Results 51 to 60 of about 1,065,619 (287)
Generalized diffusion equation [PDF]
Physica A: Statistical Mechanics and its Applications, 2006 Modern analyses of diffusion processes have proposed nonlinear versions of the Fokker-Planck equation to account for non-classical diffusion. These nonlinear equations are usually constructed on a phenomenological basis. Here we introduce a nonlinear transformation by defining the $q$-generating function which, when applied to the intermediate ...
Boon, Jean-Pierre, Lutsko, James
openaire +2 more sources
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source
Molecular theory of anomalous diffusion
, 2013 We present a Master Equation formulation based on a Markovian random walk model that exhibits sub-diffusion, classical diffusion and super-diffusion as a function of a single parameter.
Boon, Jean Pierre, Lutsko, James F.
core +1 more source
FEBS Letters, EarlyView.Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas +3 more
wiley +1 more source
The generalized Airy diffusion equation
Electronic Journal of Differential Equations, 2003 Solutions of a generalized Airy diffusion equation and an associated nonlinear partial differential equation are obtained. Trigonometric type functions are derived for a third order generalized radial Euler type operator.
Frank M. Cholewinski, James A. Reneke
doaj
Parameters identification for a nonlinear partial differential equation in image denoising
Moroccan Journal of Pure and Applied Analysis, 2023 In this work and in the context of PDE constrained optimization problems, we are interested in identification of a parameter in the diffusion equation proposed in [1]. We propose to identify this parameter automatically by a gradient descent algorithm to
Mourabit A. El
doaj +1 more source
A new non-perturbative approach to Quantum Brownian Motion
, 2008 Starting from the Caldeira-Leggett (CL) model, we derive the equation describing the Quantum Brownian motion, which has been originally proposed by Dekker purely from phenomenological basis containing extra anomalous diffusion terms.
G.-L. Ingold +5 more
core +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Diffusion Convection Equation with Variable Nonlinearities
Journal of Function Spaces, 2017 The paper studies diffusion convection equation with variable nonlinearities and degeneracy on the boundary. Unlike the usual Dirichlet boundary value, only a partial boundary value condition is imposed.
Huashui Zhan
doaj +1 more source
A Spatial Structural Derivative Model for Ultraslow Diffusion
, 2017 This study investigates the ultraslow diffusion by a spatial structural derivative, in which the exponential function exp(x)is selected as the structural function to construct the local structural derivative diffusion equation model.
Chen, Wen +3 more
core +1 more source