Some remarks on the central nervous system |
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Authors: | N Rashevsky |
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Institution: | (1) Mathematical Biology, Inc., R.F.D. 5, 49423 Holland, Michigan |
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Abstract: | It is pointed out that the successes obtained in the mathematical biology of the central nervous system are based mostly on
a number of more or less complicated neuronic circuit models, each inventedad hoc for the purpose of explaining a given phenomenon. The individual models remain disconnected from each other, however, and
the unity of the CNS is not apparent. (Rashevsky,Mathematical Biophysics, 3rd Edition, Vol. II, 1960. New York, Dover Publications, Inc.) Some “field theories” of the CNS, as for example that of
Griffith (Bull. Math. Biophysics,25, 111–120, 1963;27, 187–195, 1965), give more expression to this unity but lose in the explanation of specific phenomena. The present paper
starts with the picture thatevery neuron in the brain isdirectly or indirectly affected to some extent byevery other neuron. This leads to a system of equations with a very large number of variables. Such a system can be replaced in
the limiting case by an integral equation of the first kind. At least two specific results can be obtained with this approach
and suggestions for further improvement are made. |
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