From weak Allee effect to no Allee effect in Richards’ growth models

Population dynamics have been attracting interest since many years. Among the considered models, the Richards’ equations remain one of the most popular to describe biological growth processes. On the other hand, Allee effect is currently a major focus of ecological research, which occurs when positive density dependence dominates at low densities. In this chapter, we propose the dynamical study of classes of functions based on Richards’ models describing the existence or not of Allee effect. We investigate bifurcation structures in generalized Richards’ functions and we look for the conditions in the (β, r) parameter plane for the existence of a weak Allee effect region. We show that the existence of this region is related with the existence of a dovetail structure. When the Allee limit varies, the weak Allee effect region disappears when the dovetail structure also disappears. Consequently, we deduce the transition from the weak Allee effect to no Allee effect to this family of functions. To support our analysis, we present fold and flip bifurcation curves and numerical simulations of several bifurcation diagrams.

Symbolic dynamics and big bang bifurcation in Weibull-Gompertz-Fréchet's growth models

In this paper, motivated by the interest and relevance of the study of tumor growth models, a central point of our investigation is the study of the chaotic dynamics and the bifurcation structure of Weibull-Gompertz-Fréchet's functions: a class of continuousdefined one-dimensional maps. Using symbolic dynamics techniques and iteration theory, we established that depending on the properties of this class of functions in a neighborhood of a bifurcation point PBB, in a two-dimensional parameter space, there exists an order regarding how the infinite number of periodic orbits are born: the Sharkovsky ordering. Consequently, the corresponding symbolic sequences follow the usual unimodal kneading sequences in the topological ordered tree. We verified that under some sufficient conditions, Weibull-Gompertz-Fréchet's functions have a particular bifurcation structure: a big bang bifurcation point PBB. This fractal bifurcations structure is of the so-called "box-within-a-box" type, associated to a boxe ω1, where an infinite number of bifurcation curves issues from. This analysis is done making use of fold and flip bifurcation curves and symbolic dynamics techniques. The present paper is an original contribution in the framework of the big bang bifurcation analysis for continuous maps.

Explosion birth and extinction: Double big bang bifurcations and Allee effect in Tsoularis-Wallace's growth models

This work concerns dynamics and bifurcations properties of a new class of continuous-defined one-dimensional maps: Tsoularis-Wallace's functions. This family of functions naturally incorporates a major focus of ecological research: the Allee effect. We provide a necessary condition for the occurrence of this phenomenon of extinction. To establish this result we introduce the notions of Allee's functions, Allee's effect region and Allee's bifurcation curve. Another central point of our investigation is the study of bifurcation structures for this class of functions, in a three-dimensional parameter space. We verified that under some sufficient conditions, Tsoularis-Wallace's functions have particular bifurcation structures: the big bang and the double big bang bifurcations of the so-called "box-within-a-box" type. The double big bang bifurcations are related to the existence of flip codimension-2 points. Moreover, it is verified that these bifurcation cascades converge to different big bang bifurcation curves, where for the corresponding parameter values are associated distinct kinds of boxes. This work contributes to clarify the big bang bifurcation analysis for continuous maps and understand their relationship with explosion birth and extinction phenomena.

A cirurgia reconstrutiva em patologia oncológica do nariz : paralisia do nervo facial anatomia cirurgia do nariz

