Abstract
In combining the author's theories of organismic sets (Rashevsky,Bull. Math. Biophysics,31, 159–198, 1969a) and Robert Rosen's theory of (M, R)-systems (Bull. Math. Biophysics,20, 245–265, 1958), a conclusion is reached that the number of either normal or pathological phenomena in organismic sets may occur. Those phenomena are characterized by occurring spontaneously once in a while but are not exactly periodic. Some epilepsies are an example of such pathological phenomena in the brain.
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Rashevsky, N. 1960. “Contributions to Relational Biology.”Bull. Math. Biophysics,22, 73–84.
——. 1966. “Physics, Biology, and Sociology: A Reappraisal.” —Ibid.,,28, 283–308.
——. 1967. “Organismic Sets: Outline of a General Theory of Biological and Social Organisms.” —Ibid.,,29, 139–152.
——. 1968. “Organismic Sets: II. Some General Considerations.” —Ibid.,,30, 163–174.
——. 1969a. “Outline of a Unified Approach to Physics, Biology and Sociology.” —Ibid.,,31, 159–198.
——. 1969b. “A Note on the Mathematical Theory of the Effect of Nervous Stress on Coronary Thrombosis.” —Ibid.,,31, 403–416.
——. 1971a. “A Note on Nonperiodic Undamped Oscillations with Special Reference to Brain Waves.” —Ibid.,,33, 281–293.
——. 1971b. “Mathematical Biophysics of Sustained Nonperiodic Oscillations of Excitation and Inhibition in the Central Nervous System.” —Ibid.,,33, 539–553.
Rosen, Robert. 1958. “A Relational Theory of Biological Systems.”Bull. Math. Biophysics,20, 245–260.
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Rashevsky, N. Sporadic sustained nonperiodic oscillations in the activities of organismic sets. Bulletin of Mathematical Biophysics 33, 555–559 (1971). https://doi.org/10.1007/BF02476417
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DOI: https://doi.org/10.1007/BF02476417