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Biomechanics and Modeling in Mechanobiology : Volume 13, Issue 1, January 2014

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Development of a model of a multi-lymphangion lymphatic vessel incorporating realistic and measured parameter values

Content Provider	Springer Nature Link
Author	Bertram, C. D. Macaskill, C. Davis, M. J. Moore, J. E.
Copyright Year	2013
Abstract	Our published model of a lymphatic vessel consisting of multiple actively contracting segments between non-return valves has been further developed by the incorporation of properties derived from observations and measurements of rat mesenteric vessels. These included (1) a refractory period between contractions, (2) a highly nonlinear form for the passive part of the pressure–diameter relationship, (3) hysteretic and transmural-pressure-dependent valve opening and closing pressure thresholds and (4) dependence of active tension on muscle length as reflected in local diameter. Experimentally, lymphatic valves are known to be biased to stay open. In consequence, in the improved model, vessel pumping of fluid suffers losses by regurgitation, and valve closure is dependent on backflow first causing an adverse valve pressure drop sufficient to reach the closure threshold. The assumed resistance of an open valve therefore becomes a critical parameter, and experiments to measure this quantity are reported here. However, incorporating this parameter value, along with other parameter values based on existing measurements, led to ineffective pumping. It is argued that the published measurements of valve-closing pressure threshold overestimate this quantity owing to neglect of micro-pipette resistance. An estimate is made of the extent of the possible resulting error. Correcting by this amount, the pumping performance is improved, but still very inefficient unless the open-valve resistance is also increased beyond the measured level. Arguments are given as to why this is justified, and other areas where experimental data are lacking are identified. The model is capable of future adaptation as new experimental data appear.
Starting Page	401
Ending Page	416
Page Count	16
File Format	PDF
ISSN	16177959
Journal	Biomechanics and Modeling in Mechanobiology
Volume Number	13
Issue Number	2
e-ISSN	16177940
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-06-26
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lumped parameter model Fluid–structure interaction Lymph transport Valve hysteresis Intrinsic pumping mode Theoretical and Applied Mechanics Biomedical Engineering Biophysics and Biological Physics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Modeling and Simulation Biotechnology

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