Filling a collapsible tube

Fullana, José‐Maria; Cros, Françoise; Flaud, Patrice; Zaleski, Stéphane

doi:10.1017/s0022112003005834

Cited by 11 publications

(9 citation statements)

References 25 publications

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“…This can be considered by comparing results between the models with and without valves, where the absence of valves represents the extreme case of valve incompetence, which is often a feature of chronic venous disease. The increased arterial flow observed during the refilling shows the same behavior as observed by Fullana et al [35]: initial rapid increase, quasisteady filling resulting in an almost linear decay in flow, and a final stage, where the flow goes back to its baseline value. The spatial and temporal courses of collapse are in line with previous studies.…”

Section: Discussionsupporting

confidence: 82%

A 1D pulse wave propagation model of the hemodynamics of calf muscle pump function

Keijsers

Leguy

Huberts

et al. 2015

Numer Methods Biomed Eng

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The calf muscle pump is a mechanism which increases venous return and thereby compensates for the fluid shift towards the lower body during standing. During a muscle contraction, the embedded deep veins collapse and venous return increases. In the subsequent relaxation phase, muscle perfusion increases due to increased perfusion pressure, as the proximal venous valves temporarily reduce the distal venous pressure (shielding). The superficial and deep veins are connected via perforators, which contain valves allowing flow in the superficial-to-deep direction. The aim of this study is to investigate and quantify the physiological mechanisms of the calf muscle pump, including the effect of venous valves, hydrostatic pressure, and the superficial venous system. Using a one-dimensional pulse wave propagation model, a muscle contraction is simulated by increasing the extravascular pressure in the deep venous segments. The hemodynamics are studied in three different configurations: a single artery–vein configuration with and without valves and a more detailed configuration including a superficial vein. Proximal venous valves increase effective venous return by 53% by preventing reflux. Furthermore, the proximal valves shielding function increases perfusion following contraction. Finally, the superficial system aids in maintaining the perfusion during the contraction phase and reduces the refilling time by 37%. © 2015 The Authors. International Journal for Numerical Methods in Biomedical Engineering published by John Wiley & Sons Ltd.

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Section: Discussionsupporting

confidence: 82%

A 1D pulse wave propagation model of the hemodynamics of calf muscle pump function

Keijsers

Leguy

Huberts

et al. 2015

Numer Methods Biomed Eng

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“…The experiments are performed by filling an initially collapsed flexible tube, applying pressure through a hydraulic circuit and by measuring the cross-sectional area from images taken by a digital camera (Fullana et al 2003;Guesdon et al 2007).…”

Section: Numerical Set-upmentioning

confidence: 99%

Accurate modelling of unsteady flows in collapsible tubes

Marchandise

Flaud

2010

Computer Methods in Biomechanics and Biomedical Engineering

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The context of this paper is the development of a general and efficient numerical haemodynamic tool to help clinicians and researchers in understanding of physiological flow phenomena. We propose an accurate one-dimensional Runge-Kutta discontinuous Galerkin (RK-DG) method coupled with lumped parameter models for the boundary conditions. The suggested model has already been successfully applied to haemodynamics in arteries and is now extended for the flow in collapsible tubes such as veins. The main difference with cardiovascular simulations is that the flow may become supercritical and elastic jumps may appear with the numerical consequence that scheme may not remain monotone if no limiting procedure is introduced. We show that our second-order RK-DG method equipped with an approximate Roe's Riemann solver and a slope-limiting procedure allows us to capture elastic jumps accurately. Moreover, this paper demonstrates that the complex physics associated with such flows is more accurately modelled than with traditional methods such as finite difference methods or finite volumes. We present various benchmark problems that show the flexibility and applicability of the numerical method. Our solutions are compared with analytical solutions when they are available and with solutions obtained using other numerical methods. Finally, to illustrate the clinical interest, we study the emptying process in a calf vein squeezed by contracting skeletal muscle in a normal and pathological subject. We compare our results with experimental simulations and discuss the sensitivity to parameters of our model.

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“…Biomedical examples of flow involving collapsible tubes are mainly in the circulatory and respiratory systems. Some examples include arteries [2], veins [3], urethras, vocal cords and pulmonary airways [4].…”

Section: Introductionmentioning

confidence: 99%

Effects of downstream system on self‐excited oscillations in collapsible tubes

Wang

Chew

Low

2009

Commun. Numer. Meth. Engng.

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SUMMARYDuring self-excited oscillation, the effects of downstream head, resistance and inertia on the amplitude and frequency of the tube outlet pressure and flow have been studied experimentally. Different sets of resistance and head combinations could be arranged to achieve identical mean pressure-flow condition, but the unsteady pressure and flow waveforms were found to be different. In a conventional experimental set-up, the direct effect of downstream resistance could be inadvertently complicated by the indirect ones, which were caused by the associated variations of mean pressure and flow on the downstream head.

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Filling a collapsible tube

Cited by 11 publications

References 25 publications

A 1D pulse wave propagation model of the hemodynamics of calf muscle pump function

A 1D pulse wave propagation model of the hemodynamics of calf muscle pump function

Accurate modelling of unsteady flows in collapsible tubes

Effects of downstream system on self‐excited oscillations in collapsible tubes

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