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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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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Multi-objective steady state optimization of biochemical reaction networks using a constrained genetic algorithm

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2007.08.009 ◽

2008 ◽

Vol 32 (8) ◽

pp. 1707-1713 ◽

Cited By ~ 13

Author(s):

Hannes Link ◽

Julio Vera ◽

Dirk Weuster-Botz ◽

Néstor Torres Darias ◽

Ezequiel Franco-Lara

Keyword(s):

Genetic Algorithm ◽

Steady State ◽

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks ◽

Multi Objective

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Algorithmic approaches for computing elementary modes in large biochemical reaction networks

Systems Biology ◽

10.1049/ip-syb:20050035 ◽

2005 ◽

Vol 152 (4) ◽

pp. 249 ◽

Cited By ~ 54

Author(s):

S. Klamt ◽

J. Gagneur ◽

A. von Kamp

Keyword(s):

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks ◽

Elementary Modes ◽

Algorithmic Approaches

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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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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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Identification of alterations in the Jacobian of biochemical reaction networks from steady state covariance data at two conditions

Journal of Mathematical Biology ◽

10.1007/s00285-013-0685-3 ◽

2013 ◽

Vol 68 (7) ◽

pp. 1757-1783 ◽

Cited By ~ 7

Author(s):

Philipp Kügler ◽

Wei Yang

Keyword(s):

Steady State ◽

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks

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A stochastic framework for the design of transient and steady state behavior of biochemical reaction networks

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7402699 ◽

2015 ◽

Cited By ~ 5

Author(s):

Ania A. Baetica ◽

Ye Yuan ◽

Jorge Goncalves ◽

Richard M. Murray

Keyword(s):

Steady State ◽

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks ◽

State Behavior ◽

Stochastic Framework ◽

Steady State Behavior ◽

Transient And Steady State

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Minimal moment equations for stochastic models of biochemical reaction networks with partially finite state space

The Journal of Chemical Physics ◽

10.1063/1.4937937 ◽

2015 ◽

Vol 143 (24) ◽

pp. 244103 ◽

Cited By ~ 3

Author(s):

Jakob Ruess

Keyword(s):

State Space ◽

Stochastic Models ◽

Biochemical Reaction ◽

Reaction Networks ◽

Moment Equations ◽

Biochemical Reaction Networks ◽

Finite State ◽

Finite State Space

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A Dissipative Approach to the Identification of Biochemical Reaction Networks

IFAC Proceedings Volumes ◽

10.3182/20090706-3-fr-2004.00209 ◽

2009 ◽

Vol 42 (10) ◽

pp. 1259-1264

Author(s):

Dirk Fey ◽

Eric Bullinger

Keyword(s):

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks

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Model reduction and parameter estimation of non-linear dynamical biochemical reaction networks

IET Systems Biology ◽

10.1049/iet-syb.2015.0034 ◽

2016 ◽

Vol 10 (1) ◽

pp. 10-16 ◽

Cited By ~ 7

Author(s):

Xiaodian Sun ◽

Mario Medvedovic

Keyword(s):

Parameter Estimation ◽

Model Reduction ◽

Biochemical Reaction ◽

Reaction Networks ◽

Biochemical Reaction Networks ◽

Non Linear

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