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ON THE INTERACTION OF LIQUID FLOW IN THE SYSTEM «BLOOD CAPILLARY - TISSUE - LYMPHATIC CAPILLARY»

https://doi.org/10.15372/SSMJ20180603

Abstract

The article deals with the interaction of fluid flow in the «blood capillary - tissue - lymphatic capillary» system. On the one hand, the mutual influence of the components involved in the system is an important basis for maintaining homeostasis from the point of view of physiologically occurring processes, and changes in their structural and functional properties can be a triggering factor for impaired fluid balance, the appearance and development of a number of pathological processes, syndromes and diseases. The paper presents a mathematical model of metabolic processes that occur at the microcirculatory level and include the following interrelated processes: blood flow in the capillaries, fluid movement in the interstitium, metabolism between interstitial fluid and tissue cells, drainage into lymphatic capillaries. An approach is used to take into account the mutual influence of blood flow in the blood capillary and interstitial fluid in the tissue. The analysis of the solution results is carried out, the effect of various microcirculation parameters on the intensity of metabolic processes is investigated, and the most significant parameters are identified.

About the Authors

I. V. Shvab
Institute of Computational Technologies of SB RAS
Russian Federation


V. V. Nimaev
Research Institute for Clinical and Experimental Lymphology - Branch of the Institute of Cytology and Genetics of SB RAS; Novosibirsk State University
Russian Federation


References

1. Панченков И.Я., Ярема Н.Н., Сильманович Р.Т. Лимфостимуляция. М.: Медицина, 1986.

2. Чернух A.M., Александров П.Н., Алексеев О.В. Микроциркуляция. М.: Медицина, 1975. 455 с.

3. Шабрыкина Н.С. Математическое моделирование микроциркуляторных процессов: нестационарная модель // Рос. журн. биомеханики. 2006. 10. (4). 70-83.

4. Шваб И.В., Нимаев В.В. Математическая модель микроциркуляторных процессов с учетом лимфатического дренажа // Марчуковские научные чтения-2017: тр. междунар. конф., Новосибирск, 25 июня - 14 июля 2017 г. Новосибирск: Омега-принт, 2017. 990-996

5. Gashev A.A., Zawieja D.C. Hydrodynamic regulation of lymphatic transport and the impact of aging // Pathophysiology. 2010. 17. 277-287.

6. Hantos Z., Lazar Z. The flow of fluid through the wall of capillary systems studied bya mathematical model // Acta Physiol. Acad. Sci. Hung. 1970. 38. (4). 265-280.

7. Krogh A.E., Landis E.M., Turner A.H. The movement of fluid through the human capillary wall in relation to venous pressure and to the colloid osmotic pressure of the blood // J. Clin. Invest. 1932. 11. 63-95.

8. Rani H.P., Sheu T.W.H., Chang T.M., Liang P.C. Numerical investigation of non-Newtonian microcirculatoryblood flow in hepatic lobule // J. Biomechanics. 2006. 39. 551-563.

9. Shvab I.V., Nimaev V.V. Mathematical modeling of microcirculatory processes // SIBIRCON: proc. Int. conf., Novosibirsk, September 18-22. Novosibirsk, 2017. 531-533.

10. Textbook of lymphology / Eds. M. Foeldi, E. Foeldi, S. Kubik. Munchen: Urban & Fischer, 2003. 689 p.

11. Yao W., Li Y. Analytic solutions of the interstitial fluid flow models // J. Hydrodinamics. 2013. 25. (5). 683-694

12. Zweifach, В. Quantitative studies of microcirculatory structure and function (in two parts) // Circ. Res. 1974. 34. 843-866.


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ISSN 2410-2512 (Print)
ISSN 2410-2520 (Online)