Abstract
Theoretical systems of neuroblasts differentiating according to various postulates are studied. The analysis determines the most likely patterns of connections implied by the differentiating systems. The exact expressions for the various parameters characterizing the resulting neural networks are approximated by simple analytic expressions which hold for systems having large numbers of neurons. The study is presented as a suggested approach to the more general problem of differentiating nervous systems.
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Literature
Rapoport, A. 1948. “Cycle Distributions in Random Nets.”Bull. Math. Biophysics,10, 145–157.
Shimbel, A., and Rapoport, A. 1948. “A Statistical Approach to the Theory of the Central Nervous System.”Bull. Math. Biophysics,10, 41–55.
Weiss, P. 1934. “In Vitro Experiments on the Factors Determining the Course of the Outgrowing Nerve Fiber.”The Jour. of Exp. Zool.,68, 393–448.
Weiss, P. 1947. “The Problem of Specificity in Growth and Development.”The Yale Jour. of Biol. and Med. 19, 235–278.
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Shimbel, A. An analysis of theoretical systems of differentiating nervous tissue. Bulletin of Mathematical Biophysics 10, 131–143 (1948). https://doi.org/10.1007/BF02477488
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DOI: https://doi.org/10.1007/BF02477488