Results 91 to 100 of about 6,607,246 (296)
Mean Curvature Flow with Boundary
We develop a theory of surfaces with boundary moving by mean curvature flow. In particular, we prove a general existence theorem by elliptic regularization, and we prove boundary regularity at all positive times under very mild hypotheses.
openaire +3 more sources
Pharmacological chromatin remodeling enhances response to estrogen therapy in ER+ breast cancer
Estrogen therapy elicits clinical benefit in ~ 30% of patients with endocrine‐resistant estrogen receptor (ER)‐positive breast cancer. Based on findings that ER transcriptional activation underlies response to estrogen therapy, we tested the effects of epigenetic dysregulation via pharmacological inhibition of histone deacetylases (HDACi).
Anneka L. Johnson Thomas +16 more
wiley +1 more source
Mean curvature flow with obstacles [PDF]
18 pagesWe consider the evolution of fronts by mean curvature in the presence of obstacles. We construct a weak solution to the flow by means of a variational method, corresponding to an implicit time-discretization scheme. Assuming the regularity of the
M. Novaga +8 more
core +1 more source
This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi +6 more
wiley +1 more source
Role of curvature in controlling SWBLI behavior in a hypersonic double ramp flow
Hypersonic flows generate intense unsteady pressure and thermal loads, posing significant challenges for high-speed aerospace applications such as re-entry vehicles and hypersonic cruise systems.
Abhinav Aggarwal, Rajesh Ranjan
doaj +1 more source
High‐risk bladder cancer is typically treated with Bacillus Calmette‐Guérin (BCG), but 30–40% of patients relapse. No FDA‐ or CE‐approved biomarkers currently predict or prognosticate BCG failure. We systematically reviewed the literature and identified 72 eligible studies, revealing several promising biomarkers associated with BCG treatment response ...
Rui Ribeiro‐Pereira +7 more
wiley +1 more source
Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces
We derive various sharp upper bounds for the pp-capacity of a smooth compact set KK in the hyperbolic space Hn{{\mathbb{H}}}^{n} and the Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Haizhong, Li Ruixuan, Xiong Changwei
doaj +1 more source
Swampland, gradient flow and infinite distance
In the first part of this paper we will work out a close and so far not yet noticed correspondence between the swampland approach in quantum gravity and geometric flow equations in general relativity, most notably the Ricci flow.
Alex Kehagias +2 more
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Taxanes are widely used chemotherapeutics whose effects on cellular mechanics remain poorly understood. We show that paclitaxel induces rapid cellular contraction by promoting GEF‐H1 dissociation from microtubules and non‐muscle myosin II activation through RhoA/ROCK.
Gloria Asensio‐Juárez +5 more
wiley +1 more source
Non-local interaction in discrete Ricci curvature-induced biological aggregation
We investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods.
Jyotiranjan Beuria, Laxmidhar Behera
doaj +1 more source

