Results 71 to 80 of about 4,696,479 (281)
Advanced Science, EarlyView.This work shows, for the first time, that the stereocilia membrane in cochlear hair cells is dynamically regulated by the mechanotransduction channel to impact the membrane mechanical properties. This work provides direct evidence that the opening and closing associated with the MET channel is regulating the membrane viscosity suggesting that the MET ...
Shefin Sam George, Anthony J. Ricci
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Eguchi–Hanson Singularities in U(2)-Invariant Ricci Flow [PDF]
Peking Mathematical Journal, 2019 We show that a Ricci flow in four dimensions can develop singularities modeled on the Eguchi–Hanson space. In particular, we prove that starting from a class of asymptotically cylindrical U (2)-invariant initial metrics on $$TS^2$$ T S 2 , a Type II ...
Alexander Appleton
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On the Uniqueness of Ricci Flow
The Journal of Geometric Analysis, 2018 All comments are welcome!
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Schizophrenia Genetics Modulates Clinical Depressive Features
American Journal of Medical Genetics Part B: Neuropsychiatric Genetics, EarlyView.ABSTRACT Schizophrenia (SCZ) genetic liability, quantified by polygenic scores (PGS), may influence clinical phenotypes in major depressive disorder (MDD). We investigated the effect of the SCZ‐PGS derived from the latest SCZ genome‐wide association study (GWAS) on MDD symptom severity, comorbidities, and treatment outcomes.
Alessandro Serretti +13 more
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Evolution of a geometric constant along the Ricci flow
Journal of Inequalities and Applications, 2016 In this paper, we establish the first variation formula of the lowest constant λ a b ( g ) $\lambda_{a}^{b}(g)$ along the Ricci flow and the normalized Ricci flow, such that to the following nonlinear equation there exist positive solutions: − Δ u + a u ...
Guangyue Huang, Zhi Li
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Propagation of symmetries for Ricci shrinkers
Advanced Nonlinear Studies, 2023 We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for ...
Colding Tobias Holck +1 more
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Mean curvature flow in a Ricci flow background
, 2012 Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow.
B. Kleiner +14 more
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The Ricci flow for nilmanifolds
Journal of Modern Dynamics, 2010 We consider the Ricci flow for simply connected nilmanifolds, which translates to a Ricci flow on the space of nilpotent metric Lie algebras. We consider the evolution of the inner product and the evolution of structure constants, as well as the evolution of these quantities modulo rescaling.
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Targeted Medical Therapies for Vascular Anomalies: A Clinical Review
American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.ABSTRACT Vascular anomalies represent a broad spectrum of disorders characterized by aberrant blood or lymphatic vessel development, which can lead to complex clinical phenotypes. Historically, vascular anomalies were classified solely on the basis of their clinical and histopathologic features.
Whitney Eng
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A design tool for globally developable discrete architectural surfaces using Ricci flow
Japan Architectural Review, 2023 This paper presents an approach for the design of discrete architectural surfaces that are globally developable; that is, having zero Gaussian curvature at every interior node.
Jingyao Zhang, Makoto Ohsaki
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