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Symmetry-based model reduction for approximate stochastic analysis

Kirill Batmanov 1, * Celine Kuttler 1 François Lemaire 2 Cédric Lhoussaine 1 Cristian Versari 1
* Corresponding author
1 BioComputing - Programming Languages for Biological Modeling and Simulation
LIFL - Laboratoire d'Informatique Fondamentale de Lille
2 CALFOR - Calcul Formel
LIFL - Laboratoire d'Informatique Fondamentale de Lille
Abstract : For models of cell-to-cell communication, with many reactions and species per cell, the computational cost of stochastic simulation soon becomes intractable. Deterministic methods, while computationally more efficient, may fail to contribute reliable approximations for those models. In this paper, we suggest a reduction for models of cell-to-cell communication, based on symmetries of the underlying reaction network. To carry out a stochastic analysis that otherwise comes at an excessive computational cost, we apply a moment closure (MC) approach. We illustrate with a community effect, that allows synchronization of a group of cells in animal development. Comparing the results of stochastic simulation with deterministic and MC approximation, we show the assets of our approach. The reduction presented here is potentially applicable to a broad range of highly regular systems.
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Submitted on : Wednesday, July 25, 2012 - 12:13:31 PM
Last modification on : Wednesday, January 13, 2021 - 4:24:02 PM
Long-term archiving on: : Thursday, December 15, 2016 - 7:52:52 PM

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  • HAL Id : hal-00713386, version 1

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Kirill Batmanov, Celine Kuttler, François Lemaire, Cédric Lhoussaine, Cristian Versari. Symmetry-based model reduction for approximate stochastic analysis. Computational Methods in Systems Biology 2012 (CMSB 2012), Oct 2012, London, United Kingdom. pp.49-68. ⟨hal-00713386⟩

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