Results 21 to 30 of about 206 (158)
Mathematical Modelling of Immune Response in Tissues
Computational and Mathematical Methods in Medicine, Volume 10, Issue 1, Page 9-38, 2009., 2009 We have developed a spatial–temporal mathematical model (PDE) to capture fundamental aspects of the immune response to antigen. We have considered terms that broadly describe intercellular communication, cell movement, and effector function (activation or inhibition).
B. Su +3 more
wiley +1 more source
Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data
Moroccan Journal of Pure and Applied Analysis, 2022 This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
doaj +1 more source
Stability Analysis of a Model of Atherogenesis: An Energy Estimate Approach
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 121-142, 2008., 2008 Atherosclerosis is a disease of the vasculature that is characterized by chronic inflammation and the accumulation of lipids and apoptotic cells in the walls of large arteries. This disease results in plaque growth in an infected artery typically leading to occlusion of the artery. Atherosclerosis is the leading cause of human mortality in the US, much
A. I. Ibragimov +3 more
wiley +1 more source
Option hedging for small investors under liquidity costs
, 2010 Super-replication, Liquidity cost, Gamma process, Parabolic majorant, PDE valuation, 91B28, 35K55, 60H30, C61, G13, D52,
H. Soner +6 more
core +1 more source
An efficient approach for solving a class of nonlinear 2D parabolic PDEs
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 17, Page 881-899, 2004., 2004 We consider a class of nonlinear 2D parabolic equations that allow for an efficient application of an operator splitting technique and a suitable linearization of the discretized problem. We apply our scheme to study the finite extinction phenomenon for the porous‐medium equation with strong absorption.
Dongjin Kim, Wlodek Proskurowski
wiley +1 more source
A hybrid neural network model for the dynamics of the Kuramoto‐Sivashinsky equation
Mathematical Problems in Engineering, Volume 2004, Issue 3, Page 305-321, 2004., 2004 A hybrid approach consisting of two neural networks is used to model the oscillatory dynamical behavior of the Kuramoto‐Sivashinsky (KS) equation at a bifurcation parameter α = 84.25. This oscillatory behavior results from a fixed point that occurs at α = 72 having a shape of two‐humped curve that becomes unstable and undergoes a Hopf bifurcation at α =
Nejib Smaoui
wiley +1 more source
Optimal lifetime consumption and investment under a drawdown constraint
, 2008 Portfolio allocation, Drawdown constraint, Duality, Verification, 91B28, 35K55, 60H30, G11, C61,
Touzi, Nizar +3 more
core +1 more source
The generalized Burgers equation with and without a time delay
International Journal of Stochastic Analysis, Volume 2004, Issue 1, Page 73-96, 2004., 2004 We consider the generalized Burgers equation with and without a time delay when the boundary conditions are periodic with period 2π. For the generalized Burgers equation without a time delay, that is, ut = vuxx − uux + u + h(x), 0 < x < 2π, t > 0, u(0, t) = u(2π, t), u(x, 0) = u0(x), a Lyapunov function method is used to show boundedness and uniqueness
Nejib Smaoui, Mona Mekkaoui
wiley +1 more source
On a class of nonlinear reaction‐diffusion systems with nonlocal boundary conditions
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 793-813, 2004., 2004 We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonlinear reaction‐diffusion system with only integral terms in the boundaries. We first solve a particular case of the problem by using the energy‐integral method. Next, via an iteration procedure, we derive the obtained results to study the solvability of the
Abdelfatah Bouziani
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.We investigate an inverse source problem for a nonlinear parabolic equation with a nonlocal diffusion coefficient under Robin boundary conditions. The unknown source has the separated form, where p is known, and the spatial component g is recovered from final‐time data. Compared to the Neumann case, the Robin condition changes the spectral structure of
Ngo Ngoc Hung, Shikha Binwal
wiley +1 more source