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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
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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.

Keywords:
Lymph flowMultiscale modellingNumerical simulationsPhysiological data

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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.