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Field free point (FFP) trajectory modulation. Temporal progress of FFP and SPION position in laboratory system (xFFP(t),xs(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_{\mathrm{FFP}}(t), x_{\mathrm{s}}(t)$$\end{document}) and reference frame of the nanoparticles (xFFP′(t),xs′(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_{\mathrm{FFP}}^{\prime }(t), x_{\mathrm{s}}^{\prime }(t)$$\end{document}) for static and moving SPIONs. The modulation of the FFP trajectory in the SPIONs’ reference system xFFP′(t)=xFFP(t)+vst\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_{\mathrm{FFP}}^{\prime }(t) = x_{\mathrm{FFP}}(t) + v_{\mathrm{s}} t$$\end{document} is caused by the particles’ motion in the laboratory system.

Field free point (FFP) trajectory modulation. Temporal progress of FFP and SPION position in laboratory system (xFFP(t),xs(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_{\mathrm{FFP}}(t), x_{\mathrm{s}}(t)$$\end{document}) and reference frame of the nanoparticles (xFFP′(t),xs′(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_{\mathrm{FFP}}^{\prime }(t), x_{\mathrm{s}}^{\prime }(t)$$\end{document}) for static and moving SPIONs. The modulation of the FFP trajectory in the SPIONs’ reference system xFFP′(t)=xFFP(t)+vst\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_{\mathrm{FFP}}^{\prime }(t) = x_{\mathrm{FFP}}(t) + v_{\mathrm{s}} t$$\end{document} is caused by the particles’ motion in the laboratory system.

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... We strive to identify closely aligned values between the flap and recipient vessels. [3][4][5] Patientspecific factors such as heart rate and blood pressure must be factored in; individuals with bradycardia or hypotension may exhibit distinct flow velocity values. Similarly, fever in a patient may manifest systemic inflammatory responses that could introduce bias during ultrasound assessment. ...
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Magnetic particle imaging (MPI) is an emerging non‐invasive tomographic technique based on the response of magnetic nanoparticles (MNPs) to oscillating drive fields at the center of a static magnetic gradient. In contrast to magnetic resonance imaging (MRI), which is driven by uniform magnetic fields and projects the anatomic information of the subjects, MPI directly tracks and quantifies MNPs in vivo without background signals. Moreover, it does not require radioactive tracers and has no limitations on imaging depth. This article first introduces the basic principles of MPI and important features of MNPs for imaging sensitivity, spatial resolution, and targeted biodistribution. The latest research aiming to optimize the performance of MPI tracers is reviewed based on their material composition, physical properties, and surface modifications. While the unique advantages of MPI have led to a series of promising biomedical applications, recent development of MPI in investigating vascular abnormalities in cardiovascular and cerebrovascular systems, and cancer are also discussed. Finally, recent progress and challenges in the clinical translation of MPI are discussed to provide possible directions for future research and development.
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