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