Disguised toric dynamical systems

Institut for Matematiske Fag

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Disguised toric dynamical systems. / Brustenga i Moncusí, Laura; Craciun, Gheorghe; Sorea, Miruna Ştefana.

I: Journal of Pure and Applied Algebra, Bind 226, Nr. 8, 107035, 2022.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Brustenga i Moncusí, L, Craciun, G & Sorea, MŞ 2022, 'Disguised toric dynamical systems', Journal of Pure and Applied Algebra, bind 226, nr. 8, 107035. https://doi.org/10.1016/j.jpaa.2022.107035

APA

Brustenga i Moncusí, L., Craciun, G., & Sorea, M. Ş. (2022). Disguised toric dynamical systems. Journal of Pure and Applied Algebra, 226(8), [107035]. https://doi.org/10.1016/j.jpaa.2022.107035

Vancouver

Brustenga i Moncusí L, Craciun G, Sorea MŞ. Disguised toric dynamical systems. Journal of Pure and Applied Algebra. 2022;226(8). 107035. https://doi.org/10.1016/j.jpaa.2022.107035

Author

Brustenga i Moncusí, Laura ; Craciun, Gheorghe ; Sorea, Miruna Ştefana. / Disguised toric dynamical systems. I: Journal of Pure and Applied Algebra. 2022 ; Bind 226, Nr. 8.

Bibtex

@article{cde8edf05db84f028379209ac2256711,

title = "Disguised toric dynamical systems",

abstract = "We study families of polynomial dynamical systems inspired by biochemical reaction networks. We focus on complex balanced mass-action systems, which have also been called toric. They are known or conjectured to enjoy very strong dynamical properties, such as existence and uniqueness of positive steady states, local and global stability, persistence, and permanence. We consider the class of disguised toric dynamical systems, which contains toric dynamical systems, and to which all dynamical properties mentioned above extend naturally. By means of (real) algebraic geometry we show that some reaction networks have an empty toric locus or a toric locus of Lebesgue measure zero in parameter space, while their disguised toric locus is of positive measure. We also propose some algorithms one can use to detect the disguised toric locus.",

author = "{Brustenga i Moncus{\'i}}, Laura and Gheorghe Craciun and Sorea, {Miruna {\c S}tefana}",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",

year = "2022",

doi = "10.1016/j.jpaa.2022.107035",

language = "English",

volume = "226",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier BV * North-Holland",

number = "8",

}

RIS

TY - JOUR

T1 - Disguised toric dynamical systems

AU - Brustenga i Moncusí, Laura

AU - Craciun, Gheorghe

AU - Sorea, Miruna Ştefana

PY - 2022

Y1 - 2022

N2 - We study families of polynomial dynamical systems inspired by biochemical reaction networks. We focus on complex balanced mass-action systems, which have also been called toric. They are known or conjectured to enjoy very strong dynamical properties, such as existence and uniqueness of positive steady states, local and global stability, persistence, and permanence. We consider the class of disguised toric dynamical systems, which contains toric dynamical systems, and to which all dynamical properties mentioned above extend naturally. By means of (real) algebraic geometry we show that some reaction networks have an empty toric locus or a toric locus of Lebesgue measure zero in parameter space, while their disguised toric locus is of positive measure. We also propose some algorithms one can use to detect the disguised toric locus.

AB - We study families of polynomial dynamical systems inspired by biochemical reaction networks. We focus on complex balanced mass-action systems, which have also been called toric. They are known or conjectured to enjoy very strong dynamical properties, such as existence and uniqueness of positive steady states, local and global stability, persistence, and permanence. We consider the class of disguised toric dynamical systems, which contains toric dynamical systems, and to which all dynamical properties mentioned above extend naturally. By means of (real) algebraic geometry we show that some reaction networks have an empty toric locus or a toric locus of Lebesgue measure zero in parameter space, while their disguised toric locus is of positive measure. We also propose some algorithms one can use to detect the disguised toric locus.

U2 - 10.1016/j.jpaa.2022.107035

DO - 10.1016/j.jpaa.2022.107035

M3 - Journal article

AN - SCOPUS:85124040357

VL - 226

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 8

M1 - 107035

ER -

ID: 342612037