Convergence of the mass-transport steepest descent scheme for the sub-critical Patlak-Keller-Segel model

Variational steepest descent approximation schemes for the modified Patlak-Keller-Segel equation with a logarithmic interaction kernel in any dimension are considered. We prove the convergence of the suitably interpolated in time implicit Euler scheme, defined in terms of the Euclidean Wasserstein distance, associated to this equation for sub-critical masses. As a consequence, we recover the recent result about the global in time existence of weak-solutions to the modified Patlak-Keller-Segel equation for the logarithmic interaction kernel in any dimension in the sub-critical case. Moreover, we show how this method performs numerically in one dimension. In this particular case, this numerical scheme corresponds to a standard implicit Euler method for the pseudo-inverse of the cumulative distribution function. We demonstrate its capabilities to reproduce easily without the need of mesh-refinement the blow-up of solutions for super-critical masses.

On the applicability of mathematics : philosophical and historical perspectives

The present thesis is a contribution to the debate on the applicability of mathematics; it examines the interplay between mathematics and the world, using historical case studies. The first part of the thesis consists of four small case studies. In chapter 1, I criticize "ante rem structuralism", proposed by Stewart Shapiro, by showing that his so-called "finite cardinal structures" are in conflict with mathematical practice. In chapter 2, I discuss Leonhard Euler's solution to the Königsberg bridges problem. I propose interpreting Euler's solution both as an explanation within mathematics and as a scientific explanation. I put the insights from the historical case to work against recent philosophical accounts of the Königsberg case. In chapter 3, I analyze the predator-prey model, proposed by Lotka and Volterra. I extract some interesting philosophical lessons from Volterra's original account of the model, such as: Volterra's remarks on mathematical methodology; the relation between mathematics and idealization in the construction of the model; some relevant details in the derivation of the Third Law, and; notions of intervention that are motivated by one of Volterra's main mathematical tools, phase spaces. In chapter 4, I discuss scientific and mathematical attempts to explain the structure of the bee's honeycomb. In the first part, I discuss a candidate explanation, based on the mathematical Honeycomb Conjecture, presented in Lyon and Colyvan (2008). I argue that this explanation is not scientifically adequate. In the second part, I discuss other mathematical, physical and biological studies that could contribute to an explanation of the bee's honeycomb. The upshot is that most of the relevant mathematics is not yet sufficiently understood, and there is also an ongoing debate as to the biological details of the construction of the bee's honeycomb. The second part of the thesis is a bigger case study from physics: the genesis of GR. Chapter 5 is a short introduction to the history, physics and mathematics that is relevant to the genesis of general relativity (GR). Chapter 6 discusses the historical question as to what Marcel Grossmann contributed to the genesis of GR. I will examine the so-called "Entwurf" paper, an important joint publication by Einstein and Grossmann, containing the first tensorial formulation of GR. By comparing Grossmann's part with the mathematical theories he used, we can gain a better understanding of what is involved in the first steps of assimilating a mathematical theory to a physical question. In chapter 7, I introduce, and discuss, a recent account of the applicability of mathematics to the world, the Inferential Conception (IC), proposed by Bueno and Colyvan (2011). I give a short exposition of the IC, offer some critical remarks on the account, discuss potential philosophical objections, and I propose some extensions of the IC. In chapter 8, I put the Inferential Conception (IC) to work in the historical case study: the genesis of GR. I analyze three historical episodes, using the conceptual apparatus provided by the IC. In episode one, I investigate how the starting point of the application process, the "assumed structure", is chosen. Then I analyze two small application cycles that led to revisions of the initial assumed structure. In episode two, I examine how the application of "new" mathematics - the application of the Absolute Differential Calculus (ADC) to gravitational theory - meshes with the IC. In episode three, I take a closer look at two of Einstein's failed attempts to find a suitable differential operator for the field equations, and apply the conceptual tools provided by the IC so as to better understand why he erroneously rejected both the Ricci tensor and the November tensor in the Zurich Notebook.

