A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics

In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of $\mathbb{R}^N$. The nonlinear reactive terms are assumed to satisfy natural structure conditions which provide non-negativity of the solutions and uniform control of the total mass. The diffusion operators are of type $u_i\mapsto d_i(-\Delta)^s u_i$ where $0<s<1$. Global existence of strong solutions is proved under the assumption that the nonlinearities are at most of polynomial growth. Our results extend previous results obtained when the diffusion operators are of type $u_i\mapsto -d_i\Delta u_i$. On the other hand, we use numerical simulations to examine the global existence of solutions to systems with exponentially growing right-hand sides, which remains so far an open theoretical question even in the case $s=1$

Modulated photothermal measurements applied to multi-layer superinsulation foils

Abstract -Photothermal measurements based on modulated heating in the visible spectral range and IR detection of the thermal response are used to determine the effective thermal transport properties and the shielding properties of multi-layer superinsulation foils consisting of different numbers of aluminized mylar layers and spacer layers. The measurements have been run at ambient temperature, both at ambient pressure and at reduced pressures between 1 mbar and 300 mbar

Particularites de l’epilepsie au cours des maladies inflammatoires du systeme nerveux central

Introduction : Les crises épileptiques (CE) font partie des manifestations neurologiques des maladies inflammatoires (MI). Elles constituent un tournant évolutif grave de la maladie. Objectifs : Nous avons évalué les particularités sémiologiques, électriques, radiologiques, thérapeutiques et évolutives de l’épilepsie au cours des MI du système nerveux central (SNC). Nous avons également discuté les mécanismes physiopathologiques de l’épilepsie ainsi que les facteurs prédictifs de survenue de CE chez ces patients. Méthodes : C’est une étude rétrospective incluant les patients suivis pour épilepsie dans le cadre d’une MI du SNC. Tous nos patients ont bénéficié d’une imagerie cérébrale. Résultat : Nous avons colligé 32 patients (11 avec sclérose en plaque, 6 avec maladie de Behcet et 15 avec lupus érythémateux disséminé). Le délai des CE au cours des MI était de 3,2 ans. Elles étaient généralisées dans 62,5 % des cas. L’IRM a montré des lésions sous corticales et des lésions du tronc cérébral respectivement dans 71,8 % et 25% des cas. Une thrombose veineuse cérébrale était diagnostiquée chez 3 malades. L’EEG a objectivé des ondes lentes dans 34% des cas, et des anomalies paroxystiques chez 3 patients. Le phénobarbital était le traitement le plus prescrit. Le contrôle des CE était obtenu dans la majorité des cas. Conclusion : La survenue des CE au cours des MI pose un problème de prise en charge. Un diagnostic précoce et un traitement de l’épilepsie permettent de contrôler ces crises afin d’éviter les états de mal épileptiques qui mettent en jeu le pronostic vital des patients. Mots clés: Epilepsie, Facteurs de risque, Maladies inflammatoires  Particularities of epilepsy associated with inflammatory diseases of the central nervous systemIntroduction: The frequency of the central nervous system involvement in autoimmune disorders is very variable. Seizures are among the most common neurological manifestations, and can be occasionally the presenting symptom.Methods: All files of 32 patients with autoimmune disorder diagnosed with epilepsy were evaluated retrospectively (11 with multiple sclerosis, 6 with Behcet disease, and 15 systemic lupus erythematosus). The demographic data, clinical findings including seizures, EEG and neuroimaging findings were reviewed. Results: The sex ratio was 0.45 (10H / 22F). Seizures started 3.2 years after the onset of the inflammatory diseases. They were during either the first or following neurological attacks in 68.7% of cases. 20 patients (62,5%) had only generalized tonic-clonic seizures. Brain magnetic resonance imaging (MRI) was performed to all patients. Sub-cortical and brainstem lesions were identified respectively in 71,8 % and 25%. MRI revealed cerebral sinus thrombosis in three patients. The EEG revealed focal epileptiform discharges in three patients. In 12 patients (34%) slow waves were seen. Antiepileptic drugs were prescribed in all cases (phenobarbital :53%, valproic acid: 31%, Carbamazepine: 15%). A sufficient control of seizures was obtained in most cases. Conclusion: Seizures often complicate systemic autoimmune disorders through a variety of mechanisms. A better understanding of the mechanisms of epileptogenesis in those patients could lead to targeted treatments and better outcomes. Key words: Epilepsy, inflammatory disease, risk factor

