Consistency principle in biological dynamical systems.

Theory in Biosciences = Theorie in Den Biowissenschaften
Kunihiko Kaneko, Chikara Furusawa

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.

References

Mar 31, 2000·Nature Genetics·A Wagner
Sep 16, 2000·Physical Review Letters·C Furusawa, K Kaneko
Oct 18, 2000·Nature·H JeongA L Barabási
Apr 26, 2001·Journal of Theoretical Biology·C Furusawa, K Kaneko
Mar 14, 2003·Physical Review Letters·Chikara Furusawa, Kunihiko Kaneko
Oct 17, 2003·Nature·Sina GhaemmaghamiJonathan S Weissman
Nov 15, 2003·Proceedings of the National Academy of Sciences of the United States of America·Katsuhiko SatoKunihiko Kaneko
Jan 6, 2004·Science·Siming LiMarc Vidal
Mar 5, 2004·Proceedings of the National Academy of Sciences of the United States of America·Hiroki R UedaMasamitsu Iino
Oct 11, 2005·Journal of Theoretical Biology·Kunihiko Kaneko, Chikara Furusawa
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chikara Furusawa, Kunihiko Kaneko
Jan 16, 2008·PLoS Computational Biology·Chikara Furusawa, Kunihiko Kaneko
Feb 1, 2006·Integrative and Comparative Biology·Douglas L Altshuler, Robert Dudley
Apr 21, 2005·Biophysics·Chikara FurusawaKunihiko Kaneko
Apr 1, 1997·Evolution; International Journal of Organic Evolution·Günter P WagnerHomayoun Bagheri-Chaichian

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