Molecular estimation of dispersal for ecology and population genetics

The dispersal process, by which individuals or other dispersing agents such as gametes or seeds move from birthplace to a new settlement locality, has important consequences for the dynamics of genes, individuals, and species. Many of the questions addressed by ecology and evolutionary biology require a good understanding of species' dispersal patterns. Much effort has thus been devoted to overcoming the difficulties associated with dispersal measurement. In this context, genetic tools have long been the focus of intensive research, providing a great variety of potential solutions to measuring dispersal. This methodological diversity is reviewed here to help (molecular) ecologists find their way toward dispersal inference and interpretation and to stimulate further developments.

Semigroup analysis of structured populations with distributed states-at-birth arising in mathematical aquaculture

Motivated by the modelling of structured parasite populations in aquaculture we consider a class of physiologically structured population models, where individuals may be recruited into the population at different sizes in general. That is, we consider a size-structured population model with distributed states-at-birth. The mathematical model which describes the evolution of such a population is a first order nonlinear partial integro-differential equation of hyperbolic type. First, we use positive perturbation arguments and utilise results from the spectral theory of semigroups to establish conditions for the existence of a positive equilibrium solution of our model. Then we formulate conditions that guarantee that the linearised system is governed by a positive quasicontraction semigroup on the biologically relevant state space. We also show that the governing linear semigroup is eventually compact, hence growth properties of the semigroup are determined by the spectrum of its generator. In case of a separable fertility function we deduce a characteristic equation and investigate the stability of equilibrium solutions in the general case using positive perturbation arguments.

Implementation of IPM programs on European greenhouse tomato production areas: Tools and constraints

Whiteflies and whitefly-transmitted viruses are some of the major constraints on European tomato production. The main objectives of this study were to: identify where and why whiteflies are a major limitation on tomato crops; collect information about whiteflies and associated viruses; determine the available management tools; and identify key knowledge gaps and research priorities. This study was conducted within the framework of ENDURE (European Network for Durable Exploitation of Crop Protection Strategies). Two whitefly species are the main pests of tomato in Europe: Bemisia tabaci and Trialeurodes vaporariorum. Trialeurodes vaporariorum is widespread to all areas where greenhouse industry is present, and B. tabaci has invaded, since the early 1990’s, all the subtropical and tropical areas. Biotypes B and Q of B. tabaci are widespread and especially problematic. Other key tomato pests are Aculops lycopersici, Helicoverpa armigera, Frankliniella occidentalis, and leaf miners. Tomato crops are particularly susceptible to viruses causingTomato yellow leaf curl disease (TYLCD). High incidences of this disease are associated to high pressure of its vector, B. tabaci. The ranked importance of B. tabaci established in this study correlates with the levels of insecticide use, showing B. tabaci as one of the principal drivers behind chemical control. Confirmed cases of resistance to almost all insecticides have been reported. Integrated Pest Management based on biological control (IPM-BC) is applied in all the surveyed regions and identified as the strategy using fewer insecticides. Other IPM components include greenhouse netting and TYLCD-tolerant tomato cultivars. Sampling techniques differ between regions, where decisions are generally based upon whitefly densities and do not relate to control strategies or growing cycles. For population monitoring and control, whitefly species are always identified. In Europe IPM-BC is the recommended strategy for a sustainable tomato production. The IPM-BC approach is mainly based on inoculative releases of the parasitoids Eretmocerus mundus and Encarsia formosa and/or the polyphagous predators Macrolophus caliginosus and Nesidiocoris tenuis. However, some limitations for a wider implementation have been identified: lack of biological solutions for some pests, costs of beneficials, low farmer confidence, costs of technical advice, and low pest injury thresholds. Research priorities to promote and improve IPM-BC are proposed on the following domains: (i) emergence and invasion of new whitefly-transmitted viruses; (ii) relevance of B. tabaci biotypes regarding insecticide resistance; (iii) biochemistry and genetics of plant resistance; (iv) economic thresholds and sampling techniques of whiteflies for decision making; and (v) conservation and management of native whitefly natural enemies and improvement of biological control of other tomato pests.

