Modeling flow in collecting lymphatic vessels: one-dimensional flow through a series of contractile elements

Schools of 1 Engineering, Computer Science and Mathematics, and 2 Physics, University of Exeter, Exeter, United Kingdom; and 3 Dundalk Institute of Technology, Dundalk, County Louth, Ireland Submitted 2 January 2008 ; accepted in final form 8 May 2008 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 lymphatics back to the main circulation. Despite its importance, there is a dearth of information on the fluid dynamics of the lymphatic system. In this article, we describe linked experimental and computational work aimed at elucidating the biomechanical properties of the individual lymphangions. We measure the static and dynamic mechanical properties of excised bovine collecting lymphatics and develop a one-dimensional computational model of the coupled fluid flow/wall motion. The computational model is able to reproduce the pumping behavior of the real vessel using a simple contraction function producing fast contraction pulses traveling in the retrograde direction to the flow. computational fluid dynamics; floppy tube; valve Address for reprint requests and other correspondence: G. R. Tabor, School of Engineering, Computer Science and Mathematics, Univ. of Exeter, North Park Rd., Exeter, UK (e-mail: g.r.tabor{at}ex.ac.uk )