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Dynamics of physicochemical model of selection processes in biomacromolecular systems

V. Kvasnička

Department of Mathematics, Faculty of Chemical Technology, Slovak Technical University, CS-81237 Bratislava


Abstract: Physicochemical models of selection processes on biomacromolecules — replicators are investigated by making use of simple qualitative theory of differential equations. It is assumed that each replicator is self-reproduced (replicated) with a participation of a substrate (energy-rich molecules). The qualitative features of the studied system are very sensitive to the form of rate functions. It is demonstrated that genuine Darwinian selection is sim­ulated by the model only if the rate functions are determined by the mass-action law. A comparison with the original Eigen theory is presented.

Full paper in Portable Document Format: 432a201.pdf


Chemical Papers 43 (2) 201–228 (1989)

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