Distances on Lozenge Tilings

International audienceIn this paper, a structural property of the set of lozenge tilings of a 2n-gon is highlighted. We introduce a simple combinatorial value called Hamming-distance, which is a lower bound for the flipdistance (i.e. the number of necessary local transformations involving three lozenges) between two given tilings. It is here proven that, for n5, We show that there is some deficient pairs of tilings for which the flip connection needs more flips than the combinatorial lower bound indicates

Near-Threshold Production of omega Mesons in the pp -> pp omega Reaction

The total cross section for omega production in the pp -> pp omega reaction has been measured at five c.m. excess energies from 3.8 to 30 MeV. The energy dependence is easily understood in terms of a strong proton-proton final state interaction combined with a smearing over the width of the state. The ratio of near-threshold phi and omega production is consistent with the predictions of a one-pion-exchange model and the degree of violation of the OZI rule is similar to that found in the pi-p -> n omega/phi reactions.Comment: Report in LaTeX2e. 12 pages with 2 eps figure

Exploring the relationship between white and grey matter damage in primary progressive multiple sclerosis with structural magnetic resonance imaging

In the first part of this thesis, an introduction of the main characteristics of the primary-progressive form of multiple sclerosis (PPMS) (Chapter I), and of the acquisition and post-processing of the conventional and quantitative magnetic resonance imaging techniques employed in the studies presented in this thesis (Chapter II), will be presented. In the second part of this thesis, several advanced imaging techniques will be employed to answer the following two key questions on PPMS: 1) Is there is a spatial and temporal link between the pathological processes occurring in the normal appearing white matter (WM) and in the grey matter (GM) of patients with PPMS?; 2) Which regions of WM and GM abnormalities significantly contribute to clinical progression and cognitive dysfunction over time in patients with PPMS? To answer the first question, I first used tract-based spatial statistics (TBSS) and voxel-based morphometry (VBM), to explore the spatial relationship between the damage occurring in the normal-appearing WM and GM in patients with early PPMS (Chapter III). Then, I moved onto exploring the temporal relationship linking the pathological changes affecting the two compartments, employing magnetization transfer imaging (MTI) and diffusion-based tractography (Chapter IV). To answer the second question, I first looked at the prognostic role of WM lesion location in a study conducted on a large population of patients with well- established PPMS who were followed-up for ten years in five different European centres (Chapter V). Then, using a novel approach which combines MTI and TBSS, I explored the regions of short-term accrual of microstructural damage in patients with early PPMS (Chapter VI). Finally, I moved onto examining the relative contribution of WM and GM damage to long-term motor and cognitive disability in PPMS (Chapter VII). In the final Chapter, I will summarise the results of the studies presented in this thesis, provide an answer to the two key questions on PPMS, and propose future directions for research

The reaction Δ+N→N+N+ϕ\Delta+N\to N+N+\phi in ion-ion collisions

We study the threshold $\phi$-meson production in the process $\Delta+N\to N+N+\phi$, which appears as a possible important mechanism in high energy nuclei-nuclei collisions. The isotopic invariance of the strong interaction and the selection rules due to P-parity and total angular momentum result in a general and model independent parametrization of the spin structure of the matrix element in terms of three partial amplitudes. In the framework of one-pion exchange model these amplitudes can be derived in terms of the two threshold partial amplitudes for the process $\pi+N\to N+\phi$. We predict the ratio of cross sections for $\phi-$meson production in $pp$- and $\Delta N$-collisions and the polarization properties of the $\phi$-meson, in $\Delta+N\to N+N+\phi$, as a function of a single parameter, which characterizes the relative role of transversal and longitudinal $\phi$-meson polarizations in the process $\pi+N\to N+\phi$.Comment: 10 pages 3 figure

Individualized Breakfast Programs or Glycogen Super-Compensation: Which Is the Better Performing Strategy? Insights from an Italian Soccer Referees Cohort

