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Models of Hydration Dependent Lymphatic Opening, Interstitial Fluid Flows and Ambipolar Diffusion
Alf H Øien1, Olav Tenstad2, Helge Wiig2
1Department of Mathematics, University of Bergen, Bergen, Norway.
Microcirculation (New York, N.Y. : 1994)
|November 21, 2024
Summary
Mathematical models reveal how fluid and charged particles move in tissues. This research clarifies lymphatic system transport, impacting drug delivery and tissue uptake of therapeutic agents.
Area of Science:
- Biophysics
- Mathematical Biology
- Physiology
Background:
- A theoretical gap exists in understanding fluid exchange and initial lymph formation in tissues.
- Mathematical and physical modeling approaches are needed to elucidate these complex processes.
Purpose of the Study:
- To develop mathematical models for fluid and macromolecular transport in charged tissues.
- To investigate the mechanisms of lymphatic vessel formation and particle drainage.
- To analyze the behavior of charged and neutral substances within the interstitial space.
Main Methods:
- Three mathematical models were developed for tissues with negative fixed charges from glycosaminoglycans.
- A lymphatic opening mechanism was modeled considering tissue hydration and strain.
- Interstitial fluid and macromolecular flow were simulated using an extended Darcy equation and ambipolar diffusion models.
Main Results:
- The models describe lymphatic opening and particle drainage dynamics.
- Quantified the influence of exclusion and available volumes on charged and neutral particle transport.
- Demonstrated significant differences in the interaction of charged versus neutral therapeutic agents with cells.
- Derived expressions for interstitial fluid hydrostatic pressure gradients and flow.
Conclusions:
- The study provides insights into the transport of charged and neutral macromolecules between vasculature, interstitium, and lymphatics.
- Findings have implications for optimizing the tissue uptake of therapeutic agents.
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