Articolo in rivista

EpiGEN: an epistasis simulation pipeline

Simulated data are crucial for evaluating epistasis detection tools in genome-wide association studies. Existing simulators are limited, as they do not account for linkage disequilibrium (LD), support limited interaction models of single nucleotide polymorphisms (SNPs) and only dichotomous…

La Matematica per i beni culturali: le bellezze perdute dell'Acropoli

The decay of homogeneous anisotropic turbulence

We present the results of a numerical investigation of three-dimensional decaying turbulence with statistically homogeneous and anisotropic initial conditions. We show that at large times, in the inertial range of scales: (i) isotropic velocity fluctuations decay self-similarly at an algebraic rate…

Non-local network dynamics via fractional graph Laplacians

We introduce non-local dynamics on directed networks through the construction of a fractional version of a non-symmetric Laplacian for weighted directed graphs. Furthermore, we provide an analytic treatment of fractional dynamics for both directed and undirected graphs, showing the possibility of…

Uniform convergence estimates for a collocation method for the cauchy singular integral equation

The authors study the convergence and the stability of a collocation and a discrete collocation method for Cauchy singular integral equations with weakly singular perturbation kernels in some weighted uniform norms. Uniform error estimates are also given. © 1997 Rocky Mountain Mathematics…

A numerical investigation on the asymptotic behavior of discrete Volterra equations with two delays

Expanded analogy between Boltzmann Kinetic Theory of Fluids and Turbulence,

Reliable and perfectly secret communication over the generalized Ozarow-Wyner's wire-tap channel

In a typical secure communication system, messages undergo two different encodings: an error-correcting code is applied at the physical layer to ensure correct reception by the addressee (integrity), while at an upper protocol layer cryptography is leveraged to enforce secrecy with respect to…

A patient with PMP22-related hereditary neuropathy and DBH-gene-related dysautonomia

Recurrent focal neuropathy with liability to pressure palsies is a relatively frequent autosomal-dominant demyelinating neuropathy linked to peripheral myelin protein 22 (PMP22) gene deletions. The combination of PMP22 gene mutations with other genetic variants is known to cause a more severe…

Quantized biopolymer translocation through nanopores: departure from simple scaling

We discuss multiscale simulations of long biopolymer translocation through wide nanopores that can ac- commodate multiple polymer strands. The simulations provide clear evidence of folding quantization, namely the translocation proceeds through multifolded configurations characterized by a well-…