Results 41 to 50 of about 138,464 (231)
The pyruvate generator, which causes activation of respiration by extra‐mitochondrial Ca2+, is also present and functional in rat brainstem mitochondria, as it is in other brain regions. This finding is confirmed by experiments with a fully reconstituted malate–aspartate shuttle (MAS).
Grazyna Debska‐Vielhaber +7 more
wiley +1 more source
The values of sectional curvature in indefinite metrics
exaly +3 more sources
Positivity and Kodaira embedding theorem
Kodaira embedding theorem provides an effective characterization of projectivity of a K\"ahler manifold in terms the second cohomology. Recently X. Yang [21] proved that any compact K\"ahler manifold with positive holomorphic sectional curvature must be ...
Ni, Lei, Zheng, Fangyang
core
Curvature and Concentration of Hamiltonian Monte Carlo in High Dimensions [PDF]
In this article, we analyze Hamiltonian Monte Carlo (HMC) by placing it in the setting of Riemannian geometry using the Jacobi metric, so that each step corresponds to a geodesic on a suitable Riemannian manifold.
Holmes, Susan +2 more
core
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source
On sectional curvatures of a Weyl manifold
In [\textit{H. Pedersen} and \textit{K. P. Tod}, Adv. Math. 97, No. 1, 74--109 (1993; Zbl 0778.53041)], it is proved that if \(M\) is a compact positive-definite Einstein-Weyl manifold whose scalar curvature is everywhere strictly negative, then \(M\) is conformal to an Einstein manifold. In this paper, the author shows that if \(M\) is a Weyl manifold,
openaire +4 more sources
An estimate of sectional curvatures of hypersurfaces with positive Ricci curvatures [PDF]
Let M be a hypersurface in Euclidean space and let the Ricci curvature of M be bounded below by some nonnegative constant. In this paper, we estimate the sectional curvature of M in terms of the lower bound of Ricci curvature and the upper bound of mean curvature.
Kim, Ju Seon, Kim, Sang Og
openaire +1 more source
Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon +13 more
wiley +1 more source
The Cross Curvature Flow of 3-manifolds with Negative Sectional Curvature
We introduce a geometric evolution equation for 3-manifolds with sectional curvature of one sign which is in some sense dual to the Ricci flow. On a closed 3-manifold with negative sectional curvature, we establish short time existence and a pair of monotonicity formulas for solutions to the flow. One of these formulas shows that, provided the solution
Chow, Bennett, Hamilton, Richard S.
openaire +3 more sources
On Einstein Manifolds of Positive Sectional Curvature
Let (M,g) be a compact oriented Einstein 4-manifold. If M has positive intersection form and g has non-negative sectional curvature, we show that, up to rescaling and isometry, (M,g) is CP2, equipped with its standard Fubini-Study metric.
Gursky, Matthew J., LeBrun, Claude
openaire +2 more sources