Role of the hypocretin system in cocaine- and alcohol-related behaviors : evidence from hypocretin-deficient mice

RésuméL'addiction aux drogues est une maladie multifactorieile affectant toutes les strates de notre société. Cependant, la vulnérabilité à développer une addiction dépend de facteurs environnementaux, génétiques et psychosociaux. L'addiction aux drogues est décrite comme étant une maladie chronique avec un taux élevé de rechutes. Elle se caractérise par un besoin irrépressible de consommer une drogue et une augmentation progressive de la consommation en dépit des conséquences néfastes. Les mécanismes cérébraux responsables des dépendances aux drogues ne sont que partiellement élucidés, malgré une accumulation croissante d'évidences démontrant des adaptations au niveau moléculaire et cellulaire au sein des systèmes dopaminergique et glutamatergique. L'identification de nouveaux facteurs neurobiologiques responsables de la vulnérabilité aux substances d'abus est cruciale pour le développement de nouveaux traitements thérapeutiques capables d'atténuer et de soulager les symptômes liés à la dépendance aux drogues.Au cours des dernières années, de nombreuses études ont démontré qu'un nouveau circuit cérébral, le système hypocrétinergique, était impliqué dans plusieurs fonctions physiologiques, tel que l'éveil, le métabolisme énergétique, la motivation, le stress et les comportements liés aux phénomènes de récompense. Le système hypocrétinergique est composé d'environ 3000-4000 neurones issus de l'hypothalamus latéral projetant dans tout ie cerveau. Des souris transgéniques pour le gène des hypocrétines ont été générées et leur phénotype correspond à celui des animaux sauvages, excepté le fait qu'elles soient atteintes d'attaques de sommeil similaires à celles observées chez les patients narcoleptiques. H semblerait que les hypocrétines soient requises pour l'acquisition et l'expression de la dépendance aux drogues. Cependant, le mécanisme précis reste encore à être élucidé. Dans ce rapport, nous rendons compte des comportements liés aux phénomènes de récompense liés à l'alcool et à la cocaine chez les souris knock-out (KO), hétérozygotes (HET) et sauvages (WT).Nous avons, dans un premier temps, évalué l'impact d'injections répétées de cocaïne (15 mg/kg, ip) sur la sensibilisation locomotrice et sur le conditionnement place préférence. Nous avons pu observer que les souris WT, HET et KO exprimaient une sensibilisation locomotrice induite par une administration chronique de cocaïne, cependant les souris déficientes en hypocrétines démontraient une sensibilisation retardée et atténuée. Π est intéressant de mentionner que les mâles HET exprimaient une sensibilisation comportementale intermédiaire. Après normalisation des données, toutes les souris exprimaient une amplitude de sensibilisation similaire, excepté les souris mâles KO qui affichaient, le premier jour de traitement, une sensibilisation locomotrice réduite et retardée, reflétant un phénotype hypoactif plutôt qu'une altération de la réponse aux traitements chroniques de cocaïne. Contre toute attente, toutes les souris femelles exprimaient un pattern similaire de sensibilisation locomotrice à la cocaïne. Nous avons ensuite évalué l'effet d'un conditionnement comportemental à un environnement associé à des injections répétées de cocaine (15 mg / kg ip). Toutes les souris, quelque soit leur sexe ou leur génotype, ont manifesté une préférence marquée pour l'environnement apparié à la cocaïne. Après deux semaines d'abstinence à la cocaïne, les mâles et les femelles déficientes en hypocrétines n'exprimaient plus aucune préférence pour le compartiment précédemment associé à la cocaïne. Alors que les souris WT et HET maintenaient leur préférence pour le compartiment associé à la cocaïne. Pour finir, à l'aide d'un nouveau paradigme appelé IntelliCage®, nous avons pu évaluer la consommation de liquide chez les femelles WT, HET et KO. Lorsqu'il n'y avait que de l'eau disponible, nous avons observé que les femelles KO avaient tendance à moins explorer les quatre coins de la cage. Lorsque les souris étaient exposées à quatre types de solutions différentes (eau, ImM quinine ou 0.2% saccharine, alcool 8% et alcool 16%), les souris KO avaient tendance à moins consommer l'eau sucrée et les solutions alcoolisées. Cependant, après normalisation des données, aucune différence significative n'a pu être observée entre les différents génotypes, suggérant que la consommation réduite d'eau sucrée ou d'alcool peut être incombée à l'hypoactivité des souris KO.Ces résultats confirment que le comportement observé chez les souris KO serait dû à des compensations développementales, puisque la sensibilisation locomotrice et le conditionnement comportemental à la cocaïne étaient similaires aux souris HET et WT. En ce qui concerne la consommation de liquide, les souris KO avaient tendance à consommer moins d'eau sucrée et de solutions alcoolisées. Le phénotype hypoactif des souris déficientes en hypocrétine est probablement responsable de leur tendance à moins explorer leur environnement. Il reste encore à déterminer si l'expression de ce phénotype est la conséquence d'un état de vigilance amoindri ou d'une motivation diminuée à la recherche de récompense. Nos résultats suggèrent que les