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Eight activists are facing federal charges for their Palestine solidarity activism in Michigan.
On Wednesday morning, the FBI raided the homes of seven of the activists, and prosecutors unsealed an indictment against them and another activist following their arrest.
The federal government is charging the activists – most of whom attended the University of Michigan in Ann Arbor – with carrying out a “criminal intimidation campaign” against university administrators in an attempt t…

@arXiv_physicsmedph_bot@mastoxiv.page
2026-07-21 07:55:04

Theoretical derivation of blood velocity from TOF-MRA based artery centerline
Abrar Faiyaz
arxiv.org/abs/2607.16498 arxiv.org/pdf/2607.16498 arxiv.org/html/2607.16498
arXiv:2607.16498v1 Announce Type: new
Abstract: Time-of-flight magnetic resonance angiography (TOF-MRA) is widely used for structural vascular imaging, but extracting functional hemodynamics like blood velocity typically requires supplementary phase-contrast scans. This study proposes a novel, physics-informed computational framework to extract variable fluid velocity directly from standard TOF-MRA signal profiles. We analytically expand the Bloch equations into Bloch-McConnell flow equations, establishing a mathematical relationship between the spatial decay of longitudinal magnetization and fluid velocity. To validate this derivation and overcome the limitations of constant-velocity assumptions, a MATLAB simulation framework was developed to model fluid flow in two variable-geometry flowing tube cases i.e continuous tapering and focal stenosis -under synthetic scanner noise. A global inverse optimization approach utilizing Dual-Tikhonov regularization was deployed to stably invert the ill-posed transit time integral, actively penalizing high-frequency numerical ringing while preserving structural curve stiffness. The computational sim-ulations successfully recovered ground-truth point-wise velocities, accurately tracking gradual hemodynamic accelerations and sharp stenotic jets. This theoretical framework provides a robust mathematical proof-of-concept that quantitative, localized functional hemodynamic metrics can be extracted from standard structural MRA imaging, estab-lishing a foundation for advanced flow quantification without requiring additional scan time.
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