THERMAL-WAVE MEASUREMENTS OF MULTI-LAYER SUPERINSULATION FOILS

Abstract Thermal wave measurements rely on modulated laser heating and IR detection of the thermal response, using a MCT detector with IR optics and lock-in amplifier. Both, the amplitude and the phase retardation of the thermal wave response with respect to the heating modu-lation, provide information on the effective thermal transport properties of the measured samples. Here we apply this method to determine the shielding properties of multilayer superinsulation foils, used for the thermal insulation of superconducting magnetic coils in particle accelerators, e.g. in LHC at CERN. The measurements, performed at ambient temperature and ambient and reduced pressure, have been interpreted using a theoreti-cal model, including both conductive and radiative heat transport. The results show that the radiative heat transport can be well identified, although the conductive heat transport is dominant across multi-layer samples. At reduced pressures, the conductive heat transport decrea-ses considerably and, depending on the number of spacer layers, the radiative heat transport can become dominant. Applying this new photothermal technique, the shielding efficiencies of multi-layer superinsulation foils have been compared in this work for the first time

Enjeux de conservation d’une zone humide d’eau douce méditerranéenne exceptionnelle : la Garâa Sejenane (Tunisie septentrionale)

Cet article a pour but d’évaluer les enjeux de conservation concernant la végétation hydrophytique de la plus grande zone humide naturelle d’eau douce de Tunisie, la Garâa Sejenane. Les 55 relevés phytosociologiques réalisés révèlent une richesse floristique exceptionnelle, avec 74 hydrophytes dont 26 sont à forte valeur patrimoniale. Des analyses multivariées (AFC, CHA) effectuées sur ces données distinguent trois types d’habitats : des cultures inondables, des marais temporaires, et des pelouses humides/mares temporaires. Leur cartographie montre une structure en 3 zones concentriques : une ceinture externe constituée de pelouses humides, de mares temporaires et de prairies fourragères sèches, une zone intermédiaire occupée par des marais temporaires et des prairies fourragères humides, et une zone centrale formée de cultures inondables. Un Indice de Rareté des Espèces très élevé, et des espèces à fort enjeu conservatoire (1 endémique stricte à la Garâa Sejenane, 5 espèces dont elle constitue l’unique localité tunisienne, et 2 espèces dont elle abrite les plus grandes populations nord-africaines) révèlent l’intérêt écologique et conservatoire majeur du site, et ceci malgré de fortes pressions anthropiques subies depuis les années 60. Dans le contexte actuel d’augmentation de la pression de perturbation, la conservation à long terme de cette biodiversité exceptionnelle nécessite la mise en place de mesures de gestion appropriées intégrant les populations locales.This study addresses the conservation issues of the hydrophytic vegetation of Garâa Sejenane, the largest natural freshwater wetland in Tunisia. Fifty-five phytosociological relevés reveal the exceptional floristic wealth, including 74 hydrophytes of which 26 are patrimonial species. Multivariate analyses (CA, AHC) differentiate three types of habitats: flooded crops, temporary marshes, and wet lawns/temporary pools. Their mapping shows concentric zones, including an external belt of wet lawns, temporary pools and dry fodder meadows, an intermediate belt of temporary marshes and wet fodder meadows, and a central area of flood crops. A high Species Rarity Index and the occurrence of several species with high conservation values (1 strictly endemic species to the Garâa Sejenane, 5 others that exist in Tunisia only in this site, and 2 species whose local populations are the largest in North Africa) confirm the major ecological and conservatory interest of the site, despite anthropogenic pressures on the Garâa Sejenane since the sixties. In the present-day context of increasing human pressure, the long-term conservation of this exceptional biodiversity needs the implementation of targeted management measures integrating local populations

