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Multiscale computational analysis of the steady fluid flow through a lymph node
Alberto Girelli1, Giulia Giantesio1,2, Alessandro Musesti1
1Dipartimento di Matematica e Fisica "N. Tartaglia", Università Cattolica del Sacro Cuore, Brescia, Italy.
Biomechanics and Modeling in Mechanobiology
|September 25, 2024
Summary
Lymph nodes (LNs) regulate fluid balance by filtering substances. Mathematical models reveal how LN microstructure is crucial for maintaining this fluid homeostasis, impacting health and disease.
Area of Science:
- Biophysics
- Mathematical Biology
- Immunology
Background:
- Lymph nodes (LNs) are vital components of the immune and lymphatic systems, essential for filtering harmful substances and regulating lymph transport.
- Understanding lymph flow dynamics presents significant mathematical and mechanical challenges due to the complex structure of LNs, including the lymphoid compartment (LC) and subcapsular sinus (SCS).
Purpose of the Study:
- To develop and analyze a mathematical model for steady lymph transport within a lymph node.
- To investigate the role of LN microstructure in regulating fluid balance and transport.
Main Methods:
- Coupling an incompressible Stokes equation for SCS fluid flow with a homogenized model for LC fluid flow.
- Incorporating fluid exchange with blood vessels within the lymph node.
- Utilizing numerical simulations to analyze lymph transport dynamics.
Main Results:
- The study highlights the critical role of the lymph node's microstructure in regulating its fluid balance.
- Numerical simulations elucidate the mechanisms of lymph transport within the node.
- The model captures the multiscale nature of lymph node function and fluid exchange.
Conclusions:
- The microstructure of lymph nodes is fundamental to maintaining fluid homeostasis.
- This mathematical framework provides insights into lymph node functionalities, which are relevant to various physiological and pathological conditions, including malignant tissues.
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