Teaching
BME 538 Engineering numerical analysis and multiscale modeling Heading link
Course Description:
The goal of this course is to teach graduate students or senior undergraduates the fundamentals of numerical analysis and its applications in science and engineering. We will cover numerical interpolation, differentiation, integration, solution methods for initial value and boundary value problems of ordinary differential equations, solution methods for parabolic, hyperbolic, and elliptic partial differential equations. Besides the mathematical foundations, specific biomedical applications such as modeling various microfluidic systems and cell mechanics using software Matlab, COMSOL, and Abaqus will be demonstrated as hands-on tutorials. Advanced multiscale modeling techniques to bridge cellular and molecular scales with organ and tissue scales by coupling molecular dynamics and continuum modeling will be also introduced.
BioE 325 Biotransport Heading link
Course Description:
Basic principles of biotransport, fluid mechanics, and their applications to characterize transport processes in biological system. It includes momentum transport, mass transport, and energy transport.