The mathematical model of local regulation of a blood flow and oxygen transport is constructed by vasoactive products of a metabolism. It is shown that upon transition from easy physical activity to intensive and back, time spent for transients is more by 2.6–3.4 times in the second case, than in the first one. As the speed of oxygen consumption in tissues increases by 2 times the speed of a blood flow increases by 2.2–2.8 times which corresponds to experimental evidence (by 2–3 times).
regulyaciya krovotoka, transport kisloroda, produkty metabolizma, matematicheskoe modelirovanie
1. Kislyakov Yu.Ya., Kopyl'cov A.V. Matematicheskaya model' dvizheniya nesimmetrichnogo eritrocita po kapillyaru // Biofizika. 1990. T. 35. Vyp. 3.
2. Kopyl'cov A.V. Transport kisloroda v normal'nyh i ekstremal'nyh usloviyah: Avtoref. dis. … d-ra tehn. nauk. SPb., 1996.
3. Kopyl'cov A.V. Transport kisloroda v normal'nyh i ekstremal'nyh usloviyah: Dis. … d-ra tehn. nauk. SPb., 1996.
4. Kopyl'cov A.V. Matematicheskaya model' kolebaniy stenki arterioly // Izvestiya RGPU im. A.I.Gercena: Nauchnyy zhurnal: Estestvennye i tochnye nauki. 2004. № 4(8).
5. Kopyl'cov A.V. Matematicheskoe modelirovanie transporta kisloroda v serdechno-sosudistoy sisteme cheloveka // Vestnik SPbO RAEN. 1999. № 3(4).
6. Kopyl'cov A.V., Kondrashkov A.V. Matematicheskoe modelirovanie v estestvoznanii. SPb., 2011.
7. Kopyl'cov A.V., Kondrashkov A.V. Analiticheskie i ekspertnye sistemy. SPb., 2011.
8. Kopyl'cov A.V., Senkevich Yu.I., Krylenkov L.V., Al'zhasem H.I. Modelirovanie kapillyarnogo krovotoka s ispol'zovaniem algoritma raspredelennyh vychisleniy // Prilozhenie k zhurnalu «Mehatronika, avtomatizaciya, upravlenie»: Mehatronika i informacionnye tehnologii v medicine. 2008. № 3.
9. Fung Y.C. Biodinamics (Circulation). N.Y.; Berlin; Heidelberg; Tokyo, 1984.
10. Groebe K. An easy-to-use model for oxygen supply to red muscle // Biophys. J. 1995.
11. Honig C.R., Gayeski T.E.J., Clark A., Clark P.A.A. Arteriovenous oxygen diffusion shunt is negligible in resting and working gracilis muscles // Am. J. Physiol. 1991. Vol. 261 (Heart Circ. Physiol. 30).
12. Kopyltsov A.V., Groebe K. Mathematical modeling of local regulation of blood flow by veno-arterial diffusion of vasoactive metabolites // Oxygen transport to Tissue XVIII. N.Y., 1997.
13. Kopyltsov A.V. Mathematical model of the motion of asymmetric erythrocytes along narrow capillaries // Russian Journal of Numerical Analysis and Mathematical Modelling. 2011. № 6.
