Results 21 to 30 of about 311,754 (293)

Fractional reaction-diffusion equations

, 2007
In a series of papers, Saxena, Mathai, and Haubold (2002, 2004a, 2004b) derived solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which provide the extension of the work of Haubold and Mathai (1995 ...
A. Compte, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. M. Mathai, A. Wiman, A.A. Kilbas, A.M. Mathai, A.M. Mathai, A.P. Prudnikov, B.I. Henry, B.I. Henry, B.I. Henry, C. Tsallis, C. Tsallis, D. Del-Castillo-Negrete, D. Del-Castillo-Negrete, E.M. Wright, E.M. Wright, E.M. Wright, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, H.J. Haubold, H.J. Haubold, J.D. Murray, K.B. Oldham, K.S. Miller, L. Debnath, M. Caputo, M.G. Mittag-Leffler, M.G. Mittag-Leffler, M.M. Dzherbashyan, M.M. Dzherbashyan, R. K. Saxena, R. Metzler, R. Metzler, R.K. Saxena, R.K. Saxena, R.K. Saxena, R.M. Kulsrud, S. Jespersen, S.G. Samko, W. Hundsdorfer, Y. Kuramoto   +47 more
core   +1 more source

Anomalous subdiffusion with multispecies linear reaction dynamics [PDF]

, 2008
We have introduced a set of coupled fractional reaction-diffusion equations to model a multispecies system undergoing anomalous subdiffusion with linear reaction dynamics.
Henry, B. I., Langlands, Trevor, Wearne, S. L.   +2 more
core   +1 more source

Splitting spectral element method for fractional reaction-diffusion equations

Journal of Algorithms & Computational Technology, 2020
In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
doaj   +1 more source

New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. II

, 2006
In the first part of this paper math-ph/0612078, a complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived.
Ames W F, Arrigo D J, Bluman G W, Cherniha R, Cherniha R Pliukhin O, Cherniha R Serov M, Dixon J M, Fitzhugh R, Fushchych W I, Fushchych W I, Fushchych W I, Gandarias M L, Kamke E, Kolmogoroff A, Levi D, Murray J D, Murray J D, Nucci M C, Oleksii Pliukhin, Oliveira-Pinto F, Ovsiannikov L V, Polyanin A D, Pucci E, Roman Cherniha, Saccomandi G   +24 more
core   +3 more sources

Asymptotic Behavior of Stochastic Reaction–Diffusion Equations

Mathematics
In this paper, we concentrate on the propagation dynamics of stochastic reaction–diffusion equations, including the existence of travelling wave solution and asymptotic wave speed. Based on the stochastic Feynman–Kac formula and comparison principle, the
Hao Wen, Yuanjing Wang, Guangyuan Liu, Dawei Liu   +3 more
doaj   +1 more source

On a Nonlinear System of Reaction-Diffusion Equations

Nonlinear Analysis, 2006
The aim of this article is to study the existence of positive weak solution for a quasilinear reaction-diffusion system with Dirichlet boundary conditions,    − div |∇u1| p1−2∇u1 = λuα11 1 u α12 2 ...
G. A. Afrouzi, S. H. Rasouli
doaj   +1 more source

Class IIa HDACs forced degradation allows resensitization of oxaliplatin‐resistant FBXW7‐mutated colorectal cancer

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, Nicolò Gualandi, Ylenia Cortolezzis, Raffaella Picco, Monica Colitti, Francesca D'Este, Mariachiara Gani, Wayne W. Hancock, Giovanni Terrosu, Cristina Degrassi, Francesca Agostini, Claudio Brancolini, Luigi E. Xodo, Eros Di Giorgio   +13 more
wiley   +1 more source

Attractor of reaction-diffusion equations in Banach spaces

Applied General Topology, 2001
In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as
José Valero
doaj   +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

Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations

Entropy, 2020
A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
doaj   +1 more source