MATHEMATICS OF SELF-ORGANISATION IN CELL SYSTEMS
 
 
 
by Steffen Härting
by Moritz Mercker
by Moritz Mercker
by Steffen Härting
Compact Course

Introduction to Modelling in Biosciences with Differential equations

Who: Dr. Alexandra Köthe
When: 16.2.-20.2. 2015, 9.30 - 13.00 Uhr
Where: INF 294, HS 134
Abstract
The aim of this compact course is an introduction to modelling of biological and biochemical processes using ordinary (ode) and partial differential equations (pde). We will learn what kind of processes can be modelled by differential equations and which assumptions are necessary. Moreover, we will learn methods for the analysis of such models and apply them to some important examples. Abstract results like existence theorems will be stated, but we will not prove them.
Target Group
Students of any level with interest in modelling. We assume a basic knowledge of analysis and linear algebra. Knowledge about odes might be useful, but is not necessary.
Program
  1. Introduction
  2. Modelling using odes
    • The law of mass action
    • Michaelis-Menten kinetics
    • Examples: The logistic equation, Lotka-Volterra equations
    • Steady states and linearization of nonlinear models
  3. Modelling using pdes
    • Reaction-diffusion equations
    • Pattern formation with the Turing mechanism
    • Reaction-diffusion-ode-models
    • Structured population models
Please register for the course on the homepage of the HGS.