Goals: The students get a basic understanding of advanced mathematical concepts and methods in numerics, statistics, and optimization in the context of current research in bioinformatics and systems biology. They are able to choose problem-specific methods, to apply them in practice, and to evaluate the quality of the results.

Contents: The course will address topics from the following areas:

• Numerics
  • Modeling chemical reaction networks
  • Differential equation modeling
  • Parameter identification, sensitivity, identifiability
• Optimization
  • Linear optimization (Simplex, polyhedra)
  • Integer linear optimization (branch-and-bound, branch-and-cut)
  • Local search and metaheuristics
• Statistics
  • Testing and regression
  • Classification
  • Bootstrap and model evaluation