PE 601 - Analysis of Biological Systems

• Thoroughly understand the concepts of pressure, flow, and fluid resistance such that they can manipulate and predict the behavior of physical fluid circuits
• Describe the rheology of blood and what variables affect it
• Be able to solve mass and heat transfer problems involving membrane transport and conduction, respectively
• Set up lumped parameter mathematical models that involve appropriate numbers of known and unknown variables
• Describe the physical meanings of the principle variables that describe the time dependent fluid mechanics of the human heart and the circulation
• Use the ODE Solver in MATLAB to set up and solve mathematical models involving ordinary differential equations

• None 

• Introduction to biophysical transport topics
• Review of calculus
• Pressure and hydrostatics
• The first law of thermodynamics and mechanical energy balance
• Modes of heat transfer and heat conduction analysis
• Passive mass transfer across membranes
• Transport applications in cardiopulmonary bypass: oxygenation and ultrafiltration
• Analysis of heat exchangers and gas exchangers
• Concepts in cardiovascular fluid mechanics
• Flow through tubes
• Introduction to mathematical modeling
• Fluid resistive networks
• The Windkessel model of the human circulation
• Compartmental modeling of drug transport