Sequence selection by dynamical symmetry breaking in an autocatalytic binary polymer model

Harold Fellermann, Shinpei Tanaka, and Steen Rasmussen
Phys. Rev. E 96, 062407 – Published 13 December 2017

Abstract

Template-directed replication of nucleic acids is at the essence of all living beings and a major milestone for any origin of life scenario. We present an idealized model of prebiotic sequence replication, where binary polymers act as templates for their autocatalytic replication, thereby serving as each others reactants and products in an intertwined molecular ecology. Our model demonstrates how autocatalysis alters the qualitative and quantitative system dynamics in counterintuitive ways. Most notably, numerical simulations reveal a very strong intrinsic selection mechanism that favors the appearance of a few population structures with highly ordered and repetitive sequence patterns when starting from a pool of monomers. We demonstrate both analytically and through simulation how this “selection of the dullest” is caused by continued symmetry breaking through random fluctuations in the transient dynamics that are amplified by autocatalysis and eventually propagate to the population level. The impact of these observations on related prebiotic mathematical models is discussed.

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  • Received 15 August 2017

DOI:https://doi.org/10.1103/PhysRevE.96.062407

©2017 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsPolymers & Soft MatterInterdisciplinary PhysicsNonlinear Dynamics

Authors & Affiliations

Harold Fellermann*

  • Interdisciplinary Computing and Complex Biosystem Research Group, School of Computing, Newcastle University, 1 Science Square, Newcastle upon Tyne, NE4 5TG, United Kingdom

Shinpei Tanaka

  • Graduate School of Integrated Arts and Sciences, Hiroshima University, 1-7-1 Kagamiyama, Higashi-Hiroshima 739-8521, Japan

Steen Rasmussen

  • Center for Fundamental Living Technology (FLinT) Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark and Santa Fe Institute, 1399 Hyde Park Rd, Santa Fe, New Mexico 87501, USA

  • *harold.fellermann@newcastle.ac.uk

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Vol. 96, Iss. 6 — December 2017

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