Point vortices on the sphere: a case with opposite vorticities

We study systems formed of 2N point vortices on a sphere with N vortices of strength +1 and N vortices of strength -1. In this case, the Hamiltonian is conserved by the symmetry which exchanges the positive vortices with the negative vortices. We prove the existence of some fixed and relative equilibria, and then study their stability with the ``Energy Momentum Method''. Most of the results obtained are nonlinear stability results. To end, some bifurcations are described.Comment: 35 pages, 9 figure

Deformation of geometry and bifurcation of vortex rings

We construct a smooth family of Hamiltonian systems, together with a family of group symmetries and momentum maps, for the dynamics of point vortices on surfaces parametrized by the curvature of the surface. Equivariant bifurcations in this family are characterized, whence the stability of the Thomson heptagon is deduced without recourse to the Birkhoff normal form, which has hitherto been a necessary tool.Comment: 26 page

Memory for single items, word pairs, and temporal order of different kinds in a patient with selective hippocampal lesions

One kind of between-list and two kinds of within-list temporal order memory were examined in a patient with selective bilateral hippocampal lesions. This damage disrupted memory for all three kinds of temporal order memory, but left item and word pair recognition relatively intact. These findings are inconsistent with claims that (1) hippocampal lesions, like those of the medial temporal lobe (MTL) cortex, disrupt item and word pair recognition, and that (2) hippocampal lesions disrupt temporal order memory and item recognition to the same degree. Not only was word pair recognition intact in the patient, but further evidence indicates that her recognition of other associations between items of the same kind is also spared so retrieval of such associations cannot be sufficient to support within-list temporal order recognition. Rather, as other evidence indicates that the patient is impaired at recogni-tion of associations between different kinds of information, within-list (and possibly between-list) temporal order memory may be impaired by hippocampal lesions because it critically depends on re-trieving associations between different kinds of information

Centralized cytogenetic analysis of pediatric acute leukemia: results of an italian collaborative experience

Background and Objective. Cytogenetic analysis of acute leukemia yields important information which has been demonstrated to be correlated to patient survival. A reference laboratory was created in order to perform karyotype analysis on all cases of acute leukemia enrolled in the AIEOP (Associazione Italiana Emato-Oncologia Pediatrica) protocols. Methods. From January 1990 to December 1995, 1115 samples of children with ALL or AML were sent in for cytogenetic analysis. The results of cell cultures were screened in the Reference Laboratory and then the fixed metaphases were sent to one of the six cytogenetic laboratories for analysis. Results. The leukemic karyotypes of 556 patients were successfully analyzed. An abnormal clone was detected in 49% of cases of ALL and in 66% of AML. In ALL the most frequent abnormality was 9p rearrangement. Other recurrent abnormalities were t(9;22), t(4;11) and t(1;19). In AML t(8;21), t(15;17) and 11q23 rearrangement were the most frequent structural abnormalities. These findings are similar to the results obtained in other multicenter studies using a similar approach. Interpretation and Conclusions. Our data confirm the feasibility of performing cytogenetic analysis in a centralized laboratory on mailed samples of bone marrow and/or peripheral blood; this is very important considering that cytogenetic analysis of neoplastic tissue requires a special laboratory and expert staff

Diminished Neural and Cognitive Responses to Facial Expressions of Disgust in Patients with Psoriasis: A Functional Magnetic Resonance Imaging Study

Psoriasis produces significant psychosocial disability; however, little is understood about the neurocognitive mechanisms that mediate the adverse consequences of the social stigma associated with visible skin lesions, such as disgusted facial expressions of others. Both the feeling of disgust and the observation of disgust in others are known to activate the insula cortex. We investigated whether the social impact of psoriasis is associated with altered cognitive processing of disgust using (i) a covert recognition of faces task conducted using functional magnetic resonance imaging (fMRI) and (ii) the facial expression recognition task (FERT), a decision-making task, conducted outside the scanner to assess the ability to recognize overtly different intensities of disgust. Thirteen right-handed male patients with psoriasis and 13 age-matched male controls were included. In the fMRI study, psoriasis patients had significantly (P<0.005) smaller signal responses to disgusted faces in the bilateral insular cortex compared with healthy controls. These data were corroborated by FERT, in that patients were less able than controls to identify all intensities of disgust tested. We hypothesize that patients with psoriasis, in this case male patients, develop a coping mechanism to protect them from stressful emotional responses by blocking the processing of disgusted facial expressions

