The pulsatile flow in a curved elastic pipe of circular cross section is investigated. The unsteady flow of a viscous fluid and the wall motion equations are written in a toroidal coordinate system, superimposed and linearized over a steady state solution. Being the main application relative to the vascular system, the radius of the pipe is assumed small compared withthe radius of curvature. This allows an asymptotic analysis over thecurvature parameter. The model results an extension of the Womersley's model for the straight elastic tube. A numerical solution is found for the first order approximation and computational results are finally presented, demonstrating the role of curvature in the wave propagation and in the development of a secondary flow.

We consider a thin metallic plate whose top side is inaccessible and in contact with a corroding fluid. Heat exchange between metal and fluid follows linear Newton's cooling law as long as the inaccessible side is not damaged. We assume that the effects of corrosion are modeled by means of a nonlinear perturbation in the exchange law. On the other hand, we are able to heat the conductor and take temperature maps of the accessible side. Our goal is to recover the nonlinear perturbation of the exchange law on the top side from thermal data collected on the opposite one (thermal imaging). In this paper we use a stationary model, i.e., the temperature inside the plate is assumed to fulfill Laplace's equation. Hence, our problem is stated as an inverse ill-posed problem for Laplace's equation with nonlinear boundary conditions. We study identifiability and local Lipschitz stability. In particular, we prove that the nonlinear term is identified by one Cauchy data set. Moreover, we produce approximated solutions by means of an optimizational method.

We study the inverse problem of the determination of the most favored relative orientations of moving protein domains from Residual Dipolar Coupling (RDC) measurements. We present a numerical procedure based on the simplex method for the efficient determination of the maximum probability of a given relative orientation. We prove the convergence of the algorithm and present the results obtained both on synthetic and on experimental data.

Project Objectives Create computational models for the real-size human immune system. Standardize immune system concepts, bioinformatics tools and information resources to enhance the computational models for pre-clinical and clinical applications. Validate these models with experimental data and disseminate the tools developed to users such as vaccine and immunotherapy researchers and developers.

Il progetto si basa sull'ipotesi che un modello basato sulla conoscenza che si avvalga di strumenti automatici di restauro digitale possa ampliare opportunità di valorizzazione e di fruibilità delle immagini d'epoca, se si considera l'enorme quantità di fotografie che documentano i momenti della storia del bacino del mediterraneo. La finalità ultima del modello proposto è di svincolare i possibili utenti, interessati al restauro digitale, dall'oneroso compito, ad oggi spesso condotto manualmente, di analizzare le immagini, individuarne i difetti e per ognuno di essi impegnarsi nella scelta del migliore algoritmo e, unitamente, dell'insieme dei parametri ottimi per il conseguimento del miglior risultato.

Progetto basato sullo sviluppo di modelli e metodi matematico-numerici per l'analisi di processi di degrado chimico (solfatazione, corrosione del ferro) e meccanico (danneggiamento, fratture). La finalita' e' di produrre gli strumenti per: a) simulare tali processi per poterli prevedere ed intervenire preventivamente, b)effettuare un monitoraggio a distanza, ovviamente non invasivo.

An account of the error and of the convergence theory is given for Gauss-Laguerre quadrature formulae. We develop also truncated models of the original Gauss rules to compute integrals extended over the positive real axis.