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Expansion of the master equation for a biomolecular selection model

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Abstract

A stochastic model based on Eigen and Schuster's theory of biomolecular self-replication is studied by treating the master equation with the system-size expansion technique. The steady-state results are found to be in good agreement with the previous results and with those derived from the principle of detailed balancing. Multispecies competition and coexistence are studied carefully with the conclusions that a stable steady state is predicted for the former and a metastable state for the latter. The stochastic selection processes are also analyzed and discussed.

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Authors and Affiliations

  1. Physics Department, National Central University, 320, Chung-li, Taiwan, Republic of China

    H. K. Leung

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  1. H. K. Leung
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Leung, H.K. Expansion of the master equation for a biomolecular selection model. Bltn Mathcal Biology 47, 231–238 (1985). https://doi.org/10.1007/BF02460033

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  • DOI: https://doi.org/10.1007/BF02460033

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