RESUMO: Os carcinomas localizados no nariz são muito frequentes em todas as séries conhecidas. São de diagnóstico clínico fácil e a sua confirmação por biópsia é muito segura. As terapêuticas mais indicadas são a cirurgia e a radioterapia, genericamente eficazes. Verifica-se, no entanto, que os pacientes continuam a solicitar tratamento em estádios muito avançados, mesmo conhecendo o diagnóstico e tendo acesso aos serviços sem custos. Esta situação poderá explicar-se face ao curso relativamente lento de muitos destes tumores e à idade geralmente avançada dos doentes que, de acordo com alguns inquéritos, receiam mais a terapeûtica do que a doença. Para obtenção de informação útil para condução deste problema, foram ainda analisados outros parâmetros. A maioria dos pacientes continua a solicitar tratamento quando as lesões envolvem duas subunidades nasais. Esta circunstância permite planear o tratamento cirúrgico com relativa facilidade, isto é, com exérese e reconstrução cujo resultado estético final é bastante aceitável. Os tumores de grandes dimensões, envolvendo várias subunidades, sendo frequentes, raramente implicam rinectomia total. Pelo contrário, são mais frequentes os tumores que envolvem metade do nariz e as estruturas vizinhas tais como o maxilar, a órbita e o lábio superior, atingindo mesmo a base do crânio. O controlo da doença nestes estádios é muito difícil. Não raramente, quando se crê que a doença está controlada, a cirurgia reconstrutiva bem como outras formas de reabilitação conjugadas, deixam ainda muita insatisfação. A nossa actividade tem-se desenvolvido seguindo os critérios adoptados nos melhores centros, isto é, as técnicas clássicas, complementadas com refinamentos recentes. Porém reflectindo sobre os resultados obtidos no tratamento de tumores do nariz, surge-nos um conjunto de questões para as quais ainda não encontrámos respostas cabais. Actuando de acordo com os princípios que definem o estado da arte, não obtivemos ainda resultados que satisfaçam tanto os doentes quanto os cirurgiões. Incessantemente procuramos novos dados técnicos e científicos que nos permitam sair deste ciclo vicioso em que o doente retarda a procura de assistência, receoso de que a terapêutica o deixe desfigurado. Tendo sempre em vista a obtenção dos melhores resultados com o mínimo de tempos cirúrgicos, valorizamos alguns detalhes praticados nos retalhos com padrão vascular bem definido. Dado que as sequelas na zona dadora de tecidos são uma incontornável preocupação, procuramos refinar a sua aplicação no sentido de as atenuarmos. A fronte, excelente zona dadora para reconstrucção nasal major, era sede de sequelas actualmente inaceitáveis. Estudado o comportamento dos tecidos na fronte, depois de levantado o retalho e efectuado o seu encerramento com uso da técnica de expansão intra-operatória, determinámos a presença do Factor de Crescimento Vascular Endotelial no próprio retalho e na zona dadora, tendo em vista que a sua presença poderá explicar o comportamento dos tecidos que foram submetidos a esta técnica. Procurou-se estudar a qualidade da reconstrução em 45 pacientes submetidos a cirurgia de exérese e reconstrução nasal major, assim como a qualidade de vida, relacionada com a doença e a terapêutica. Embora se possa admitir a existência de dados sugestivos de estratégias mais adequadas, não foi possível relacionar a qualidade da reconstrução com qualidade de vida dos pacientes. Poderá eventualmente concluir-se que a observação permanente da reconstrução, com qualidade estética e funcional, será o melhor método de alterar a ideia clássica, ainda muito divulgada, mas já ultrapassada, de que a cirurgia reconstrutiva do nariz não é mais que transformar um defeito horroroso num defeito ridículo.---------------ABSTRACT: Malignant tumours found in the nose are very frequent in all known series. Clinical diagnosis is simple and confirmation of biopsy diagnosis is accessible and safe. The most advisable therapies are surgery and radiotherapy. Despite everything patients continue to wait until the tumour is in an advanced stage before asking for therapy, although they know the diagnosis and have free access to specialised services. This situation could probably be explained by the slow development rate of the tumours which is associated with the age of the patient. Upon inquiry, it was found that a significant number of patients are more afraid of therapy than of the disease itself. Other parameters have been analysed in order to obtain useful information about the management of this problem. The majority of patients seek adequate treatment when the lesions involve two nasal subunits. This allows the programming of surgical therapy with relative ease as they may be removed and reconstructed with interesting final aesthetical results. Large tumours involving several subunits are frequent, but they rarely call for total rhinectomy. On the contrary, tumours more frequently involve half of the nose and their neighbouring structures: for example, maxillary, orbital and upper lip, even reaching as far as the base of the skull. The control of the disease is very difficult in these stages.In cases in which it is believed that the disease is under control, reconstructive surgery in conjunction with other forms of rehabilitation still result in a lot of dissatisfaction. In our activity we try to follow the criteria adopted by the best centres following classic techniques, complemented with recent refinements. Reflecting on the treatment of tumours of the nose has led us to a series of questions to which we haven’t yet found the answers. In accordance with the defined principles of ‘the state of the art’ it still doesn’t satisfy either the patients or the surgeons. We are looking