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Pressure Gradient Influence on Global Lymph Flow

  • A. S. Mozokhina
  • S. I. Mukhin
Chapter

Abstract

The model of lymph flow in the lymphatic system in the quasi-one-dimensional approach is considered. The graph of the lymphatic system is introduced. It contains 543 arcs and 478 nodes. One hundred and sixty one arcs represent lymph nodes. The graph is anatomically adequate and is spatially consistent with appropriate graph of the cardiovascular system. For description of lymph flow, the system of quasi-one-dimensional hemodynamic equations is used. Lymph flow is numerically investigated in realistic topology under different pressure gradients for different body orientation—horizontal and vertical positions. It is shown that hydrodynamic patterns of lymph flow in vertical and horizontal cases differ radically from each other. The model of valves in trunks and ducts is proposed, and influence of such valves on global lymph flow under pressure gradient is investigated. The values of pressure gradient needed for existence of adequate flow in different cases are obtained.

Notes

Acknowledgements

Authors would like to thank all interested in the current work, especially Prof. M. V. Abakumov and Prof. V. B. Koshelev for their valuable notes and fruitful discussion on this work.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • A. S. Mozokhina
    • 1
  • S. I. Mukhin
    • 1
  1. 1.Department of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia

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