Elena Beretta

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In this paper, we propose an original and promising optimization approach for reconstructing interface changes of a conductivity inclusion from measurements of eigenvalues and eigenfunctions associated with the transmission problem for the Laplacian. Based on a rigorous asymptotic analysis, we derive an asymptotic formula for the perturbations in the modal(More)
In this paper we study the inverse boundary value problem of determining the potential in the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is commonly accepted as an ill-posed problem in the sense that, under general settings, the optimal stability estimate is of logarithmic type. In this work, a Lipschitz type stability is(More)
We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequencies as the data. We develop an explicit iterative reconstruction of the wavespeed using a multi-level nonlinear projected steepest descent iterative scheme in Banach spaces. We consider wavespeeds containing conormal singularities. A(More)
Using resting state (RS) functional magnetic resonance imaging (fMRI) and diffusion tensor imaging (DTI), we identified the predictors of clinical improvement following constraint-induced movement therapy (CIMT) in pediatric patients with chronic hemiplegia.From 14 children with congenital or acquired brain injury and 10 sex- and age-matched healthy(More)
We study the inverse boundary value problem for the time-harmonic elastic waves. We focus on the recovery of the density and assume the sti↵ness tensor to be isotropic. The data are the Dirichlet-to-Neumann map. We establish a Lipschitz type stability estimate assuming that the density is piecewise constant with an underlying domain partitioning consisting(More)
Lower limb rehabilitation is a fundamental part of post-acute care in neurological disease. Early commencement of active workout is often prevented by paresis, thus physical treatment may be delayed until patients regain some voluntary command of their muscles. Passive mobilization of the affected joints is mostly delivered in order to safeguard tissue(More)
Improving walking ability is one of the main goals of a rehabilitation procedure. New technologies based on Virtual Reality (VR) has been recently flanked standard therapies. In this study, 4 children suffering from acquired brain injury (ABI) underwent a 5 session treatment with the Gait Real-time Analysis Interactive Lab (GRAIL), to improve walking and(More)
Upper motoreuron lesions (UML) affects people of all ages and conditions and is a major cause of disability in the young. Whereas active exercise is recognised as paramount to restore the lost motor functions, passive mobilisation of the affected limbs is regarded as a means to safeguard muscular tissue properties during a period of disuse and lack of(More)
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