Abstract
The attention of biologists is directed to the analogy between a metabolizing system and an electrical circuit with feedback and finite time delay. Periodicities can be explained on the basis of linear chemical kinetics and linear differential equations, although the latter are of infinite order.
Literature
Baron, T. 1951. “Dynamical Instability in Flow Systems.”Proc. 1st Midwest Conf. on Fluid Dynamics, 216–25.
Finn, R. K. and R. E. Wilson. 1954. “Population Dynamics of a Continuous Propagator for Microörganisms.”Jour. Ag. and Food Chem. 2, 66–69.
Hearon, J. Z. 1953. “The Kinetics of Linear Systems with Special Reference to Periodic Reactions.”Bull. Math. Biophysics,15, 121–41.
Hinshelwood, C. N. 1946.The Chemical Kinetics of the Bacterial Cell. Oxford: Oxford University Press.
Minorsky, N. 1952. “Self-Excited Oscillations in Dynamical Systems Possessing Retarded Action.”Appl. Mechanics,9, A65–71.
Smith, F. E. 1952. “Experimental Methods in Population Dynamics: A Critique.”Ecology,33, 441–50.
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Finn, R.K. Accounting for periodicities in biology. Bulletin of Mathematical Biophysics 16, 181–182 (1954). https://doi.org/10.1007/BF02478374
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DOI: https://doi.org/10.1007/BF02478374