Results 81 to 90 of about 1,564,798 (354)
Well-posedness for a class of nonlinear degenerate parabolic equations
, 2015 In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagliardo-Nirenberg interpolation inequality and some embedding results for ...
A. Bensoussan +10 more
core +1 more source
Local Central Limit Theorem for diffusions in a degenerate and unbounded Random Medium [PDF]
, 2015 We study a symmetric diffusion $X$ on $\mathbb{R}^d$ in divergence form in a stationary and ergodic environment, with measurable unbounded and degenerate coefficients.
Chiarini, Alberto +1 more
core +2 more sources
Survivin and Aurora Kinase A control cell fate decisions during mitosis
Molecular Oncology, EarlyView.Aurora A interacts with survivin during mitosis and regulates its centromeric role. Loss of Aurora A activity mislocalises survivin, the CPC and BubR1, leading to disruption of the spindle checkpoint and triggering premature mitotic exit, which we refer to as ‘mitotic slippage’.
Hana Abdelkabir +2 more
wiley +1 more source
Sharp forced waves of degenerate diffusion equations in shifting environments
Advances in Nonlinear AnalysisThis article is concerned with the sharp forced waves for degenerate diffusion equations in a shifting environment. The degeneracy of diffusion usually causes the forced waves to become sharp.
Mei Ming +4 more
doaj +1 more source
Stationary States and Asymptotic Behaviour of Aggregation Models with Nonlinear Local Repulsion [PDF]
, 2013 We consider a continuum aggregation model with nonlinear local repulsion given by a degenerate power-law diffusion with general exponent. The steady states and their properties in one dimension are studied both analytically and numerically, suggesting ...
Burger, Martin +2 more
core +1 more source
Molecular Oncology, EarlyView.HDAC4 is degraded by the E3 ligase FBXW7. In colorectal cancer, FBXW7 mutations prevent HDAC4 degradation, leading to oxaliplatin resistance. Forced degradation of HDAC4 using a PROTAC compound restores drug sensitivity by resetting the super‐enhancer landscape, reprogramming the epigenetic state of FBXW7‐mutated cells to resemble oxaliplatin ...
Vanessa Tolotto +13 more
wiley +1 more source
Pattern formation driven by cross--diffusion in a 2D domain
, 2012 In this work we investigate the process of pattern formation in a two dimensional domain for a reaction-diffusion system with nonlinear diffusion terms and the competitive Lotka-Volterra kinetics. The linear stability analysis shows that cross-diffusion,
Gambino, G. +2 more
core +1 more source
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 +12 more
wiley +1 more source
Quantum diffusion of dipole-oriented indirect excitons in coupled quantum wells
, 2002 A model for diffusion of statistically-degenerate excitons in (coupled) quantum wells is proposed and analysed. Within a microscopic approach, we derive a quantum diffusion equation, calculate and estimate the self-diffusion coefficient for excitons in ...
A. L Ivanov +2 more
core +1 more source
Dirichlet regularity and degenerate diffusion [PDF]
Transactions of the American Mathematical Society, 2010 The authors investigate the problem: when a natural realization of the operator \(m \Delta\) in \(C_0 (\Omega): = \{ u \in C (\bar{\Omega}) : u |_{\partial \Omega}= 0 \}\) generates a \(C_0\)-semigroup. Here \(\Omega \subset \mathbb{R}^{N}\) is an open bounded set and \(m : \Omega \to (0, \infty)\) is measurable and locally bounded.
Arendt, Wolfgang, Chovanec, Michal
openaire +1 more source