Introduction to mechanics: statics and dynamics, free body diagrams, and bodies in contact. Vectors and tensors; stresses, theory of deformation, and constitutive equations. Equations of motion. Biomechanics design examples. Prerequisites: MATH 20D, MATH 20E or MATH 31CH, MATH 20F or MATH 31AH; PHYS 2C, or consent of department. (F)
Physical concepts of behavior of heart, large blood vessels, vascular beds in major organs and the microcirculation. Physical and physiological principles of blood flow, blood pressure, cardiac work, electrophysiology of the heart. Special vascular beds, including their biological and hemodynamic importance. Integration through nervous and humoral controls. Prerequisites: BENG 230B or consent of instructor.
Biomechanics of living tissues with emphasis on mechanical properties of major tissues and organs. Foundations of viscoelasticity. Field equations and stress analysis of living tissues. Bioengineering and medical design examples. Prerequisites: BENG 110 or consent of department. (W)
Introduction of the foundations of engineering by teaching the mathematical methods that describe the engineering principles. Analytical and numerical approaches to solving the equations. Prerequisites: graduate standing in bioengineering or consent of instructor. (F)
Exposure to bioengineering research through attendance of graduate student seminars followed by faculty-mediated discussion. Writing seminar summaries, graduate student shadowing, articulating long-term goals, and planning an academic trajectory.
System dynamics and frequency-domain analysis in bioengineering systems. Topics include population models, predator-prey models, metabolic networks, biological oscillation, dynamics of infectious diseases.
Continuum mechanics of cells, tissues and organs. Statics and force balances; stress, strain and constitutive relations; equilibrium, universal solutions and inflation; finite deformation; nonlinear problems; finite element methods.