Zipf's law in gene expression

Physical Review Letters

Volumn 90, Issue 8, 2003, Pages

  Furusawa, Chikara ^a   Kaneko, Kunihiko ^b  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CELL CULTURE; CELLS; COMPOSITION; COMPUTER SIMULATION; DATABASE SYSTEMS; MACROMOLECULES; MATHEMATICAL MODELS; PROTEINS; REACTION KINETICS;

GENE EXPRESSION; POWER LAW DISTRIBUTION; REACTION DYNAMICS; SELF REPRODUCTION; ZIPF LAW;

GENES;

EID: 0037471175     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

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8. The results reported here do not rely on the specific reaction form we adopted. For example, by using bimolecular reactions, i.e., (i + ℓ → j + m), without explicit catalyzation, the power-law distribution of chemical abundance appears in the same manner as presented.
9. Even if the reaction coefficient and diffusion coefficient of penetrating chemicals are not identical but distributed, the results reported here are obtained.
10. The results reported here do not depend on the distribution of path connectivity. The Zipf's law of abundance is still valid for a scale-free network [1] also, i.e., a network with power-law connectivity distribution.
11. The results reported here are robust against the change of the number of nutrient chemical species.
12. i is 0, while a subpopulation of chemical species sustains the intracellular dynamics.
13. c.
14. In the case depicted in Fig. 2, a hierarchical organization of catalytic reactions with 5-6 layers is observed at the critical point.
15. Within a given layer, a further hierarchy exists, which again leads to the Zipf rank distribution. For details, see C. Furusawa and K. Kaneko (to be published).
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