Results 51 to 60 of about 7,757,053 (329)

Partial Regularity for Singular Solutions to the Monge‐Ampère Equation [PDF]

, 2013
We prove that solutions to the Monge‐Ampère inequality detD2u≥1 in ℝn are strictly convex away from a singular set of Hausdorff (n‐1)‐dimensional measure zero.
Connor Mooney
semanticscholar   +1 more source

A synthetic benzoxazine dimer derivative targets c‐Myc to inhibit colorectal cancer progression

Molecular Oncology, EarlyView.
Benzoxazine dimer derivatives bind to the bHLH‐LZ region of c‐Myc, disrupting c‐Myc/MAX complexes, which are evaluated from SAR analysis. This increases ubiquitination and reduces cellular c‐Myc. Impairing DNA repair mechanisms is shown through proteomic analysis.
Nicharat Sriratanasak, Bodee Nutho, Worawat Wattanathana, Narumon Phaonakrop, Bunnatut Panasawatwong, Katharina Erlenbach‐Wuensch, Sittiruk Roytrakul, Regine Schneider‐Stock, Pithi Chanvorachote   +8 more
wiley   +1 more source

Emergent singular solutions of non-local density-magnetization equations in one dimension

, 2007
We investigate the emergence of singular solutions in a non-local model for a magnetic system. We study a modified Gilbert-type equation for the magnetization vector and find that the evolution depends strongly on the length scales of the non-local ...
Cesare Tronci, D. D. Holm, Darryl D. Holm, E. Weinan, E. Wolf, J. D. Murray, J. Garcia-Ojalvo, Lennon Ó Náraigh, M. G. Forest, S. Chandrasekhar, S. Chandrasekhar, S. H. Strogatz   +11 more
core   +1 more source

Singularity of solutions to singular SPDEs

Building on the notes [Hai17], we give a sufficient condition for the marginal distribution of the solution of singular SPDEs on the $d$-dimensional torus to be singular with respect to the law of the Gaussian measure induced by the linearised equation.
Hairer, Martin, Kusuoka, Seiichiro, Nagoji, Hirotatsu   +2 more
openaire   +2 more sources

Adaptaquin is selectively toxic to glioma stem cells through disruption of iron and cholesterol metabolism

Molecular Oncology, EarlyView.
Adaptaquin selectively kills glioma stem cells while sparing differentiated brain cells. Transcriptomic and proteomic analyses show Adaptaquin disrupts iron and cholesterol homeostasis, with iron chelation amplifying cytotoxicity via cholesterol depletion, mitochondrial dysfunction, and elevated reactive oxygen species.
Adrien M. Vaquié, Davod R. Shah, Eliane E. S. Brechbühl, Michael McNicholas, Zhaoyang Xu, John H. Stockley, Laura Morcom, Diana Gold Diaz, Gemma C. Girdler, Rachel V. Seear, Gabriel Balmus, Rajiv R. Ratan, Harry Bulstrode, James A. Nathan, Manav Pathania, Kevin M. Brindle, David H. Rowitch   +16 more
wiley   +1 more source

Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions [PDF]

, 2013
In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Ying-ying Sun, Juan-Ming Yuan, Da‐jun Zhang   +2 more
semanticscholar   +1 more source

Aggressive prostate cancer is associated with pericyte dysfunction

Molecular Oncology, EarlyView.
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero, Ane Martinez‐Larrinaga, Joaquim Grego‐Bessa, Saioa Garcia‐Longarte, Hielke van Splunder, Ianire Astobiza, Amaia Ercilla, Laura Bozal‐Basterra, Isabel Mendizabal, Pilar Villacampa, Arkaitz Carracedo, Mariona Graupera   +11 more
wiley   +1 more source

Small-amplitude excitations in a deformable discrete nonlinear Schroedinger equation

, 1996
A detailed analysis of the small-amplitude solutions of a deformed discrete nonlinear Schr\"{o}dinger equation is performed. For generic deformations the system possesses "singular" points which split the infinite chain in a number of independent ...
A. Chubykalo, A. Chubykalo, A.K. Common, B.L. Holian, B.L. Holian, D. Cai, D. Cai, D. Henning, D. Henning, I.T. Khabibulin, J. Hietarinta, L.D. Faddeev, M. Salerno, M. Salerno, M. Salerno, P. Poggi, V. V. Konotop, V.E. Vekslerchik, V.E. Vekslerchik, V.V. Konotop, V.V. Konotop, V.V. Konotop, V.Z. Enol'skii, Yu.S. Kivshar, Yu.S. Kivshar   +24 more
core   +1 more source

CDK11 inhibition induces cytoplasmic p21WAF1 splice variant by p53 stabilisation and SF3B1 inactivation

Molecular Oncology, EarlyView.
CDK11 inhibition stabilises the tumour suppressor p53 and triggers the production of an alternative p21WAF1 splice variant p21L, through the inactivation of the spliceosomal protein SF3B1. Unlike the canonical p21WAF1 protein, p21L is localised in the cytoplasm and has reduced cell cycle‐blocking activity.
Radovan Krejcir, Lukasz Arcimowicz, Lucia Martinkova, Vaclav Hrabal, Filip Zavadil Kokas, Tomas Henek, Martina Kucerikova, Ondrej Bonczek, Pavlina Zatloukalova, Lenka Hernychova, Philip J. Coates, Borivoj Vojtesek, David P. Lane   +12 more
wiley   +1 more source

Methylation biomarkers can distinguish pleural mesothelioma from healthy pleura and other pleural pathologies

Molecular Oncology, EarlyView.
We developed and validated a DNA methylation–based biomarker panel to distinguish pleural mesothelioma from other pleural conditions. Using the IMPRESS technology, we translated this panel into a clinically applicable assay. The resulting two classifier models demonstrated excellent performance, achieving high AUC values and strong diagnostic accuracy.
Janah Vandenhoeck, Nele De Meulenaere, Thomas Vanpoucke, Joe Ibrahim, Dieter Peeters, Suresh Krishan Yogeswaran, Wen Wen, Paul Van Schil, Jeroen M. H. Hendriks, Jo Raskin, Jan van Meerbeeck, Guy Van Camp, Ken Op de Beeck   +12 more
wiley   +1 more source