Reference : Mass conserved elementary kinetics is sufficient for the existence of a non-equilibri...
Scientific journals : Article
Life sciences : Multidisciplinary, general & others
http://hdl.handle.net/10993/13055
Mass conserved elementary kinetics is sufficient for the existence of a non-equilibrium steady state concentration.
English
Fleming, Ronan MT mailto [> >]
Thiele, Ines mailto [> >]
2012
Journal of Theoretical Biology
314
173-181
Yes (verified by ORBilu)
0022-5193
1095-8541
England
[en] Anaerobiosis ; Enzymes/metabolism ; Glycolysis ; Kinetics ; Models, Biological ; Molecular Weight ; Thermodynamics ; Trypanosoma brucei brucei/metabolism
[en] Living systems are forced away from thermodynamic equilibrium by exchange of mass and energy with their environment. In order to model a biochemical reaction network in a non-equilibrium state one requires a mathematical formulation to mimic this forcing. We provide a general formulation to force an arbitrary large kinetic model in a manner that is still consistent with the existence of a non-equilibrium steady state. We can guarantee the existence of a non-equilibrium steady state assuming only two conditions; that every reaction is mass balanced and that continuous kinetic reaction rate laws never lead to a negative molecule concentration. These conditions can be verified in polynomial time and are flexible enough to permit one to force a system away from equilibrium. With expository biochemical examples we show how reversible, mass balanced perpetual reaction(s), with thermodynamically infeasible kinetic parameters, can be used to perpetually force various kinetic models in a manner consistent with the existence of a steady state. Easily testable existence conditions are foundational for efforts to reliably compute non-equilibrium steady states in genome-scale biochemical kinetic models.
http://hdl.handle.net/10993/13055
10.1016/j.jtbi.2012.08.021
Copyright (c) 2012 Elsevier Ltd. All rights reserved.

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