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Updated: Jun 13, 2025

Author Spotlight: Innovative Methods in Lymphedema and Hypertension Research
Published on: March 22, 2024
A quasilinear hyperbolic one-dimensional model of the lymph flow through a lymphangion with valve dynamics and a
1Dipartimento di Matematica e Fisica "N. Tartaglia", Università Cattolica del Sacro Cuore, Brescia, Italy.
Abstract:
This paper presents a one-dimensional model that describes fluid flow in lymphangions, the segments of lymphatic vessels between valves, using quasilinear hyperbolic systems. The model incorporates a phenomenological pressure-cross-sectional area relationship based on existing literature. Numerical solutions of the differential equations align with known results, offering insights into lymphatic flow dynamics. This model enhances the understanding of lymph movement through the lymphatic system, driven by lymphangion contractions.
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