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Geometrically modulated contact forces enable hula hoop levitation.

Proc Natl Acad Sci U S A

January 2025

Applied Mathematics Laboratory, Courant Institute of Mathematical Sciences, Department of Mathematics, New York University, New York, NY 10012.

Mechanical systems with moving points of contact-including rolling, sliding, and impacts-are common in engineering applications and everyday experiences. The challenges in analyzing such systems are compounded when an object dynamically explores the complex surface shape of a moving structure, as arises in familiar but poorly understood contexts such as hula hooping. We study this activity as a unique form of mechanical levitation against gravity and identify the conditions required for the stable suspension of an object rolling around a gyrating body.

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Understanding structure-mechanical activity relationships (SMARs) in polymer mechanochemistry is essential for the rational design of mechanophores with desired properties, yet SMARs in noncovalent mechanical transformations remain relatively underexplored. In this study, we designed a subset of diarylethene mechanophores based on a lever-arm hypothesis and systematically investigated their mechanical activity toward a noncovalent-yet-chemical conversion of atropisomer stereochemistry. Results from Density functional theory (DFT) calculations, single-molecule force spectroscopy (SMFS) measurements, and ultrasonication experiments collectively support the lever-arm hypothesis and confirm the exceptional sensitivity of chemo-mechanical coupling in these atropisomers.

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Background: Objective structured clinical examinations (OSCEs) are a widely recognized and accepted method to assess clinical competencies but are often resource-intensive.

Objective: This study aimed to evaluate the feasibility and effectiveness of a virtual reality (VR)-based station (VRS) compared with a traditional physical station (PHS) in an already established curricular OSCE.

Methods: Fifth-year medical students participated in an OSCE consisting of 10 stations.

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Health care is undergoing a "revolution," where patients are becoming consumers and armed with apps, consumer review scores, and, in some countries, high out-of-pocket costs. Although economic analyses and health technology assessment (HTA) have come a long way in their evaluation of the clinical, economic, ethical, legal, and societal perspectives that may be impacted by new technologies and procedures, these approaches do not reflect underlying patient preferences that may be important in the assessment of "value" in the current value-based health care transition. The major challenges that come with the transformation to a value-based health care system lead to questions such as "How are economic analyses, often the basis for policy and reimbursement decisions, going to switch from a societal to an individual perspective?" and "How do we then assess (economic) value, considering individual preference heterogeneity, as well as varying heuristics and decision rules?" These challenges, related to including the individual perspective in cost-effectiveness analysis (CEA), have been widely debated.

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Objective: To compare the diagnostic capability of Pöschl reformations created from temporal bone CT (TBCT) and high-resolution noncontrast CT head exams (HR-NECTH) to detect and classify superior semicircular canal (SSC) abnormalities.

Study Design: Retrospective case review.

Setting: Tertiary referral center.

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