TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS

A complete characterization of the stability boundary of a class of nonlinear dynamical systems that admit energy functions is developed in this paper. This characterization generalizes the existing results by allowing the type-zero saddle-node nonhyperbolic equilibrium points on the stability boundary. Conceptual algorithms to obtain optimal estimates of the stability region (basin of attraction) in the form of level sets of a given family of energy functions are derived. The behavior of the stability region and the corresponding estimates are investigated for parameter variation in the neighborhood of a type-zero saddle-node bifurcation value.

Comparative analysis between ventricular and sinoatrial node vascularization in cats

Biasi C., Borelli V., Benedicto H.G., Pereira M.R., Favaron P.O. & Bombonato P.P. 2012. [Comparative analysis between ventricular and sinoatrial node vascularization in cats.] Analise comparativa entre a vascularizacao ventricular e do no sinoatrial em gatos. Pesquisa Veterinaria Brasileira 31(1): 78-82. Setor de Anatomia dos Animais Domesticos e Silvestres, Faculdade de Medicina Veterinaria e Zootecnia, Universidade de Sao Paulo, Av. Prof. Dr. Orlando Marques de Paiva 87, Cidade Universitaria, Sao Paulo, SP 05508-000, Brazil. E-mail: caiobiasi@usp.br The possible existence of interdependence in the blood nutrition of both atrial and ventricular territories has been a subject of concern to cardiologists, mainly related to vascularization of the sinoatrial node and its dependence on just one coronary artery or both, and its relation with the predominance of these vessels in the ventricular vascularization. Therefore, this research aimed evaluated the relation of blood irrigation of the sinoatrial node in relation to the coronary artery predominance in the ventricle vascularization. In doing so, we analyzed 30 hearts of cats without pedigree, males and females, adults of several ages. They were not carrying any heart problems. The hearts were injected by the thoracic aorta with Neoprene Latex 450, stained with red pigment, and then they were dissected. It was found that when there was a prevalence of ventricular vascularization of the left type (63.34%) the sinoatrial node irrigation was predominantly in the dependency of the Ramus proximalis atrii dextri (78.9%) or with less frequency by Ramus proximalis atrii sinister (21.1%). In the ventricular vascularization of the balanced type (33.34%), the pacemaker irrigation was in dependence more often of Ramus proximalis atrii dextri (80%) or with less frequency the nutrition of the sinoatrial node occurred by Ramus proximalis atril sinister (20%). In a single-case, we observed the ventricular vascularization of the right type (3.34%), the pacemaker nutrition was in an exclusive dependence of the Ramus intermedius atril dextri. These results suggest in this species there is no relationship between both the sinoatrial node irrigation and the type of ventricular vascularization, regardless of gender.

Analysis of the concordance rates between core needle biopsy and surgical excision in patients with breast cancer

Objective: To evaluate whether immunohistochemical marker studies performed on core needle biopsy (CNB) specimens accurately reflect the marker status of the tumor obtained from final surgical specimen. Methods: This was a retrospective study that used the database of the Division of Mastology of the Hospital das Clinicas, Sao Paulo, Brazil. Sixty-nine patients submitted to ultrasound-guided CNB diagnosed with breast cancer were retrospectively analyzed. Immunohistochemistry (IHC) on core biopsy specimens was compared to that of excisional biopsy regarding estrogen receptor (ER), progesterone receptor (PR), human epidermal gowth factor receptor 2 gene (HER2), p53, and Ki67. The analysis of the concordance between CNB and surgical biopsy was performed using the kappa (k) coefficient (95% CI). Results: A perfect concordance between the labeling in the surgical specimens and the preoperative biopsies in p53 (k = 1.0; 95% CI: 0.76-1.0) was identified. There was an almost perfect concordance for ER (k = 0.89; 95% CI: 0.65-1.0) and a substantial concordance for PR (k = 0.70; 95% CI: 0.46-0.93). HER2 (k = 0.61; 95% CI: 0.38-0.84) and Ki-67 (k = 0.74; 95% CI: 0.58-0.98) obtained a substantial concordance this analysis. Conclusion: The results of this study indicate that the immunohistochemical analysis of ER, PR, Ki-67, and p53 from core biopsy specimens provided results that accurately reflect the marker status of the tumor. The concordance rate of HER2 was less consistent; although it produced substantial concordance, values were very close to moderate concordance.

