A multi-time-scale analysis of chemical reaction networks: I. Deterministic systems
نویسندگان
چکیده
منابع مشابه
A multi-time-scale analysis of chemical reaction networks: I. Deterministic systems.
We consider deterministic descriptions of reaction networks in which different reactions occur on at least two distinct time scales. We show that when a certain Jacobian is nonsingular there is a coordinate system in which the evolution equations for slow and fast variables are separated, and we obtain the appropriate initial conditions for the transformed system. We also discuss topological pr...
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We consider stochastic descriptions of chemical reaction networks in which there are both fast and slow reactions, and for which the time scales are widely separated. We develop a computational algorithm that produces the generator of the full chemical master equation for arbitrary systems, and show how to obtain a reduced equation that governs the evolution on the slow time scale. This is done...
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We study the structural simplification of chemical reaction networks preserving the deterministic kinetics. We aim at finding simplification rules that can eliminate intermediate molecules while preserving the dynamics of all others. The rules should be valid even though the network is plugged into a bigger context. An example is Michaelis-Menten’s simplification rule for enzymatic reactions. I...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2009
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-009-0269-4