The information capacity of hypercycles

JOURNAL OF THEORETICAL BIOLOGY

卷:254

Article

Silvestre, Daniel A. M. M.¹  Fontanari, Jose F.¹ 

[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP, Brazil

关键词: Prebiotic evolution;    Error threshold;    Template coexistence;    Periodic orbits;   

DOI  :  10.1016/j.jtbi.2008.07.023

来源: Elsevier

【 摘 要 】

Hypercycles are information integration systems which are thought to overcome the information crisis of prebiotic evolution by ensuring the coexistence of several short templates. For imperfect template replication, we derive a simple expression for the maximum number of distinct templates n(m). that can coexist in a hypercycle and show that it is a decreasing function of the length L of the templates. In the case of high replication accuracy we find that the product n(m)L tends to a constant value, limiting thus the information content of the hypercycle. Template coexistence is achieved either as a stationary equilibrium (stable fixed point) or a stable periodic orbit in which the total concentration of functional templates is nonzero. For the hypercycle system studied here we find numerical evidence that the existence of an unstable fixed point is a necessary condition for the presence of periodic orbits. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free