for new technical and scientific data which allows us to leave this vicious cycle, in that the deferred patient avoids looking for assistance, based on the fear that therapy could leave them disfigured. We attach importance to some practiced details on the well-defined vascular pattern of the flaps, with the principle aim of obtaining a good result, from the minimum number of operations. It is known that sequels in donor sites are a concern, so applied refinements are used in order to reduce the defect. The forehead has been considered an excellent donor site for major nasal reconstruction but the area of sequel is nowadays unacceptable. We tried to study the behaviour of the tissues of the forehead after taking the flap and closing the wound, using the intraoperative expansion technique. We determined the presence of Vascular Endothelial Growth Factor in the flaps and in the donor site, in which its presence could explain the behaviour of the tissues of the forehead that are submitted to this technique. The quality of the reconstruction was studied in 45 patients who were submitted to surgical exeresisand major nasal reconstruction, as was the relationship between the disease and the therapy regarding quality of life. It was not possible to directely relate the quality of the reconstruction to the quality of patients life, although some suggestive data of more adequate manegement may be interesting. One might eventually conclude that, permanent exposure of the reconstruction with aesthetic and funcional quality would be the best method in order to modify the classic idea which is still known although overridden today, that nasal reconstruction could transform a horrible defect into a ridiculous one.-------RÉSUMÉ: Les carcinomes situés sur le nez sont très fréquents dans toutes les séries connues. Ils sont de diagnostic facile et la confirmation de ce dernier par une biopsie, est accessible et très fiable. La chirurgie et la radiothérapie sont les thérapeutiques les mieux indiquées. Toutefois les patients continuent de solliciter un traitement, seulement dans des états très avancés bien qu’ils aient eu connaissance du diagnostic et ayant accès aux services. Cette situation pourra probablement s’expliquer par l’évolution relativement indolente de beaucoup de tumeurs, associée à l’âge des malades; bien que selon quelques enquêtes réalisées un nombre élevé de malades craint davantage la thérapeutique que la maladie. D’autres paramètres sont analysés en vue d’obtenir des informations utiles pour l’accompagnement de ce problème. La majorité de nos patients sollicite le traitement adéquat quand les lésions entourent deux sous-unités nasales, ce qui permet de planifier le traitement chirurgique avec une certaine facilité, c’est à dire l’exérèse et la reconstruction ayant un résultat final esthétique généralement très acceptable. Les tumeurs de grandes dimensions entourant différentes sous-unités sont fréquentes mais elles impliquent rarement une amputation nasal total. Au contraire, les tumeurs les plus fréquentes sont celles qui entourent la moitié du nez et les structures voisines comme le maxillaire, l’orbite et la lèvre supérieure, parfois, elles peuvent même atteindre la base du crâne. Le contrôle de la maladie dans ces états est très difficile et quand nous pensons que la maladie est contrôlée, la chirurgie reconstructrice associée à d’autres formes de réhabilitation provoquent encore une grande insatisfaction. Nous exerçons notre activité en essayant de suivre les critères adoptés dans les meilleurs centres. Nous appliquons les techniques classiques complétées de retouches pour obtenir un meilleur resultat. Le fait de traiter les tumeurs nasales nous fait réfléchir et poser un ensemble de questions auxquelles nous n’avons pas pu trouver de réponses. En actuant en accord avec les principes qui définissent l’état de l’art, nous n’avons pas obtenu de résultats qui satisfassent les malades et les chirurgiens. Nous recherchons de nouvelles données techniques et scientifiques qui nous permettent de sortir de ce cercle vicieux dans lequel le patient retarde la recherche d’aide craignant que la thérapeutique le défigure. Nous valorisons certains détails pratiqués sur les lambeaux de patron vasculaire bien défini et ayant comme principaux objectifs l’obtention d’un bon résultat en moins de temps de chirurgie. Nous savons que les séquelles de la zone donneuse de tissus sont préoccupantes, ainsi, que les retouches qui ont été appliqués dans l’objectif de les atténuer. Le front, excellente zone donneuse pour la reconstruction nasale majeure, était une source de séquelle actuellement inacceptable. Nous avons étudié le comportement des tissus du front après avoir relevé le lambeau et effectué la fermeture avec la technique de l’expansion intraoperative. Nous avons déterminé la présence du Facteur de Croissance Vasculaire Endothéliale dans le propre lambeau et dans la zone donneuse, celle-ci pourra expliquer le comportement des tissus du front qui ont été soumis à cette technique. On a essayé d´etudier la qualité de la reconstruction sur 45 patients soumis à la chirurgie d´exérèse et la reconstruction nasal majeure, ainsi comme la qualité de vie en relation avec la maladie et la thérapie. Quoique l´on puisse conclure par l´existence des données subjectives des stratégies plus justes, il est impossible de faire un rapport sur la qualité de la reconstruction avec la qualité de vie des patients. Eventuellement l´on purrait conclure que l´observation permanente de la reconstruction avec qualité esthétique et fonctionnelle, se serait la meilleure méthod de changer l´idée classique, mais depassée, de que la rhinopoièse n´est pas que transformer un affreux défaut par un défaut ridicule.

