Articolo in rivista

Isotropic discrete Laplacian operators from lattice hydrodynamics

Recovering nonlinear terms in an inverse boundary value problem for Laplace's equation: A stability estimate

Stationary thermography can be used for investigating the functional form of a nonlinear cooling lawthat describes heat exchanges through an inaccessible part of the boundary of a conductor. In this paper, we obtain a logarithmic stability estimate for the associated nonlinear inverse problem. This…

Bootstrap AMG for Spectral Clustering

Graph Laplacian is a popular tool for analyzing graphs, in particular in graph partitioning and clustering. Given a notion of similarity (via an adjacency matrix), graph clustering refers to identifying different groups such that vertices in the same group are more similar compared to vertices…

Automatic alpha-helix identification in Patterson maps

alpha-Helices are peculiar atomic arrangements characterizing protein structures. Their occurrence can be used within crystallographic methods as minimal a priori information to drive the phasing process towards solution. Recently, brute-force methods have been developed which search for all…

The role of the arterial prestress in blood flow dynamics

Blood flowing in a vessel is modelled using one-dimensional equations derived from the Navier-Stokes theory on the base of long pressure wavelength.The vessel wall is modelled as an initially highly prestressed elastic membrane, which slightly deforms under the blood pressure pulses. On the…

Mesoscale modelling of soft flowing crystal

We outline the main ideas behind the numerical modelling of soft flowing crystals, paying special attention to their application to microfluidic devices for the design of novel mesoscale porous materials.

Extended interpolation with additional nodes in some Sobolev-type spaces

Convergence and boundedness of the extended Lagrange interpolating operator with additional nodes are studied in the space L_p^{u,t } of Sobolev type.

Lattice Boltzmann simulation of thermal nonideal fluids

A thermal lattice Boltzmann model for a van der Waals fluid is proposed. In the continuum, the model reproduces at second order of a Chapman-Enskog expansion, the theory recently introduced by A. Onuki (Phys. Rev. Lett. 94, 054501 2005). Phase separation has been studied in a system quenched by…

HDAC2-dependent miRNA signature in acute myeloid leukemia

Acute myeloid leukemia (AML) arises from a complex sequence of biological and finely orchestrated events that are still poorly understood. Increasingly, epigenetic studies are providing exciting findings that may be exploited in promising and personalized cutting-edge therapies. A more appropriate…

Fourier series approximation of separable models

The approximation of a function affected by noise in several dimensions suffers from the so-called "curse of dimensionality". In this paper a Fourier series method based on regularization is developed both for uniform and random design when a restriction on the complexity of the curve such as…