Track Coordinator: Richard Debski (
genesis1@pitt.edu )
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 2633
Biomechanics 4: Biomechanics of Organs, Tissues, and Cells
BIOENG 2675
Finite Elasticity of Soft Tissues
BIOENG 2067 Musculoskeletal
Biomechanics
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:
1) BIOENG 2067 Musculoskeletal Biomechanics
2) 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 Introduction to cell mechanobiology
Cardiovascular
BIOENG 2310 Hemodynamics and Biotransport
BIOENG 2515 Cardiovascular system - dynamics and modeling
BIOENG 3025
Vascular Biomechanics and its role in pathobiology
Human
Movement/Rehabilitation
BIOENG 2035 Biomechanical modeling of
movement
BIOENG 2061 Ergonomics and Occupational Biomechanics
BIOENG 2703 Rehabilitation Engineering Design
BIOENG 2704 Fundamentals
of Rehabilitation Engineering and Technology I
BIOENG 2709 Rehabilitation
Biomechanics
BIOENG 2650 Human Motor Learning and Motor Control
BIOENG 2725 Design for Injury Prevention
Tissue
engineering/Biomaterials
BIOENG 2072 Functional Tissue Engineering:
Biomechanics of Engineered tissues
BIOENG 2370 Computational Simulation in Medical Device Design
BIOENG 2810 Biomaterials and
Biocompatibility
BIOENG 3015 Scaffolds for Regenerative Medicine
Medical Imaging
BIOENG 2380 Medical Imaging Systems I
BIOENG 2382 Medical Imaging Systems II
BIOENG 2630 Methods in Image
Analysis
Mechanical Engineering/Civil Engineering
CEN
12775 Finite Elements in Mechanics (CMU)
ME 2003 Continuum Mechanics
ME 2027 Advanced Dynamics
ME 2045 Linear Control systems
ME
2047 Finite Element Analysis
ME 2062 Orthopedic Biomechanics
ME
2074 Advanced Fluid Dynamics I
ME 2080 Introduction to MEMS
ME
3011 Non-linear elasticity
Math
BIOST 2049 Applied
Regression Analysis
Math 2070 Numerical methods in scientific computing
1
Math 2071 Numerical methods in scientific computing 2
Math 2370
Matrices and linear operators 1
Math 2371 Matrices and linear operators
2
Math 3380 Mathematics in Molecular Biology
Math 2090 Numerical
Solution of ODEs
Math 2500 Algebra 1
Math 2800 Differential
Geometry 1
Math 2801 Differential Geometry 2
Math 2950 Methods in
Applied Math
Math 2960 Computational Fluid Mechanics
Math 3070
Numerical solution of non-linear systems
Math 3071 Numerical solution of
PDEs
Math 3072 The finite element method
Math 3075 Parallel Finite
Element Method
Math 3370 Computational Models in Neurobiology
Math
3920 Non-linear methods in differential equations
Math 2601-2604 Advanced
Scientific Computing 1-4
Math 2900-01 PDEs 1 and 2
Math 2920-21
ODEs 1 and 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 Nonlinear systems theory
ECE 3650 Optimal control
ECE
2521 Analysis of stochastic processes
ECE 2523 Digital signal
processing
ECE 2526 Modern spectral estimation
ECE 3528
Time-frequency signal analysis
INFSCI 2350 Human Factors In Systems
School of Health and Rehabilitation Sciences
SHRS 2710
Functional Neuromuscular Stimulation
SHRS 2867 Pathokinesiology of
Orthopedic and Athletic Injuries
SHRS 3705 Wheelchair Biomechanics
SHRS 3897 Laboratory Techniques in Sports Medicine I
SHRS 3898
Laboratory Techniques in Sports Medicine II
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