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BME 631/5310-Advanced Biomaterials

This class covers modeling of the nonlinear biomaterials properties and processes using both ordinary and partial differential equations; blood-biomaterials interactions; host immune responses to biomaterials; micro and nanoscale biomaterials and their biomedical applications; and applications of biomaterials for both soft and hard tissue engineering and regeneration.

BMEN 390-Thermodynamics and Kinetics in Biomolecular Systems

This class covers the fundamental principles of thermodynamics and kinetics (including the 4 laws of thermodynamics and experimental kinetic theory) and their applications in understanding the chemical, phase, and electrochemical equilibrium and kinetics in biomolecular systems. Students will learn how to quantify the changes of energy, enthalpy, entropy, free energy, and various potentials between different states in various biomolecular systems using the fundamental principles. Special topics on the application of thermodynamics and kinetics in modern nano and biotechnology will be covered as well.

BMEN 710-Modeling and Simulation of Biomedical Systems

This class covers the establishment of governing equations together with various boundary and initial conditions for analyzing the biophysical and biochemical phenomena in various biomedical systems and processes. Depending on the specific problems considered, the governing equation can be first or second order ordinary differential equations (ODEs), a group of ODEs, or partial differential equations (PDEs). The class also covers both analytical and numerical methods that can be used to solve the mathematical models. Sample Matlab codes of both the numerical and analytical solutions to example problems discussed in class will be provided to students for further modification to solve homework and project problems.

EMCH 360-Fluid Mechanics

This class covers the fundamental principles of fluid flow and important fluid properties (e.g., viscosity, compressibility, and surface tension). Students will learn how to use conservation principles (i.e., mass, momentum, energy including Bernoulli and work-energy in both the integral and differential format) to analyze a variety of problems in fluid statics and dynamics. Students will also learn how to use dimensional analysis and similitude for rational design of experiments and analysis of experimental data involving fluid flow. The basic concepts of boundary layer and turbulent vs. laminar flows are introduced in this class as well.