Mapping child growth failure across low- and middle-income countries

Childhood malnutrition is associated with high morbidity and mortality globally1. Undernourished children are more likely to experience cognitive, physical, and metabolic developmental impairments that can lead to later cardiovascular disease, reduced intellectual ability and school attainment, and reduced economic productivity in adulthood2. Child growth failure (CGF), expressed as stunting, wasting, and underweight in children under five years of age (0�59 months), is a specific subset of undernutrition characterized by insufficient height or weight against age-specific growth reference standards3�5. The prevalence of stunting, wasting, or underweight in children under five is the proportion of children with a height-for-age, weight-for-height, or weight-for-age z-score, respectively, that is more than two standard deviations below the World Health Organization�s median growth reference standards for a healthy population6. Subnational estimates of CGF report substantial heterogeneity within countries, but are available primarily at the first administrative level (for example, states or provinces)7; the uneven geographical distribution of CGF has motivated further calls for assessments that can match the local scale of many public health programmes8. Building from our previous work mapping CGF in Africa9, here we provide the first, to our knowledge, mapped high-spatial-resolution estimates of CGF indicators from 2000 to 2017 across 105 low- and middle-income countries (LMICs), where 99 of affected children live1, aggregated to policy-relevant first and second (for example, districts or counties) administrative-level units and national levels. Despite remarkable declines over the study period, many LMICs remain far from the ambitious World Health Organization Global Nutrition Targets to reduce stunting by 40 and wasting to less than 5 by 2025. Large disparities in prevalence and progress exist across and within countries; our maps identify high-prevalence areas even within nations otherwise succeeding in reducing overall CGF prevalence. By highlighting where the highest-need populations reside, these geospatial estimates can support policy-makers in planning interventions that are adapted locally and in efficiently directing resources towards reducing CGF and its health implications. © 2020, The Author(s)

Mapping subnational HIV mortality in six Latin American countries with incomplete vital registration systems

BackgroundHuman immunodeficiency virus (HIV) remains a public health priority in Latin America. While the burden of HIV is historically concentrated in urban areas and high-risk groups, subnational estimates that cover multiple countries and years are missing. This paucity is partially due to incomplete vital registration (VR) systems and statistical challenges related to estimating mortality rates in areas with low numbers of HIV deaths. In this analysis, we address this gap and provide novel estimates of the HIV mortality rate and the number of HIV deaths by age group, sex, and municipality in Brazil, Colombia, Costa Rica, Ecuador, Guatemala, and Mexico.MethodsWe performed an ecological study using VR data ranging from 2000 to 2017, dependent on individual country data availability. We modeled HIV mortality using a Bayesian spatially explicit mixed-effects regression model that incorporates prior information on VR completeness. We calibrated our results to the Global Burden of Disease Study 2017.ResultsAll countries displayed over a 40-fold difference in HIV mortality between municipalities with the highest and lowest age-standardized HIV mortality rate in the last year of study for men, and over a 20-fold difference for women. Despite decreases in national HIV mortality in all countries-apart from Ecuador-across the period of study, we found broad variation in relative changes in HIV mortality at the municipality level and increasing relative inequality over time in all countries. In all six countries included in this analysis, 50% or more HIV deaths were concentrated in fewer than 10% of municipalities in the latest year of study. In addition, national age patterns reflected shifts in mortality to older age groups-the median age group among decedents ranged from 30 to 45years of age at the municipality level in Brazil, Colombia, and Mexico in 2017.ConclusionsOur subnational estimates of HIV mortality revealed significant spatial variation and diverging local trends in HIV mortality over time and by age. This analysis provides a framework for incorporating data and uncertainty from incomplete VR systems and can help guide more geographically precise public health intervention to support HIV-related care and reduce HIV-related deaths.Peer reviewe

