Multi-grid reaction-diffusion master equation: applications to morphogen gradient modelling

R Erban, S Winkelmann - Bulletin of Mathematical Biology, 2025 - Springer
The multi-grid reaction-diffusion master equation (mgRDME) provides a generalization of
stochastic compartment-based reaction-diffusion modelling described by the standard …

Stochastic approximations of higher-molecular by bi-molecular reactions

T Plesa - Journal of Mathematical Biology, 2023 - Springer
Reactions involving three or more reactants, called higher-molecular reactions, play an
important role in mathematical modelling in systems and synthetic biology. In particular …

Stochastic approximations of higher-molecular by bi-molecular reactions

T Plesa - arXiv preprint arXiv:1811.02766, 2018 - arxiv.org
Biochemical reactions involving three or more reactants, called higher-molecular reactions,
play an important role in theoretical systems and synthetic biology. In particular, such …

Stochastic Modeling and Simulation of Multiscale Biochemical Systems

M Chen - 2019 - vtechworks.lib.vt.edu
Numerous challenges arise in modeling and simulation as biochemical networks are
discovered with increasing complexities and unknown mechanisms. With the improvement …