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University of Pittsburgh    
2019-2020 Graduate & Professional Studies Catalog 
    
 
  Oct 01, 2020
 
2019-2020 Graduate & Professional Studies Catalog [Archived Catalog]

Biomechanics Track


This graduate track has a specific menu of courses to satisfy the 9-credit “Track Courses” requirement for the Research M.S. , Ph.D. , or M.D./Ph.D.

At the University of Pittsburgh there are broad and extensive research activities in Biomechanics. Application areas include cardiovascular, musculoskeletal, ergonomic, occupational, rehabilitation, and urological. Our educational goal is to expand on the fundamental knowledge gained at the undergraduate level of both biomechanics and the biological sciences, and demonstrate how they can be applied to solve basic and applied biomedical problems. We believe that biomechanics concentration students should be exposed to all areas of biomechanics, and not just their area of specialty. Further, since many areas of biomechanics share similar background material, our courses should present fundamental material first, followed by application examples to give the students a feel for “theory and application” in biomechanics. The fundamental philosophy of the approach is multi-scale, wherein Biomechanics is taught as a means to solve biomedical problems, regardless of problem scale (cell to whole body).

Due to the wide breadth of student interests, we offer the following two sub-tracks:

Sub-track I - Biosolid-fluid mechanics/Biological materials
Sub-track II - Biodynamics/Rehabilitation and Human Movement

Each sub-track has a set of three required courses (see below), as well as special options for a second/third life science courses that would be relevant to their area of interest.

Required courses for the biological materials and biofluids sub-track option:

  1. BIOENG 2067 - MUSCULOSKELETAL BIOMECHANICS  
  2. BIOENG 2633 - BIOMECHANICS 4: BIOMECHANICS OF ORGANS, TISSUES, AND CELLS  
  3. BIOENG 2675 - FINITE ELASTICITY OF SOFT TISSUES  

Required courses for the biodynamics/rehab sub-track option:

  1. BIOENG 2632 - BIOMECHANICS 3: BIODYNAMICS OF MOVEMENT  
  2. BIOENG 2633 - BIOMECHANICS 4: BIOMECHANICS OF ORGANS, TISSUES, AND CELLS  
  3. Choose one of the following two options:
    1. BIOENG 2067 - MUSCULOSKELETAL BIOMECHANICS  
    2. An approved Human Movement/Rehabilitation course as listed below

For the third track course, choose one of following two options:

BIOENG 2067 - MUSCULOSKELETAL BIOMECHANICS  

An approved Human Movement/Rehabilitation course as listed below:

Students may satisfy their life science course requirements for the PhD program with any of the courses from the BioE approved list of life science courses.

Recommended Engineering/Math/Related Courses:

ME (CMU) 759 - CELL MECHANICS

Cardiovascular:

BIOENG 2515 - CARDIO SYSTM DYNAMICS & MODELING  

Human Movement/Rehabilitation:

BIOENG 2061 - ERGONOMICS & OCCUPTNL BIOMECHNC  

BIOENG 2650 - LEARNING & CONTROL OF MOVEMENT  

BIOENG 2704 - FUNDMS REHAB ENGR AND TECHN 1  

BIOENG 2725 - DESIGN FOR INJURY PREVENTION  

Tissue engineering/Biomaterials:

BIOENG 2370 - COMPUTATIONAL SIMULATION IN MEDICAL DEVICE DESIGN  

BIOENG 2810 - BIOMATERIALS & BIOCOMPATIBILITY  

Medical Imaging:

BIOENG 2630 - METHODS IN IMAGE ANALYSIS  

Mechanical Engineering/Civil Engineering:

CEN (CMU) 12775 - FINITE ELEMENTS IN MECHANICS

ME 2003 - INTRODUCTION TO CONTINUUM MECHANICS  

ME 2027 - ADVANCED DYNAMICS  

ME 2045 - LINEAR CONTROL SYSTEMS  

 ME 2047 - FINITE ELEMENT ANALYSIS  

ME 2062 - ORTHOPAEDIC ENGINEERING  

ME 2074 - ADVANCED FLUID MECHANICS 1  

Math:

