Incorporating measured valve properties into a numerical model of a lymphatic vessel

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 17, Issue 14, 2014, Pages 1519-1534

  Bertram, C D ^a   Macaskill, C ^a   Moore Jr , J E ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

differential algebraic equation; fluid structure interaction; fold bifurcation; lumped parameter model; lymph transport

Indexed keywords

BLOOD VESSELS; BODY FLUIDS; PRESSURE DROP; VALVES (MECHANICAL); DIFFERENTIAL EQUATIONS; DROPS;

DIFFERENTIAL ALGEBRAIC EQUATIONS; LUMPED PARAMETER MODELS; LYMPH TRANSPORT; NUMERICAL PROBLEMS; PHYSIOLOGICAL MEASUREMENT; STRONG NONLINEARITY; THRESHOLD DEPENDENCE; TRANSMURAL PRESSURE; LUMPED PARAMETER MODELING; STRUCTURE INTERACTIONS;

PHYSIOLOGICAL MODELS;

ALGORITHM; AORTA BIFURCATION; ARTICLE; BIOMECHANICS; LYMPH VESSEL; MAGNITUDE ESTIMATION METHOD; MATHEMATICAL COMPUTING; MATHEMATICS; MUSCLE CONTRACTION; NONLINEAR SYSTEM; PRIORITY JOURNAL; QUANTITATIVE STUDY; BIOMEDICAL ENGINEERING; COMPUTER MODEL; COMPUTER SIMULATION; EXPERIMENTAL DESIGN; LYMPHATIC SYSTEM; MATHEMATICAL MODEL; VALVE;

DIFFERENTIAL ALGEBRAIC EQUATION; FLUID-STRUCTURE INTERACTION; FOLD BIFURCATION; LUMPED-PARAMETER MODEL; LYMPH TRANSPORT;

ANIMALS; LYMPHATIC VESSELS; MODELS, BIOLOGICAL; PRESSURE; RATS;

EID: 84901625956     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255842.2012.753066     Document Type: Article

References (8)

1. BertramCD, MacaskillC, DavisMJ, MooreJE, Jr. 2013. Development of a model of a multi-lymphangion lymphatic vessel incorporating realistic and measured parameter values. Biomech Model Mechanobiol. (submitted).
2. BertramCD, MacaskillC, MooreJE, Jr. 2011a. Simulation of a chain of collapsible contracting lymphangions with progressive valve closure. ASME J Biomech Eng. 133(1), 011008-011001-011008-011010, 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, PA, USA.
4. DavisMJ, RahbarE, GashevAA, ZawiejaDC, MooreJE, Jr. 2011. Determinants of valve gating in collecting lymphatic vessels from rat mesentery. Am J Physiol (Heart Circ Physiol). 301(1):H48-H60, 10.1152/ajpheart.00133.2011.
5. FlahertyJE, KellerJB, RubinovSI. 1972. Post-buckling behaviour of elastic tubes and rings with opposite sides in contact. SIAM J Appl Math. 23:446-455.
6. ForsytheGE, MalcolmMA, MolerCB. 1977. Computer methods for mathematical computations. Englewood Cliffs, NJ:Prentice-Hall.
7. MoréJJ. 1978. The Levenberg-Marquardt algorithm: implementation and theory. In: Numerical analysis (lecture notes in mathematics 630). Berlin: Springer Verlag. p. 105-116.
8. RahbarE, WeimerJ, GibbsH, YehAT, BertramCD, DavisMJ, HillMA, ZawiejaDC, MooreJE, Jr. 2012. Passive pressure-diameter relationship and structural composition of rat mesenteric lymphangions. Lymphatic Res. Biol. 10(4), publ. online Nov. 2012, 10.1089/lrb.2011.0015.