An Immersed Boundary Heart Model Coupled with a Multicompartment Lumped Model of the Circulatory System

Kim, Yongsam; Lee, Wanho; Jung, Eunok

doi:10.1137/090761963

Cited by 3 publications

(4 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The elastic tube model is governed by a two-dimensional full Navier-Stokes system, whereas the system 0.5000 s 10 10 0.5125 s A volume-conserved IB method is employed for solving the elastic tube, and the Runge-Kutta-Fehlberg method is used for solving the ODE model for tanks. We have modified the algorithm that was developed for solving the heart model in the whole circulatory system in [16]. The fluid solver is the same; the critical point is how it is combined with the ODE system.…”

Section: Discussionmentioning

confidence: 99%

“…The flux passing through these regions is derived from the energy principle of the fluid parcels in tanks; furthermore, the pressure on these regions can be calculated from the Navier-Stokes equations associated with the source/sink. This type of bridging method has been developed recently by Jung et al for heart simulations [16]. Modeling the pressure-flux relationship in the source/sink regions becomes the key idea in our bridging approach.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multidimensional Open System for Valveless Pumping

Jung¹,

Kim²,

Lee³

et al. 2015

Bulletin of the Korean Mathematical Society

Self Cite

View full text Add to dashboard Cite

Abstract. In this study, we present a multidimensional open system for valveless pumping (VP). This system consists of an elastic tube connected to two open tanks filled with a fluid under gravity. The twodimensional elastic tube model is constructed based on the immersed boundary method, and the tank model is governed by a system of ordinary differential equations based on the work-energy principle. The flows into and out of the elastic tube are modeled in terms of the source/sink patches inside the tube. The fluid dynamics of this system is generated by the periodic compress-and-release action applied to an asymmetric region of the elastic tube. We have developed an algorithm to couple these partial differential equations and ordinary differential equations using the pressure-flow relationship and the linearity of the discretized Navier-Stokes equations. We have observed the most important feature of VP, namely, the existence of a unidirectional net flow in the system. Our computations are focused on the factors that strongly influence the occurrence of unidirectional flows, for example, the frequency, compression duration, and location of pumping. Based on these investigations, some case studies are performed to observe the details of the flow features.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multidimensional Open System for Valveless Pumping

Jung¹,

Kim²,

Lee³

et al. 2015

Bulletin of the Korean Mathematical Society

Self Cite

View full text Add to dashboard Cite

show abstract

“…Note that the first system has the divergence-free condition, while the other systems lack both convection and force terms. Since all systems exclude the flow term Q n+1 j , the velocities (u f , u j ) and pressures ( p f , p j ) for j∈J in (22)-(25) can be calculated using the volume conserved IB method and the FFT algorithm (Kim et al 2010;Peskin and Printz 1993).…”

Section: The Combined Pde Heart and Lumped Circulation Modelmentioning

confidence: 99%

“…The ALE approach was also used to study the fluid-structure analysis for cardiopulmonary bypass (Guadagni et al 2001) and the fluid-solid interactions for blood flow in arterial structures (Hose et al 2002;Mirabella et al 2013;Rutten 1998). Recently, Kim et al modified Adeler's left heart model and coupled it with a closed circulation system governed by a multi-compartment lumped model (Kim et al 2010). In Kim's model, the intracardiac motions of the blood and the left side of the heart, including the mitral valve, can be observed; pressures and flows can also be observed in the arteries and veins.…”

Section: Introductionmentioning

confidence: 99%

A Multiscale Model of Cardiovascular System Including an Immersed Whole Heart in the Cases of Normal and Ventricular Septal Defect (VSD)

Lee¹,

Jung

2015

Bull Math Biol

Self Cite

View full text Add to dashboard Cite

A mathematical and computational model combining the heart and circulatory system has been developed to understand the hemodynamics of circulation under normal conditions and ventricular septal defect (VSD). The immersed boundary method has been introduced to describe the interaction between the moving two-dimensional heart and intracardiac blood flow. The whole-heart model is governed by the Navier-Stokes system; this system is combined with a multi-compartment model of circulation using pressure-flow relations and the linearity of the discretized Navier-Stokes system. We investigate the velocity field, flowmeters, and pressure-volume loop in both normal and VSD cases. Simulation results show qualitatively good agreements with others found in the literature. This model, combining the heart and circulation, is useful for understanding the complex, hemodynamic mechanisms involved in normal circulation and cardiac diseases.

show abstract

3D Simulations of Blood Flow Dynamics in Compliant Vessels: Normal, Aneurysmal, and Stenotic Arteries

Kim

Park

Lim

2016

Commun. Comput. Phys.

View full text Add to dashboard Cite

Arterial diseases such as aneurysm and stenosis may result from the mechanical and/or morphological change of an arterial wall structure and correspondingly altered hemodynamics. The development of a 3D computational model of blood flow can be useful to study the hemodynamics in major blood vessels and may provide an insight into the noninvasive technique to detect arterial diseases in early stage. In this paper, we present a three-dimensional model of blood flow in the aorta, which is based on the immersed boundary method to describe the interaction of blood flow with the aortic wall. Our simulation results show that the hysteresis loop is evident in the pressure-diameter relationship of the normal aorta when the arterial wall is considered to be viscoelastic. In addition, it is shown that flow patterns and pressure distributions are altered in response to the change of aortic morphology.

show abstract

An Immersed Boundary Heart Model Coupled with a Multicompartment Lumped Model of the Circulatory System

Cited by 3 publications

References 30 publications

Multidimensional Open System for Valveless Pumping

Multidimensional Open System for Valveless Pumping

A Multiscale Model of Cardiovascular System Including an Immersed Whole Heart in the Cases of Normal and Ventricular Septal Defect (VSD)

3D Simulations of Blood Flow Dynamics in Compliant Vessels: Normal, Aneurysmal, and Stenotic Arteries

Contact Info

Product

Resources

About