Numerical modeling of fluid exchange between a collecting lymphatic vessel and the surrounding tissue.

Marina Furkes, Sanjoy Saha, N Keilany Lightsey, Donny Hanjaya-Putra, Martina Bukač

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Article in Journal of mathematical biology, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 · Who and what money

Authors and funding

5 authors.

Marina FurkesDepartment of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, 10000, Croatia.

Sanjoy SahaAerospace and Mechanical Engineering, University of Notre Dame, ND, 46556, IN, USA.

N Keilany LightseyAerospace and Mechanical Engineering, University of Notre Dame, ND, 46556, IN, USA.

Donny Hanjaya-PutraAerospace and Mechanical Engineering, University of Notre Dame, ND, 46556, IN, USA.

Martina BukačApplied and Computational Mathematics and Statistics, University of Notre Dame, ND, 46556, IN, USA. mbukac@nd.edu.ORCID http://orcid.org/0000-0003-1956-9101

Funding

Division of Mathematical Sciences 2205695Division of Mathematical Sciences 2208219Division of Mathematical Sciences 2602215Hrvatska Zaklada za Znanost Croatia-USA bilateral grant "The mathematical framework for the diffuse interface method applied to coupled problems in fluid dynamics"

6 · The paper itself

Abstract

Lymphatic vessel dysfunction is increasingly recognized in metabolic diseases, contributing to edema, dyslipidemia, and tissue lipid accumulation. Type 2 diabetes has been experimentally linked to lymphatic vascular defects characterized by enhanced permeability resulting from low nitric oxide (NO) bioavailability. To examine the effects of this dysfunction, we developed a mathematical model of fluid exchange between a collecting lymphatic vessel and the surrounding tissue. The lymph flow is modeled using the Stokes equations for an incompressible, viscous fluid, while the collecting vessel is represented by a thin Koiter shell model. The main novelty of our approach is that the interstitium is described as poroelastic, and modeled using the Biot equations, which capture both porous medium flow and the displacement. Lymph movement within the vessel is regulated by biological factors, specifically calcium ion (

Indexed as

Lymphatic VesselsModels, BiologicalAnimalsCalciumComputer SimulationDiabetes Mellitus, Type 2Elastic ModulusHumansLymphMathematical ConceptsNitric OxideCalciumNitric OxideFluid-poroelastic structure interactionLymphatic systemMathematical modelingOscillatory pumping mechanism

Identifiers

PMID42412238

DOI10.1007/s00285-026-02431-0

PMCPMC13342411

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