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View article: Parameter estimation in fluid flow models from undersampled frequency space data
Parameter estimation in fluid flow models from undersampled frequency space data Open
4D Flow MRI is the state of the art technique for measuring blood flow, and it provides valuable information for inverse problems in the cardiovascular system. However, 4D Flow MRI has a very long acquisition time, straining healthcare res…
View article: A software benchmark for cardiac elastodynamics
A software benchmark for cardiac elastodynamics Open
In cardiovascular mechanics, reaching consensus in simulation results within a physiologically relevant range of parameters is essential for reproducibility purposes. Although currently available benchmarks contain some of the features tha…
View article: Denoising of dual‐VENC PC‐MRI with large high/low VENC ratios
Denoising of dual‐VENC PC‐MRI with large high/low VENC ratios Open
Purpose Dual velocity encoding PC‐MRI can produce spurious artifacts when using high ratios of velocity encoding values (VENCs), limiting its ability to generate high‐quality images across a wide range of encoding velocities. This study ai…
View article: Distributed parameter identification for the Navier–Stokes equations for obstacle detection
Distributed parameter identification for the Navier–Stokes equations for obstacle detection Open
We present a parameter identification problem for a scalar permeability field and the maximum velocity in an inflow, following a reference profile. We utilize a modified version of the Navier–Stokes equations, incorporating a permeability …
View article: A comparison of phase unwrapping methods in velocity‐encoded MRI for aortic flows
A comparison of phase unwrapping methods in velocity‐encoded MRI for aortic flows Open
Purpose The phase of a MRI signal is used to encode the velocity of blood flow. Phase unwrapping artifacts may appear when aiming to improve the velocity‐to‐noise ratio (VNR) of the measured velocity field. This study aims to compare vario…
View article: Convergence analysis of pressure reconstruction methods from discrete velocities
Convergence analysis of pressure reconstruction methods from discrete velocities Open
Magnetic resonance imaging allows the measurement of the three-dimensional velocity field in blood flows. Therefore, several methods have been proposed to reconstruct the pressure field from such measurements using the incompressible Navie…
View article: Parameter estimation in fluid flow models from aliased velocity measurements
Parameter estimation in fluid flow models from aliased velocity measurements Open
Parameter estimation in blood flow models from measured velocity data—as e.g. velocity-encoded MRI—is a key step for patient-specific hemodynamic analysis. However, velocity encoding suffers from competing noise and aliasing artifacts, whi…
View article: Parameter estimation in fluid flow models from aliased velocity measurements
Parameter estimation in fluid flow models from aliased velocity measurements Open
Parameter estimation in blood flow models from measured velocity data—as e.g. velocity-encoded MRI—is a key step for patient-specific hemodynamic analysis. However, velocity encoding suffers from competing noise and aliasing artifacts, whi…
View article: Comparison of Improved <scp>Unidirectional</scp> Dual <scp>Velocity‐Encoding MRI</scp> Methods
Comparison of Improved <span>Unidirectional</span> Dual <span>Velocity‐Encoding MRI</span> Methods Open
Background In phase‐contrast (PC) MRI, several dual velocity encoding methods have been proposed to robustly increase velocity‐to‐noise ratio (VNR), including a standard dual‐VENC (SDV), an optimal dual‐VENC (ODV), and bi‐ and tricondition…
View article: Inverse problems in blood flow modeling: A review
Inverse problems in blood flow modeling: A review Open
Mathematical and computational modeling of the cardiovascular system is increasingly providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it has the potential for generating additional diagnostic marke…
View article: Assessment of 4D Flow MRI’s quality by verifying its Navier-Stokes compatibility
Assessment of 4D Flow MRI’s quality by verifying its Navier-Stokes compatibility Open
4D Flow Magnetic Resonance Imaging (MRI) is the state-of-the-art technique to comprehensively measure the complex spatio-temporal and multidirectional patterns of blood flow. However, it is subject to artifacts such as noise and aliasing, …
View article: Assessment of <scp>4D</scp> flow <scp>MRI</scp>'s quality by verifying its <scp>Navier–Stokes</scp> compatibility
Assessment of <span>4D</span> flow <span>MRI</span>'s quality by verifying its <span>Navier–Stokes</span> compatibility Open
4D Flow Magnetic Resonance Imaging (MRI) is the state‐of‐the‐art technique to comprehensively measure the complex spatio‐temporal and multidirectional patterns of blood flow. However, it is subject to artifacts such as noise and aliasing, …
View article: Multiple motion encoding in phase-contrast MRI: A general theory and application to elastography imaging
Multiple motion encoding in phase-contrast MRI: A general theory and application to elastography imaging Open
While MRI allows to encode the motion of tissue in the magnetization's phase, it remains yet a challenge to obtain high fidelity motion images due to wraps in the phase for high encoding efficiencies. Therefore, we propose an optimal multi…
View article: Multiple motion encoding in Phase-Contrast MRI: A general theory and application to elastography imaging
Multiple motion encoding in Phase-Contrast MRI: A general theory and application to elastography imaging Open
Purpose: Phase-contrast (PC) MRI allows to encode the motion of tissue in the magnetization's phase. Yet, it remains a challenge to obtain high fidelity motion images due aliasing in the phase for high encoding efficiencies. Therefore, we …
View article: Error analysis of pressure reconstruction from discrete velocities
Error analysis of pressure reconstruction from discrete velocities Open
Magnetic Resonance Imaging allows to measure the three-dimensional velocity field in blood flows. There- fore, several methods have been proposed to reconstruct the pressure field from such measurements using the incompressible Navier-Stok…
View article: Reconstruction of the Pressure in the Method of Asymptotic Partial Decomposition for the Flows in Tube Structures
Reconstruction of the Pressure in the Method of Asymptotic Partial Decomposition for the Flows in Tube Structures Open
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View article: A distributed resistance inverse method for flow obstacle identification from internal velocity measurements
A distributed resistance inverse method for flow obstacle identification from internal velocity measurements Open
We present a penalization parameter method for obstacle identification in an incompressible fluid flow for a modified version of the Oseen equations. The proposed method consists in adding a high resistance potential to the system such tha…
View article: Using parametric model order reduction for inverse analysis of large nonlinear cardiac simulations
Using parametric model order reduction for inverse analysis of large nonlinear cardiac simulations Open
Predictive high‐fidelity finite element simulations of human cardiac mechanics commonly require a large number of structural degrees of freedom. Additionally, these models are often coupled with lumped‐parameter models of hemodynamics. Hig…
View article: Validation of 4D-flow-based pressure difference estimators
Validation of 4D-flow-based pressure difference estimators Open
Purpose: The pressure difference across stenotic blood vessels serves as an important clinical index for the diagnosis of many cardiovascular diseases. While the clinical gold standard for pressure difference measurements is invasive cathe…
View article: Reducing the impact of geometric errors in flow computations using velocity measurements
Reducing the impact of geometric errors in flow computations using velocity measurements Open
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 imag…
View article: Automatic mapping of atrial fiber orientations for patient‐specific modeling of cardiac electromechanics using image registration
Automatic mapping of atrial fiber orientations for patient‐specific modeling of cardiac electromechanics using image registration Open
Knowledge of appropriate local fiber architecture is necessary to simulate patient‐specific electromechanics in the human heart. However, it is not yet possible to reliably measure in vivo fiber directions especially in human atria. Thus, …