Experimental study of the behavior of a valveless impedance pump

Hickerson, Anna; Rinderknecht, Derek; Gharib, Morteza

doi:10.1007/s00348-005-0946-z

Cited by 85 publications

(84 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…These experiments also revealed that the flow rate was a function of the actuation frequency. Although a change in flow direction was observed with increasing frequency, the flow direction was opposite to that observed by Hickerson et al [38]. They developed a simple mathematical model to explain the frequency flow relationship that did not account for any wave phenomena and concluded that the net flow generated is a function of the nonlinear term in the momentum equation.…”

Section: Pumping Mechanisms Of the Heart Tubementioning

confidence: 87%

“…A pressure differential is created on each side of the region of contraction which drives the flow in one direction. Recent experiments have used physical models to further investigate impedance pumping [7,37,38]. These studies have highlighted the complexity of the underlying mechanism of impedance pumping.…”

Section: Pumping Mechanisms Of the Heart Tubementioning

confidence: 98%

“…These studies have highlighted the complexity of the underlying mechanism of impedance pumping. Experiments using an open loop system developed by Hickerson et al [38] indicate that the flow rate is sensitive to both the actuation frequency and the duty cycle (fraction of pumping cycle during which the tube is actuated). Their experiments were performed for Womerseley numbers range of 10-30, and the results indicated the maximum non-dimensional flow rate was slightly better than peristaltic flow.…”

Section: Pumping Mechanisms Of the Heart Tubementioning

confidence: 99%

See 2 more Smart Citations

Fluid Dynamics of Heart Development

Santhanakrishnan

Miller

2011

Cell Biochem Biophys

View full text Add to dashboard Cite

The morphology, muscle mechanics, fluid dynamics, conduction properties, and molecular biology of the developing embryonic heart have received much attention in recent years due to the importance of both fluid and elastic forces in shaping the heart as well as the striking relationship between the heart's evolution and development. Although few studies have directly addressed the connection between fluid dynamics and heart development, a number of studies suggest that fluids may play a key role in morphogenic signaling. For example, fluid shear stress may trigger biochemical cascades within the endothelial cells of the developing heart that regulate chamber and valve morphogenesis. Myocardial activity generates forces on the intracardiac blood, creating pressure gradients across the cardiac wall. These pressures may also serve as epigenetic signals. In this article, the fluid dynamics of the early stages of heart development is reviewed. The relevant work in cardiac morphology, muscle mechanics, regulatory networks, and electrophysiology is also reviewed in the context of intracardial fluid dynamics.

show abstract

Section: Pumping Mechanisms Of the Heart Tubementioning

confidence: 87%

Section: Pumping Mechanisms Of the Heart Tubementioning

confidence: 98%

Section: Pumping Mechanisms Of the Heart Tubementioning

confidence: 99%

See 1 more Smart Citation

Fluid Dynamics of Heart Development

Santhanakrishnan

Miller

2011

Cell Biochem Biophys

View full text Add to dashboard Cite

show abstract

“…The mechanisms of valveless pumping have been observed in both physical experiments (Donders, 1859;Hickerson et al, 2005;Kilner, 1987;Liebau, 1954Liebau, , 1955Liebau, , 1957Rinderknecht et al, 2005) and in numerical simulations (Auerbach et al, 2004;Jung, 1999;Jung and Peskin, 2001;Manopoulos et al, 2006;Moser et al, 1998;Ottesen, 2003;Thomann, 1978). In particular, a new unpredictable phenomenon of valveless pumping was reported in previous work on the two-dimensional simulations of valveless pumping using the immersed boundary method: the direction and magnitude of a net flow are dependent on the parameters of the driving function, such as frequency or amplitude (Jung, 1999;Jung and Peskin, 2001).…”

Section: Introductionmentioning

confidence: 96%

A Mathematical Model of Valveless Pumping: A Lumped Model with Time-Dependent Compliance, Resistance, and Inertia

Jung

2007

Bull. Math. Biol.

View full text Add to dashboard Cite

A new lumped model of flow driven by pumping without valves is presented, motivated by biomedical applications: the circulation of the human fetus before the development of the heart valves and mechanism of blood flow during the external cardiopulmonary resuscitation (CPR). The phenomenon of existence of a unidirectional net flow around a loop of tubing that consists of two different compliances is called valveless pumping. The lumped parameter model of valveless pumping in this paper is governed by the ordinary differential equations for pressure and flow, with time-dependent compliance, resistance, and inertia. This simple model can represent the essential features of valveless pumping we observed in earlier mathematical models and physical experiments of valveless pumping. We demonstrate that not only parameters of the driving function, such as frequency or amplitude, but also physical parameters, such as wall thickness and tube stiffness, are important in determining the direction and magnitude of a net flow. In this system, we report two new and interesting phenomena of valveless pumping: One is that the shifted peak frequency can be predicted by the pulsewave speed and the other is that time-dependent resistance is a crucial factor in generating valveless pumping. We also demonstrate that this lumped model can be extended to a one-dimensional flow model of valveless pumping and explain why a linear case, the case of the constant compliance, resistance, and inertia, generates almost zero net flow. This emphasizes that the nonlinearity of valveless pumping is also an important factor to generate a net flow in a closed loop model of valveless pumping.

show abstract

“…They showed that the direction and magnitude of the net flow was non-linearly related to the pumping position and frequency in the valveless pump. Hickerson et al (2005) experimentally examined the behavior of the valveless pump by varying several parameters, and he suggested that the main pumping mechanism was driven by the wave reflection at the tube ends due to the differing impedance values of the elastic and rigid tubes. Using this concept, Hickerson and Gharib (2006) developed a one-dimensional model based on the interaction between the propagating and reflecting pressure waves in the elastic tube.…”

Section: Introductionmentioning

confidence: 99%