A Deficiency-Based Approach to Parametrizing Positive Equilibria of Biochemical Reaction Systems

Matthew D. Johnston; Stefan Müller; Casian Pantea

doi:10.1007/s11538-018-00562-0

A Deficiency-Based Approach to Parametrizing Positive Equilibria of Biochemical Reaction Systems

Bulletin of Mathematical Biology ◽

10.1007/s11538-018-00562-0 ◽

2018 ◽

Vol 81 (4) ◽

pp. 1143-1172 ◽

Cited By ~ 2

Author(s):

Matthew D. Johnston ◽

Stefan Müller ◽

Casian Pantea

Keyword(s):

Biochemical Reaction ◽

Reaction Systems

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Decomposition of biochemical reaction systems according to flux control insusceptibility

Journal de Chimie Physique ◽

10.1051/jcp/1992891887 ◽

1992 ◽

Vol 89 ◽

pp. 1887-1910 ◽

Cited By ~ 12

Author(s):

S Schuster ◽

R Schuster

Keyword(s):

Biochemical Reaction ◽

Flux Control ◽

Reaction Systems

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Corrigendum for “Modelling biochemical reaction systems by stochastic differential equations with reflection”

Journal of Theoretical Biology ◽

10.1016/j.jtbi.2016.03.023 ◽

2016 ◽

Vol 396 ◽

pp. 207-209

Author(s):

Yuanling Niu ◽

Kevin Burrage ◽

Luonan Chen

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Biochemical Reaction ◽

Reaction Systems

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Optimal pH Control in Sequential Biochemical Reaction Systems via Generating a pH Gradient Across an Immobilized Enzyme Film

Biofunctional Membranes ◽

10.1007/978-1-4757-2521-6_12 ◽

1996 ◽

pp. 173-191 ◽

Cited By ~ 1

Author(s):

G. Chen ◽

J. P. Byers ◽

R. L. Fournier ◽

S. Varanasi

Keyword(s):

Immobilized Enzyme ◽

Ph Control ◽

Ph Gradient ◽

Biochemical Reaction ◽

Reaction Systems ◽

Optimal Ph

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Thermodynamic calculations of biochemical reaction systems at specified pH, pMg, and change in binding of hydrogen and magnesium ions

Asia-Pacific Journal of Chemical Engineering ◽

10.1002/apj.2205 ◽

2018 ◽

Vol 13 (4) ◽

pp. e2205

Author(s):

Tamil Elakkiya Rajendran ◽

Thenmozhi Muthukumarasamy

Keyword(s):

Biochemical Reaction ◽

Thermodynamic Calculations ◽

Magnesium Ions ◽

Reaction Systems

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The Response of Biochemical Reaction Systems to Oscillating Stimuli

ACS Symposium Series - Biological Effects of Nonionizing Radiation ◽

10.1021/bk-1981-0157.ch014 ◽

1981 ◽

pp. 243-254 ◽

Cited By ~ 1

Author(s):

L. K. KACZMAREK

Keyword(s):

Biochemical Reaction ◽

Reaction Systems

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Levels of thermodynamic treatment of biochemical reaction systems

Biophysical Journal ◽

10.1016/s0006-3495(93)81146-9 ◽

1993 ◽

Vol 65 (3) ◽

pp. 1243-1254 ◽

Cited By ~ 14

Author(s):

R.A. Alberty

Keyword(s):

Biochemical Reaction ◽

Reaction Systems

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Rapid-equilibrium Approximation applied to mathematical models of Tracer dynamics in biochemical reaction systems

Mathematical and Computer Modelling ◽

10.1016/0895-7177(94)90196-1 ◽

1994 ◽

Vol 19 (6-8) ◽

pp. 241-253

Author(s):

R. Schuster ◽

H.-G. Holzhütter

Keyword(s):

Mathematical Models ◽

Biochemical Reaction ◽

Reaction Systems ◽

Rapid Equilibrium

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Use of convex analysis for the modelling of biochemical reaction systems

System Modelling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0035485 ◽

1994 ◽

pp. 365-374

Author(s):

Stefan Schuster ◽

Thomas Höfer ◽

Claus Hilgetag ◽

Ronny Schuster

Keyword(s):

Convex Analysis ◽

Biochemical Reaction ◽

Reaction Systems

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Calculation of Equilibrium Compositions of Biochemical Reaction Systems Involving Water as a Reactant

The Journal of Physical Chemistry B ◽

10.1021/jp003515l ◽

2001 ◽

Vol 105 (5) ◽

pp. 1109-1114 ◽

Cited By ~ 8

Author(s):

Robert A. Alberty

Keyword(s):

Biochemical Reaction ◽

Reaction Systems

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Lumping analysis of biochemical reaction systems with time scale separation

Biotechnology and Bioengineering ◽

10.1002/bit.260310815 ◽

1988 ◽

Vol 31 (8) ◽

pp. 869-879 ◽

Cited By ~ 29

Author(s):

James C. Liao ◽

Edwin N. Lightfoot

Keyword(s):

Time Scale ◽

Biochemical Reaction ◽

Scale Separation ◽

Reaction Systems ◽

Time Scale Separation ◽

Lumping Analysis

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