Noninvasive Measurement of Time-Varying Three-Dimensional Relative Pressure Fields Within the Human Heart

Ebbers, Tino; Wigström, Lars; Bolger, Ann F.; Wranne, Bengt; Karlsson, Matts

doi:10.1115/1.1468866

Cited by 112 publications

(86 citation statements)

References 29 publications

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“…In this study, however, using this approach on a more complicated domain, like a c-shape, revealed a systematic underestimation of the pressure amplitudes. These results were confirmed by a brief comparison using the exact implementation of a previously published PPE solver (18). This is rather surprising considering the amount of validation performed.…”

Section: Discussionmentioning

confidence: 57%

“…Use of an iterative approach with a quasirectangular domain has become popular for the computation of relative pressure fields from velocity MRI due to its simplicity (13,(17)(18)(19)(20). The computational intensity required has often been mentioned as the main drawback of this method (14).…”

Section: Discussionmentioning

confidence: 99%

“…A popular workaround has been to use a modified, quasirectangular domain by solving the problem iteratively on the rectangular bounding box of the domain using different variants of the Jacobian method and repeatedly modifying the pressure gradients outside the domain to match the concurrent pressure solution. Using this method, relative pressure fields in the left ventricular (14,17,18) and aortic cavities (19,20) have been described.…”

mentioning

confidence: 99%

“…The accuracy of the pressure field computation from velocity MRI using this method has been validated extensively using both phantom studies and in vivo comparisons with catheter measurements (17,18,20,21), but mainly for structures of interest with simple geometries, such as the approximately spherical cardiac chambers. The obtained pressure field may be less accurate for structures with more complex external or internal configurations.…”

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confidence: 99%

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Improving computation of cardiovascular relative pressure fields from velocity MRI

Ebbers

Farnebäck

2009

Magnetic Resonance Imaging

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Purpose: To evaluate a multigrid-based solver for the pressure Poisson equation (PPE) with Galerkin coarsening, which works directly on the specified domain, for the computation of relative pressure fields from velocity MRI data. Materials and Methods:We compared the proposed structure-defined Poisson solver to other popular Poisson solvers working on unmodified rectangular and modified quasirectangular domains using synthetic and in vitro phantoms in which the mathematical solution of the pressure field is known, as well as on in vivo MRI velocity measurements of aortic blood flow dynamics.Results: All three PPE solvers gave accurate results for convex computational domains. Using a rectangular or quasirectangular domain on a more complicated domain, like a c-shape, revealed a systematic underestimation of the pressure amplitudes, while the proposed PPE solver, working directly on the specified domain, provided accurate estimates of the relative pressure fields. Conclusion:Popular iterative approaches with quasirectangular computational domains can lead to significant systematic underestimation of the pressure amplitude. We suggest using a multigrid-based PPE solver with Galerkin coarsening, which works directly on the structure-defined computational domain. This solver provides accurate estimates of the relative pressure fields for both simple and complex geometries with additional significant improvements with respect to execution speed.

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Section: Discussionmentioning

confidence: 57%

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Improving computation of cardiovascular relative pressure fields from velocity MRI

Ebbers

Farnebäck

2009

Magnetic Resonance Imaging

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“…These pressure gradients can be integrated along any line to obtain the pressure difference (34). Further, by solving the pressure Poisson equation, the complete 3D pressure field can be obtained throughout the heart (35,36). This technique has been applied to measurement of the pressure field in the normal human heart during early and late diastolic filling, as well as systole.…”

Section: Flow Visualization and Quantification Techniquesmentioning

confidence: 99%

Flow Imaging: Cardiac Applications of 3D Cine Phase-Contrast MRI

Ebbers

2011

Curr Cardiovasc Imaging Rep

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Global and regional blood flow dynamics are of pivotal importance to cardiac function. Fluid mechanical forces can affect hemolysis and platelet aggregation, as well as myocardial remodeling. In recent years, assessment of blood flow patterns based on time-resolved, three-dimensional, three-directional phasecontrast magnetic resonance imaging (3D cine PC MRI)(1) has become possible and rapidly gained popularity. Initially, this technique was mainly known for its intuitive and appealing visualizations of the cardiovascular blood flow. Most recently, the technique has begun to go beyond compelling images towards comprehensive and quantitative assessment of blood flow. In this article, cardiac applications of 3D cine PC MRI data are discussed, starting with a review of the acquisition and analysis techniques, and including descriptions of promising applications of cardiac 3D cine PC MRI for the clinical evaluation of myocardial, valvular and vascular disorders.3

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Reducing the impact of geometric errors in flow computations using velocity measurements

Nolte

Bertoglio

2019

Numer Methods Biomed Eng

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Numerical blood flow simulations are typically set up from anatomical medical images and calibrated using velocity measurements. However, the accuracy of the computational geometry itself is limited by the resolution of the anatomical image. We first show that applying standard no‐slip boundary conditions on inaccurately extracted boundaries can cause large errors in the results, in particular the pressure gradient. In this work, we therefore propose to augment the flow model calibration by slip/transpiration boundary conditions, whose parameters are then estimated using velocity measurements. Numerical experiments show that this methodology can considerably improve the accuracy of the estimated pressure gradients and 3D velocity fields when the vessel geometry is uncertain.

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Noninvasive Measurement of Time-Varying Three-Dimensional Relative Pressure Fields Within the Human Heart

Cited by 112 publications

References 29 publications

Improving computation of cardiovascular relative pressure fields from velocity MRI

Improving computation of cardiovascular relative pressure fields from velocity MRI

Flow Imaging: Cardiac Applications of 3D Cine Phase-Contrast MRI

Reducing the impact of geometric errors in flow computations using velocity measurements

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