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On the relation between fluctuation and response in biological systems.

Katsuhiko Sato1, Yoichiro Ito, Tetsuya Yomo

  • 1Department of Pure and Applied Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan.

Proceedings of the National Academy of Sciences of the United States of America
|November 15, 2003
PubMed
Summary

We found a new biological principle linking phenotypic fluctuation to system response, similar to physics' fluctuation-dissipation theorem. This correlation was confirmed in bacteria evolving increased protein fluorescence.

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Area of Science:

  • * Biological systems analysis
  • * Evolutionary biology
  • * Biophysics

Background:

  • * Biological systems exhibit fluctuations (variance) and responses to parameter changes.
  • * The fluctuation-dissipation theorem in physics relates these concepts.
  • * A similar general principle in biology is currently lacking.

Purpose of the Study:

  • * To present a general relationship between fluctuation and response in biological systems.
  • * To propose a biological fluctuation-response theorem.
  • * To experimentally validate this relationship in an evolutionary context.

Main Methods:

  • * Defined fluctuation as variance and response as average change.
  • * Proposed a proportionality between fluctuation and response.

Related Experiment Videos

  • * Conducted an evolution experiment using bacterial protein fluorescence.

    • Main Results:

    • * Observed a positive correlation between the speed of fluorescence evolution and phenotypic fluctuation.
    • * Confirmed the proposed fluctuation-response relationship in bacteria.
    • * Demonstrated the principle in an evolutionary experiment.

    Conclusions:

    • * A general fluctuation-response relationship exists in biological systems.
    • * This principle is relevant to understanding evolutionary processes.
    • * The findings offer a new perspective analogous to the fluctuation-dissipation theorem.