Graduate Courses BIOE 2515

BIOE 2515 - Cardiovascular System Dynamics and Modeling

Instructor: Sanjeev G. Shroff, Ph.D.

Credits: 3

Term: Spring

Description: The mechanical behavior of the cardiovascular system will be explored in a quantitative manner. The goal is to understand the behavior of each component in isolation and the interactions among various components. Methematical modeling will be used with an emphasis on model development, validation, and application. The function of the intact organ will be correlated with underlying structural and cellular processes, both for normal and pathological states. Student projects will use (and contribute to) the existing library of cardiovascular models. Permission by instructor.

Prerequisites: None. However, a working knowledge of a mathematical analysis package (e.g., MatLab or LabView) is desirable.

Required Texts: None.

Course Objectives: There are three major goals of this course:

1. Provide an understanding of quantitative methods for describing the dynamic behavior of biological systems
2. Provide an understanding of building, validating, and using the models of cardiovascular system
3. Provide hands-on experience with analyzing real data from normal and pathological conditions using mathematical models .

Topics Covered: Dynamical systems (linear/nonlinear; time-invariant/time-varying), Models of cardiac and vascular mechanical behavior, Models of cardiac energetic behavior, Quantitative methods for analyzing ventricular-vascular coupling, Model-based interpretation of normal and pathological conditions (relationship between global model-based descriptions and underlying cellular processes), Model-based analysis of cardiac adaptations to mechanical stimuli.

Class/Labratory Schedule: Once or twice a week for a total of 3 hours.