The aim of the paper is to propose a mathematical model for the flow of the interstitial fluid in a lymph node, which main feature is the presence of a porous bulk region with a very low permeability, surrounded by a thin channel where the fluid can flow freely. The flow is driven by a pulsatile pressure gradient. An explicit solution is found in the case of a laminar flow in a simplified situation, while some finite element simulations are presented in a more realistic geometry.
Giantesio, G., Girelli, A., Musesti, A. (2021). A model of the pulsatile fluid flow in the lymph node. MECHANICS RESEARCH COMMUNICATIONS, 116(September 2021) [10.1016/j.mechrescom.2021.103743].
A model of the pulsatile fluid flow in the lymph node
Girelli, Alberto
;
2021
Abstract
The aim of the paper is to propose a mathematical model for the flow of the interstitial fluid in a lymph node, which main feature is the presence of a porous bulk region with a very low permeability, surrounded by a thin channel where the fluid can flow freely. The flow is driven by a pulsatile pressure gradient. An explicit solution is found in the case of a laminar flow in a simplified situation, while some finite element simulations are presented in a more realistic geometry.
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