The bulletin of mathematical biophysics

, Volume 26, Issue 4, pp 333–349 | Cite as

Dynamical aspects of kinetics

  • Edward H. Kerner
Article
Received:

Abstract

It is shown when and how, and with what advantage, systems of first-order differential equations of the typex i =X i (x 1,...,x n occurring so frequently in biological and chemical kinetic problems and in other places, may be made to stem from a least-action type of variational principle. Linear systems are treated in some detail, and certain aspects of Volterra's ecological kinetics and of chemical kinetics are discussed. Finally, the general conditions are elaborated under which Gibbs ensemble theory may be used in considering systems with large numbers of degrees of freedom from a statistical point of view.

Keywords

Variational Principle Dynamical Aspect Gibbs Ensemble Quantal Route Quadratic Form Versus 
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Copyright information

© The University of Chicago 1964

Authors and Affiliations

  • Edward H. Kerner
    • 1
  1. 1.Department of PhysicsUniversity of DelawareNewark

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