Communication: Limitations of the stochastic quasi-steady-state approximation in open biochemical reaction networks

Philipp Thomas; Arthur V. Straube; Ramon Grima

doi:10.1063/1.3661156

Communication: Limitations of the stochastic quasi-steady-state approximation in open biochemical reaction networks

The Journal of Chemical Physics ◽

10.1063/1.3661156 ◽

2011 ◽

Vol 135 (18) ◽

pp. 181103 ◽

Cited By ~ 39

Author(s):

Philipp Thomas ◽

Arthur V. Straube ◽

Ramon Grima

Keyword(s):

Steady State ◽

Biochemical Reaction ◽

Reaction Networks ◽

Quasi Steady State ◽

Biochemical Reaction Networks ◽

State Approximation ◽

Steady State Approximation

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Quasi-steady-state approximation in the mathematical modeling of biochemical reaction networks

Mathematical Biosciences ◽

10.1016/0025-5564(83)90058-5 ◽

1983 ◽

Vol 65 (2) ◽

pp. 155-170 ◽

Cited By ~ 60

Author(s):

M. Schauer ◽

R. Heinrich

Keyword(s):

Mathematical Modeling ◽

Steady State ◽

Biochemical Reaction ◽

Reaction Networks ◽

Quasi Steady State ◽

Biochemical Reaction Networks ◽

State Approximation ◽

Steady State Approximation

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An equation-free probabilistic steady-state approximation: Dynamic application to the stochastic simulation of biochemical reaction networks

The Journal of Chemical Physics ◽

10.1063/1.2131050 ◽

2005 ◽

Vol 123 (21) ◽

pp. 214106 ◽

Cited By ~ 52

Author(s):

Howard Salis ◽

Yiannis N. Kaznessis

Keyword(s):

Steady State ◽

Stochastic Simulation ◽

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks ◽

State Approximation ◽

Steady State Approximation

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Quasi-steady-state approximation for chemical reaction networks

Journal of Mathematical Biology ◽

10.1007/s002850050116 ◽

1998 ◽

Vol 36 (6) ◽

pp. 593-609 ◽

Cited By ~ 25

Author(s):

Matthias Stiefenhofer

Keyword(s):

Steady State ◽

Chemical Reaction ◽

Chemical Reaction Networks ◽

Reaction Networks ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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The Quasi-Steady-State Approximation: Numerical Validation

Journal of Chemical Education ◽

10.1021/ed075p1158 ◽

1998 ◽

Vol 75 (9) ◽

pp. 1158 ◽

Cited By ~ 3

Author(s):

Richard A. B. Bond ◽

Bice S. Martincigh ◽

Janusz R. Mika ◽

Reuben H. Simoyi

Keyword(s):

Steady State ◽

Quasi Steady State ◽

Numerical Validation ◽

State Approximation ◽

Steady State Approximation

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Erratum to “Zero-order ultrasensitivity: A study of criticality and fluctuations under the total quasi-steady state approximation in the linear noise regime” [J. Theor. Biol. 344 (2014) 1–11]

Journal of Theoretical Biology ◽

10.1016/j.jtbi.2014.02.018 ◽

2014 ◽

Vol 350 ◽

pp. 111

Author(s):

P.K. Jithinraj ◽

Ushasi Roy ◽

Manoj Gopalakrishnan

Keyword(s):

Steady State ◽

Zero Order ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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Revisiting the quasi-steady state approximation for modeling heat transport during directional crystal growth. The growth rate can and should be calculated!

Journal of Crystal Growth ◽

10.1016/s0022-0248(03)01154-0 ◽

2003 ◽

Vol 254 (1-2) ◽

pp. 267-278 ◽

Cited By ~ 6

Author(s):

Alexander Virozub ◽

Simon Brandon

Keyword(s):

Growth Rate ◽

Crystal Growth ◽

Steady State ◽

Heat Transport ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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Determining Elementary Modes of Functioning in Biochemical Reaction Networks at Steady State

Biomedical and Life Physics ◽

10.1007/978-3-322-85017-1_9 ◽

1996 ◽

pp. 101-114 ◽

Cited By ~ 5

Author(s):

S. Schuster ◽

C. Hilgetag ◽

R. Schuster

Keyword(s):

Steady State ◽

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks ◽

Elementary Modes

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The Legitimacy of the Quasi-Steady State Approximation in Enzyme Kinetics: A Singular Perturbation Approach

Nonlinear Phenomena in Chemical Dynamics - Springer Series in Synergetics ◽

10.1007/978-3-642-81778-6_47 ◽

1981 ◽

pp. 260-260

Author(s):

G. Fritzsch ◽

M. S. Seshadri

Keyword(s):

Steady State ◽

Singular Perturbation ◽

Enzyme Kinetics ◽

Perturbation Approach ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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On the validity of the quasi-steady state approximation of bimolecular reactions in solution

Journal of Theoretical Biology ◽

10.1016/j.jtbi.2004.10.013 ◽

2005 ◽

Vol 233 (3) ◽

pp. 343-350 ◽

Cited By ~ 18

Author(s):

A. Rami Tzafriri ◽

Elazer R. Edelman

Keyword(s):

Steady State ◽

Quasi Steady State ◽

Bimolecular Reactions ◽

State Approximation ◽

Steady State Approximation

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Singular perturbation refinement to quasi-steady state approximation in chemical kinetics

Chemical Engineering Science ◽

10.1016/0009-2509(63)85003-4 ◽

1963 ◽

Vol 18 (3) ◽

pp. 177-188 ◽

Cited By ~ 88

Author(s):

J.R. Bowen ◽

A. Acrivos ◽

A.K. Oppenheim

Keyword(s):

Steady State ◽

Singular Perturbation ◽

Chemical Kinetics ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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