Polynomial superlevel set representation of the multistationarity region of chemical reaction networks-Reference-Cited by-同舟云学术

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

Published:2022-09-27 Issue:1 Volume:23 Page:
ISSN:1471-2105
Container-title:BMC Bioinformatics
language:en
Short-container-title:BMC Bioinformatics

Author:

Sadeghimanesh AmirHosein,England Matthew

Abstract

AbstractIn 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.

Funder

Research Councils UK

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,Molecular Biology,Biochemistry,Structural Biology

Link

https://link.springer.com/content/pdf/10.1186/s12859-022-04921-6.pdf

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