Course Description
Mathematical and computation techniques for dynamic modeling of physiological and pharmacologic systems across multiple scales from intracellular to tissue to organ level. Lectures provide biological background and describe classical and more recent models. Hands-on exercises in Matlab are used to develop skills in generating, analyzing, and utilizing systems models.
Athena Title
Syst Mode of Phys and Pharm
Prerequisite
MATH 2700
Semester Course Offered
Offered spring
Grading System
A - F (Traditional)
Course Objectives
This course is designed for master's and Ph.D. students who are interested in developing skills and expertise in the area of systems physiology and pharmacology. At the conclusion of the course, students should be able to: 1) Implement a mathematical model of a simple physiological system. 2) Construct a simple pharmacokinetic and pharmacodynamic model. 3) Analyze and evaluate model behavior. 4) Understand how to combine literature data and parameter estimation techniques to identify a model. 5) Perform simulations and analyses using a systems model. 6) Comprehend the consequences and understand some methods for accounting for variability and uncertainty in model parameters.
Topical Outline
Introduction to the systems biology toolbox: - Simbiology in Matlab - Enzyme kinetics, modeling Michaelis-Menten relationships Working with large datasets Pharmacokinetic models (1 compartment and 2 compartment models) Pharmacodynamic models (indirect response models) Cellular models: - Tyson cell model Tissue-level models: - Tumor growth model - CML model Systems physiology models: - Diabetes (glucose-insulin dynamics) models - Renal and cardiovascular transport models Systems pharmacology models: - Modeling pharmacology of CML - Modeling pharmacology of diabetes Dealing with uncertainty and variability in modeling.