On the Poisson equation and diffusion approximation 3
, 2005 We study the Poisson equation Lu+f=0 in R^d, where L is the infinitesimal generator of a diffusion process. In this paper, we allow the second-order part of the generator L to be degenerate, provided a local condition of Doeblin type is satisfied, so ...
Pardoux, E., Veretennikov, A. Yu.
core +2 more sources
Enzymatic degradation of biopolymers in amorphous and molten states: mechanisms and applications
FEBS Open Bio, EarlyView.This review explains how polymer morphology and thermal state shape enzymatic degradation pathways, comparing amorphous and molten biopolymer structures. By integrating structure–reactivity principles with insights from thermodynamics and enzyme engineering, it highlights mechanisms that enable efficient polymer breakdown.
Anđela Pustak, Aleksandra Maršavelski
wiley +1 more source
Nonlocal degenerate reaction-diffusion equations with general nonlinear diffusion term
Electronic Journal of Differential Equations, 2014 We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global ...
Sikiru Adigun Sanni
doaj
Applied SciencesApproximate analytical solutions to a degenerate reaction–diffusion model with power-law absorption (source) and production (sink) terms have been developed.
Jordan Hristov
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive impairment, fatigue, and depression are common in multiple sclerosis (MS), potentially due to disruption of regional functional connectivity caused by white matter (WM) lesions. We explored whether WM lesions functionally connected to specific brain regions contribute to these MS‐related manifestations.
Alessandro Franceschini +7 more
wiley +1 more source
A sturcture-preserving, upwind-SAV scheme for the degenerate Cahn--Hilliard equation with applications to simulating surface diffusion [PDF]
, 2022 Qiong-Ao Huang +3 more
openalex +1 more source
SNUPN‐Related Muscular Dystrophy: Novel Phenotypic, Pathological and Functional Protein Insights
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective SNUPN‐related muscular dystrophy or LGMDR29 is a new entity that covers from a congenital or childhood onset pure muscular dystrophy to more complex phenotypes combining neurodevelopmental features, cataracts, or spinocerebellar ataxia. So far, 12 different variants have been described.
Nuria Muelas +18 more
wiley +1 more source
Malliavin calculus techniques for local asymptotic mixed normality and their application to degenerate diffusions [PDF]
, 2020 Masaaki Fukasawa, Teppei Ogihara
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Exponential Mixing for a Stochastic PDE Driven by Degenerate Noise
, 2001 We study stochastic partial differential equations of the reaction-diffusion type. We show that, even if the forcing is very degenerate (i.e. has not full rank), one has exponential convergence towards the invariant measure.
Bricmont J +16 more
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Accelerated Progression of Gait Impairment in Parkinson's Disease and REM Sleep Without Atonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective People with Parkinson's disease (PD) and rapid eye movement (REM) sleep without atonia (RSWA) often have more severe gait disturbances compared to PD without RSWA. The association between the presence and expression of RSWA and the rate of progression of gait impairment in PD is unknown.
Sommer L. Amundsen‐Huffmaster +11 more
wiley +1 more source