Abstract
This paper is an attempt to provide a logical model for the process of growth and differentiation in a multi-cellular organism. More specifically it is intended to show how genetic information relating to macroscopic structure and coded in the form of a logical tree could be progressively embodied in the organism as it develops by repeated division from a single cell. The aim is to establish biological analogies rather than mathematical interest, and reproduction, adaption, and the coordinating action of hormones are discussed within the general logical framework.
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Literature
Moore, E. F. 1961. “Machine Models of Self-Reproduction.”Proceedings of Symposia in Applied Mathematics. Vol. XIV. American Mathematical Society.
Sinnott, E. W., L. C. Dunn and T. Dobzhansky.Principles of Genetics. 5th Edition. New York: McGraw-Hill.
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Herdan, R. A logical model for growth and differentiation in multi-celled organisms. Bulletin of Mathematical Biophysics 27, 379–387 (1965). https://doi.org/10.1007/BF02476843
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DOI: https://doi.org/10.1007/BF02476843