Decay of antibody isotypes against early developmental stages of Schistosoma mansoni after treatment of schistosomiasis patients

Antibodies to a number of parasite antigens are found in schistosomiasis patients, and antibodies to early developmental stages were demonstrated to be efficient immunologic markers for the diagnosis of schistosomiasis. In the present study, decay patterns of IgM and IgG antibodies against cercariae and schistosomula were investigated, in comparison to antibodies against worms and eggs in schistosomiasis patients after chemotherapy, for an investigation of seroepidemiologic aspects. Data obtained in the study of 359 serum samples from patients with Schistosoma mansoni infection, noninfected individuals, and patients followed-up for a period of 12 to 15 months after treatment provided the basis to postulate a general pattern for the kinetics of antibody decay. Before treatment, the antibody pattern was represented by a unimodal curve, which shifted to a bimodal curve after treatment, and ended with a unimodal curve similar to that for the noninfected group. Different types of antibodies were classified into four categories according to their decay features, and anti-schistosomulum IgM was classified into the moderate-decay caterogy, whereas other antibodies to early parasite stages were classified into the slow-decay category. The present methodology permits the identification of the most suitable antibodies to be detected in field control programs for schistosomiasis or other parasitoses

Coccidioidomycosis in Brazil. A case report

Coccidioidomycosis is an endemic infection with a relatively limited geographic distribution: Mexico, Guatemala, Honduras, Colombia, Venezuela, Bolivia, Paraguai, Argentina and the southwest of the United States. In these countries, the endemic area is restricted to the semiarid desert like regions which are similar to the northeast of Brazil. Case report: The patient is a 32 year-old male, born in the state of Bahia (Northeast of Brazil) and has been living in São Paulo (Southeast) for 6 years. He was admitted at Hospital das Clínicas, at the Department of Pneumology in October 1996, with a 6 month history of progressive and productive cough, fever, malaise, chills, loss of weight, weakness and arthralgia in the small joints. Chest x-rays and computerized tomography disclosed an interstitial reticulonodular infiltrate with a cavity in the right upper lobe. The standard potassium hydroxide preparation of sputum and broncoalveolar lavage demonstrated the characteristic thickened wall spherules in various stages of development. Sabouraud dextrose agar, at 25° C and 30° C showed growth of white and cottony aerial micelium. The microscopic morphology disclosed branched hyphae characterized by thick walled, barrel shaped arthroconidia alternated with empty cells. The sorological studies with positive double immunodiffusion test, and also positive complement fixation test in 1/128 dilution confirmed the diagnosis. The patient has been treated with ketoconazole and presents a favorable clinical and radiological evolution

