BIOE 5115: Dynamical Systems in Biological Engineering
Lecture - 4 credits
- Introduces the theoretical analysis and modeling of dynamical systems in biology, ranging from molecular to population applications.
- Topics include difference and differential equation models, with basic theory including nondimensionalization, steady states, linearization, stability, eigenvalues, global behavior, singular perturbations, multistability, hysteresis, cooperativity, periodic solutions, excitable systems, bifurcations; and an introduction to spatial (PDE) models.
- Develops all concepts in the context of concrete biological applications, such as gene regulation; chemical reaction networks and stoichiometry; drug models and PK/PD; receptor/ligand interactions; synthetic constructs; action potential generation; enzymatic reactions; population interactions; epidemiology; epigenetic phenomena, including differentiation and transport; chemotaxis; and diffusion.
Introduces the theoretical analysis and modeling of dynamical systems in biology, ranging from molecular to population applications. Show more.