A practical guide to stochastic simulations of reaction-diffusion processes
A practical introduction to stochastic modelling of reaction-diffusion processes is presented. No prior knowledge of stochastic simulations is assumed. The methods are explained using illustrative examples. The article starts with the classical Gillespie algorithm for the stochastic modelling of che...
| Main Authors: | , , |
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| Format: | Journal article |
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2007
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| _version_ | 1826303742315593728 |
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| author | Erban, R Chapman, J Maini, P |
| author_facet | Erban, R Chapman, J Maini, P |
| author_sort | Erban, R |
| collection | OXFORD |
| description | A practical introduction to stochastic modelling of reaction-diffusion processes is presented. No prior knowledge of stochastic simulations is assumed. The methods are explained using illustrative examples. The article starts with the classical Gillespie algorithm for the stochastic modelling of chemical reactions. Then stochastic algorithms for modelling molecular diffusion are given. Finally, basic stochastic reaction-diffusion methods are presented. The connections between stochastic simulations and deterministic models are explained and basic mathematical tools (e.g. chemical master equation) are presented. The article concludes with an overview of more advanced methods and problems. |
| first_indexed | 2024-03-07T06:07:20Z |
| format | Journal article |
| id | oxford-uuid:ee4fd1ae-31a5-4ba7-a777-a9711ea88bea |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:07:20Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:ee4fd1ae-31a5-4ba7-a777-a9711ea88bea2022-03-27T11:31:41ZA practical guide to stochastic simulations of reaction-diffusion processesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ee4fd1ae-31a5-4ba7-a777-a9711ea88beaSymplectic Elements at Oxford2007Erban, RChapman, JMaini, PA practical introduction to stochastic modelling of reaction-diffusion processes is presented. No prior knowledge of stochastic simulations is assumed. The methods are explained using illustrative examples. The article starts with the classical Gillespie algorithm for the stochastic modelling of chemical reactions. Then stochastic algorithms for modelling molecular diffusion are given. Finally, basic stochastic reaction-diffusion methods are presented. The connections between stochastic simulations and deterministic models are explained and basic mathematical tools (e.g. chemical master equation) are presented. The article concludes with an overview of more advanced methods and problems. |
| spellingShingle | Erban, R Chapman, J Maini, P A practical guide to stochastic simulations of reaction-diffusion processes |
| title | A practical guide to stochastic simulations of reaction-diffusion
processes |
| title_full | A practical guide to stochastic simulations of reaction-diffusion
processes |
| title_fullStr | A practical guide to stochastic simulations of reaction-diffusion
processes |
| title_full_unstemmed | A practical guide to stochastic simulations of reaction-diffusion
processes |
| title_short | A practical guide to stochastic simulations of reaction-diffusion
processes |
| title_sort | practical guide to stochastic simulations of reaction diffusion processes |
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