The role of soccer referees has grown in importance in the last decades, as has attention to their performance, which may be influenced and improved with specific and evolved training programs. Today, multiple specialists are working as a team in order to develop effective training programs. Moreover, for athletes, it is becoming more and more important to be attentive to nutrition. By considering such items, in this study, we aimed to investigate the nutritional habits of a group of referees belonging to the Italian Soccer Referees' Association (on behalf of AIA-FIGC). Our main aim was to spread a "culture of nutrition" in refereeing, starting with a survey on referees' breakfast attitudes and in order to disseminate such a "culture", we chose top-level elite referees who were younger subjects (despite the average 4 years' experience). Therefore, we enrolled 31 subjects (aged 22.74 \ub1 1.79, BMI 22.30 \ub1 1.53) and asked them about their breakfast habits. Then, for measuring their performance, we used the conventional fitness test named Yo-Yo (YYiR1), performed in three different sessions (test 1, test 2, test 3). Test 1 was carried out without any nutritional indications, test 2 was given after individualized breakfast suggestions by a designed dietician, and test 3 after an individualized glycogen super-compensation strategy. The Wilcoxon statistical analysis indicates that following an individualized breakfast strategy may enhance referees' performance (p < 0.0001), whereas no significant effects were observed with the glycogen super-compensation option. However, further studies will be necessary to better address this topic and clarify whether high-carbohydrates (high-CHO) intake may be useful in other sports

Qualidade e características sensoriais de manga osmoticamente desidratada com xaropes de açúcar invertido e a sacarose

A desidratação osmótica tem se tornado uma tecnologia cada vez mais usual no processamento de alimentos desidratados, por apresentar vantagens como a redução nas perdas de cor e sabor durante o tratamento térmico, inibição do escurecimento enzimático, prescindindo da adição de agentes sulfitantes, e principalmente economia no consumo de energia. Este trabalho avaliou o efeito da utilização de xaropes de açúcar invertido e sacarose como agentes osmóticos na desidratação de manga. As condições utilizadas no processo de desidratação foram: relação xarope/fruto de 3:1(v/p); temperatura de 45ºC e agitação constante. Os frutos in natura e osmo-desidratados foram avaliados quanto ao pH, umidade, atividade de água (a a) e sólidos solúveis (ºBrix). Determinou-se a incorporação de sólidos e a perda de massa após o processo de desidratação. A aceitação sensorial dos frutos in natura e osmo-desidratados foi avaliada através de um teste com escala hedônica, para os atributos aroma, sabor, textura e aceitação global. A desidratação osmótica resultou na redução da umidade e da a a, no aumento do Brix e na manutenção do pH da manga. Os tratamentos com xarope de açúcar invertido ocasionaram mais alterações na umidade, na a a, no Brix, na incorporação de sólidos e na perda de massa comparado ao tratamento com xarope de sacarose. As mangas osmo-desidratadas com o xarope de açúcar invertido (55,3% de taxa de inversão) obtiveram uma aceitação semelhante às mangas in natura, tendo sido considerado o tratamento mais adequado para esse fim.Osmotic dehydration is becoming more popular as a complementary treatment in the processing of dehydrated foods, since it presents some advantages such as minimising heat damage to the colour and flavour, inhibiting enzymatic browning and thus dispensing the addition of sulphite and, mainly, reducing energy costs. The objective of the present study was to evaluate the effect of using inverted sugar and sucrose syrups as osmotic agents in the dehydration of mango. The conditions used in the dehydration process were: syrup/fruit ratio of 3:1 (v/w); temperature of 45ºC and constant stirring. The in natura and osmo-dehydrated fruits were evaluated in relation to pH, moisture content, water activity (a w) and soluble solids (ºBrix). Solids incorporation and loss in mass after the dehydration process were also determined. The sensory acceptance of the in natura and osmo-dehydrated fruits was determined for the attributes of aroma, flavour, texture and overall acceptance using a hedonic scale. Osmotic dehydration resulted in a reduction in moisture content and water activity, an increase in Brix and maintenance of the pH. The treatment with inverted sugar syrup resulted in more significant alterations in moisture content, a w, Brix, solids incorporation and loss in mass than the treatment with sucrose syrup. Mangos osmo-dehydrated with inverted sugar (55.3% inversion rate) syrup obtained acceptance similar to in natura mangos, this treatment being considered the most adequate for dehydration purposes