souris déficientes en hypocrétine affichent une motivation certaine à la recherche de récompense lorsqu'elles sont exposées à des environnements où peu d'efforts sont à fournir afin d'obtenir une récompense.AbstractDrug addiction is a multifactorial disorder affecting human beings regardless their education level, their economic status, their origin or even their gender, but the vulnerability to develop addiction depends on environmental, genetic and psychosocial dispositions. Drug addiction is defined as a chronic relapsing disorder characterized by compulsive drug seeking, with loss of control over drug intake and persistent maladaptive decision making in spite of adverse consequences. The brain mechanisms responsible for drug abuse remain partially unknown despite accumulating evidence delineating molecular and cellular adaptations within the glutamatergic and the dopaminergic systems. However, these adaptations do not fully explain the complex brain disease of drug addiction. The identification of other neurobiological factors responsible for the vulnerability to substance abuse is crucial for the development of promising therapeutic treatments able to alleviate signs of drug dependence.For the past few years, growing evidence demonstrated that a recently discovered brain circuit, the hypocretinergic system, is implicated in many physiological functions, including arousal, energy metabolism, motivation, stress and reward-related behaviors. The hypocretin system is composed of a few thousands neurons arising from the lateral hypothalamus and projecting to the entire brain. Hypocretin- deficient mice have been generated, and unexpectedly, their phenotype resembles that of wild type mice excepting sleep attacks strikingly similar to those of human narcolepsy patients. Evidence suggesting that hypocretins are required for the acquisition and the expression of drug addiction has also been reported; however the precise mechanism by which hypocretins modulate drug seeking behaviors remains a matter of debate. Here, we report alcohol and cocaine reward-related behaviors in hypocretin-deficient mice (KO), as well as heterozygous (HET) and wild type (WT) littermates.We first evaluated the impact of repeated cocaine injections (15 mg/kg, ip) on locomotor sensitization and conditioned place preference. We observed that WT, HET and KO mice exhibited behavioral sensitization following repeated cocaine administrations, but hypocretin deficient males displayed a delayed and attenuated response to chronic cocaine administrations. Interestingly, HET males exhibited an intermediate pattern of behavioral sensitization. However, after standardization of the post-injection data versus the period of habituation prior to cocaine injections, all mice displayed similar amplitudes of behavioral sensitization, except a reduced response in KO males on the first day, suggesting that the delayed and reduced cocaine-induced locomotor sensitization may reflect a hypoactive phenotype and probably not an altered response to repeated cocaine administrations. Unexpectedly, all female mice exhibited similar patterns of cocaine-induced behavioral sensitization. We then assessed the behavioral conditioning for an environment repeatedly paired with cocaine injections (15 mg/kg ip). All mice, whatever their gender or genotype, exhibited a robust preference for the environment previously paired with cocaine administrations. Noteworthy, following two weeks of cocaine abstinence, hypocretin-deficient males and females no longer exhibited any preference for the compartment previously paired with cocaine rewards whereas both WT and HET mice continued manifesting a robust preference. We finally assessed drinking behaviors in WT, HET and KO female mice using a novel paradigm, the IntelliCages®. We report here that KO females tended to less explore the four cage comers where water was easily available. When exposed to four different kinds of liquid solutions (water, ImM quinine or saccharine 0.2%, alcohol 8% and alcohol 16%), KO mice tended to less consume the sweet and the alcoholic beverages. However, after data standardization, no significant differences were noticed between genotypes suggesting that the hypoactive phenotype is most likely accountable for the trend regarding the reduced sweet or alcohol intake in KO.Taken together, the present findings confirm that the behavior seen in Hcrt KO mice likely reflects developmental compensations since only a slightly altered cocaine-induced behavioral sensitization and a normal behavioral conditioning with cocaine were observed in these mice compared to HET and WT littermates. With regards to drinking behaviors, KO mice barely displayed any behavioral changes but a trend for reducing sweet and alcoholic beverages. Overall, the most striking observation is the constant hypoactive phenotype seen in the hypocretin-deficient mice that most likely is accountable for their reduced tendency to explore the environment. Whether this hypoactive phenotype is due to a reduced alertness or reduced motivation for reward seeking remains debatable, but our findings suggest that the hypocretin-deficient mice barely display any altered motivation for reward seeking in environments where low efforts are required to access to a reward.

