Metabolic network dynamics in open chaotic flow.
We have analyzed the dynamics of metabolically coupled replicators in open chaotic flows. Replicators contribute to a common metabolism producing energy-rich monomers necessary for replication. The flow and the biological processes take place on a rectangular grid. There can be at most one molecule on each grid cell, and replication can occur only at localities where all the necessary replicators (metabolic enzymes) are present within a certain neighborhood distance. Due to this finite metabolic neighborhood size and imperfect mixing along the fractal filaments produced by the flow, replicators can coexist in this fluid system, even though coexistence is impossible in the mean-field approximation of the model. We have shown numerically that coexistence mainly depends on the metabolic neighborhood size, the kinetic parameters, and the number of replicators coupled through metabolism. Selfish parasite replicators cannot destroy the system of coexisting metabolic replicators, but they frequently remain persistent in the system. (c) 2002 American Institute of Physics.
Karolyi
Gyorgy
G
Program in Applied Mathematics, University of Arizona, 617 North Santa Rita, Tucson, Arizona 85721Department of Structural Mechanics, Budapest University of Technology and Economics, Muegyetem rkp. 3, H-1521 Budapest, Hungary.
Scheuring
Istvan
I
Czaran
Tamas
T