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A Self-Induced Metric on Groupoids and its Application to the Analysis of Cellular Interactions in Biology

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The application of finite groupoids to the modeling of the interaction of living cells in biology is considered. For this application, special numerical characteristics for groupoid elements based on the general form of the Cayley table of groupoids were established. In particular, a self-induced metric on groupoids was constructed to analyze and describe small variations in the Cayley tables of groupoids.

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Correspondence to M. N. Nazarov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 18, No. 3, pp. 149–160, 2013.

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Nazarov, M.N. A Self-Induced Metric on Groupoids and its Application to the Analysis of Cellular Interactions in Biology. J Math Sci 206, 561–569 (2015).

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  • Main Diagonal
  • Relative Priority
  • Zero Multiplication
  • Iterative Search
  • Triangular Inequality