myelodysplastic syndrome (mds), is a group of heterogeneous disorders of hematopoietic stem cell colonies which is determined by incomplete hematopoiesis in one or more cell lines. the incidence increases with age and it has less been reported among patients under 50 years of age. the commonest form of mds is sporadic, and familial occurrence of mds is rare. patients with familial mds are young...

Nonnegative directional splittings of anisotropic diffusion operators in the divergence form are investigated. Conditions are established for nonnegative directional splittings to hold in a neighborhood of an arbitrary interior point. The result is used to construct monotone finite difference schemes for the boundary value problem of anisotropic diffusion operators. It is shown that such a mono...

We consider the efficient deterministic solution of elliptic boundary value problems with random diffusion matrix. Assuming random perturbations with known k moments, we derive, to leading order in the random perturbation’s amplitude, deterministic equations for k moments of the random solution. The solution’s k-th moment satisfies a k-fold tensor product boundary value problem on the k-fold pr...

In this paper, we propose an accurate security evaluation methodology for block ciphers with a binary diffusion layers against division cryptanalysis. We illustrate the division property by the independence of variables, and exploit a one-toone mapping between division trails and invertible sub-matrices. We give a new way to model the propagation of division property of linear diffusion layers ...

We investigate the use of maximum distance separable (MDS) codes to cache popular content to reduce the download delay of wireless content delivery. In particular, we consider a cellular system where devices roam in an out of a cell according to a Poisson random process. Popular content is cached in a limited number of the mobile devices using an MDS code and can be downloaded from the mobile d...

Eigen’s quasispecies system with explicit space and global regulation is considered. Limit behavior and stability of the system in a functional space under perturbations of a diffusion matrix with nonnegative spectrum are investigated. It is proven that if the diffusion matrix has only positive eigenvalues then the solutions of the distributed system converge to the equilibrium solution of the ...

We present a generalization of the Kalman rank condition to the case of n×n linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global Carleman estimate for the solutions of a scalar 2n−order parabolic equation and deduce from it an observability inequality for our adjoint system. AMS 2000 subject classification: 93...

We deduce a particular case of the population cross-diffusion model introduced by Shigesada et al [31] by using the ideas of mutation and splitting from a single species, as described by Sánchez-Palencia for ODE’s systems [30]. The resulting equations of the PDE system only differ in the cross-diffusion terms, being the corresponding diffusion matrix self-diffusion dominated, which implies that...

Fast and efficient failure recovery is a new challenge for cloud storage systems with a large number of storage nodes. A pivotal recovery metric upon the failure of a storage node is repair bandwidth cost which refers to the amount of data that must be downloaded for regenerating the lost data. Since all the surviving nodes are not always accessible, we intend to introduce a class of maximum di...