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Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions

Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_e1abb44e611b4cda96423f11ce3a6539

Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions

About this item

Full title

Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions

Publisher

United States: AIMS Press

Journal title

Mathematical biosciences and engineering : MBE, 2023, Vol.20 (3), p.4322-4352

Language

English

Formats

Publication information

Publisher

United States: AIMS Press

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Scope and Contents

Contents

The Togashi Kaneko model (TK model) is a simple stochastic reaction network that displays discreteness-induced transitions between meta-stable patterns. Here we study a constrained Langevin approximation (CLA) of this model. This CLA, derived under the classical scaling, is an obliquely reflected diffusion process on the positive orthant and hence...

Alternative Titles

Full title

Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions

Authors, Artists and Contributors

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Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_e1abb44e611b4cda96423f11ce3a6539

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_e1abb44e611b4cda96423f11ce3a6539

Other Identifiers

ISSN

1551-0018

E-ISSN

1551-0018

DOI

10.3934/mbe.2023201

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