EE 290N. Nonlinear Modeling and Analysis for Biological Systems
This course studies dynamical models used in biology and introduces the nonlinear systems methods necessary for their analysis. The first part presents fundamental nonlinear concepts with illustrations on population growth and nerve-conduction models. The second part studies models for chemical kinetics and derives reduced-order equations for enzymatic reactions based on time-scale separation concepts. These kinetic models are then used to motivate bi-stability and oscillations. The third part of the course presents partial differential equation models with emphasis on reaction-diffusion systems. The fourth part introduces the notions of monotone systems and passivity for the qualitative study of biochemical reaction networks.