,
pages 137-147
The Status of the QSSA Approximation in Stochastic Simulations of Reaction Networks
Publication type: Book Chapter
Publication date: 2020-04-07
Abstract
Stochastic models of chemical reactions are needed in many contexts in which the copy numbers of species are low, but only the simplest models can be treated analytically. However, direct simulation of computational models for systems with many components can be very time-consuming, and approximate methods are frequently used. One method that has been used in systems with multiple time scales is to approximate the fast dynamics, and in this note we study one such approach, in which the deterministic QSSH is used for the fast variables and the result used in the rate equations for the slow variables. We examine the classical Michaelis-Menten kinetics using this approach to determine when it is applicable.
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Bobadilla A. V. P. et al. The Status of the QSSA Approximation in Stochastic Simulations of Reaction Networks // MATRIX Book Series. 2020. pp. 137-147.
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Bobadilla A. V. P., Bartmanski B. J., Grima R., OTHMER H. G. The Status of the QSSA Approximation in Stochastic Simulations of Reaction Networks // MATRIX Book Series. 2020. pp. 137-147.
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TY - GENERIC
DO - 10.1007/978-3-030-38230-8_10
UR - https://doi.org/10.1007/978-3-030-38230-8_10
TI - The Status of the QSSA Approximation in Stochastic Simulations of Reaction Networks
T2 - MATRIX Book Series
AU - Bobadilla, Ana Victoria Ponce
AU - Bartmanski, Bartosz Jan
AU - Grima, Ramon
AU - OTHMER, HANS G.
PY - 2020
DA - 2020/04/07
PB - Springer Nature
SP - 137-147
SN - 2523-3041
SN - 2523-305X
ER -
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@incollection{2020_Bobadilla,
author = {Ana Victoria Ponce Bobadilla and Bartosz Jan Bartmanski and Ramon Grima and HANS G. OTHMER},
title = {The Status of the QSSA Approximation in Stochastic Simulations of Reaction Networks},
publisher = {Springer Nature},
year = {2020},
pages = {137--147},
month = {apr}
}