TY - JOUR
T1 - Model reduction of multi-scale chemical Langevin equations
AU - Contou-Carrere, Marie Nathalie
AU - Sotiropoulos, Vassilios
AU - Kaznessis, Yiannis N.
AU - Daoutidis, Prodromos
PY - 2011/1
Y1 - 2011/1
N2 - This paper addresses the model reduction problem for a class of stiff chemical Langevin equations that arise as models of biomolecular networks with fast and slow reactions and can be described as continuous Markov processes. Initially, a coordinate transformation is sought that allows the decoupling of fast and slow variables in the model equations. Necessary and sufficient conditions are derived for such a linear transformation to exist, along with an explicit change of variables which achieves the desired decoupling. For the systems for which this step is applicable, the method of adiabatic elimination is applied to determine a representation of the slow dynamics. Theoretical concepts and results are illustrated with simple examples.
AB - This paper addresses the model reduction problem for a class of stiff chemical Langevin equations that arise as models of biomolecular networks with fast and slow reactions and can be described as continuous Markov processes. Initially, a coordinate transformation is sought that allows the decoupling of fast and slow variables in the model equations. Necessary and sufficient conditions are derived for such a linear transformation to exist, along with an explicit change of variables which achieves the desired decoupling. For the systems for which this step is applicable, the method of adiabatic elimination is applied to determine a representation of the slow dynamics. Theoretical concepts and results are illustrated with simple examples.
KW - Chemical Langevin equations
KW - Model reduction
KW - Multiple time scales
KW - Singular perturbations
KW - Stochastic differential equations
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U2 - 10.1016/j.sysconle.2010.10.011
DO - 10.1016/j.sysconle.2010.10.011
M3 - Article
AN - SCOPUS:78651277846
SN - 0167-6911
VL - 60
SP - 75
EP - 86
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 1
ER -