ArticleBulletin of mathematical biology2014
Stochastic analysis of reaction-diffusion processes.
Article in Bulletin of mathematical biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- A Multiscale Computational Architecture to Study Signaling Dynamics at Cell-Cell Interfaces.bioRxiv : the preprint server for biology · 2026Article
- Review
- Multiscale Stochastic Reaction-Diffusion Algorithms Combining Markov Chain Models with Stochastic Partial Differential Equations.Bulletin of mathematical biology · 2019Article
- A multi-time-scale analysis of chemical reaction networks: II. Stochastic systems.Journal of mathematical biology · 2016Article
- A hybrid continuous-discrete method for stochastic reaction-diffusion processes.Royal Society open science · 2016Article
- Constant-complexity stochastic simulation algorithm with optimal binning.The Journal of chemical physics · 2015Article
- Editorial: special issue on stochastic modelling of reaction-diffusion processes in biology.Bulletin of mathematical biology · 2014Article
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Authors and funding
3 authors.
Funding
Abstract
Reaction and diffusion processes are used to model chemical and biological processes over a wide range of spatial and temporal scales. Several routes to the diffusion process at various levels of description in time and space are discussed and the master equation for spatially discretized systems involving reaction and diffusion is developed. We discuss an estimator for the appropriate compartment size for simulating reaction-diffusion systems and introduce a measure of fluctuations in a discretized system. We then describe a new computational algorithm for implementing a modified Gillespie method for compartmental systems in which reactions are aggregated into equivalence classes and computational cells are searched via an optimized tree structure. Finally, we discuss several examples that illustrate the issues that have to be addressed in general systems.
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