Coupled map network representation of
metabolic pathways
Autores: J.M. Albornoz, A. Parravano
Abstract
We show how a metabolic pathway can be represented
in terms of a globally coupled map network; each
individual node in the network is a modified chaotic
map that models the essential aspects of the catalytic
cycle of a simple enzyme such as substrate binding,
formation of ES complex, product release and enzyme
recovery. The map parameters are defined in terms of
well-known kinetic quantities such as the maximum
velocity of the enzyme and the Michaelis constant;
in large enough arrays the resulting coupled map
network reproduces the dynamics of Michaelis-Menten
and allosteric enzymes, as well of those of
competitive and non-competitive inhibition. In this
way a set of maps represents a specific reaction in
a metabolic pathway; coupling between maps takes
place through the binding and release of intermediate
products. A computer code based on this model is used
to simulate the glycolytic pathway of E. histolytica
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