I am interested in modelling, analysis and simulation of high dimensional dynamical systems arising in different areas of life sciences, for example
Conformation Dynamics
- meshfree methods
- sampling techniques for an efficient computation of the stationary density
- analysis of metastable, nearly reversible Markov chains with
transition states
- spectral clustering (PCCA+)
Mathematical Systems Biology
- modelling of metabolic and regulatory networks
- mathematical pharmacology
- parameter identification and uncertainty quantification
Molecular Quantum Dynamics
- particle methods
- solution of high dimensional integrals by Monte Carlo quadrature