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Modelling secondary lymphatic valves with a flexible vessel wall: how geometry and material properties combine to
1School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia. c.bertram@sydney.edu.au.
Biomechanics and Modeling in Mechanobiology
|April 19, 2020
Summary
This study models intravascular lymphatic valves, finding that more flexible walls and leaflets require less pressure to open and close, improving lymph flow. The model refines existing lymphangion models for better pumping efficacy predictions.
Area of Science:
- Biomedical Engineering
- Fluid Dynamics
- Computational Mechanics
Background:
- Intravascular lymphatic valves are crucial for unidirectional lymph flow.
- Understanding valve mechanics is key to improving lymphatic system function.
Purpose of the Study:
- To model and investigate the biomechanical properties of intravascular lymphatic valves.
- To analyze how material properties and pressure affect valve function (opening/closure).
- To refine existing lumped-parameter models of lymphangions.
Main Methods:
- Developed a 3D finite-element fluid/structure interaction model.
- Simulated valve opening and closure under varying pressure differences.
- Varied material properties (shear modulus) and initial valve configurations.
- Analyzed parameters like flow rate, hydraulic resistance, sinus radius, and inter-leaflet gap.
Main Results:
- Valve flexibility (wall and leaflet) significantly reduces the pressure needed for opening and closure.
- Increased flexibility leads to more linear or sigmoidal increases in inter-leaflet gap during opening.
- Valve characteristics are biased towards opening with larger resting gaps and higher inflation pressures.
- Model parameters were adjusted to refine a lumped-parameter lymphangion model.
Conclusions:
- Material flexibility is a critical factor in lymphatic valve dynamics.
- The refined model provides a better understanding of lymph pumping efficacy.
- Findings can inform strategies for addressing lymphatic dysfunction.

