Directed percolation in a two dimensional stochastic fire-diffuse-fire model
In this paper we establish, from extensive numerical experiments, that the two dimensional stochastic fire-diffuse-fire model belongs to the directed percolation universality class. This model is an idealized model of intracellular calcium release that retains the both the discrete nature of calcium...
| Main Authors: | , |
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| Format: | Article |
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2004
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| Online Access: | https://eprints.nottingham.ac.uk/134/ |
| _version_ | 1848790348471468032 |
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| author | Timofeeva, Yulia Coombes, Stephen |
| author_facet | Timofeeva, Yulia Coombes, Stephen |
| author_sort | Timofeeva, Yulia |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this paper we establish, from extensive numerical experiments, that the two dimensional stochastic fire-diffuse-fire model belongs to the directed percolation universality class. This model is an idealized model of intracellular calcium release that retains the both the discrete nature of calcium stores and the stochastic nature of release. It is formed from an array of noisy threshold elements that are coupled only by a diffusing signal. The model supports spontaneous release events that can merge to form spreading circular and spiral waves of activity. The critical level of noise required for the system to exhibit a non-equilibrium phase-transition between propagating and non-propagating waves is obtained by an examination of the \textit{local slope} $\delta(t)$ of the survival probability, $\Pi(t) \propto \exp(- \delta(t))$, for a wave to propagate for a time $t$. |
| first_indexed | 2025-11-14T18:11:11Z |
| format | Article |
| id | nottingham-134 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:11Z |
| publishDate | 2004 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-1342020-05-04T20:31:09Z https://eprints.nottingham.ac.uk/134/ Directed percolation in a two dimensional stochastic fire-diffuse-fire model Timofeeva, Yulia Coombes, Stephen In this paper we establish, from extensive numerical experiments, that the two dimensional stochastic fire-diffuse-fire model belongs to the directed percolation universality class. This model is an idealized model of intracellular calcium release that retains the both the discrete nature of calcium stores and the stochastic nature of release. It is formed from an array of noisy threshold elements that are coupled only by a diffusing signal. The model supports spontaneous release events that can merge to form spreading circular and spiral waves of activity. The critical level of noise required for the system to exhibit a non-equilibrium phase-transition between propagating and non-propagating waves is obtained by an examination of the \textit{local slope} $\delta(t)$ of the survival probability, $\Pi(t) \propto \exp(- \delta(t))$, for a wave to propagate for a time $t$. 2004-09 Article PeerReviewed Timofeeva, Yulia and Coombes, Stephen (2004) Directed percolation in a two dimensional stochastic fire-diffuse-fire model. directed percolation calcium fire-diffuse-fire |
| spellingShingle | directed percolation calcium fire-diffuse-fire Timofeeva, Yulia Coombes, Stephen Directed percolation in a two dimensional stochastic fire-diffuse-fire model |
| title | Directed percolation in a two dimensional stochastic fire-diffuse-fire model |
| title_full | Directed percolation in a two dimensional stochastic fire-diffuse-fire model |
| title_fullStr | Directed percolation in a two dimensional stochastic fire-diffuse-fire model |
| title_full_unstemmed | Directed percolation in a two dimensional stochastic fire-diffuse-fire model |
| title_short | Directed percolation in a two dimensional stochastic fire-diffuse-fire model |
| title_sort | directed percolation in a two dimensional stochastic fire-diffuse-fire model |
| topic | directed percolation calcium fire-diffuse-fire |
| url | https://eprints.nottingham.ac.uk/134/ |