Upcoming Seminars

Multiscale Modelling of Fluid Flow in a Lymph Node

Dr Alberto Girelli (Università Cattolica del Sacro Cuore)

Date: Thursday, 29th August 2024
Time: 14:00-15:00
Venue: School of Mathematics & Statistics, University of Glasgow (Room 311b)

Joint event with Applied Maths Seminar

Abstract:

Lymph nodes are crucial components of the lymphatic system, playing an essential role in our immune response by filtering bacteria, viruses, and waste from the lymph. These nodes act as biological filters, strategically located throughout the body to intercept and process foreign particles and pathogens. The main mechanical features of the lymph node include the presence of a porous bulk region, known as the lymphoid compartment, which is densely packed with immune cells. This compartment is surrounded by a thin layer called the subcapsular sinus, where the lymph fluid can flow freely, allowing for efficient transportation and filtration. Understanding the fluid dynamics within lymph nodes is essential for elucidating the mechanisms of immune surveillance and response, as well as for developing therapies for immune and lymphatic disorders. Despite their significance, few models in the literature attempt to describe lymph behavior from a mechanical perspective, leaving a gap in our comprehensive understanding of lymph node function.

In this talk, we will explore a mathematical description that captures the multiscale nature of fluid flow within lymph nodes using asymptotic homogenization techniques. This advanced mathematical approach allows us to model the complex interplay between different scales of fluid movement within the lymph node. We will discuss how this model can elucidate flow patterns, pressure distribution, and shear stress within the node, providing insights into the mechanical environment that supports immune cell function and pathogen filtration.