COLONIZATION AND LABORATORY MAINTENANCE OFAnopheles albimanus WIEDEMANN IN VENEZUELA

Anopheles albimanus is one of the main vectors of malaria in Central America and the Caribbean, based on its importance, there are previous reports of the successful colonization of this species in Latin America countries. Mosquitoes were collected in the Aragua State of Venezuela colonized in the laboratory, using a simple and efficient maintenance method. Based on life table calculations under well established laboratory conditions, the Survival Rate Probability was constant and always close to 1 in immature stages, the Reproductive Net Rate (Ro) was 3.83, the generation time (Tc) was 24.5 days and the Intrinsic Growth Rate (rm) was 0.0558. This is the first report of the colonization of A. albimanus in Venezuela.

Psychometric Properties of the Portuguese Version of the Posttraumatic Growth Inventory Short Form Among Divorced Adults

The aim of this study was to develop and validate a Portuguese version of the Short Form of the Posttraumatic Growth Inventory (PTGI-SF). Using an online convenience sample of Portuguese divorced adults (N = 482), we confirmed the oblique five-factor structure of the PTGI-SF by confirmatory factor analysis. The results demonstrated the measurement invariance across divorce initiator status groups. Total score and factors of PTGI-SF showed good internal consistency, with the exception of the New Possibilities factor, which revealed an acceptable reliability. The Portuguese PTGI-SF showed a satisfactory convergent validity. In terms of discriminant validity, posttraumatic growth assessed by the Portuguese PTGI-SF was a distinct factor from posttraumatic psychological adjustment. These preliminary findings suggest the cultural adaptation and also psychometric properties of the present Portuguese PTGI-SF to measure posttraumatic growth after personal crisis.

Glucose consume and growth of E. coli under electromagnetic field

E. coli was submitted to a 5G electromagnetic field generated by a alternate 60 Hz voltage source. The differences on growth and glucose consume in control and exposed groups were evaluated using the non-parametric Mann-Whitney U-test. There was a significant difference in glucose consume and growth in E. coli after 8 hours of exposition to electromagnetic field. It can be concluded that electromagnetic field had a positive effect in consume of glucose and growth of E. coli. The cause of these results can be explained by an increasing of glucose entrance through membrane due to the stimulated transport system via Facility Diffusion or cyclotron resonance. The growth can be caused by shortening of lag phase and excitement of log phase.

A novel antibody-like material for breast cancer antigen CA15-3, used to track breast cancer by potentiometric transduction

This work presents the development of a low cost sensor device for the diagnosis of breast cancer in point-of-care, made with new synthetic biomimetic materials inside plasticized poly(vinyl chloride), PVC, membranes, for subsequent potentiometric detection. This concept was applied to target a conventional biomarker in breast cancer: Breast Cancer Antigen (CA15-3). The new biomimetic material was obtained by molecularly-imprinted technology. In this, a plastic antibody was obtained by polymerizing around the biomarker that acted as an obstacle to the growth of the polymeric matrix. The imprinted polymer was specifically synthetized by electropolymerization on an FTO conductive glass, by using cyclic voltammetry, including 40 cycles within -0.2 and 1.0 V. The reaction used for the polymerization included monomer (pyrrol, 5.0×10-3 mol/L) and protein (CA15-3, 100U/mL), all prepared in phosphate buffer saline (PBS), with a pH of 7.2 and 1% of ethylene glycol. The biomarker was removed from the imprinted sites by proteolytic action of proteinase K. The biomimetic material was employed in the construction of potentiometric sensors and tested with regard to its affinity and selectivity for binding CA15-3, by checking the analytical performance of the obtained electrodes. For this purpose, the biomimetic material was dispersed in plasticized PVC membranes, including or not a lipophilic ionic additive, and applied on a solid conductive support of graphite. The analytical behaviour was evaluated in buffer and in synthetic serum, with regard to linear range, limit of detection, repeatability, and reproducibility. This antibody-like material was tested in synthetic serum, and good results were obtained. The best devices were able to detect 5 times less CA15-3 than that required in clinical use. Selectivity assays were also performed, showing that the various serum components did not interfere with this biomarker. Overall, the potentiometric-based methods showed several advantages compared to other methods reported in the literature. The analytical process was simple, providing fast responses for a reduced amount of analyte, with low cost and feasible miniaturization. It also allowed the detection of a wide range of concentrations, diminishing the required efforts in previous sample pre-treating stages.

