• Introduction to the modelling of nonlinear dynamic systems• Introduction to the modelling of stochastic processes• Introduction to biochemical reaction networks• Introduction to mathematical modelling• Skills to translate a given (biological) problem into a mathematical representation• Skills to analyse the steady-state properties of the system with various mathematical methods• Skills to analyse the dynamics of a system
Zentrale Empfehlungen:• A script is provided.Erg¨anzende Empfehlungen:• A reading list is provided at the beginning of the course.Sonstiges:A script and/or copies of the presentations are provided.
This course is an introduction to the interdisciplinary research field of systemsbiology; combining systems theory with applications to biological systems.Using experimental data and information from biological databases, systemsbiology investigates networks of biochemical reactions that are underlyingthe functioning of living cells and disease mechanisms. This courseintroduces basic techniques for mathematical modelling and computationalsimulations of nonlinear dynamic systems. While the mathematics isof a general nature, dealing with basic stochastic and differential equationmodels of dynamic systems, we introduce applications and case studiesfrom modern life sciences.Inhalte• Biochemical reaction networks• Systems theory• Experimental data generation• Modelling biochemical reactions• Stochastic modeling and simulation• Nonlinear dynamics• Pathway modelling• Dynamic motifs and modules• Feedback, regulation and control• Tools and databases