Genomes: At the edge of chaos with maximum information capacity

Author:

Kong Sing-Guan1,Chen Hong-Da2,Torda Andrew3,Lee H. C.24

Affiliation:

1. Department of Mechatronics and Biomedical Engineering, Universiti Tunku Abdul Rahman, 43000 Kajang, Selangor, Malaysia

2. Department of Physics, Chung Yuan Christian University, Zhongli, Taoyuan City 32023, R. O. C. Taiwan

3. Center for Bioinformatics, University of Hamburg, Hamburg, Germany

4. Department of Biomedical Sciences and Engineering, National Central University, Zhongli, Taoyuan City 32001, R. O. C. Taiwan

Abstract

We propose an order index, [Formula: see text], which quantifies the notion of “life at the edge of chaos” when applied to genome sequences. It maps genomes to a number from 0 (random and of infinite length) to 1 (fully ordered) and applies regardless of sequence length and base composition. The 786 complete genomic sequences in GenBank were found to have [Formula: see text] values in a very narrow range, 0.037 ± 0.027. We show this implies that genomes are halfway towards being completely random, namely, at the edge of chaos. We argue that this narrow range represents the neighborhood of a fixed-point in the space of sequences, and genomes are driven there by the dynamics of a robust, predominantly neutral evolution process.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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