BIOST 2049 - APPLIED REGRESSION ANALYSIS  

MATH 2070 - NUMERCL METH IN SCI COMPUTING 1  

MATH 2071 - NUMERCL MATH IN SCI COMPUTING 2  

MATH 2090 - NUMERICAL SOLUTN ORDNRY DE  

MATH 2370 - MATRICES AND LINEAR OPERATORS  

MATH 2371 - MATRICES & LINEAR OPERATORS 2  

MATH 3380 - MATHEMATICAL BIOLOGY  

MATH 2500 - ALGEBRA 1  

MATH 2800 - DIFFERENTIAL GEOMETRY 1  

MATH 2801 - DIFFERENTIAL GEOMETRY 2  

MATH 2950 - METHODS IN APPLIED MATHEMATICS   

MATH 3071 - NUMRC SOLUTN PARTL DIFFT EQUA  

MATH 3072 - FINITE ELEMENT METHOD  

MATH 3370 - MATHEMATICAL NEUROSCIENCE  

MATH 2601 - ADVANCED SCIENTIFIC COMPUTING 1  

MATH 2602 - ADVANCED SCIENTIFIC COMPUTING 2  

MATH 2603 - ADVANCED SCIENTIFIC COMPUTING 3  

MATH 2604 - ADVANCED SCIENTIFIC COMPUTING 4  

MATH 2900 - PARTIAL DIFFERENTIAL EQUATIONS 1  

MATH 2901 - PARTIAL DIFFERENTIAL EQUATIONS 2  

MATH 2920 - ORDINARY DIFFERENTIAL EQUATNS 1  

MATH 2921 - ORDINARY DIFFERENTIAL EQUATNS 2  

ME 2001 - DIFFERENTIAL EQUATIONS  

ME 2002 - LINEAR AND COMPLEX ANALYSIS  

STAT 2220 - APPLIED REGRESSION  

STAT 2661 - LINEAR MODELS THEORY 1  

Electrical Engineering/Information Science:

ECE 2646 - LINEAR SYSTEM THEORY  

ECE 2671 - OPTIMIZATION METHODS  

ECE 3650 - OPTIMAL CONTROL  

ECE 2521 - ANALYSIS STOCHASTIC PROCESSES  

ECE 2523 - DIGITAL SIGNAL PROCESSING  

ECE 3526 - MODERN SPECTRAL ESTIMATION  

ECE 3528 - TIME-FREQUENCY SIGNAL ANALYSIS  

INFSCI 2350 - HUMAN FACTORS IN SYSTEMS  

School of Health and Rehabilitation Sciences:

HRS 2867 - PATHOKIN ORTHOPADC/ATHL INJURIES  

HRS 3705 - WHEELCHAIR BIOMECHANICS  

HRS 3897 - LAB TECHNIQUES SPORTS MEDICINE 2  

HRS 3898 - LAB TECHNIQUES SPORTS MEDICINE 1  

CMU Robotics:

CMU ROBOTICS INSTITUTE 16-711 - KINEMATICS, DYNAMIC SYSTEMS AND CONTROL

CMU ROBOTICS INSTITUTE 16-720 - COMPUTER VISION

CMU ROBOTICS INSTITUTE 16-721 - ADVANCED PERCEPTION

CMU ROBOTICS INSTITUTE 16-722 - SENSING AND SENSORS

CMU ROBOTICS INSTITUTE 16-741 - MECHANICS OF MANIPULATION

CMU ROBOTICS INSTITUTE 16-811 - MATHEMATICAL FUNDAMENTALS FOR ROBOTICS

CMU ROBOTICS INSTITUTE 16-862 - INTRODUCTION TO MOBILE ROBOT PROGRAMMING

CMU ROBOTICS INSTITUTE 16-684 - ROBOTIC MANIPULATION

CMU ROBOTICS INSTITUTE 16-701 - MACHINE LEARNING