https://doi.org/10.1140/epjp/s13360-021-01481-1
Regular Article
Barenblatt-like approach to transport processes in meningeal lymphatic vessel’s dynamics
1
Saint-Petersburg State University, 7/9 Universitetskaya Emb., Saint Petersburg, Russia
2
Saint-Petersburg State Research Institute of Phthisiopulmonology, 2-4 Lygovsky Avenue, Saint Petersburg, Russia
3
Department of Theoretical Physics, Kursk State University, Radishcheva St., 33, 305000, Kursk, Russia
4
Saratov State National Research University, Astrakhanskaya 83, 410012, Saratov, Russia
Received:
16
December
2020
Accepted:
23
April
2021
Published online:
4
May
2021
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.
Focus Point on Breakthrough Optics- and Complex Systems-based Technologies of Modulation of Drainage and Clearing Functions of the Brain.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
