A model explaining the size distribution of gene and protein families

Mathematical Biosciences

Volumn 189, Issue 1, 2004, Pages 97-102

  Reed, William J ^a   Hughes, Barry D ^b  

^a UNIVERSITY OF VICTORIA   (Canada)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Asymptotic methods; Birth and death process; Power law distribution; Yule model

Indexed keywords

MATHEMATICAL MODELS; PROTEINS;

EVOLUTIONARY MODELS; MATHEMATICAL BIOSCIENCES;

GENES;

GENOME; MODEL; PROTEIN;

ARTICLE; GENOME; MATHEMATICAL MODEL; MOLECULAR EVOLUTION; MULTIGENE FAMILY; PROTEIN FAMILY;

ALGORITHMS; COMPUTER SIMULATION; CYTOCHROME P-450 ENZYME SYSTEM; DATABASES, GENETIC; EVOLUTION, MOLECULAR; GENES; GENOME; MODELS, GENETIC; MUTATION; PROTEINS; STATISTICAL DISTRIBUTIONS;

EID: 1642340045     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2003.11.002     Document Type: Article

References (7)

1. J.S. Bader, Evolutionary implications of a power-law distribution of protein family sizes, http://arxiv.org/abs/physics/9908032
2. Bailey N.T.J. The Elements of Stochastic Processes. 1964;Wiley, New York.
3. Bak P., Tang C., Wiesenfeld K. Self-organized criticality: an explanation of. 1/f noise Phys. Rev. Lett. 59:1987;381.
4. Huynen M.A., van Nimwegen E. The frequency distribution of gene family sizes in complete genomes. Mol. Biol. Evol. 15:1998;583.
5. Reed W.J., Hughes B.D. On the size distribution of live genera. J. Theor. Biol. 217:2002;125.
6. Reed W.J., Hughes B.D. From gene families and genera to incomes and internet file sizes: why power-laws are so common in nature. Phys. Rev. E. 65:2002;067103.
7. Yule G.U. A mathematical theory of evolution, based on the conclusions of Dr. J.C. Willis, F.R.S. Philos. Trans. Roy. Soc. London B. 213:1924;21.