The role of interleukin-5 (IL-5 ) in vivo: studies with IL-5 deficient mice

Eosinophil recruitment is a characteristic feature of a number of pathological conditions and was the topic of the recent International Symposium on allergic inflammation, asthma, parasitic and infectious diseases (Rio de Janeiro, June 3-5, 1996). Since interleukin5 (IL5) is believed to regulate the growth, differentiation and activation of eosinophils (Coffman et al. 1989, Sanderson 1992), the role of eosinophils and IL5 are closely linked. Although IL5 specifically regulates eosinophilia in vivo and this is its most well established activity, it is becoming clear that IL5 also has other biological effects. The recent derivation of an IL5 deficient mouse (Kopf et al. 1996), provides a model for exploring not only the role of IL5 and eosinophils but also other novel activities of IL5. Of note is that although the IL5 deficient mice cannot elicit a pronounced eosinophilia in response to inflammatory stimulation following aeroallergen challenge or parasite infection they still produce basal levels of eosinophils that appear to be morphologically and functionally normal. However, the basal levels of eosinophils appear insufficient for normal host defence as IL5 deficiency has now been shown to compromise defence against several helminth infections. In addition, IL5 deficient mice appear to have functional deficiencies in B-1 B lymphocytes and in IgA production.

Contact melting of a three-dimensional phase change material on a flat substrate

In this paper a model is developed to describe the three dimensional contact melting process of a cuboid on a heated surface. The mathematical description involves two heat equations (one in the solid and one in the melt), the Navier-Stokes equations for the flow in the melt, a Stefan condition at the phase change interface and a force balance between the weight of the solid and the countering pressure in the melt. In the solid an optimised heat balance integral method is used to approximate the temperature. In the liquid the small aspect ratio allows the Navier-Stokes and heat equations to be simplified considerably so that the liquid pressure may be determined using an igenfunction expansion and finally the problem is reduced to solving three first order ordinary differential equations. Results are presented showing the evolution of the melting process. Further reductions to the system are made to provide simple guidelines concerning the process. Comparison of the solutions with experimental data on the melting of n-octadecane shows excellent agreement.

On separation of a degenerate differential operator in Hilbert space

A coercive estimate for a solution of a degenerate second order di fferential equation is installed, and its applications to spectral problems for the corresponding dif ferential operator is demonstrated. The suffi cient conditions for existence of the solutions of one class of the nonlinear second order diff erential equations on the real axis are obtained.

