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Multiple sclerosis is a common disease of the central nervous system in which the interplay between inflammatory and neurodegenerative processes typically results in intermittent neurological disturbance followed by progressive accumulation of disability. Epidemiological studies have shown that genetic factors are primarily responsible for the substantially(More)
We propose and analyze the ReLPM (Real Leja Points Method) for evaluating the propagator '(tB)v via matrix interpolation polynomials at spectral Leja sequences. Here B is the large, sparse, nonsymmetric matrix arising from stable 2D or 3D nite-dierence discretization of linear advection–diusion equations, and '(z) is the entire function '(z) = (e z − 1)=z.(More)
Mutations in the SOD1 gene exons and exon/intron boundaries were searched in 66 sporadic and 4 familial Italian ALS cases consecutively referred to our centre from different Italian regions. A mutation was found in three sporadic cases (4.5%): a new nonsense mutation in exon 5 (K136X) in a patient with a rapid and severe disease course and two previously(More)
Using the ImmunoChip custom genotyping array, we analyzed 14,498 subjects with multiple sclerosis and 24,091 healthy controls for 161,311 autosomal variants and identified 135 potentially associated regions (P < 1.0 × 10(-4)). In a replication phase, we combined these data with previous genome-wide association study (GWAS) data from an independent 14,802(More)
Potentially causative missense variations in the ANG gene and a positive association with the synonymous rs11701-G substitution was detected mainly in Irish and Scottish ALS patients. We screened 262 Italian SOD1 negative ALS patients (250 sporadic) and 415 matched controls for sequence variations in the coding, 3'/5' UTR and 5' flanking (642 bp) regions of(More)
Previous studies reported an association with multiple sclerosis (MS) of distinct HLA-class I markers, namely HLA-A*02, HLA-Cw*05 and MOG-142L. In this work, we tested the association with MS of A*02 and Cw*05 in 1273 Italian MS patients and 1075 matched controls, which were previously analyzed for MOG-142, and explored the relationship among these three(More)
When the computation of efficient preconditioners for individual linear systems of a sequence is expensive, significant reduction of costs can be achieved by updating previous preconditioners. For large and sparse systems, this has been done, among others, by recycling subspaces when using a Krylov subspace method [3], by means of small rank updates when(More)
In this paper we present the results obtained in the solution of sparse and large systems of non-linear equations by inexact Newton methods combined with an block iterative row-projection linear solver of Cimmino-type. Moreover, we propose a suitable partitioning of the Jacobian matrix A. In view of the sparsity, we obtain a mutually orthogonal(More)
Integration of the subsurface flow equation by finite elements (FE) in space and finite differences (FD) in time requires the repeated solution to sparse symmetric positive definite systems of linear equations. Iterative techniques based on preconditioned conjugate gradients (PCG) are one of the most attractive tool to solve the problem on sequential(More)