Polynomial superlevel set representation of the multistationarity region of chemical reaction networks
Abstract 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, nu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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BMC
2022-09-01
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| Series: | BMC Bioinformatics |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s12859-022-04921-6 |
| _version_ | 1797998361960251392 |
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| author | AmirHosein Sadeghimanesh Matthew England |
| author_facet | AmirHosein Sadeghimanesh Matthew England |
| author_sort | AmirHosein Sadeghimanesh |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-11T10:47:29Z |
| format | Article |
| id | doaj.art-44b8c120d048471ab06048eba588031c |
| institution | Directory Open Access Journal |
| issn | 1471-2105 |
| language | English |
| last_indexed | 2024-04-11T10:47:29Z |
| publishDate | 2022-09-01 |
| publisher | BMC |
| record_format | Article |
| series | BMC Bioinformatics |
| spelling | doaj.art-44b8c120d048471ab06048eba588031c2022-12-22T04:29:00ZengBMCBMC Bioinformatics1471-21052022-09-0123112610.1186/s12859-022-04921-6Polynomial superlevel set representation of the multistationarity region of chemical reaction networksAmirHosein Sadeghimanesh0Matthew England1Research Centre for Computational Sciences and Mathematical Modelling, Coventry UniversityResearch Centre for Computational Sciences and Mathematical Modelling, Coventry UniversityAbstract 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.https://doi.org/10.1186/s12859-022-04921-6Polynomial superlevel setSteady statesMultistationarityParameter analysis |
| spellingShingle | AmirHosein Sadeghimanesh Matthew England Polynomial superlevel set representation of the multistationarity region of chemical reaction networks BMC Bioinformatics Polynomial superlevel set Steady states Multistationarity Parameter analysis |
| 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 | Polynomial superlevel set Steady states Multistationarity Parameter analysis |
| url | https://doi.org/10.1186/s12859-022-04921-6 |
| work_keys_str_mv | AT amirhoseinsadeghimanesh polynomialsuperlevelsetrepresentationofthemultistationarityregionofchemicalreactionnetworks AT matthewengland polynomialsuperlevelsetrepresentationofthemultistationarityregionofchemicalreactionnetworks |