Multiresolution Modelling of Intracellular Processes

Abstract: Spatio-temporal modelling of biological processes inside living cells relies on mathematical and computational methods that differ in the level of biological detail they capture. In my talk, I will discuss modelling approaches ranging from all-atom molecular dynamics simulations to macroscopic mean-field models described by partial differential equations (PDEs), with intermediate (mesoscopic) approaches including Brownian dynamics and stochastic coarse-grained models. In some cases, rigorous connections between these modelling frameworks can be established by deriving macroscopic descriptions from more detailed models. I will discuss these connections, focusing on the development, analysis, and applications of multiresolution methods that combine detailed (high-resolution) simulations in localized regions of particular interest, where accuracy and microscopic detail are crucial, with coarser macroscopic models elsewhere, where some accuracy can be traded for computational efficiency. I will illustrate these methodologies through applications to intracellular calcium dynamics, actin dynamics, and DNA dynamics.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. Unless stated otherwise, we will meet on Mondays at 15:40 in the lecture hall K3 (2nd floor)