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New unpublished results of research conducted under the guidance of Prof. Favorskii at the Chair of Computational Methods of Moscow State University are presented. Justification and imple mentation of a quasi one dimensional approximation for mathematical modeling of hemodynamics are discussed.

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A model of lymph flow in the human lymphatic system in the quasi-one-dimensional approach has been created and investigated under different conditions. The model includes an implementation of contractions and valve influence on lymph flow. We consider contractions of lymphatic vessels and their influence on resulting flow in the whole network of lymphatic vessels and lymph nodes. We have investigated flow with zero pressure gradient and have found parameters, which influence the efficiency of contractions most significantly.