Journal of Biological Physics

, Volume 13, Issue 4, pp 87–94 | Cite as

Applications of differential geometry to molecular genetics

  • A. M. Findley
  • S. P. McGlynn
  • G. L. Findley


A mathematical formalism is presented in which changes in information content of an evolving DNA (deoxyribonucleic acid) molecule may be described. The basic construct is a 65-dimensional differentiable manifold (the informational space-time manifold) in a coordinate structure such that the manifold points represent (i) the number of each codon type in a DNA molecule, and (ii) the evolutionary time of that DNA. It is shown that this manifold cannot be Euclidean but must be taken, at least conditionally, to be Riemannian. Evolutionary motions in the informational space-time manifold are initially postulated to be geodesics, and evolutionary equations-of-motion are elaborated. These equations are governed by an evolutionary field which is produced by the intrinsic structure of the manifold. The concept of genetic cosmology is introduced, and a manifold in which the evolutionary field is weak and depends only upon the evolutionary time is investigated. The nature of empirical input into genetic cosmology is discussed.


Polymer Manifold Codon Evolutionary Time Information Content 
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Copyright information

© New Forums Press, Inc. 1985

Authors and Affiliations

  • A. M. Findley
    • 1
  • S. P. McGlynn
    • 2
  • G. L. Findley
    • 1
    • 2
  1. 1.Department of ChemistryNew York UniversityNew York
  2. 2.Department of ChemistryLouisiana State UniversityBaton Rouge

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