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PMID: 14615583 Published · ppublish English Journal Article Research Support, Non-U.S. Gov't

On the relation between fluctuation and response in biological systems.

Proceedings of the National Academy of Sciences of the United States of America ·Vol. 100 ·No. 24 ·2003-11-25 ·Pages 14086-90

Sato K, Ito Y, Yomo T, Kaneko K

Abstract

A general relationship between fluctuation and response in a biological system is presented. The fluctuation is given by the variance of some quantity, whereas the response is given as the average change of that quantity for a given parameter change. We propose a relationship where the two are proportional, in a similar way to the fluctuation-dissipation theorem in physics. By studying an evolution experiment where fluorescence of protein in bacteria increases, we confirm our relation by observing a positive correlation between the speed of fluorescence evolution and the phenotypic fluctuation of the fluorescence over clone bacteria. The generality of the relationship as well as its relevance to evolution is discussed.

MeSH Terms

Biological Evolution Biophysical Phenomena Biophysics Directed Molecular Evolution Escherichia coli/genetics,metabolism Green Fluorescent Proteins Luminescent Proteins/genetics,metabolism Models, Biological Mutation Recombinant Proteins/genetics,metabolism

Chemicals

Luminescent Proteins Recombinant Proteins Green Fluorescent Proteins

Authors & Affiliations

4 authors, click to expand affiliations / ORCID

Sato Katsuhiko

Department of Pure and Applied Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan.

Ito Yoichiro

Yomo Tetsuya

Kaneko Kunihiko

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Article Info

Journal

Proceedings of the National Academy of Sciences of the United States of America

Abbr.

Proc Natl Acad Sci U S A

ISSN

0027-8424

DOI

10.1073/pnas.2334996100

Published

2003-11-25

Epub

2003-00-13

Pages

14086-90

Language

English

Region

United States

NLM ID

7505876

PMCID

PMC283550

Subset

Grants

NCIPC CDC HHS · U17 CE002006 · United States

External Links

PubMed source DOI: 10.1073/pnas.2334996100 PMC Full Text View journal details

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On the relation between fluctuation and response in biological systems.

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