Results 71 to 80 of about 412,587 (240)
Implementing quantum Ricci curvature [PDF]
, 2018 Quantum Ricci curvature has been introduced recently as a new, geometric observable characterizing the curvature properties of metric spaces, without the need for a smooth structure.
N. Klitgaard, R. Loll
semanticscholar +1 more source
United European Gastroenterology Journal, EarlyView.ABSTRACT Background and Aims Acute necrotising pancreatitis carries high mortality, especially if infected necrosis occurs. While percutaneous drainage may be required when internal drainage is not feasible, reliable guidelines for managing percutaneous drains are lacking.
Marlies Vornhülz +56 more
wiley +1 more source
A complex network perspective on brain disease
Biological Reviews, EarlyView.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
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Rigidity of almost Ricci solitons on compact Riemannian manifolds
AIMS MathematicsConsidering an almost Ricci soliton (ARS) $ \left(N, g, \eta, \kappa \right) $ on a compact Riemannian manifold $ (N, g) $, we use the Ricci curvature in the direction of the potential vector field $ \eta $ to derive necessary and sufficient conditions ...
Mohammed Guediri, Norah Alshehri
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Conservation Biology, EarlyView.Abstract The Natura 2000 (N2K) network of protected areas is one of the main tools for area‐based conservation in the European Union (EU), yet its role in preserving plant biodiversity requires better understanding. We examined data kept in the European Vegetation Archive from over 1.2 million vegetation plots and obtained over 14.2 million plant ...
Michele Di Musciano +41 more
wiley +1 more source
L2 curvature bounds on manifolds with bounded Ricci curvature [PDF]
Annals of Mathematics, 2016 Consider a Riemannian manifold with bounded Ricci curvature $|\Ric|\leq n-1$ and the noncollapsing lower volume bound $\Vol(B_1(p))>\rv>0$. The first main result of this paper is to prove that we have the $L^2$ curvature bound $\fint_{B_1(p)}|\Rm|^2 < C ...
Wenshuai Jiang, A. Naber
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Epilepsia, EarlyView.Abstract Objective This study was undertaken to determine how voltage‐gated sodium channel (VGSC) blockers modulate cortical excitability in vivo. VGSCs are critical for regulating axonal excitability, yet the effects of sodium channel‐blocking medications on human cortical neurons remain poorly characterized.
Lorenzo Rocchi +6 more
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Forman–Ricci communicability curvature of graphs and networks
European Journal of Applied MathematicsGeometric parameters in general and curvature in particular play a fundamental role in our understanding of the structure and functioning of real-world networks. Here, the discretisation of the Ricci curvature proposed by Forman is adapted to capture the
Ernesto Estrada
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Development of a highly active engineered PETase enzyme for polyester degradation
The FEBS Journal, EarlyView.Polyethylene terephthalate (PET) accounts for approximately 6% of global plastic production and is a major contributor to plastic pollution. Enzymatic recycling offers a promising solution, but current PET‐degrading enzymes often lack sufficient thermostability and catalytic efficiency. Through in silico design, we engineered a more robust variant, LCC‐
Shapla Bhattacharya +6 more
wiley +1 more source
Collagen organisation in the fibrous joint capsules in the digits of the human hand
Journal of Anatomy, EarlyView.The function of the finger joints is important for daily life. In this review of the literature, we consider the role of collagen and its organization within the fibrous finger joint capsules of the interphalangeal (IP) joints and investigate the relationships between collagen orientation and joint function. Abstract Normal function of the hand and, in
Fiona R. Saunders +3 more
wiley +1 more source