A coupled mitral valve—left ventricle model with fluid–structure interaction

Gao, Hao; Feng, Liuyang; Qi, Nan; Berry, Colin; Griffith, Boyce E.; Luo, Xiaoyu

doi:10.1016/j.medengphy.2017.06.042

Cited by 67 publications

(72 citation statements)

References 48 publications

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“…In spite of the major advances achieved over the last decade, the full fluid‐structure interaction (FSI) simulation of heart hemodynamics remains a complex and challenging problem . The incompressible Navier‐Stokes equations for blood flow have to be coupled with a biophysical model of the myocardium electromechanics and with a mechanical model of the valves . Among the main difficulties that have to be faced, we can mention the large interfacial displacements and the induced topological changes in the fluid domain when solids come into contact.…”

Section: Introductionmentioning

confidence: 99%

Augmented resistive immersed surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases

This

Boilevin-Kayl

Fernández

et al. 2019

Numer Methods Biomed Eng

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In order to reduce the complexity of heart hemodynamics simulations, uncoupling approaches are often considered for the modeling of the immersed valves as an alternative to complex fluid‐structure interaction (FSI) models. A possible shortcoming of these simplified approaches is the difficulty to correctly capture the pressure dynamics during the isovolumetric phases. In this work, we propose an enhanced resistive immersed surfaces (RIS) model of cardiac valves, which overcomes this issue. The benefits of the model are investigated and tested in blood flow simulations of the left heart where the physiological behavior of the intracavity pressure during the isovolumetric phases is recovered without using fully coupled fluid‐structure models and without important alteration of the associated velocity field.

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Section: Introductionmentioning

confidence: 99%

Augmented resistive immersed surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases

This

Boilevin-Kayl

Fernández

et al. 2019

Numer Methods Biomed Eng

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“…The IBM is a powerful tool for simulating biological fluid-structure interactions as it allows one to solve the fully coupled problem: the boundary both applies a force to the fluid and is deformed by fluid forces. Since its introduction by Peskin over 40 years ago (Peskin, 1972), the IBM has been used and extended to successfully model a variety of problems in biological fluid dynamics at intermediate scales (10 −2 <Re<1000) including insect flight (Miller and Peskin, 2009), lamprey swimming (Tytell et al, 2014), cardiac blood flow (Peskin and McQueen, 1996;Gao et al, 2017) and the formation of blood clots by platelet aggregation (Skorczewski et al, 2014).…”

Section: Immersed Boundary Methodsmentioning

confidence: 99%

A novel mechanism of mixing by pulsing corals

Samson

Miller

Ray

et al. 2019

Journal of Experimental Biology

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The dynamic pulsation of xeniid corals is one of the most fascinating phenomena observed in coral reefs. We quantify for the first time the flow near the tentacles of these soft corals, the active pulsations of which are thought to enhance their symbionts' photosynthetic rates by up to an order of magnitude. These polyps are approximately 1 cm in diameter and pulse at frequencies between approximately 0.5 and 1 Hz. As a result, the frequency-based Reynolds number calculated using the tentacle length and pulse frequency is on the order of 10 and rapidly decays as with distance from the polyp. This introduces the question of how these corals minimize the reversibility of the flow and bring in new volumes of fluid during each pulse. We estimate the Pećlet number of the bulk flow generated by the coral as being on the order of 100-1000 whereas the flow between the bristles of the tentacles is on the order of 10. This illustrates the importance of advective transport in removing oxygen waste. Flow measurements using particle image velocimetry reveal that the individual polyps generate a jet of water with positive vertical velocities that do not go below 0.1 cm s −1 and with average volumetric flow rates of approximately 0.71 cm 3 s −1 . Our results show that there is nearly continual flow in the radial direction towards the polyp with only approximately 3.3% back flow. 3D numerical simulations uncover a region of slow mixing between the tentacles during expansion. We estimate that the average flow that moves through the bristles of the tentacles is approximately 0.03 cm s −1 . The combination of nearly continual flow towards the polyp, slow mixing between the bristles, and the subsequent ejection of this fluid volume into an upward jet ensures the polyp continually samples new water with sufficient time for exchange to occur.Each polyp was filmed with a single camera at 125 or 60 frames s −1 in a quiescent fluid using a Photron SA3 120K camera. Tentacles 2

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“…This approach was further extended by Griffith et al [6] to use adaptive mesh refinement. This methodology has enabled modeling in a number of application areas, including cardiac dynamics [7,8,9,10,11,12,13,14,15], platelet adhesion [16], esophageal transport [17,18,19], heart development [20,21], insect flight [22,23], and undulatory swimming [24,25,26,27,28,29,30].…”

Section: Introduction and Overviewmentioning

confidence: 99%

An immersed interface method for discrete surfaces

Kolahdouz

Bhalla

Craven

et al. 2020

Journal of Computational Physics

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Fluid-structure systems occur in a range of scientific and engineering applications. The immersed boundary (IB) method is a widely recognized and effective modeling paradigm for simulating fluidstructure interaction (FSI) in such systems, but a difficulty of the IB formulation of these problems is that the pressure and viscous stress are generally discontinuous at fluid-solid interfaces. The conventional IB method regularizes these discontinuities, which typically yields low-order accuracy at these interfaces. The immersed interface method (IIM) is an IB-like approach to FSI that sharply imposes stress jump conditions, enabling higher-order accuracy, but prior applications of the IIM have been largely restricted to numerical methods that rely on smooth representations of the interface geometry. This paper introduces an immersed interface formulation that uses only a C 0 representation of the immersed interface, such as those provided by standard nodal Lagrangian finite element methods. Verification examples for models with prescribed interface motion demonstrate that the method sharply resolves stress discontinuities along immersed boundaries while avoiding the need for analytic information about the interface geometry. Our results also demonstrate that only the lowest-order jump conditions for the pressure and velocity gradient are required to realize global second-order accuracy. Specifically, we demonstrate second-order global convergence rates along with nearly second-order local convergence in the Eulerian velocity field, and between first-and second-order global convergence rates along with approximately first-order local convergence for the Eulerian pressure field. We also demonstrate approximately second-order local convergence in the interfacial displacement and velocity along with first-order local convergence in the fluid traction along the interface. As a demonstration of the method's ability to tackle more complex geometries, the present approach is also used to simulate flow in a patient-averaged anatomical model of the inferior vena cava, which is the large vein that carries deoxygenated blood from the lower extremities back to the heart. Comparisons of the general hemodynamics and wall shear stress obtained by the present IIM and a body-fitted discretization approach show that the present method yields results that are in good agreement with those obtained by the body-fitted approach.

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A coupled mitral valve—left ventricle model with fluid–structure interaction

Cited by 67 publications

References 48 publications

Augmented resistive immersed surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases

Augmented resistive immersed surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases

A novel mechanism of mixing by pulsing corals

An immersed interface method for discrete surfaces

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