4 citations · 7 across the 7 of their papers we have counts for
7 papers
Grid-free stochastic simulations of reaction-diffusion processes at cell-cell contacts
Thorsten Prüstel, Martin Meier-Schellersheim
Biological cells can exchange messages through soluble molecules or membrane-bound receptors. In particular in the latter case, the interaction is usually located in specific regio…
Stochastic single-particle based simulations of cellular signaling embedded into computational models of cellular morphology
Thorsten Prüstel, Martin Meier-Schellersheim
Cells exhibit a wide variety of different shapes. This diversity poses a challenge for computational approaches that attempt to shed light on the role cell geometry plays in regula…
Solution to the one-dimensional telegrapher's equation subject to a backreaction boundary condition
Thorsten Prüstel, Martin Meier-Schellersheim
We discuss solutions of the one-dimensional telegrapher's equation in the presence of boundary conditions. We revisit the case of a radiation boundary condition and obtain an alter…
Non-Markovian reversible diffusion-influenced reactions in two dimensions
Thorsten Prüstel, Martin Meier-Schellersheim
We investigate the reversible diffusion-influenced reaction of an isolated pair in the presence of a non-Markovian generalization of the backreaction boundary condition in two spac…
Note on an integral expression for the average lifetime of the bound state in 2D
Thorsten Prustel, Martin Meier-Schellersheim
Recently, an exact Green's function of the diffusion equation for a pair of spherical interacting particles in two dimensions subject to a backreaction boundary condition was used…
Coarse-Grained Stochastic Particle-based Reaction-Diffusion Simulation Algorithm
Thorsten Prüstel, Martin Meier-Schellersheim
In recent years, several particle-based stochastic simulation algorithms (PSSA) have been developed to study the spatially resolved dynamics of biochemical networks at a molecular…