Model reduction by extended quasi-steady-state approximation

2000 ◽  
Vol 40 (5) ◽  
pp. 443-450 ◽  
Author(s):  
Klaus R. Schneider ◽  
Thomas Wilhelm
Keyword(s):  
Steady State ◽  
Model Reduction ◽  
Quasi Steady State ◽  
State Approximation ◽  
Steady State Approximation

scholarly journals An automated model reduction tool to guide the design and analysis of synthetic biological circuits

2019 ◽  
Author(s):  
Ayush Pandey ◽  
Richard M. Murray
Keyword(s):  
Steady State ◽  
Model Reduction ◽  
Parametric Uncertainties ◽  
Quasi Steady State ◽  
Reduction Algorithm ◽  
Robust Performance ◽  
State Approximation ◽  
Steady State Approximation ◽  
Cell Strains ◽  
Biological Circuits

AbstractWe present an automated model reduction algorithm that uses quasi-steady state approximation based reduction to minimize the error between the desired outputs. Additionally, the algorithm minimizes the sensitivity of the error with respect to parameters to ensure robust performance of the reduced model in the presence of parametric uncertainties. We develop the theory for this model reduction algorithm and present the implementation of the algorithm that can be used to perform model reduction of given SBML models. To demonstrate the utility of this algorithm, we consider the design of a synthetic biological circuit to control the population density and composition of a consortium consisting of two different cell strains. We show how the model reduction algorithm can be used to guide the design and analysis of this circuit.

The Quasi-Steady-State Approximation: Numerical Validation

1998 ◽  
Vol 75 (9) ◽  
pp. 1158 ◽  
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

Practical error analysis of the quasi-steady-state approximation

2000 ◽  
Vol 23 (2) ◽  
pp. 129-151
Author(s):  
R.A.B. Bond ◽  
J.R. Mika ◽  
B.S. Martincigh ◽  
Reuben H. Simoyi
Keyword(s):  
Steady State ◽  
Error Analysis ◽  
Quasi Steady State ◽  
State Approximation ◽  
Steady State Approximation

The total quasi-steady-state approximation for complex enzyme reactions

2008 ◽  
Vol 79 (4) ◽  
pp. 1010-1019 ◽  
Author(s):  
Morten Gram Pedersen ◽  
Alberto M. Bersani ◽  
Enrico Bersani ◽  
Giuliana Cortese
Keyword(s):  
Steady State ◽  
Quasi Steady State ◽  
Enzyme Reactions ◽  
State Approximation ◽  
Steady State Approximation
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