Search results for "TENSOR"
showing 10 items of 550 documents
The nonabelian tensor product of two soluble minimax groups
2010
Studio di parcellizzazione talamica per l’identificazione del target di trattamento applicato alle talamotomie trans-craniche mediante ultrasuoni foc…
2019
SCOPO DEL LAVORO: La tcMRgFUS consente di effettuare una vera e propria esplorazione neurofunzionale per confermare ed ottimizzare il target lesionale prima di indurre una lesione cerebrale permanente. La scelta del target di trattamento si basa tuttavia su coordinate stereotassiche che non tengono conto delle diversità anatomiche di ciascun individuo. Essendo il paziente vigile durante tutta la durata della procedura, l'ottimizzazione del target di trattamento viene effettuata sulla base del feedback del paziente nel corso della procedura utilizzando sonicazioni di potenza sub-lesionale. Scopo di questo lavoro è valutare retrospettivamente il possibile ruolo della parcellizzazione talamica…
Studio preliminare di parcellizzazione talamica per l’identificazione del target di trattamento applicato alle talamotomie trans-craniche mediante ul…
2018
Introduzione La tcMRgFUS consente di effettuare una vera e propria esplorazione neurofunzionale per confermare ed ottimizzare il target lesionale prima di indurre una lesione cerebrale permanete. La scelta del target di trattamento si basa tuttavia su coordinate stereotassiche che non tengono conto delle diversità anatomiche di ciascun individuo. L'ottimizzazione del target di trattamento viene effettuata sulla base del feedback del paziente durante la procedura stessa. Materiali e metodi È’ stato utilizzato uno scanner RM da 1.5T per acquisire sequenze morfologiche 3D e ultrastrutturali (DTI) in pazienti successivamente sottoposti a tcMRgFUS. È stata effettuata una segmentazione delle aree…
Thalamic parcellation for target identification in trans-cranial MR-guided Focused UltraSound (tcMRgFUS) thalamotomies: a preliminary probabilistc tr…
2018
Background: Trans-cranial MR-guided Focused UltraSound (tcMRgFUS) allows a neurofunctional exploration of thalamic nuclei to confirm and optimize the target before inducing a permanent brain lesion. However, the choice of the target is based on stereotactic coordinates that do not take into account the anatomical variability of each single patient. Thus, the optimization of the treatment target is based on the patient's feedback during lower power sonications. The aim of this work is to retrospectively evaluate the possible role of thalamic parcellation for the identification of the intermediate ventral nucleus (VIM) in patients undergoing tcMRgFUS. Materials and Methods: A 1.5T MR scanner …
High-order regularization in lattice-Boltzmann equations
2017
A lattice-Boltzmann equation (LBE) is the discrete counterpart of a continuous kinetic model. It can be derived using a Hermite polynomial expansion for the velocity distribution function. Since LBEs are characterized by discrete, finite representations of the microscopic velocity space, the expansion must be truncated and the appropriate order of truncation depends on the hydrodynamic problem under investigation. Here we consider a particular truncation where the non-equilibrium distribution is expanded on a par with the equilibrium distribution, except that the diffusive parts of high-order nonequilibrium moments are filtered, i.e., only the corresponding advective parts are retained afte…
The classical two-dimensional Heisenberg model revisited: An $SU(2)$-symmetric tensor network study
2021
The classical Heisenberg model in two spatial dimensions constitutes one of the most paradigmatic spin models, taking an important role in statistical and condensed matter physics to understand magnetism. Still, despite its paradigmatic character and the widely accepted ban of a (continuous) spontaneous symmetry breaking, controversies remain whether the model exhibits a phase transition at finite temperature. Importantly, the model can be interpreted as a lattice discretization of the $O(3)$ non-linear sigma model in $1+1$ dimensions, one of the simplest quantum field theories encompassing crucial features of celebrated higher-dimensional ones (like quantum chromodynamics in $3+1$ dimensio…
Synthesis and degradation of type IV collagen in rat skeletal muscle during immobilization in shortened and lengthened positions
2003
Aim: Type IV collagen is a major protein in basement membranes surrounding and supporting skeletal muscle cells. In the present study, we tested the hypotheses that immobilization down-regulates synthesis and up-regulates degradation of type IV collagen in skeletal muscle. Methods: mRNA level and concentration of type IV collagen as well as mRNA levels and activities of proteins involved in its degradation were analysed from soleus (SOL), gastrocnemius (GAS) and extensor digitorum longus muscles after immobilization in shortened and lengthened positions for 1, 3 and 7 days. Results: Following immobilization, type IV collagen mRNA level was decreased in SOL and GAS suggesting down-regulat…
Rovibrational spectroscopy of ethylene : Stark effect : Application to ethylene in zeolites
2010
The objective of this report is to present a study as complete as possible of the Stark effect in the asymmetric top molecules of X2Y4 type possessing the D2h symmetry group and to apply it to the problem of the spectroscopy of the ethylene molecule trapped in a zeolite. For the first time, a tensorial formalism adapted to the study of the Stark effect for the O(3) D2h group chain was developed. In parallel, a computer package was worked out as a new generation of software called D2hTDS-ST using a simpler basis, allowing an economy in the calculation time. On the basis of the theoretical and computing tools as well as from the experimental spectra, recorded in the laboratory, we made a firs…
ROVIBRATIONAL AND STARK SPECTROSCOPY OF THE X2Y4MOLECULES. APPLICATION TO ETHYLENE
2005
This thesis is devoted to the spectroscopy of ethylene in the aim of studying the molecule trapped in zeolites. The first part deals with the tensorial model adapted to the symmetry of the isolated molecule: formalism, Hamiltonian and transition moments. To take the strong electric fields existing into zeolites into account, an extension of the model to the Stark effect is proposed in the second part. The third part describes the programs of the D2hTDS software which have been built for the calculation and analysis of X2Y4-type molecule spectra. The fourth part presents applications to the calculation and analysis of zero-field and Stark ethylene spectra. In particular, the model has been t…
Broken ray transform on a Riemann surface with a convex obstacle
2014
We consider the broken ray transform on Riemann surfaces in the presence of an obstacle, following earlier work of Mukhometov. If the surface has nonpositive curvature and the obstacle is strictly convex, we show that a function is determined by its integrals over broken geodesic rays that reflect on the boundary of the obstacle. Our proof is based on a Pestov identity with boundary terms, and it involves Jacobi fields on broken rays. We also discuss applications of the broken ray transform.