbers 6090-6099.

EEBM E6091 Topics in computational neuroscience and neuroengineering. 3 points.

Lect: 2.

Prerequisites: The instructor's permission.

Topic: Neuromorphic Engineering.

EEBM E6092 Topics in computational neuroscience and neuroengineering. 3 points.

Lect: 2.

Prerequisites: The instructor's permission.

Topic: Big Data in Neurscience.

EEBM E6099 Topics in computational neuroscience and neuroengineering: Brian/Computer Interfaces. 3 points.

Lect: 2.

Prerequisites: The instructor's permission.

Selected advanced topics in computational neuroscience and neuroengineering. Content varies from year to year, and different topics rotate through the course numbers 6090-6099.

EEBM E9070 Seminar in computational neuroscience and neuroengineering. 3 points.

Lect: 3.

Prerequisites: (BMEB W4020) or permission of instructor.

Drosophila connectomics. Detailed description of the fruit fly's olfactory and vision systems. Parallel processing on GPSs. 

APBM E4650 Anatomy for physicists and engineers. 3 points.

Lect: 3.

Prerequisites: Engineering or physics background

Systemic approach to the study of the human body from a medical imaging point of view: skeletal, respiratory, cardiovascular, digestive, and urinary systems, breast and women's issues, head and neck, and central nervous system. Lectures are reinforced by examples from clinical two- and three-dimensional and functional imaging (CT, MRI, PET, SPECT, U/S, etc.).

Fall 2017: APBM E4650
Course Number Section/Call Number Times/Location Instructor Points Enrollment
APBM 4650 001/10567 T Th 4:10pm - 5:25pm
1-303 Presbyterian Hospital
Monique Katz, Anna Rozenshtein 3 16/24

ECBM E3060 Introduction to genomic information science and technology. 3 points.

Lect: 3.

Introduction to the information system paradigm of molecular biology. Representation, organization, structure, function and manipulation of the biomolecular sequences of nucleic acids and proteins. The role of enzymes and gene regulatory elements in natural biological functions as well as in biotechnology and genetic engineering. Recombination and other macromolecular processes viewed as mathematical operations with simulation and visualization using simple computer programming. This course shares lectures with ECBM E4060, but the work requirements differ somewhat.

ECBM E4040 Neural networks and deep learning. 3 points.

Lect: 3.

Prerequisites: (BMEB W4020) or (BMEE E4030) or (ECBM E4090) or (EECS E4750) or (COMS W4771) or equivalent.

Developing features & internal representations of the world, artificial neural networks, classifying handwritten digits with logistics regression, feedforward deep networks, back propagation in multilayer perceptrons, regularization of deep or distributed models, optimization for training deep models, convolutional neural networks, recurrent and recursive neural networks, deep learning in speech and object recognition.

Fall 2017: ECBM E4040
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECBM 4040 001/72475 F 10:10am - 12:40pm
207 Mathematics Building
Zoran Kostic 3 124/152

ECBM E4060 Introduction to Genomic Information. 3 points.

Lect: 3.

Introduction to the information system paradigm of molecular biology. Representation, organization, structure, function, and manipulation of the biomolecular sequences of nucleic acids and proteins. The role of enzymes and gene regulatory elements in natural biological functions as well as in biotechnology and genetic engineering. Recombination and other macromolecular processes viewed as mathematical operations with simulation and visualization using simple computer programming. 

Fall 2017: ECBM E4060
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECBM 4060 001/26028 M 7:00pm - 9:30pm
702 Hamilton Hall
Dimitris Anastassiou 3 31/80

ECBM E4090 Brain computer interfaces (BCI) laboratory. 3 points.

Lect: 2. Lab: 3.

Prerequisites: (ELEN E3801)

Hands on experience with basic neural interface technologies. Recording EEG (electroencephalogram) signals using data acquisition systems (non-invasive, scalp recordings). Real-time analysis and monitoring of brain responses. Analysis of intention and perception of external visual and audio signals.

Fall 2017: ECBM E4090
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECBM 4090 001/23800 T 10:10am - 12:40pm
207 Union Theological Seminary
Nima Mesgarani 3 18/21

ECBM E6040 Neural networks and deep learning research. 3 points.

Lect: 3.

Prerequisites: (ECBM E4040) or equivalent.

