Biological modeling with ordinary differential equations: the principle of mass balance, mass action rule, scaling and nondimensionalisation, one-component models (Michaelis-Menten kinetics, gene autoregulation), multi-component models (biological switches, oscillators, epidemiology). Modeling with differential equations with delay. Models with spatial component: the reaction-diffusion systems, the spread of epidemics, pattern formation. Stochastic models: probability balance equation, Gillespie simulation algorithm, stochastic models of gene expression.
Type of methodology: Combination of lecture and hands-on
Participants receive the certificate of attendance: Yes
Paid training activity for participants: Yes, for all
Participants prerequisite knowledge: Numerical methods (linear algebra, statistics); Domain-specific background knowledge