Consistency principle in biological dynamical systems |
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| Authors: | Kunihiko Kaneko Chikara Furusawa |
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| Institution: | (1) Department of Basic Science, University of Tokyo, 3-8-1 Komaba, Tokyo 153-8902, Japan;(2) Department of Bioinformatics Engineering, Osaka University, 2-1 Yamadaoka, Osaka 565-0871, Japan;(3) ERATO Complex Systems Biology Project, JST, 3-8-1 Komaba, Tokyo 153-8902, Japan |
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| Abstract: | We propose a principle of consistency between different hierarchical levels of biological systems. Given a consistency between
molecule replication and cell reproduction, universal statistical laws on cellular chemical abundances are derived and confirmed
experimentally. They include a power law distribution of gene expressions, a lognormal distribution of cellular chemical abundances
over cells, and embedding of the power law into the network connectivity distribution. Second, given a consistency between
genotype and phenotype, a general relationship between phenotype fluctuations by genetic variation and isogenic phenotypic
fluctuation by developmental noise is derived. Third, we discuss the chaos mechanism for stem cell differentiation with autonomous
regulation, resulting from a consistency between cell reproduction and growth of the cell ensemble.
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