Rate theory for driven complex biosystems: stochastic modelling and computer simulations

This project deals with new concepts for modeling and simulation of two cross-disciplinary aspects of complex rate dynamics. The main objective is the study of rate-dominated processes as they occur for firing in single or ensembles of excitable neurons and for translocation of biomolecules (such as DNA, polymers, charged molecules, ions) through and towards nanopores, nanotubes and ion-channels. These systems are typically driven by explicitly time-dependent, noise-activated nonlinear escape events. A characteristic feature for all those complex processes is the presence of multiple time-scales. The work is focussed on the role of intrinsically or externally provided time-dependent forcing (via voltages or electric fields). This non-stationary manipulation promises the control of driven escape dynamics, and the characterization of crucial transport quantifiers.