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A structurally unstable bistable system

Bistability (or more generally multistability, the coexistence of two or more stable steady states in a dynamical system) is an important property of many dynamical systems in biology. It furnishes an explanation for the ability of isogenic cells to present different stable expression profiles. In t...

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Main Authors: Siam, F. M., Grinfeld, M.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2016
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QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/73208/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984542600&doi=10.1063%2f1.4954575&partnerID=40&md5=cdf0786c93924ba5e306eab0489e0797
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spelling my.utm.732082017-11-29T23:58:43Z http://eprints.utm.my/id/eprint/73208/ A structurally unstable bistable system Siam, F. M. Grinfeld, M. QA Mathematics Bistability (or more generally multistability, the coexistence of two or more stable steady states in a dynamical system) is an important property of many dynamical systems in biology. It furnishes an explanation for the ability of isogenic cells to present different stable expression profiles. In this work, we show analytically that the Cdc2-cyclin B/Wee1 system which exhibits bistability when all the protein species are conserved, is not structurally stable when degradation and synthesis of one of the components are taken into account. American Institute of Physics Inc. 2016 Conference or Workshop Item PeerReviewed Siam, F. M. and Grinfeld, M. (2016) A structurally unstable bistable system. In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984542600&doi=10.1063%2f1.4954575&partnerID=40&md5=cdf0786c93924ba5e306eab0489e0797
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Siam, F. M.
Grinfeld, M.
A structurally unstable bistable system
description Bistability (or more generally multistability, the coexistence of two or more stable steady states in a dynamical system) is an important property of many dynamical systems in biology. It furnishes an explanation for the ability of isogenic cells to present different stable expression profiles. In this work, we show analytically that the Cdc2-cyclin B/Wee1 system which exhibits bistability when all the protein species are conserved, is not structurally stable when degradation and synthesis of one of the components are taken into account.
format Conference or Workshop Item
author Siam, F. M.
Grinfeld, M.
author_facet Siam, F. M.
Grinfeld, M.
author_sort Siam, F. M.
title A structurally unstable bistable system
title_short A structurally unstable bistable system
title_full A structurally unstable bistable system
title_fullStr A structurally unstable bistable system
title_full_unstemmed A structurally unstable bistable system
title_sort structurally unstable bistable system
publisher American Institute of Physics Inc.
publishDate 2016
url http://eprints.utm.my/id/eprint/73208/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984542600&doi=10.1063%2f1.4954575&partnerID=40&md5=cdf0786c93924ba5e306eab0489e0797
_version_ 1643656605484449792
score 13.211869

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