Results 51 to 60 of about 304,940 (242)

Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations

, 2018
Computational costs of numerically solving multidimensional partial differential equations (PDEs) increase significantly when the spatial dimensions of the PDEs are high, due to large number of spatial grid points. For multidimensional reaction-diffusion
Chen, Shanqin, Cheng, Yingda, Liu, Yuan, Zhang, Yong-Tao   +3 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

Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem

, 2017
We consider reaction-diffusion equations and Korteweg-de Vries-Burgers (KdVB) equations, i.e. scalar conservation laws with diffusive-dispersive regularization.
A Chmaj, A Kiselev, A Kluwick, AA Kilbas, AI Volpert, B Alvarez-Samaniego, B Perthame, BT Hayes, BT Hayes, C Gui, C Rohde, CH Chan, D Jacobs, F Achleitner, F Achleitner, F Achleitner, F Mainardi, G Palatucci, H Dong, J Coville, J Droniou, J Droniou, J Endal, JL Bona, L Caffarelli, N Alibaud, N Alibaud, N Alibaud, P Biler, PI Naumkin, PW Bates, X Cabré, X Cabré, X Cabré, X Chen   +34 more
core   +1 more source

Simulation of reaction-diffusion processes in three dimensions using CUDA [PDF]

, 2010
Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU time are ...
Alexandrov, Anderson, Belleman, Block, Buluc, Castano-Diez, Castets, Che, Costello, Cross, Dabdub, Epstein, Ferenc Izsák, Ferenc Molnár, Ford, Fowler, Garland, Gutiérrez, Horváth, Horváth, Horváth, Huang, István Lagzi, Januszewski, Komatitsch, Komatitsch, Lagzi, Lagzi, Lagzi, Lagzi, Lengyel, Li, Liu, Liu, Lovas, Martin, Melchionna, Micikevicius, Molnár, Nakamasu, NVIDIA Corporation, Owens, Preis, Pápai, Rácz, Róbert Mészáros, Sainio, Sanderson, Sanna, Sanna, Schmidt, Senocak, Shoji, Shoji, Simek, Stone, Stone, Sultan, Volford, Volford, Walsh   +60 more
core   +3 more sources

Dimethyl fumarate combined with cisplatin at subcytotoxic doses sensitizes cervical cancer toward ferroptosis and apoptosis through GSH restriction and p53 (re)activation

Molecular Oncology, EarlyView.
Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano, Giuseppina Minopoli, Simona Romano, Laura Marrone, Katia Aquilano, Maria Lina Tornesello, Raffaella Faraonio   +6 more
wiley   +1 more source

Reaction diffusion equations with boundary degeneracy

Electronic Journal of Differential Equations, 2016
In this article, we consider the reaction diffusion equation $$ \frac{\partial u}{\partial t} = \Delta A(u),\quad (x,t)\in \Omega \times (0,T), $$ with the homogeneous boundary condition.
Huashui Zhan
doaj  

Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients

Journal of Applied Mathematics, 2005
We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates.
L. W. Somathilake, J. M. J. J. Peiris
doaj   +1 more source

On a Class of Reaction-Diffusion Equations with Aggregation

Advanced Nonlinear Studies, 2021
In this paper, global-in-time existence and blow-up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis).
Chen Li, Desvillettes Laurent, Latos Evangelos   +2 more
doaj   +1 more source

Perturbative Linearization of Reaction-Diffusion Equations

, 2002
We develop perturbative expansions to obtain solutions for the initial-value problems of two important reaction-diffusion systems, viz., the Fisher equation and the time-dependent Ginzburg-Landau (TDGL) equation.
Ablowitz M J, Ablowitz M J, Aronson D G, Aronson D G, Bramson M, Bray A J, Burgers J, Cole J D, Dee G, Fisher R A, Fort J, Guo B-Y, Hopf E, Kay J rg Wiese, Kolmogorov A N, Kuramoto Y, Meinhardt H, Mollison D, Murray J D, Pelce P, Puri S, Puri S, Sanjay Puri, Suzuki M, van Saarloos W, van Saarloos W, van Saarloos W   +26 more
core   +1 more source

Effects of Biological Sex and Age on Cerebrospinal Fluid Markers—A Retrospective Observational Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cerebrospinal fluid (CSF) analysis is a key diagnostic tool for neurological diseases. To date, only a few studies have investigated in larger cohorts the effect of age and biological sex on diagnostic markers extracted from CSF. Methods For this retrospective observational study, 4163 CSF findings (2012–2020) were evaluated.
Isabel‐Sophie Hafer, Simon Faissner, Ralf Gold, Aiden Haghikia   +3 more
wiley   +1 more source