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2008-2009 Bulletin – PDF - SEAS Bulletin - Columbia University

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80<br />

rons, neural dynamics, neural coding, and biologically<br />

based computational learning. Architectures<br />

and learning principles underlying both artificial<br />

and biological neural networks. Computational<br />

models of cortical processing, with an emphasis<br />

on the visual system. Applications of principles in<br />

neuroengineering; neural prostheses, neuromorphic<br />

systems, and biomimetics. Course will<br />

include a computer simulation laboratory.<br />

BMEN E6301y Modeling of biological tissues<br />

with finite elements<br />

Lect: 3. 3 pts. Professor Guo.<br />

Prerequisite: MECE E6422 or ENME E6315, or<br />

the equivalent. Structure-function relations and<br />

linear/ nonlinear constitutive models of biological<br />

tissues: anisotropic elasticity, viscoelasticity,<br />

porous media theories, mechano-electrochemical<br />

models, infinitesimal and large deformations.<br />

Emphasis on the application and implementation<br />

of constitutive models for biological tissues into<br />

existing finite-element software packages. Model<br />

generation from biomedical images by extraction<br />

of tissue geometry, inhomogeneity, and anisotropy.<br />

Element-by-element finite element solver for<br />

large-scale image-based models of trabecular<br />

bone. Implementation of tissue remodeling simulations<br />

in finite element models.<br />

MEBM E6310x–E6311y Mixture theories for<br />

biological tissues, I and II<br />

Lect: 3. 3 pts. Not given in <strong>2008</strong>–<strong>2009</strong>.<br />

Prerequisites: MECE E6422 and APMA E4200<br />

or the equivalent. Development of governing equations<br />

for mixtures with solid matrix, interstitial fluid,<br />

and ion constituents. Formulation of constitutive<br />

models for biological tissues. Linear and nonlinear<br />

models of fibrillar and viscoelastic porous matrices.<br />

Solutions to special problems, such as confined<br />

and unconfined compression, permeation, indentation<br />

and contact, and swelling experiments.<br />

BMEN E6400y Analysis and quantification of<br />

medical images<br />

Lect: 3. 3 pts. Not given in <strong>2008</strong>–<strong>2009</strong>.<br />

Novel methods of mathematical analysis applied<br />

to problems in medical imaging. Design requirements<br />

for screening protocols, treatment therapies,<br />

and surgical planning. Sensitivity and specificity in<br />

screening mammography and chest radiographs,<br />

computer- aided diagnosis systems, surgical planning<br />

in orthopaedics, analysis of cardiac performance,<br />

functional magnetic resonance imaging,<br />

positron emission tomography, and echocardiography<br />

data.<br />

BMEN E9100x or y, or s Master’s research<br />

1 to 6 pts. Professors Anastassiou, Ateshian,<br />

Brown, Das, Guo, Hielscher, Hillman, Homma,<br />

Huang, Hung, Jacobs, Kam, Konofagou, Laine,<br />

Leonard, H. H. Lu, Mao, Morrison, Mow, Sajda,<br />

Sheetz, Sia, and Vunjak-Novakovic.<br />

Candidates for the M.S. degree and candidates for<br />

the M.S. degree leading to the doctoral degree<br />

may conduct an investigation of some problem in<br />

biomedical engineering culminating in a thesis<br />

describing the results of their work. No more than<br />

6 points in this course may be counted for graduate<br />

credit, and this credit is contingent upon the<br />

submission of an acceptable term report.<br />

BMEN E9500x or y, or s Doctoral research<br />

1 to 6 pts. Professors Anastassiou, Ateshian,<br />

Brown, Das, Guo, Hielscher, Hillman, Homma,<br />

Huang, Hung, Jacobs, Kam, Konofagou, Laine,<br />

Leonard, H. H. Lu, Mao, Morrison, Mow, Sajda,<br />

Sheetz, Sia, and Vunjak-Novakovic.<br />

All doctoral candidates (Ph.D. and Eng.Sc.D.) are<br />

required to make an original investigation of a<br />

problem in biomedical engineering, the results of<br />

which are presented in the dissertation. No more<br />

than 12 points of credit in this course may be<br />

granted toward the degree. Doctoral candidates<br />

admitted as M.S. candidates leading to the doctoral<br />

degree should not register for this course.<br />

BMEN E9700x or y Biomedical engineering<br />

seminar<br />

Sem: 1. 0 pts. Professor Sia.<br />

All matriculated graduate students are required to<br />

attend the seminar as long as they are in residence.<br />

No degree credit is granted. The seminar is a<br />

principal medium of communication among those<br />

with biomedical engineering interests within the<br />

<strong>University</strong>. Guest speakers from other institutions,<br />

<strong>Columbia</strong> faculty, and students within the<br />

Department who are advanced in their studies<br />

frequently offer sessions.<br />

BMEN E9800x or y, or s Doctoral research<br />

instruction<br />

3, 6, 9, or 12 pts. Professors Anastassiou,<br />

Ateshian, Brown, Das, Guo, Hielscher, Hillman,<br />

Homma, Huang, Hung, Jacobs, Kam, Konofagou,<br />

Laine, Leonard, H. H. Lu, Mao, Morrison, Mow,<br />

Sajda, Sheetz, Sia, and Vunjak-Novakovic.<br />

Only candidates for the Eng.Sc.D. degree in<br />

biomedical engineering must register for 12 points<br />

of doctoral research instruction. Registration may<br />

not be used to satisfy the minimum residence<br />

requirement for the degree. Not for Ph.D. candidates.<br />

BMEN E9900x or y, or s Doctoral dissertation<br />

0 pts. Professors Anastassiou, Ateshian, Brown,<br />

Das, Guo, Hielscher, Hillman, Homma, Huang,<br />

Hung, Jacobs, Kam, Konofagou, Laine, Leonard,<br />

H. H. Lu, Mao, Morrison, Mow, Sajda, Sheetz,<br />

Sia, and Vunjak-Novakovic.<br />

A candidate for the doctorate in biomedical<br />

engineering is required to register for this course<br />

in every term after the student’s course work has<br />

been completed and until the dissertation has<br />

been accepted.<br />

<strong>SEAS</strong> <strong>2008</strong>–<strong>2009</strong>

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