A novel approach with "skeletonised MTR" measures tract-specific microstructural changes in early primary-progressive MS

We combined tract‐based spatial statistics (TBSS) and magnetization transfer (MT) imaging to assess white matter (WM) tract‐specific short‐term changes in early primary‐progressive multiple sclerosis (PPMS) and their relationships with clinical progression. Twenty‐one PPMS patients within 5 years from onset underwent MT and diffusion tensor imaging (DTI) at baseline and after 12 months. Patients' disability was assessed. DTI data were processed to compute fractional anisotropy (FA) and to generate a common WM “skeleton,” which represents the tracts that are “common” to all subjects using TBSS. The MT ratio (MTR) was computed from MT data and co‐registered with the DTI. The skeletonization procedure derived for FA was applied to each subject's MTR image to obtain a “skeletonised” MTR map for every subject. Permutation tests were used to assess (i) changes in FA, principal diffusivities, and MTR over the follow‐up, and (ii) associations between changes in imaging parameters and changes in disability. Patients showed significant decreases in MTR over one year in the corpus callosum (CC), bilateral corticospinal tract (CST), thalamic radiations, and superior and inferior longitudinal fasciculi. These changes were located both within lesions and the normal‐appearing WM. No significant longitudinal change in skeletonised FA was found, but radial diffusivity (RD) significantly increased in several regions, including the CST bilaterally and the right inferior longitudinal fasciculus. MTR decreases, RD increases, and axial diffusivity decreases in the CC and CST correlated with a deterioration in the upper limb function. We detected tract‐specific multimodal imaging changes that reflect the accrual of microstructural damage and possibly contribute to clinical impairment in PPMS. We propose a novel methodology that can be extended to other diseases to map cross‐subject and tract‐specific changes in MTR

A novel approach with "skeletonised MTR" measures tract-specific microstructural changes in early primary-progressive MS

We combined tract‐based spatial statistics (TBSS) and magnetization transfer (MT) imaging to assess white matter (WM) tract‐specific short‐term changes in early primary‐progressive multiple sclerosis (PPMS) and their relationships with clinical progression. Twenty‐one PPMS patients within 5 years from onset underwent MT and diffusion tensor imaging (DTI) at baseline and after 12 months. Patients' disability was assessed. DTI data were processed to compute fractional anisotropy (FA) and to generate a common WM “skeleton,” which represents the tracts that are “common” to all subjects using TBSS. The MT ratio (MTR) was computed from MT data and co‐registered with the DTI. The skeletonization procedure derived for FA was applied to each subject's MTR image to obtain a “skeletonised” MTR map for every subject. Permutation tests were used to assess (i) changes in FA, principal diffusivities, and MTR over the follow‐up, and (ii) associations between changes in imaging parameters and changes in disability. Patients showed significant decreases in MTR over one year in the corpus callosum (CC), bilateral corticospinal tract (CST), thalamic radiations, and superior and inferior longitudinal fasciculi. These changes were located both within lesions and the normal‐appearing WM. No significant longitudinal change in skeletonised FA was found, but radial diffusivity (RD) significantly increased in several regions, including the CST bilaterally and the right inferior longitudinal fasciculus. MTR decreases, RD increases, and axial diffusivity decreases in the CC and CST correlated with a deterioration in the upper limb function. We detected tract‐specific multimodal imaging changes that reflect the accrual of microstructural damage and possibly contribute to clinical impairment in PPMS. We propose a novel methodology that can be extended to other diseases to map cross‐subject and tract‐specific changes in MTR