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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:
BIOENG 2067 - MUSCULOSKELETAL BIOMECHANICS
BIOENG 2633 - BIOMECHANICS 4: BIOMECHANICS OF ORGANS, TISSUES, AND CELLS
BIOENG 2675 - FINITE ELASTICITY OF SOFT TISSUES
Required courses for the biodynamics/rehab sub-track option:
BIOENG 2632 - BIOMECHANICS 3: BIODYNAMICS OF MOVEMENT
BIOENG 2633 - BIOMECHANICS 4: BIOMECHANICS OF ORGANS, TISSUES, AND CELLS
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
BIOENG 2065 - INTRO TO CELL MECHANOBIOLOGY
Cardiovascular:
BIOENG 2515 - CARDIO SYSTM DYNAMICS & MODELING
BIOENG 3025 - VASC BIOMECH & ROLE IN PATHOBIOL
Human Movement/Rehabilitation:
BIOENG 2035 - BIOMECHANICAL MODELING OF MOVEMENT
BIOENG 2061 - ERGONOMICS & OCCUPTNL BIOMECHNC
BIOENG 2650 - LEARNING & CONTROL OF MOVEMENT
BIOENG 2703 - REHABILITATION ENGINEERING DSGN
BIOENG 2704 - FUNDMS REHAB ENGR AND TECHN 1
BIOENG 2709 - REHABILITATION BIOMECHANICS
BIOENG 2725 - DESIGN FOR INJURY PREVENTION
Tissue engineering/Biomaterials
BIOENG 2370 - COMPUTATIONAL SIMULATION IN MEDICAL DEVICE DESIGN
BIOENG 2810 - BIOMATERIALS & BIOCOMPATIBILITY
BIOENG 3015 - SCAFFOLDS FOR REGENERATIVE MEDICINE
Medical Imaging
BIOENG 2380 - MEDICAL IMAGING SYSTEMS 1
BIOENG 2382 - MEDICAL IMAGING SYSTEMS 2
BIOENG 2630 - METHODS IN IMAGE ANALYSIS
Mechanical Engineering/Civil Engineering
CEN 12775 Finite Elements in Mechanics (CMU)
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
ME 2080 - INTRO MICROELECTROMECHANICAL SYS
ME 3011 - FINITE ELASTICITY
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 2960 - COMPUTATIONAL FLUID MECHANICS
MATH 3070 - NUMRC SOLUTN NONLINEAR EQUATIONS
MATH 3071 - NUMRC SOLUTN PARTL DIFFT EQUA
MATH 3072 - FINITE ELEMENT METHOD
MATH 3075 - PARALLEL FINITE ELEMENT METHODS
MATH 3370 - MATHEMATICAL NEUROSCIENCE
MATH 3920 - NONLINEAR METH DIFFERNTL EQUATN
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 3648 - NON-LINEAR SYSTEM THEORY
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 2710 - FUNCT NEUROMUSCULAR STIMULATION
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
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