In this course we introduce advanced mathematical concepts and methods from optimization, numerics and statistics relevant to current reseach in bioinformatics and systems biology. Topics of interest include:
- Linear optimization (Simplex algorithm, duality)
- Integer linear optimization (branch-and-bound, cutting planes, branch-and-cut)
- Local search and metaheuristics
- Ordinary differential equations (modeling, analysis, sensitivity)
- Linear models and test theory - Classification - Bootstrap and model evaluation
- Markov models (EM, HMM, MCMC)