Mapping child growth failure across low- and middle-income countries

Child growth failure (CGF), manifested as stunting, wasting, and underweight, is associated with high 5 mortality and increased risks of cognitive, physical, and metabolic impairments. Children in low- and middle-income countries (LMICs) face the highest levels of CGF globally. Here we illustrate national and subnational variation of under-5 CGF indicators across LMICs, providing 2000–2017 annual estimates mapped at a high spatial resolution and aggregated to policy-relevant administrative units and national levels. Despite remarkable declines over the study period, many LMICs remain far from the World Health 10 Organization’s ambitious Global Nutrition Targets to reduce stunting by 40% and wasting to less than 5% by 2025. Large disparities in prevalence and rates of progress exist across regions, countries, and within countries; our maps identify areas where high prevalence persists even within nations otherwise succeeding in reducing overall CGF prevalence. By highlighting where subnational disparities exist and the highest-need populations reside, these geospatial estimates can support policy-makers in planning locally 15 tailored interventions and efficient directing of resources to accelerate progress in reducing CGF and its health implications

Mapping disparities in education across low- and middle-income countries

Analyses of the proportions of individuals who have completed key levels of schooling across all low- and middle-income countries from 2000 to 2017 reveal inequalities across countries as well as within populations. Educational attainment is an important social determinant of maternal, newborn, and child health(1-3). As a tool for promoting gender equity, it has gained increasing traction in popular media, international aid strategies, and global agenda-setting(4-6). The global health agenda is increasingly focused on evidence of precision public health, which illustrates the subnational distribution of disease and illness(7,8); however, an agenda focused on future equity must integrate comparable evidence on the distribution of social determinants of health(9-11). Here we expand on the available precision SDG evidence by estimating the subnational distribution of educational attainment, including the proportions of individuals who have completed key levels of schooling, across all low- and middle-income countries from 2000 to 2017. Previous analyses have focused on geographical disparities in average attainment across Africa or for specific countries, but-to our knowledge-no analysis has examined the subnational proportions of individuals who completed specific levels of education across all low- and middle-income countries(12-14). By geolocating subnational data for more than 184 million person-years across 528 data sources, we precisely identify inequalities across geography as well as within populations.Peer reviewe

Predicting the environmental suitability for onchocerciasis in Africa as an aid to elimination planning

Recent evidence suggests that, in some foci, elimination of onchocerciasis from Africa may be feasible with mass drug administration (MDA) of ivermectin. To achieve continental elimination of transmission, mapping surveys will need to be conducted across all implementation units (IUs) for which endemicity status is currently unknown. Using boosted regression tree models with optimised hyperparameter selection, we estimated environmental suitability for onchocerciasis at the 5 × 5-km resolution across Africa. In order to classify IUs that include locations that are environmentally suitable, we used receiver operating characteristic (ROC) analysis to identify an optimal threshold for suitability concordant with locations where onchocerciasis has been previously detected. This threshold value was then used to classify IUs (more suitable or less suitable) based on the location within the IU with the largest mean prediction. Mean estimates of environmental suitability suggest large areas across West and Central Africa, as well as focal areas of East Africa, are suitable for onchocerciasis transmission, consistent with the presence of current control and elimination of transmission efforts. The ROC analysis identified a mean environmental suitability index of 0.71 as a threshold to classify based on the location with the largest mean prediction within the IU. Of the IUs considered for mapping surveys, 50.2% exceed this threshold for suitability in at least one 5×5-km location. The formidable scale of data collection required to map onchocerciasis endemicity across the African continent presents an opportunity to use spatial data to identify areas likely to be suitable for onchocerciasis transmission. National onchocerciasis elimination programmes may wish to consider prioritising these IUs for mapping surveys as human resources, laboratory capacity, and programmatic schedules may constrain survey implementation, and possibly delaying MDA initiation in areas that would ultimately qualify