Chagas disease: current epidemiological trends after the interruption of vectorial and transfusional transmission in the Southern Cone countries

Chagas disease, named after Carlos Chagas who first described it in 1909, exists only on the American Continent. It is caused by a parasite, Trypanosoma cruzi, transmitted to humans by blood-sucking triatomine bugs and by blood transfusion. Chagas disease has two successive phases, acute and chronic. The acute phase lasts 6 to 8 weeks. After several years of starting the chronic phase, 20% to 35% of the infected individuals, depending on the geographical area will develop irreversible lesions of the autonomous nervous system in the heart, esophagus, colon and the peripheral nervous system. Data on the prevalence and distribution of Chagas disease improved in quality during the 1980's as a result of the demographically representative cross-sectional studies carried out in countries where accurate information was not available. A group of experts met in Brasília in 1979 and devised standard protocols to carry out countrywide prevalence studies on human T. cruzi infection and triatomine house infestation. Thanks to a coordinated multi-country program in the Southern Cone countries the transmission of Chagas disease by vectors and by blood transfusion has been interrupted in Uruguay in1997, in Chile in 1999, and in 8 of the 12 endemic states of Brazil in 2000 and so the incidence of new infections by T. cruzi in the whole continent has decreased by 70%. Similar control multi-country initiatives have been launched in the Andean countries and in Central America and rapid progress has been recorded to ensure the interruption of the transmission of Chagas disease by 2005 as requested by a Resolution of the World Health Assembly approved in 1998. The cost-benefit analysis of the investments of the vector control program in Brazil indicate that there are savings of US$17 in medical care and disabilities for each dollar spent on prevention, showing that the program is a health investment with good return. Since the inception in 1979 of the Steering Committee on Chagas Disease of the Special Program for Research and Training in Tropical Diseases of the World Health Organization (TDR), the objective was set to promote and finance research aimed at the development of new methods and tools to control this disease. The well known research institutions in Latin America were the key elements of a world wide network of laboratories that received - on a competitive basis - financial support for projects in line with the priorities established. It is presented the time line of the different milestones that were answering successively and logically the outstanding scientific questions identified by the Scientific Working Group in 1978 and that influenced the development and industrial production of practical solutions for diagnosis of the infection and disease control.

Population pharmacokinetics and effects of efavirenz in patients with human immunodeficiency virus infection.

OBJECTIVE: The reverse transcriptase inhibitor efavirenz is currently used at a fixed dose of 600 mg/d. However, dosage individualization based on plasma concentration monitoring might be indicated. This study aimed to assess the efavirenz pharmacokinetic profile and interpatient versus intrapatient variability in patients who are positive for human immunodeficiency virus, to explore the relationship between drug exposure, efficacy, and central nervous system toxicity and to build up a Bayesian approach for dosage adaptation. METHODS: The population pharmacokinetic analysis was performed by use of NONMEM based on plasma samples from a cohort of unselected patients receiving efavirenz. With the use of a 1-compartment model with first-order absorption, the influence of demographic and clinical characteristics on oral clearance and oral volume of distribution was examined. The average drug exposure during 1 dosing interval was estimated for each patient and correlated with markers of efficacy and toxicity. The population kinetic parameters and the variabilities were integrated into a Bayesian equation for dosage adaptation based on a single plasma sample. RESULTS: Data from 235 patients with a total of 719 efavirenz concentrations were collected. Oral clearance was 9.4 L/h, oral volume of distribution was 252 L, and the absorption rate constant was 0.3 h(-1). Neither the demographic covariates evaluated nor the comedications showed a clinically significant influence on efavirenz pharmacokinetics. A large interpatient variability was found to affect efavirenz relative bioavailability (coefficient of variation, 54.6%), whereas the intrapatient variability was small (coefficient of variation, 26%). An inverse correlation between average drug exposure and viral load and a trend with central nervous system toxicity were detected. This enabled the derivation of a dosing adaptation strategy suitable to bring the average concentration into a therapeutic target from 1000 to 4000 microg/L to optimize viral load suppression and to minimize central nervous system toxicity. CONCLUSIONS: The high interpatient and low intrapatient variability values, as well as the potential relationship with markers of efficacy and toxicity, support the therapeutic drug monitoring of efavirenz. However, further evaluation is needed before individualization of an efavirenz dosage regimen based on routine drug level monitoring should be recommended for optimal patient management.

Pathology of peripheral T-cell lymphomas: where do we stand?

