A fast 4D B-spline framework for model-based reconstruction and regularization in vector flow imaging

A generic framework for model-based regularization and reconstruction is described, with applications in a wide range of noisy measurement scenarios. The framework employs automatic differentiation and stochastic gradient optimizers to perform online measurement fitting and regularization, and was implemented as a scalable CPU and GPU library with highperformance operation even in compute- or memory-intensive contexts, such as for 4D cardiac vector flow imaging. The framework was demonstrated by reconstructing 4D vector flow mapping through the incorporation of the incompressible NavierStokes equations. Furthermore, the achieved performance was within bedside applicability requirements

Synthetic vascular ultrasound imaging through coupled fluid-structure interaction and ultrasound simulations

Although ultrasonic imaging is commonly applied in cardiovascular research and clinical practice, current blood flow and vessel wall imaging methods are still hampered by several limitations. We developed a simulation environment integrating ultrasound (US) and fluid-structure interaction (FSI) simulations, allowing construction of synthetic US-images based on physiologically realistic behavior of an artery. An in-house code was developed to strongly couple the flow solver Fluent and structural solver Abaqus using an Interface Quasi-Newton technique. A distensible tube, representing the common carotid artery (length 5cm, inner diameter 6 mm, thickness 1 mm), was simulated. A mass flow inlet boundary condition, based on flow measured in a healthy subject, was applied. A downstream pressure condition, based on a non-invasively measured pressure waveform, was used. US-simulations were performed with Field II, allowing to model realistic transducers and scan sequences as used in clinical vascular imaging. To this end, scatterers were "seeded" in the fluid and structural domain and propagated during the simulated scan procedure based on flow and structural displacement fields from FSI. Simulations yielded raw ultrasound (RF) data, which were processed for arterial wall distension and shear rate imaging. Our simulations demonstrated that (i) the wall distension application is sensitive to measurement location (highest distension found when tracking the intima-lumen transition); (ii) strong reflections between tissue transitions can potentially cloud a correct measurement; (iii) maximum shear rate was underestimated during the complete cardiac cycle, with largest discrepancy during peak systole; (iv) due to difficulties measuring near-wall velocities with US, shear rate reached its maximal value at a distance from the wall (0.812 mm for anterior and 0.689 mm for posterior side). We conclude that our FSI-US simulation environment provides realistic RF-signals which can be processed into ultrasound-derived medical images and measurements

Shunt quantification in congenital heart disease based on two-dimensional speckle tracking

In this work we investigated how high frame rate speckle tracking based on plane wave imaging could be used to improve the quantification of peak velocities in shunt flows due to septal defects. Simulated jet flow was used to optimize acquisition and tracking parameters. In vivo, a packet based acquisition scheme was used where focused B-mode scans were interleaved high frame rate flow images (100 fps). Results showed that speckle tracking provides calibrated velocities in the shunt flow throughout the cardiac cycle, and improved estimates of peak velocities used for diagnosing shunt severity were acquired

The accuracy of volume flow measurements derived from pulsed wave Doppler: a study in the complex setting of forearm vascular access for hemodialysis

Purpose: Maturation of an arterio-venous fistula (AVF) frequently fails, with low postoperative fistula flow as a prognostic marker for this event. As pulsed wave Doppler (PWD) is commonly used to assess volume flow, we studied the accuracy of this measurement in the setting of a radio-cephalic AVF. Methods: As in-vivo validation of fistula flow measurements is cumbersome, we performed simulations, integrating computational fluid dynamics with an ultrasound (US) simulator. Flow in the arm was calculated, based on a patient-specific model of the arm vasculature pre and post AVF creation. Next, raw ultrasound signals were simulated, from which the Doppler spectra were calculated in both a proximal (brachial) and a distal (radial) location. Results: The velocity component in the direction of the US beam, in a centred, small, sample volume, can be captured accurately using PWD spectrum mean-tracking. However, deriving flow rate from these measurements is prone to errors: (i) the angle-correction which is influenced by the radial velocity components in the complex flow field; (ii) the largest error is introduced due to a lack of knowledge on the spatial flow profile

Multiphysics modeling to support the development of vascular ultrasound imaging

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A multi-angle plane wave imaging approach for high frequency 2D flow visualization in small animals: simulation study in the murine arterial system

To preclinically investigate the role of hemodynamics in atherogenesis, mouse models are particularly useful due to the rapid disease development. As such, murine blood flow visualization has become an important tool, with current US systems equipped with traditional 1D flow imaging techniques, lacking spatial and/or temporal resolution to accurately resolve in-vivo flow fields. Hence, we investigated multi-angle plane wave imaging for ultrafast, 2D vector flow visualization and compared this approach with conventional pulsed Doppler in the setting of a mouse aorta with abdominal aortic aneurysm. For this purpose, we used a multiphysics model which allowed direct comparison of synthetic US images with the true flow field behind the image. In case of the abdominal aorta, we showed the mean flow estimation improved 9 % when using 2D vector Doppler compared to conventional Doppler, but still underestimated the true flow because the full spatial velocity distribution remained unknown. We also evaluated a more challenging measurement location, the mesenteric artery (aortic side branch), often assessed in a short-axis view close to the origin of the branch to avoid the smaller dimensions downstream. Even so, complex out-ofplane flow dynamics hampered a reliable flow assessment for both techniques. Hence, both cases illustrated the need for 3D vascular imaging, allowing acquisition of the full 3D spatial velocity profile