A Model for Fluid Drainage by the Lymphatic System

  title={A Model for Fluid Drainage by the Lymphatic System},
  author={Charles Heppell and Giles Richardson and Tiina Roose},
  journal={Bulletin of Mathematical Biology},
This study investigates the fluid flow through tissues where lymphatic drainage occurs. Lymphatic drainage requires the use of two valve systems, primary and secondary. Primary valves are located in the initial lymphatics. Overlapping endothelial cells around the circumferential lining of lymphatic capillaries are presumed to act as a unidirectional valve system. Secondary valves are located in the lumen of the collecting lymphatics and act as another unidirectional valve system; these are well… 
Modelling the fluid drainage through primary lymphatic valves
This study investigates the fluid flow through tissues where lymphatic drainage occurs. Lymphatic drainage relies on two unidirectional valve systems, primary and secondary. The primary system is
A Model for Interstitial Drainage Through a Sliding Lymphatic Valve
The effects of changes to the Young’s modulus of the tissue, the blood-lymphatic pressure difference, vascular permeability and valve dimensions on the steady state are investigated and discussed in terms of their effects on oedema in the context of age- and pregnancy-relatedChanges to the body.
Investigations of lymphatic drainage from the interstitial space
The lymphatic system is a highly complex biological system that facilitates the drainage of excess fluid in body tissues. In addition, it is an integral part of the immunological control system.
A computational model of a network of initial lymphatics and pre-collectors with permeable interstitium
A computational model for a network of passive rat mesenteric lymphatic vessels with sparse secondary valves offers a perspective for delineating physiological phenomena that have not yet been fully linked to the biomechanics of fluid flow through initial lymphatic networks.
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The dynamics of lymphatic pumping have been investigated experimentally and mathematically, revealing complex behaviours indicating that the system performance is robust against minor perturbations in pressure and flow.
Computational modelling of fluid and solute transport in the brain
This article presents an overview of computational modelling studies associated with glymphatic fluid transport in the brain, from fluid inflow, transparenchymal transport and outflow, and suggests that arterial pulsation is unlikely to be the sole inflow driving force, and diffusion is most likely the dominant mode of Transport in the parenChymal extracellular spaces.
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The hypothesis that the cerebrovascular smooth muscle cells, whose cycles of contraction and relaxation generate vasomotion, are the drivers of intramural periarterial drainage (IPAD) is tested.
Mathematical Modelling of the Structure and Function of the Lymphatic System
This paper presents current knowledge about the structure and function of the lymphatic system. Mathematical models of lymph flow in the single lymphangion, the series of lymphangions, the lymph
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The motive force of the IPAD process has yet not been clarified, hindering in this way any significant therapeutic progress, and a novel hypothesis, namely vasomotion-driven IPAD is proposed and modelled by designing a novel multi-scale mathematical model of cerebral arteries.


A model for mechanics of primary lymphatic valves.
A model for primary lymphatics valves at the junctions between lymphatic endothelial cells is proposed and provides the first time a rational analysis of the mechanisms underlying fluid collection in the initial lymphatics and lymph transport in the microcirculation.
The structure of lymphatic capillaries in lymph formation.
The ultrastructural features of the lymphatic capillaries are discussed in relation to their role in the removal of interstitial fluids and particulate matter, and in the formation of lymph.
Modeling flow in collecting lymphatic vessels: one-dimensional flow through a series of contractile elements.
The lymphatic system comprises a series of elements, lymphangions, separated by valves and possessed of active, contractile walls to pump interstitial fluid from its collection in the terminal
Mechanics of interstitial-lymphatic fluid transport: theoretical foundation and experimental validation.
A two-dimensional computational model of lymph transport across primary lymphatic valves.
This study utilizes a finite element model to characterize the transendothelial transport through overlapping endothelial cells in primary lymphatics during the uptake of interstitial fluid and incorporates recent experimental data for parameters such as lymph viscosity, transmural pressure measurements, and others to evaluate the ability of these junctions to act as unidirectional valves.
  • L. Leak
  • Biology
    The Journal of cell biology
  • 1971
The passageway for interstitial fluids and large molecules across the connective tissue lymph interface has been investigated in dermal lymphatic capillaries in the ears of guinea pigs and suggests that these sites are free to move as a result of slight pressure changes.
Interstitial fluid, plasma protein, colloid, and leukocyte uptake into initial lymphatics.
It is suggested that skin movement by massage and elevation of the venous pressure lead to opposite lymph transport kinetics of protein, colloids, and cells, and massage is more effective to enhance material transport out of the interstitium into the initial lymphatics.
Structure of lymphatic valves in the spinotrapezius muscle of the rat.
Lymphatic valves assure the forward propulsion of fluid along the lymphatic vessels. A description of valve function in skeletal muscle must be based on a knowledge of the valve morphology. To this
The Role of Interstitial Stress in Lymphatic Function and Lymphangiogenesis
The working hypothesis is that the physiological driving force for lymphangiogenesis is the need for organized interstitial fluid flow, and the rationale and background for such an approach are outlined.
Microlymphatics and lymph flow.
A careful review of several different organs shows that with the information available today the beginnings of the microlymphatics in the tissue consist of endothelialized tubes only, and several realistic proposals based on information currently on hand relevant to the tissue surrounding the initial lymphatics are presented.