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2008 Articolo in rivista metadata only access

Lattice Boltzmann across scales: from turbulence to DNA translocation

2008 Articolo in rivista metadata only access

Front pinning in capillary filling of chemically coated channels

Diotallevi F ; Biferale L ; Chibbaro S ; Puglisi A ; Succi S
2008 Articolo in rivista metadata only access

Hydrokinetic description of precursor film dynamics in capillary filling,

Chibbaro S ; Biferale L ; Diotallevi F ; Succi S ; Dimitrov A ; Milchev A ; Binder K ; Girardo S ; Pisignano D
2008 Articolo in rivista metadata only access

BATS: a Bayesian user-friendly software for Analyzing Time Series microarray experiments

Angelini C ; Cutillo L ; De Canditiis D ; Mutarelli M ; Pensky M

Background Gene expression levels in a given cell can be influenced by different factors, namely pharmacological or medical treatments. The response to a given stimulus is usually different for different genes and may depend on time. One of the goals of modern molecular biology is the high-throughput identification of genes associated with a particular treatment or a biological process of interest. From methodological and computational point of view, analyzing high-dimensional time course microarray data requires very specific set of tools which are usually not included in standard software packages. Recently, the authors of this paper developed a fully Bayesian approach which allows one to identify differentially expressed genes in a `one-sample' time-course microarray experiment, to rank them and to estimate their expression profiles. The method is based on explicit expressions for calculations and, hence, very computationally efficient. Results The software package BATS (Bayesian Analysis of Time Series) presented here implements the methodology described above. It allows an user to automatically identify and rank differentially expressed genes and to estimate their expression profiles when at least 5-6 time points are available. The package has a user-friendly interface. BATS successfully manages various technical difficulties which arise in time-course microarray experiments, such as a small number of observations, non-uniform sampling intervals and replicated or missing data. Conclusions BATS is a free user-friendly software for the analysis of both simulated and real microarray time course experiments. The software, the user manual and a brief illustrative example are freely available online at the BATS website: http://www.na.iac.cnr.it/bats

Bayesian approaches Time course microarray Software
2008 Articolo in rivista metadata only access

A fluid dynamic model for telecommunication net-works with sources and destinations.

D'Apice C ; Manzo R ; Piccoli B
2008 Articolo in rivista metadata only access

A fluid dynamic model for T-Junctions ,

2008 Articolo in rivista metadata only access

Vertex flow models for vehicular traffic on networks

D'Apice C ; Piccoli B
2008 Articolo in rivista metadata only access

Circulation of car traffic in congested urban areas

Cascone A ; D'Apice C ; Piccoli B ; Rarità L
2008 Articolo in rivista metadata only access

Time Optimal Swing-Up of the Planar Pendulum

Mason P ; Broucke ME ; Piccoli B
2008 Articolo in rivista metadata only access

Mathematics and monuments conservation: Free boundary models of marble sulphation

2008 Articolo in rivista metadata only access

Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media

AregbaDriollet Denise ; Bretti Gabriella ; Natalini Roberto

We introduce some numerical approximations to a quasilinear problem proposed by G. I. Barenblatt to describe non-equilibrium two-phase fluid flows in permeable porous media, which apply to secondary oil recovery from natural reservoirs. Taking into account the theoretical results of global existence and uniqueness, we approximate the solutions by three numerical schemes, namely, the Diagonal First Order schemes (DFO and DFO2) and the Diagonal Second Order scheme (DSO). For DFO schemes convergence is proved. The schemes' behaviour is analysed and discussed through some numerical experiments.

2008 Articolo in rivista metadata only access

Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation

Carbou G ; Hanouzet B ; Natalini R
2008 Articolo in rivista metadata only access

Evaluation of HIV / CD4+ T cell dynamic parameters in patients treated with genotypic resistance testing-guided HAART

Cappuccio A ; Castiglione F ; Piccoli B ; Tozzi V
2008 Articolo in rivista metadata only access

A tracking algorithm for car paths on road networks

In this paper we introduce a computation algorithm to trace car paths on road networks, whose load evolution is modeled by conservation laws. This algorithm is composed of two parts: computation of solutions to conservation equations on each road and localization of car position resulting by interactions with waves produced on roads. Some applications and examples to describe the behavior of a driver traveling in a road network are shown. Moreover, a convergence result for wave front tracking approximate solutions, with BV initial data on a single road, is established.

conservation laws discontinuous ordinary differential equations finite difference schemes fluid-dynamic models traffic flow
2008 Articolo in rivista metadata only access

Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering

Bertsch M ; Nitsch C

We consider existence and qualitative properties of traveling wave solutions of a new free boundary problem which describes fluid flow in diatomite rocks and in particular the phenomenon of hydraulic fracturing. For certain parameter values discontinuities of the traveling waves may appear near their free boundaries.

2008 Articolo in rivista metadata only access

Monte Carlo methods for sensitivity analysis of Poisson-driven stochastic systems, and applications

Bordenave C ; Torrisi GL

We provide Monte Carlo estimators for the derivatives of functionals of Poisson-driven systems, and apply the theoretical results to models of interest in stochastic geometry and insurance

2008 Articolo in rivista metadata only access

Large deviations of the interference in a wireless communication model

Ganesh A ; Torrisi GL

We provide a large deviation principle for the interference in a simple model of wireless communication

2008 Articolo in rivista metadata only access

Polynomial approximation on the sphere using scattered data

The paper tackles the problem of approximately reconstructing a real function defined on the surface of the unit sphere in the Euclidean q-dimensional space, with q>1, starting from function's samples at scattered sites. Two new operators are introduced for continuous and discrete approximation at scattered sites. Moreover precise error estimates as well as Marcinkiewicz-Zygmund inequalities are derived in every Lp space, giving concrete bounds for all the involved constants.

Polynomial approximation spherical harmonics Marcinkiewicz-Zygmund inequality quadrature scattered data.
2008 Articolo in rivista metadata only access

De la Vallée Poussin means and Jackson's theorem

Mastroianni G ; Themistoclakis W

De la Vallée Poussin means are used to prove Jackson-Favard type estimates for weighted algebraic polynomials with Jacobi and Laguerre-like weights.

Weighted polynomial approximation Jacobi and Laguerre weights de la Vallée Poussin means Jackson estimates
2008 Articolo in rivista metadata only access

A new transform for solving the noisy complex exponentials approximation problem

The problem of estimating a complex measure made up by a linear combination of Dirac distributions centered on points of the complex plane from a finite number of its complex moments affected by additive i.i.d. Gaussian noise is considered. A random measure is defined whose expectation approximates the unknown measure under suitable conditions. An estimator of the approximating measure is then proposed as well as a new discrete transform of the noisy moments that allows computing in estimate of the Unknown measure. A small simulation study is also performed to experimentally check, the goodness of the approximations.