A quasilinear hyperbolic one-dimensional model of the lymph flow through a lymphangion with valve dynamics and a contractile wall
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| Title: | A quasilinear hyperbolic one-dimensional model of the lymph flow through a lymphangion with valve dynamics and a contractile wall |
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| Authors: | Girelli, Alberto |
| Source: | Computer Methods in Biomechanics and Biomedical Engineering. :1-16 |
| Publisher Information: | Informa UK Limited, 2024. |
| Publication Year: | 2024 |
| Subject Terms: | numerical simulations, valves, physiological data, quasilinear hyperbolic systems, Lymphangion |
| Description: | 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. |
| Document Type: | Article |
| Language: | English |
| ISSN: | 1476-8259 1025-5842 |
| DOI: | 10.1080/10255842.2024.2399769 |
| Access URL: | https://pubmed.ncbi.nlm.nih.gov/39262168 https://hdl.handle.net/10281/528602 https://doi.org/10.1080/10255842.2024.2399769 https://hdl.handle.net/10807/314460 https://doi.org/10.1080/10255842.2024.2399769 |
| Accession Number: | edsair.doi.dedup.....fdd776836c0911bde0f0b493f98c143c |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | 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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| ISSN: | 14768259 10255842 |
| DOI: | 10.1080/10255842.2024.2399769 |