Regularized autoencoders, sparse coding and predictive sparse decomposition, denoising autoencoders, representation learning, manifold perspective on representation learning, structured probabilistic models for deep learning, Monte Carlo methods, training and evaluating models with intractable partition functions, restricted Boltzmann machines, approximate inference, deep belief networks, deep learning in speech and object recognition.

ECBM E6070 Topics in neuroscience & deep learning. 3 points.

Lect: 2. Not offered during 2017-18 academic year.

Prerequisites: Instructor's permission.

Selected advanced topics in neuroscience & deep learning. Content varies from year to year, and different topics rotate through the course numbers 6070 to 6079.

Spring 2018: ECBM E6070
Course Number Section/Call Number Times/Location Instructor Points Enrollment
ECBM 6070 001/17794 M 7:00pm - 9:00pm
627 Seeley W. Mudd Building
Aurel Lazar 3 44/50

MEBM E4439 Modeling and identification of dynamic systems. 3 points.

Prerequisites: (APMA E2101) and (ELEN E3801) or instructor's permission.
Corequisites: EEME E3601

Generalized dynamic system modeling and simulation. Fluid, thermal, mechanical, diffusive, electrical, and hybrid systems are considered. Nonlinear and high order systems. System identification problem and Linear Least Squares method. State-space and noise representation. Kalman filter. Parameter estimation via prediction-error and subspace approaches. Iterative and bootstrap methods. Fit criteria. Wide applicability: medical, energy, others. MATLAB and Simulink environments.

Fall 2017: MEBM E4439
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MEBM 4439 001/70417 Th 4:10pm - 6:40pm
703 Hamilton Hall
Nicolas Chbat 3 12/54

MEBM E4702 Advanced musculoskeletal biomechanics. 3 points.

Lect: 3.

Advanced analysis and modeling of the musculoskeletal system. Topics include advanced concepts of 3-D segmental kinematics, musculoskeletal dynamics, experimental measurements of joints kinematics and anatomy, modeling of muscles and locomotion, multibody joint modeling, introduction to musculoskeletal surgical simulations.

MEBM E4703 Molecular mechanics in biology. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (ENME E3105) and (APMA E2101) or instructor's permission.

Mechanical understanding of biological structures including proteins, DNA and RNA in cells and tissues. Force response of proteins and DNA, mechanics of membranes, biophysics of molecular motors, mechanics of protein-protein interactions.  Introduction to modeling and simulation techniques, and modern biophysical techniques such as single molecule FRET, optical traps, AFM, and super-resolution imaging, for understanding molecular mechanics and dynamics.

MEBM E4710 Morphogenesis: Shape and structure in biological materials.

Prerequisites: Courses in mechanics, thermodynamics, and ordinary differential equations (for example, ENME E3113, MECE E3301 and MATH UN3027) at the undergraduate level or instructor's permission.

Introduction to how shape and structure are generated in biological materials using an engineering approach that emphasizes the application of fundamental physical concepts to a diverse set of problems. Mechanisms of pattern formation, self-assembly, and self-organization in biological materials, including intracellular structures, cells, tissues, and developing embryos. Structure, mechanical properties, and dynamic behavior of these materials. Discussion of experimental approaches and modeling. Course uses textbook materials as well as a collection of research papers.

MEBM E6310 Mixture theories for biological tissues, I. 3 points.

Lect: 3.Not offered during 2017-18 academic year.

Prerequisites: (MECE E6422) and (APMA E4200) or equivalent.

Development of governing equations for mixtures with solid matrix, interstitial fluid, and ion constituents. Formulation of constitutive models for biological tissues. Linear and nonlinear models of fibrillar and viscoelastic porous matrices. Solutions to special problems, such as confined and unconfined compression, permeation, indentation and contact, and swelling experiments.

MEBM E6311 Mixture theories for biological tissues, II. 3 points.

Lect: 3.

Prerequisites: (MECE E6422) and (APMA E4200) or equivalent.

Development of governing equations for mixtures with solid matrix, interstitial fluid, and ion constituents. Formulation of constitutive models for biological tissues. Linear and nonlinear models of fibrillar and viscoelastic porous matrices. Solutions to special problems, such as confined and unconfined compression, permeation, indentation and contact, and swelling experiments.