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., A model of the pulsatile fluid flow in the lymph node, <<MECHANICS RESEARCH COMMUNICATIONS>>, 2021; 116 (N/A): 103743-N/A. [doi:10.1016/j.mechrescom.2021.103743] [https://hdl.handle.net/10807/189743]
A model of the pulsatile fluid flow in the lymph node
Giantesio, Giulia;Girelli, Alberto;Musesti, Alessandro
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.