Abstract
The possibility of several homotopic classes of mappings of the graph of an organism onto the primordial graph (Bull. Math. Biophysics,16, 317–48, 1954) is considered. An application of this possibility is suggested for the theoretical determination as to what type of new biological functions may be acquired by certain cells which originally perform a different biological function.
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Literature
Pontryagin, L. S. 1952.Foundations of Combinatorial Topology. Rochester, New York: Graylock Press.
Rashevsky, N., 1954. “Topology and Life: In Search of General Mathematical Principles in Biology and Sociology.”Bull. Math. Biophysics,16, 317–48.
— 1955a. “Note on a Combinatorial Problem in Topological Biology.”Ibid.,17, 45–50.
— 1955b. “Some Theorems in Topology and a Possible Biological Implication.”Ibid.,17, 111–26.
— 1955c. “Some Remarks on Topological Biology.”Ibid.,17, 207–18.
— 1955d. “Life, Information Theory, and Topology.”Ibid.,17, 229–35.
— 1956a. “The Geometrization of Biology.”Ibid.,18, 31–56.
— 1956b. “Contributions to Topological Biology: Some Considerations on the Primordial Graph and on Some Possible Transformations.”Ibid.,18, 113–28.
— 1956c. “What Type of Empirically Verifiable Predictions Can Topological Biology Make?.”Ibid.,18, 173–88.
Seifert, H. and W. Threlfall, 1934.Lehrbach der Topologie. Leipzig-Berlin: B. G. Teubner.
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Rashevsky, N. Remark on an interesting problem in topological biology. Bulletin of Mathematical Biophysics 19, 205–208 (1957). https://doi.org/10.1007/BF02477763
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DOI: https://doi.org/10.1007/BF02477763