Peripheral T-cell lymphomas (PTCLs) are heterogeneous and uncommon malignancies characterized by a usually aggressive clinical course. The current World Health Organization (WHO) classification delineates many entities grouped according to the clinical presentation as predominantly leukemic, cutaneous, extranodal, or nodal diseases. Yet, few genetic lesions serve as entity-defining markers. Using high-throughput methods, new recurrent genetic and molecular alterations are being discovered that are expected to refine the current classification and serve as diagnostic genetic markers and targets for novel therapies. There is increasing evidence that certain cellular subsets, in particular follicular helper T cells and gamma delta T cells, represent important defining markers and/or determinants of the biology of certain entities; nevertheless, the cellular derivation of many PTCL entities remains poorly characterized and there is evidence of plasticity in terms of cellular derivation (alpha-beta, gamma-delta, natural killer [NK]) especially in several extranodal entities with a cytotoxic profile. While most clonal NK/T-cell proliferations are in general highly malignant, some more indolent forms of NK or T-cell lympho-proliferations are being identified.

Gene expression profiling of isolated tumour cells from anaplastic large cell lymphomas: insights into its cellular origin, pathogenesis and relation to Hodgkin lymphoma.

Anaplastic large cell lymphoma (ALCL) is a main type of T-cell lymphomas and comprises three distinct entities: systemic anaplastic lymphoma kinase (ALK) positive, systemic ALK(-) and cutaneous ALK(-) ALCL (cALCL). Little is known about their pathogenesis and their cellular origin, and morphological and immunophenotypical overlap exists between ALK(-) ALCL and classical Hodgkin lymphoma (cHL). We conducted gene expression profiling of microdissected lymphoma cells of five ALK(+) and four ALK(-) systemic ALCL, seven cALCL and sixteen cHL, and of eight subsets of normal T and NK cells. The analysis supports a derivation of ALCL from activated T cells, but the lymphoma cells acquired a gene expression pattern hampering an assignment to a CD4(+), CD8(+) or CD30(+) T-cell origin. Indeed, ALCL display a down-modulation of many T-cell characteristic molecules. All ALCL types show significant expression of NFkappaB target genes and upregulation of genes involved in oncogenesis (e.g. EZH2). Surprisingly, few genes are differentially expressed between systemic and cALCL despite their different clinical behaviour, and between ALK(-) ALCL and cHL despite their different cellular origin. ALK(+) ALCL are characterized by expression of genes regulated by pathways constitutively activated by ALK. This study provides multiple novel insights into the molecular biology and pathogenesis of ALCL.

Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulations

We present the derivation of the continuous-time equations governing the limit dynamics of discrete-time reaction-diffusion processes defined on heterogeneous metapopulations. We show that, when a rigorous time limit is performed, the lack of an epidemic threshold in the spread of infections is not limited to metapopulations with a scale-free architecture, as it has been predicted from dynamical equations in which reaction and diffusion occur sequentially in time

LdShake: learning design solutions sharing and co-edition

Two important challenges that teachers are currently facing are the sharing and the collaborative authoring of their learning design solutions, such as didactical units and learning materials. On the one hand, there are tools that can be used for the creation of design solutions and only some of them facilitate the co-edition. However, they do not incorporate mechanisms that support the sharing of the designs between teachers. On the other hand, there are tools that serve as repositories of educational resources but they do not enable the authoring of the designs. In this paper we present LdShake, a web tool whose novelty is focused on the combined support for the social sharing and co-edition of learning design solutions within communities of teachers. Teachers can create and share learning designs with other teachers using different access rights so that they can read, comment or co-edit the designs. Therefore, each design solution is associated to a group of teachers able to work on its definition, and another group that can only see the design. The tool is generic in that it allows the creation of designs based on any pedagogical approach. However, it can be particularized in instances providing pre-formatted designs structured according to a specific didactic method (such as Problem-Based Learning, PBL). A particularized LdShake instance has been used in the context of Human Biology studies where teams of teachers are required to work together in the design of PBL solutions. A controlled user study, that compares the use of a generic LdShake and a Moodle system, configured to enable the creation and sharing of designs, has been also carried out. The combined results of the real and controlled studies show that the social structure, and the commenting, co-edition and publishing features of LdShake provide a useful, effective and usable approach for facilitating teachers' teamwork.