Objectives: Acquire mathematical tools for modeling and dynamic analysis of biological networks (e.g. genetic, metabolic, or signaling pathways...).
Program: Topics covered include:
1. What can mathematical modeling contribute to biology?
2. How can we model a set of biochemical reactions?
a. Fundamentals of chemical kinetics and enzyme function.
b. Stationary and quasi-stationary states (Michaelis-Menten) Competitive and non-competitive inhibition
c. Multiple equilibria and cooperativity
d. Compartment modeling. Transport and diffusion
3. Model analysis within the “dynamic systems” framework
a. Stability analysis
b. Bifurcation analysis
c. Sensitivity analysis
d. Adjustment of model parameters
4. Biological network dynamics
a. Genetic regulation
b. Signal transduction
c. Metabolic networks
2. How do you model a set of biochemical reactions?
a. Fundamentals of chemical kinetics and enzyme function.
b. Stationary and quasi-stationary states (Michaelis-Menten) Competitive and non-competitive inhibition
c. Multiple equilibria and cooperativity
d. Compartment modeling. Transport and diffusion
3.Model analysis within the “dynamic systems” framework
a.Stability analysis
b.Bifurcation analysis
c.Sensitivity analysis
d.Adjustment of model parameters
4.Biological network dynamics
a.Genetic regulation
b.Signal transduction
c.Metabolic networks
Assessment of knowledge :
Written intermediate test (30%) and written final test (70%).