Nonnegative linear elimination for chemical reaction networks

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Nonnegative linear elimination for chemical reaction networks. / Sáez, Meritxell; Wiuf, Carsten; Feliu, Elisenda.

I: SIAM Journal on Applied Mathematics, Bind 79, Nr. 6, 2019, s. 2434-2455.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Sáez, M, Wiuf, C & Feliu, E 2019, 'Nonnegative linear elimination for chemical reaction networks', SIAM Journal on Applied Mathematics, bind 79, nr. 6, s. 2434-2455. https://doi.org/10.1137/18M1197692

APA

Sáez, M., Wiuf, C., & Feliu, E. (2019). Nonnegative linear elimination for chemical reaction networks. SIAM Journal on Applied Mathematics, 79(6), 2434-2455. https://doi.org/10.1137/18M1197692

Vancouver

Sáez M, Wiuf C, Feliu E. Nonnegative linear elimination for chemical reaction networks. SIAM Journal on Applied Mathematics. 2019;79(6):2434-2455. https://doi.org/10.1137/18M1197692

Author

Sáez, Meritxell ; Wiuf, Carsten ; Feliu, Elisenda. / Nonnegative linear elimination for chemical reaction networks. I: SIAM Journal on Applied Mathematics. 2019 ; Bind 79, Nr. 6. s. 2434-2455.

Bibtex

@article{b4cc47acc4684baa882dd4cb932387e2,
title = "Nonnegative linear elimination for chemical reaction networks",
abstract = "We consider linear elimination of variables in the steady state equations of a chem- ical reaction network. Particular subsets of variables corresponding to sets of so-called reactant- noninteracting species, are introduced. The steady state equations for the variables in such a set, taken together with potential linear conservation laws in the variables, define a linear system of equa- tions. We give conditions that guarantee that the solution to this system is nonnegative, provided it is unique. The results are framed in terms of spanning forests of a particular multidigraph derived from the reaction network and thereby conditions for uniqueness and nonnegativity of a solution are derived by means of the multidigraph. Though our motivation comes from applications in systems biology, the results have general applicability in applied sciences.",
keywords = "Elimination, Linear system, Noninteracting, Positive solution, Spanning forest",
author = "Meritxell S{\'a}ez and Carsten Wiuf and Elisenda Feliu",
year = "2019",
doi = "10.1137/18M1197692",
language = "English",
volume = "79",
pages = "2434--2455",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics",
number = "6",

}

RIS

TY - JOUR

T1 - Nonnegative linear elimination for chemical reaction networks

AU - Sáez, Meritxell

AU - Wiuf, Carsten

AU - Feliu, Elisenda

PY - 2019

Y1 - 2019

N2 - We consider linear elimination of variables in the steady state equations of a chem- ical reaction network. Particular subsets of variables corresponding to sets of so-called reactant- noninteracting species, are introduced. The steady state equations for the variables in such a set, taken together with potential linear conservation laws in the variables, define a linear system of equa- tions. We give conditions that guarantee that the solution to this system is nonnegative, provided it is unique. The results are framed in terms of spanning forests of a particular multidigraph derived from the reaction network and thereby conditions for uniqueness and nonnegativity of a solution are derived by means of the multidigraph. Though our motivation comes from applications in systems biology, the results have general applicability in applied sciences.

AB - We consider linear elimination of variables in the steady state equations of a chem- ical reaction network. Particular subsets of variables corresponding to sets of so-called reactant- noninteracting species, are introduced. The steady state equations for the variables in such a set, taken together with potential linear conservation laws in the variables, define a linear system of equa- tions. We give conditions that guarantee that the solution to this system is nonnegative, provided it is unique. The results are framed in terms of spanning forests of a particular multidigraph derived from the reaction network and thereby conditions for uniqueness and nonnegativity of a solution are derived by means of the multidigraph. Though our motivation comes from applications in systems biology, the results have general applicability in applied sciences.

KW - Elimination

KW - Linear system

KW - Noninteracting

KW - Positive solution

KW - Spanning forest

UR - http://www.scopus.com/inward/record.url?scp=85076903982&partnerID=8YFLogxK

U2 - 10.1137/18M1197692

DO - 10.1137/18M1197692

M3 - Journal article

AN - SCOPUS:85076903982

VL - 79

SP - 2434

EP - 2455

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 6

ER -

ID: 233656511