VARIABLE ELIMINATION IN CHEMICAL REACTION NETWORKS WITH MASS-ACTION KINETICS
VARIABLE ELIMINATION IN CHEMICAL REACTION NETWORKS WITH MASS-ACTION KINETICS
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DOI：
10.1137/110847305
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发表时间：
2012-01-01
影响因子：
1.9
通讯作者：
Wiuf, Carsten
中科院分区：
文献类型：
--
作者：
Feliu, Elisenda;Wiuf, Carsten
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.
