Computational Modeling of Ventricular Mechanics and Energetics

Smith, Nicolas P.; Stevens, Carey; Hunter, Peter

doi:10.1115/1.1859794

“…The framework for embedding this full coronary mesh in a model of the heart is also in place (Smith et al 2000(Smith et al , 2005. The flow problem can be combined with the deformation of the myocardium of the heart to produce more realistic simulations of blood flow in stented and unstented networks.…”

Section: Discussionmentioning

confidence: 99%

Effects of Stenting on Blood Flow in a Coronary Artery Network Model

Raghu

¹

,

Pullan

²

,

Smith

³

2006

Applied Bionics and Biomechanics

0

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The effect of stenting on blood flow is investigated using a model of the coronary artery network. The parameters in a generic non-linear pressure-radius relationship are varied in the stented region to model the increase in stiffness of the vessel due to the presence of the stent. A computationally efficient form of the Navier-Stokes equation is solved using a Lax-Wendroff finite difference method. Pressure, vessel radius and flow velocity are computed along the vessel segments. Results show negative pressure gradients at the ends of the stent and increased velocity through the middle of the stented region. Changes in local flow patterns and vessel wall stresses due to the presence of the stent have been shown to be important in restenosis of vessels. Local and global pressure gradients affect local flow patterns and vessel wall stresses, and therefore may be an important factor associated with restenosis. The model presented in this study can be easily extended to solve flows for stented vessels in a full, anatomically realistic coronary network. The framework to allow for the effects of the deformation of the myocardium on the coronary network is also in place.

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“…The strength of the methodology presented in this article lies in the fact that it can be implemented in a full coronary artery mesh relatively easily following the procedure used by Smith et al (2002). The framework for embedding this full coronary mesh in a model of the heart is also in place (Smith et al 2000(Smith et al , 2005. The flow problem can be combined with the deformation of the myocardium of the heart to produce more realistic simulations of blood flow in stented and unstented networks.…”

Section: Discussionmentioning

confidence: 99%

“…The principles of modelling blood flow used in this study can be extended in a straightforward manner to anatomically realistic coronary artery meshes. The framework to allow the mechanics of the heart is already in place for more detailed future models (Smith et al 2005). A finite difference grid based on an underlying finite element coronary artery mesh is used in this study (Figure 1).…”

Section: Introductionmentioning

confidence: 99%

Effects of Stenting on Blood Flow in a Coronary Artery Network Model

Raghu

¹

,

Pullan

²

,

Smith

³

2006

Applied Bionics and Biomechanics

0

View full text Add to dashboard Cite

The effect of stenting on blood flow is investigated using a model of the coronary artery network. The parameters in a generic non-linear pressure-radius relationship are varied in the stented region to model the increase in stiffness of the vessel due to the presence of the stent. A computationally efficient form of the Navier-Stokes equation is solved using a Lax-Wendroff finite difference method. Pressure, vessel radius and flow velocity are computed along the vessel segments. Results show negative pressure gradients at the ends of the stent and increased velocity through the middle of the stented region. Changes in local flow patterns and vessel wall stresses due to the presence of the stent have been shown to be important in restenosis of vessels. Local and global pressure gradients affect local flow patterns and vessel wall stresses, and therefore may be an important factor associated with restenosis. The model presented in this study can be easily extended to solve flows for stented vessels in a full, anatomically realistic coronary network. The framework to allow for the effects of the deformation of the myocardium on the coronary network is also in place.

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“…Models of ventricular mechanics that deal with the large deformation of the heart wall are available (Smith et al . ). In addition, detailed models of the coronary circulation are also now available (Sinclair et al .…”

Section: Relationship Of the Cardiovascular System To Other Organ Sysmentioning

confidence: 97%

Roadmap for cardiovascular circulation model

Safaei

¹

,

Bradley

²

,

Suresh

³

et al. 2016

The Journal of Physiology

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Computational models of many aspects of the mammalian cardiovascular circulation have been developed. Indeed, along with orthopaedics, this area of physiology is one that has attracted much interest from engineers, presumably because the equations governing blood flow in the vascular system are well understood and can be solved with well-established numerical techniques. Unfortunately, there have been only a few attempts to create a comprehensive public domain resource for cardiovascular researchers. In this paper we propose a roadmap for developing an open source cardiovascular circulation model. The model should be registered to the musculo-skeletal system. The computational infrastructure for the cardiovascular model should provide for near real-time computation of blood flow and pressure in all parts of the body. The model should deal with vascular beds in all tissues, and the computational infrastructure for the model should provide links into CellML models of cell function and tissue function. In this work we review the literature associated with 1D blood flow modelling in the cardiovascular system, discuss model encoding standards, software and a model repository. We then describe the coordinate systems used to define the vascular geometry, derive the equations and discuss the implementation of these coupled equations in the open source computational software OpenCMISS. Finally, some preliminary results are presented and plans outlined for the next steps in the development of the model, the computational software and the graphical user interface for accessing the model.

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Computational Modeling of Ventricular Mechanics and Energetics

Cited by 9 publications

References 87 publications

Effects of Stenting on Blood Flow in a Coronary Artery Network Model

Effects of Stenting on Blood Flow in a Coronary Artery Network Model

Effects of Stenting on Blood Flow in a Coronary Artery Network Model

Roadmap for cardiovascular circulation model

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