Barenblatt-like approach to transport processes in meningeal lymphatic vessel’s dynamics
Autor: | Eugene B. Postnikov, Anastasia I. Lavrova |
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Rok vydání: | 2021 |
Předmět: |
Physics
0303 health sciences Quantitative Biology::Tissues and Organs Dynamics (mechanics) General Physics and Astronomy Mechanics Pressure jump 01 natural sciences Lymphatic Capillary Quantitative Biology::Cell Behavior 010305 fluids & plasmas 03 medical and health sciences Lymphatic system medicine.anatomical_structure Lymph flow 0103 physical sciences Lymphatic vessel medicine Nonlinear diffusion Microvessel 030304 developmental biology |
Zdroj: | The European Physical Journal Plus. 136 |
ISSN: | 2190-5444 |
DOI: | 10.1140/epjp/s13360-021-01481-1 |
Popis: | We propose a model, which describes the transfer of a marker inside the lymphatic microvessel by the lymph flow as a consequence of the vessel’s elastic deformation, which produces the pushing pressure jump. The resulting model is close to the equation of the nonlinear diffusion with a localized moving front solution. The simulations are compared with the processed data of experimental recordings of the transfer of neutrophil in the meningeal lymphatic capillary of Danio rerio, and the quantitative reproducing the realistic spatiotemporal dynamics is confirmed. |
Databáze: | OpenAIRE |
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