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

Biomechanics and Modeling in Mechanobiology

Volumn 13, Issue 2, 2014, Pages 401-416

  Bertram, C D ^a   Macaskill, C ^a   Davis, M J ^b   Moore, J E ^c  

^a UNIVERSITY OF SYDNEY   (Australia)

^b University of Missouri   (United States)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Fluid structure interaction; Intrinsic pumping mode; Lumped parameter model; Lymph transport; Valve hysteresis

Indexed keywords

FLUID STRUCTURE INTERACTION; LUMPED PARAMETER NETWORKS; PARAMETER ESTIMATION; PUMPS;

FLUID-STRUCTURE INTERACTION; INTRINSIC PUMPING MODE; LUMPED PARAMETER MODELLING; LYMPH TRANSPORT; LYMPHATIC VESSELS; MEASURED PARAMETERS; MEASUREMENTS OF; PROPERTY; PUMPING MODES; VALVE HYSTERESIS;

HYSTERESIS;

ARTICLE; HYSTERESIS; LYMPH VESSEL; MATHEMATICAL MODEL; MEASUREMENT; MEASUREMENT ERROR; MESENTERY BLOOD VESSEL; MUSCLE LENGTH; NONLINEAR SYSTEM; PRESSURE; PRIORITY JOURNAL; REFRACTORY PERIOD; TENSION; BIOLOGICAL MODEL; PHYSIOLOGY;

RATTUS;

LYMPHATIC VESSELS; MODELS, BIOLOGICAL;

EID: 84897545870     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-013-0505-0     Document Type: Article

References (17)

1. Bertram CD (2012) Lumped-parameter modelling of microlymphatic vessels. Paper presented at the ECI conference, computational fluid dynamics in medicine and biology, Ein Bokek, Dead Sea, Israel, 25-30 March 2012
2. Bertram CD, Macaskill C, Moore JE jr (2011a) Simulation of a chain of collapsible contracting lymphangions with progressive valve closure. ASME J Biomech Eng 133(1): 011008-1-011008-10. doi: 10.1115/1.4002799
3. Bertram CD, Macaskill C, Moore JE jr (2011b) Effects of lymphangion subdivision in a numerical model of a lymphatic vessel. Paper presented at the ASME 2011 summer bioengineering conference (SBC2011) Farmington, Pennsylvania, USA 22-25 June 2011
4. Bertram CD, Macaskill C, Moore JE jr (2013) Incorporating measured valve properties into a numerical model of a lymphatic vessel. Comput Methods Biomech Biomed Eng (publ on-line 6 Feb). doi: 10.1080/10255842.2012.753066
5. Davis MJ, Rahbar E, Gashev AA, Zawieja DC, Moore JE jr (2011) Determinants of valve gating in collecting lymphatic vessels from rat mesentery. Am J Physiol (Heart Circ Physiol) 301(1):H48-H60. doi: 10.1152/ajpheart.00133. 2011
6. Davis MJ, Scallan JP, Wolpers JH, Muthuchamy M, Gashev AA, Zawieja DC (2012) Intrinsic increase in lymphangion muscle contractility in response to elevated afterload. American Journal of Physiology (Heart and Circulatory Physiology) 303(7):H795-H808. doi: 10.1152/ajpheart.01097.2011
7. Dixon JB, Greiner ST, Gashev AA, Cote GL, Moore JE jr., Zawieja DC (2006) Lymph flow, shear stress, and lymphocyte velocity in rat mesenteric prenodal lymphatics. Microcirculation 13(7):597-610. doi: 10.1080/10739680600893909
8. Gashev AA, Davis MJ, Zawieja DC (2002) Inhibition of the active lymph pump by flow in rat mesenteric lymphatics and thoracic duct. J Physiol 540(Pt. 3):1023-1037
9. Gashev AA, Davis MJ, Delp MD, Zawieja DC (2004) Regional variations of contractile activity in isolated rat lymphatics. Microcirculation 11(6):477-492
10. Imtiaz MS, von der Weid PY, van Helden DF (2010) Synchronization of Ca 2 + oscillations: a coupled oscillator-based mechanism in smooth muscle. FEBS J 277(2):278-285. doi: 10.1111/j.1742-4658.2009.07437.x
11. Mazzoni MC, Skalak TC, Schmid-Schönbein GW (1987) Structure of lymphatic valves in the spinotrapezius muscle of the rat. Blood Vessels 24(6):304-312
12. Peng H, Matchkov V, Ivarsen A, Aalkjær C, Nilsson H (2001) Hypothesis for the initiation of vasomotion. Circ Res 88(8):810-815. doi: 10.1161/hh0801.089603
13. Rahbar E, Moore JE jr. (2011) A model of a radially expanding and contracting lymphangion. J Biomech 44(6):1001-1007. doi: 10.1016/j.jbiomech. 2011.02.018
14. Scallan JP, Wolpers JH, Muthuchamy M, Zawieja DC, Gashev AA, Davis MJ (2012) Independent and interactive effects of preload and afterload on the pump function of the isolated lymphangion. Am J Physiol (Heart and Circulatory Physiology) 303(7):H809-H824. doi: 10.1152/ajpheart.01098.2011
15. Schmid-Schönbein GW (1990) Microlymphatics and lymph flow. Physiol Rev 70(4):987-1028
16. Zawieja DC, Davis KL, Schuster R, Hinds WM, Granger HJ (1993) Distribution, propagation, and coordination of contractile activity in lymphatics. Am J Physiol (Heart Circ Physiol) 264((4, Pt. 2)):H1283-H1291
17. Zhang RZ, Gashev AA, Zawieja DC, Davis MJ (2007) Length-tension relationships of small arteries, veins, and lymphatics from the rat mesenteric microcirculation. Am J Physiol (Heart Circ Physiol) 292(4):H1943-H1952