Polynomial superlevel set representation of the multistationarity region of chemical reaction networks

In this paper we introduce a new representation for the multistationarity region of a reaction network, using polynomial superlevel sets. The advantages of using this polynomial superlevel set representation over the already existing representations (cylindrical algebraic decompositions, numeric sam...

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Autores principales: Sadeghimanesh, AmirHosein, England, Matthew
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2022
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9513955/
https://www.ncbi.nlm.nih.gov/pubmed/36167486
http://dx.doi.org/10.1186/s12859-022-04921-6
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author Sadeghimanesh, AmirHosein
England, Matthew
author_facet Sadeghimanesh, AmirHosein
England, Matthew
author_sort Sadeghimanesh, AmirHosein
collection PubMed
description In this paper we introduce a new representation for the multistationarity region of a reaction network, using polynomial superlevel sets. The advantages of using this polynomial superlevel set representation over the already existing representations (cylindrical algebraic decompositions, numeric sampling, rectangular divisions) is discussed, and algorithms to compute this new representation are provided. The results are given for the general mathematical formalism of a parametric system of equations and so may be applied to other application domains.
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spelling pubmed-95139552022-09-28 Polynomial superlevel set representation of the multistationarity region of chemical reaction networks Sadeghimanesh, AmirHosein England, Matthew BMC Bioinformatics Research In this paper we introduce a new representation for the multistationarity region of a reaction network, using polynomial superlevel sets. The advantages of using this polynomial superlevel set representation over the already existing representations (cylindrical algebraic decompositions, numeric sampling, rectangular divisions) is discussed, and algorithms to compute this new representation are provided. The results are given for the general mathematical formalism of a parametric system of equations and so may be applied to other application domains. BioMed Central 2022-09-27 /pmc/articles/PMC9513955/ /pubmed/36167486 http://dx.doi.org/10.1186/s12859-022-04921-6 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/ (https://creativecommons.org/publicdomain/zero/1.0/) ) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research
Sadeghimanesh, AmirHosein
England, Matthew
Polynomial superlevel set representation of the multistationarity region of chemical reaction networks
title Polynomial superlevel set representation of the multistationarity region of chemical reaction networks
title_full Polynomial superlevel set representation of the multistationarity region of chemical reaction networks
title_fullStr Polynomial superlevel set representation of the multistationarity region of chemical reaction networks
title_full_unstemmed Polynomial superlevel set representation of the multistationarity region of chemical reaction networks
title_short Polynomial superlevel set representation of the multistationarity region of chemical reaction networks
title_sort polynomial superlevel set representation of the multistationarity region of chemical reaction networks
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9513955/
https://www.ncbi.nlm.nih.gov/pubmed/36167486
http://dx.doi.org/10.1186/s12859-022-04921-6
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