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Multi-physics approach to model the lymph transport in the murine immune system.

Authors :
Grebennikov, Dmitry S.
Pivovarov, Bogdan D.
Savinkov, Rostislav S.
Lobov, Gennady I.
Bocharov, Gennady A.
Source :
Russian Journal of Numerical Analysis & Mathematical Modelling; Nov2024, Vol. 39 Issue 5, p273-287, 15p
Publication Year :
2024

Abstract

We formulate a compartmental model of the murine lymphatic system with the transfer rate parameters derived from the data on the geometric characteristics of the lymphatic system (LS) graph structure and the Hagen–Poiseuille-based values of the lymph flows through the system components, i.e., vertices and edges. It is supplemented by the physics-based model of lymph node draining-related function which considers a paradigmatic view of its geometry with one- and three-afferent lymphatic vessels and one efferent vessel, and the lymph flow described by the Darcy–Starling equations. We discuss further modelling work needed to gain a predictive understanding of the LS function in response to various perturbations including infections and therapeutic treatments. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09276467
Volume :
39
Issue :
5
Database :
Complementary Index
Journal :
Russian Journal of Numerical Analysis & Mathematical Modelling
Publication Type :
Academic Journal
Accession number :
180583610
Full Text :
https://doi.org/10.1515/rnam-2024-0024