Variable elimination in chemical reaction networks with mass-action kinetics

Research output: Contribution to journal › Journal article › Research › peer-review

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Variable elimination in chemical reaction networks with mass-action kinetics. / Feliu, Elisenda; Wiuf, C.

In: S I A M Journal on Applied Mathematics, Vol. 72, No. 4, 2012, p. 959–981.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Feliu, E & Wiuf, C 2012, 'Variable elimination in chemical reaction networks with mass-action kinetics', S I A M Journal on Applied Mathematics, vol. 72, no. 4, pp. 959–981. <http://epubs.siam.org/doi/abs/10.1137/110847305>

APA

Feliu, E., & Wiuf, C. (2012). Variable elimination in chemical reaction networks with mass-action kinetics. S I A M Journal on Applied Mathematics, 72(4), 959–981. http://epubs.siam.org/doi/abs/10.1137/110847305

Vancouver

Feliu E, Wiuf C. Variable elimination in chemical reaction networks with mass-action kinetics. S I A M Journal on Applied Mathematics. 2012;72(4):959–981.

Author

Feliu, Elisenda ; Wiuf, C. / Variable elimination in chemical reaction networks with mass-action kinetics. In: S I A M Journal on Applied Mathematics. 2012 ; Vol. 72, No. 4. pp. 959–981.

Bibtex

@article{05791280927e4995b16f893c5da0e147,
title = "Variable elimination in chemical reaction networks with mass-action kinetics",
abstract = "We consider chemical reaction networks taken with mass-action kinetics. The steady states of such a system are solutions to a system of polynomial equations. Even for small systems the task of finding the solutions is daunting. We develop an algebraic framework and procedure for linear elimination of variables. The procedure reduces the variables in the system to a set of “core” variables by eliminating variables corresponding to a set of noninteracting species. The steady states are parameterized algebraically by the core variables, and a graphical condition is given that ensures that a steady state with positive core variables necessarily takes positive values for all variables. Further, we characterize graphically the sets of eliminated variables that are constrained by a conservation law and show that this conservation law takes a specific form.Read More: http://epubs.siam.org/doi/abs/10.1137/110847305",
author = "Elisenda Feliu and C. Wiuf",
year = "2012",
language = "English",
volume = "72",
pages = "959–981",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics",
number = "4",

}

RIS

TY - JOUR

T1 - Variable elimination in chemical reaction networks with mass-action kinetics

AU - Feliu, Elisenda

AU - Wiuf, C.

PY - 2012

Y1 - 2012

N2 - We consider chemical reaction networks taken with mass-action kinetics. The steady states of such a system are solutions to a system of polynomial equations. Even for small systems the task of finding the solutions is daunting. We develop an algebraic framework and procedure for linear elimination of variables. The procedure reduces the variables in the system to a set of “core” variables by eliminating variables corresponding to a set of noninteracting species. The steady states are parameterized algebraically by the core variables, and a graphical condition is given that ensures that a steady state with positive core variables necessarily takes positive values for all variables. Further, we characterize graphically the sets of eliminated variables that are constrained by a conservation law and show that this conservation law takes a specific form.Read More: http://epubs.siam.org/doi/abs/10.1137/110847305

AB - We consider chemical reaction networks taken with mass-action kinetics. The steady states of such a system are solutions to a system of polynomial equations. Even for small systems the task of finding the solutions is daunting. We develop an algebraic framework and procedure for linear elimination of variables. The procedure reduces the variables in the system to a set of “core” variables by eliminating variables corresponding to a set of noninteracting species. The steady states are parameterized algebraically by the core variables, and a graphical condition is given that ensures that a steady state with positive core variables necessarily takes positive values for all variables. Further, we characterize graphically the sets of eliminated variables that are constrained by a conservation law and show that this conservation law takes a specific form.Read More: http://epubs.siam.org/doi/abs/10.1137/110847305

M3 - Journal article

VL - 72

SP - 959

EP - 981

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 4

ER -

ID: 40314088