Results 61 to 70 of about 1,924,298 (375)

Boundary Harnack estimates in slit domains and applications to thin free boundary problems [PDF]

, 2014
We provide a higher order boundary Harnack inequality for harmonic functions in slit domains. As a corollary we obtain the $C^\infty$ regularity of the free boundary in the Signorini problem near non-degenerate points.
D. Silva, O. Savin
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

Solving boundary value problems in the open source software R: package bvpSolve [PDF]

Opuscula Mathematica, 2014
The R package bvpSolve for the numerical solution of Boundary Value Problems (BVPs) is presented. This package is free software which is distributed under the GNU General Public License, as part of the R open source software project.
Francesca Mazzia, Jeff R. Cash, Karline Soetaert   +2 more
doaj   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
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, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Free boundaries in problems with hysteresis [PDF]

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015
Here, we present a survey concerning parabolic free boundary problems involving a discontinuous hysteresis operator. Such problems describe biological and chemical processes ‘with memory’ in which various substances interact according to hysteresis law.
D. E. Apushkinskaya, N. N. Uraltseva
openaire   +3 more sources

Recurrent cancer‐associated ERBB4 mutations are transforming and confer resistance to targeted therapies

Molecular Oncology, EarlyView.
We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala, Sini Ahonen, Sara Peltola, Aura Tuohisto‐Kokko, Olaya Esparta, Peppi Suominen, Anne Jokilammi, Iman Farahani, Deepankar Chakroborty, Nikol Dibus, Steffen Boettcher, Tomi T. Airenne, Mark S. Johnson, Lisa D. Eli, Klaus Elenius, Kari J. Kurppa   +15 more
wiley   +1 more source

On a variational principle for shape optimization and elliptic free boundary problems

Revista de Matemática: Teoría y Aplicaciones, 2009
A variational principle for several free boundary value problems using a relaxation approach is presented. The relaxed Energy functional is concave and it is defined on a convex set, so that the minimizing points are characteristic functions of sets.
Raúl B. González De Paz
doaj   +1 more source

Free boundary problems for systems of Stokes equations

, 2016
Recent years have seen a dramatic increase in the number and variety of new mathematical models describing biological processes. Some of these models are formulated as free boundary problems for systems of PDEs. Relevant biological questions give rise to
A. Friedman
semanticscholar   +1 more source

Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics

FEBS Open Bio, EarlyView.
Plastic pollution remains a critical environmental challenge, and current mechanical and chemical recycling methods are insufficient to achieve a fully circular economy. This review highlights recent breakthroughs in the enzymatic depolymerization of both oil‐derived polyesters and bioplastics, including high‐throughput protein engineering, de novo ...
Elena Rosini, Nicolò Antonelli, Gianluca Molla   +2 more
wiley   +1 more source

Free boundary problems with Neuman boundary condition

Electronic Journal of Differential Equations, 2019
In this work, we study the continuity of a free boundary in a class of elliptic problems, with a Neuman boundary condition. The main idea is to use a change of variable that reduces the problem to the one studied in [16].
Abdeslem Lyaghfouri, Abderachid Saadi
doaj