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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2010 Issue 2, Pages 111–121 (Mi izkab651)

MATHEMATICS. MATHEMATIC MODELING

Mathematical model of process of transporting nourishing substances towards tissues in the process of blood circulation

M. K. Zhekamuhov

Kabardin-Balkar State University named after H.M. Berbekov, 360004, Nalchik, 173, Chernyshevsky street

Abstract: The metabolism process between the blood and the tissue in the separate part of the blood vessels is being examined. On the basis of the diffusion equation the analytical formulas are obtained, describing the concentration of the substances, which were in the blood, during its flow along capillaries and arterials. The regularities of volume expenditures of substances masses in the different parts of the blood vessel channel have been determined.

Keywords: mathematical modeling, transportation of nutrients, blood circulation.

UDC: 612.1

Received: 17.11.2009



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