A Multidimensional scaling perspective of Rostow's forecasts with the Track-record (1960s-2011) of "pioneers" and "latecomers"

Proceedings of the 12th Conference on Dynamical Systems -Theory and Applications

A competing values framework approach on growth and performance in micro firms

This study aims to analyze and compare four micro-firms' organizational culture, evaluated through the Competing Values Framework (Quinn & Rohbaugh, 1983). Data was collected in 2011 and 2013 in firms selling the same type of software and providing the same kind of services, focusing on the years between 2008-2011. Findings point to somewhat different results of micro-firms, when comparing to other samples in the literature. Suggestions for future research are given.

Reproduction of Leishmania (Leishmania ) infantum chagasi in conditioned cell culture growth medium

Leishmanias can be produced by inoculation in conditioned McCoy cell culture growth medium (CGM). Leishmania (Leishmania) infantum chagasi (100 parasites) grown in NNN medium was inoculated in 2.5 mL CGM, kept in plates (24 wells) and its multiplication was observed for five days (120 hours). After day 5, the medium was saturated with the flagellate forms of the parasite (promastigotes). The reproduction of the leishmanias was observed every 24 hours and the number of parasites was calculated by counting the parasites in a drop of 10 µ L and photomicrographied. So the number of Leishmanias was adjusted to 1 mL volume. The advantage of the technique by isolation of Leishmania in CGM demonstrated in this study is its low cost and high efficacy even with a small quantity of parasites (10² promastigotes) used as inoculum. Additionally, isolation of the leishmania can be obtained together with an increase in their density (180 times) as observed by growth kinetics, within a shorter time. These results justify the use of this low-cost technique for the isolation and investigation of the behavior and multiplication of Leishmania both in vertebrates and invertebrates, besides offering means of obtaining antigens, whether whole antigens (leishmanias) or the soluble antigens produced by the parasites which may be useful for the production of new diagnostic kits.

Kinetics of growth of Leishmania (Leishmania) chagasi cycle in McCoy cell culture

The kinetics of growth of Leishmania performed in vitro after internalization of the promastigote form in the cell and the occurrence of the transformation of the parasite into the amastigote form have been described by several authors. They used explants of macrophages in hamster spleen cell culture or in a human macrophage lineage cell, the U937. Using microscopy, the description of morphologic inter-relationship and the analysis of the production of specific molecules, it has been possible to define some of the peculiarities of the biology of the parasite. The present study shows the growth cycle of Leishmania chagasi during the observation of kinetic analysis undertaken with a McCoy cell lineage that lasted for a period of 144 hours. During the process, the morphologic transformation was revealed by indirect immunofluorescence (IF) and the molecules liberated in the extra cellular medium were observed by SDS-PAGE at 24-hour intervals during the whole 144-hour period. It was observed that in the first 72 hours the promastigote form of L. chagasi adhered to the cell membranes and assumed a rounded (amastigote-like) form. At 96 hours the infected cells showed morphologic alterations; at 120 hours the cells had liberated soluble fluorescent antigens into the extra cellular medium. At 144 hours, new elongated forms of the parasites, similar to promastigotes, were observed. In the SDS-PAGE, specific molecular weight proteins were observed at each point of the kinetic analysis showing that the McCoy cell imitates the macrophage and may be considered a useful model for the study of the infection of the Leishmania/cell binomial.