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Catastrophe modelling in the biological sciences.

M A Deakin1

  • 1Department of Mathematics, Monash University, Clayton, Australia.

Acta Biotheoretica
|March 1, 1990
PubMed
Summary
This summary is machine-generated.

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Catastrophe Theory, a mathematical framework, has struggled in biological applications. Its success in biology requires precisely quantified underlying laws, similar to other applied mathematics.

Area of Science:

  • Mathematical Biology
  • Theoretical Biology

Background:

  • Catastrophe Theory was initially developed for biological sciences.
  • It proposed both conventional physical and novel metaphysical applications rooted in structuralism.

Purpose of the Study:

  • To document and classify existing applications of Catastrophe Theory in biology.
  • To evaluate the realized potential of Catastrophe Theory in biological sciences.

Main Methods:

  • Literature review and classification of studies applying Catastrophe Theory to biology.
  • Analysis of the conditions under which Catastrophe Theory has been successfully applied.

Main Results:

  • Despite initial hopes, Catastrophe Theory's application in biology has not been fully realized.

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  • Successful applications of Catastrophe Theory in biology are limited and require well-defined, quantifiable underlying laws.

    • Conclusions:

    • Applied Catastrophe Theory, like other applied mathematics, is most effective when dealing with systems where underlying laws are rigorously known and quantified.
    • The success of Catastrophe Theory in biology is contingent upon meeting the same mathematical rigor as other scientific disciplines.