Equivalent forms of Dirac equations in curved spacetimes and generalized de Broglie relations

One may ask whether the relations between energy and frequency and between momentum and wave vector, introduced for matter waves by de Broglie, are rigorously valid in the presence of gravity. In this paper, we show this to be true for Dirac equations in a background of gravitational and electromagnetic fields. We first transform any Dirac equation into an equivalent canonical form, sometimes used in particular cases to solve Dirac equations in a curved spacetime. This canonical form is needed to apply the Whitham Lagrangian method. The latter method, unlike the WKB method, places no restriction on the magnitude of Planck's constant to obtain wave packets, and furthermore preserves the symmetries of the Dirac Lagrangian. We show using canonical Dirac fields in a curved spacetime, that the probability current has a Gordon decomposition into a convection current and a spin current, and that the spin current vanishes in the Whitham approximation, which explains the negligible effect of spin on wave packet solutions, independent of the size of Planck's constant. We further discuss the classical-quantum correspondence in a curved spacetime based on both Lagrangian and Hamiltonian formulations of the Whitham equations. We show that the generalized de Broglie relations in a curved spacetime are a direct consequence of Whitham's Lagrangian method, and not just a physical hypothesis as introduced by Einstein and de Broglie, and by many quantum mechanics textbooks.Comment: PDF, 32 pages in referee format. Added significant material on canonical forms of Dirac equations. Simplified Theorem 1 for normal Dirac equations. Added section on Gordon decomposition of the probability current. Encapsulated main results in the statement of Theorem

del (3) (q13.11q21.1): descrizione di un nuovo caso

La delezione interstiziale della regione prossimale del braccio lungo del cromosoma 3 (q11-q21) \ue8 un\u2019alterazione cromosomica molto rara ed \ue8 stata descritta solo in 13 pazienti. Riportiamo il caso di un bambino di 8 mesi nato con parto eutocico da genitori sani non consanguinei. Il cariotipo da sangue periferico ha mostrato la presenza di un\u2019ampia delezione sul braccio lungo del cromosoma 3: 46,XY,del(3)(q12q21) confermata per mezzo di FISH. L\u2019Array-CGH ha evidenziato che la delezione \ue8 pari a 18,97 Mb e si estende da q13.11 a q21.1 consentendo di definire in modo pi\uf9 preciso il cariotipo: 46,XY,del(3)(q13.11q21.1) Il cariotipo normale di entrambi i genitori ha confermato l\u2019insorgenza de novo della delezione. Il bambino presenta tratti dismorfici del volto (fronte ampia, epicanto bilaterale, radice nasale a sella, ipoplasia della parte mediana del volto, padiglioni auricolari a basso impianto), ipotono assiale con ritardo moderato nell\u2019acquisizione delle tappe di sviluppo, plagiocefalia, ipoplasia del corpo calloso, assottigliamento della sostanza bianca in sede peritrigonale bilaterale, anomala conformazione del tronco encefalico per lieve ipoplasia del ponte, tendenza all\u2019inversione della fisiologica lordosi cervicale, criptorchidismo sinistro ed ernia inguinale sinistra Per quanto riguarda la correlazione genotipo-fenotipo il gene CBLB (3q13.11) sembra responsabile delle alterazioni craniofacciali, il gene BOC (3q13.2) dell\u2019ipotonia muscolare, il gene DRD3 (3q13.3) del ritardo dello sviluppo. La comparazione delle caratteristiche cliniche del nostro paziente con quelle dei pazienti descritti in letteratura conferma che la delezione della regione prossimale del braccio lungo del cromosoma 3 determina un fenotipo eterogeneo che comprende dismorfismi a carico del volto, ipotonia, ritardo di sviluppo, difetti cardiaci, anomalie celebrali, anomalie scheletriche e genitourinarie. L\u2019espressivit\ue0 variabile del fenotipo potrebbe essere dovuta all\u2019ampiezza della delezione variabile per differenti punti di rottura e alla presenza in questa regione di geni sensibili al dosaggio e o allo smascheramento di alleli recessivi, che a seguito della delezione si troverebbero in una condizione di emizigosi