Melanoma Staging Where Are We Now?

The seventh version of the American Joint Committee on Cancer (AJCC) Melanoma Staging guidelines, published in 2009, has significant revisions compared with the previous version. The current schema was based on the largest melanoma patient cohort analyzed to date and is the result of a multivariate analysis of 30,946 patients with stages I, II, and III melanoma and 7972 patients with stage IV melanoma. This article summarizes the findings and the new definitions included in the 2009 AJCC Melanoma Staging and Classification. The TNM categories and the stage groupings are defined. Changes in the melanoma staging system are summarized.

Punção aspirativa guiada por ultrassom endobrônquico no diagnóstico e estadiamento de linfadenopatia mediastinal: experiência inicial no Brasil

OBJETIVO: Endobronchial ultrasound-guided transbronchial needle aspiration (EBUS-TBNA, punção aspirativa por agulha guiada por ultrassom endobrônquico) é um método novo em diagnóstico e estadiamento linfonodal mediastinal. O objetivo do estudo foi avaliar os resultados preliminares obtidos com EBUS-TBNA no diagnóstico de lesões e no estadiamento linfonodal mediastinal. MÉTODOS: Foram avaliados pacientes com tumores ou adenopatias mediastinais e com diagnóstico ou suspeita de câncer de pulmão. Os procedimentos foram realizados com os pacientes sob sedação ou anestesia geral. O material coletado foi preparado em lâminas fixadas em álcool absoluto para citologia e em formol para bloco de células. RESULTADOS: Foram incluídos 50 pacientes (30 do sexo masculino), com média de idade de 58,3 ± 13,5 anos. Foram realizadas 201 punções em 81 linfonodos ou massas mediastinais (média de 2,5 punções). O material obtido foi considerado adequado para análise citológica em 37 pacientes (74%), dos quais 21 (57%) foram diagnosticados com malignidade. Nos 16 pacientes remanescentes, 1 teve diagnóstico de tuberculose, 6 tiveram seguimento clínico, e 9 foram submetidos a investigação adicional (2 diagnosticados com neoplasia - resultados falso-negativos). O rendimento do exame foi maior nos procedimentos com objetivo diagnóstico, em pacientes com lesões em múltiplas estações, e nas punções da estação linfonodal subcarinal. Um paciente apresentou sangramento endobrônquico resolvido com medidas locais. Não houve mortalidade na série. CONCLUSÕES: Esta experiência preliminar confirmou que o EBUS-TBNA é procedimento seguro, e que o nosso rendimento diagnóstico, inferior ao da literatura, foi compatível com a curva de aprendizado do método.

CD44(+)/CD24(-) cells and lymph node metastasis in stage I and II invasive ductal carcinoma of the breast

The presence of tumor-initiating cells (CD44(+)/CD24(-)) in solid tumors has been reported as a possible cause of cancer metastasis and treatment failure. Nevertheless, little is know about the presence of CD44(+)/CD24(-) cells within the primary tumor and metastasis. The proportion of CD44(+)/CD24(-) cells was analyzed in 40 samples and in 10 lymph node metastases using flow cytometry phenotyping. Anti-human CD326 (EpCam; FITC), antihuman CD227 (MUC-1; FITC), anti-human CD44 (APC), and anti-human CD24 (PE), anti-ABCG2 (PE), and anti-CXCR4 (PeCy7) were used for phenotype analysis. The mean patient age was 60.5 years (range, 33-87 years); mean primary tumor size (pT) was 1.8 cm (0.5-3.5 cm). The Wilcoxon or Kruskal-Wallis test was used for univariate analyses. Logistic regression was used for multivariate analysis. The median percentage of CD44(+)/CD24(-) cells within primary invasive ductal carcinomas (IDC) was 2.7% (range, 0.2-71.2). In lymph node metastases, we observed a mean of 6.1% (range, 0.07-53.7). The percentage of CD44(+)/CD24(-) cells in IDCs was not associated with age, pT, tumor grade and HER2. We observed a significantly enrichment of CD44(+)/CD24(-) and ABCG2(+) cells in ESA(+) cell population in patients with positive lymph nodes (P = 0.02 and P = 0.04, respectively). Our data suggest that metastatic dissemination is associated with an increase in tumorinitiating cells in stage I and II breast cancer.

Predicting the connectivity of primate cortical networks from topological and spatial node properties

Abstract Background The organization of the connectivity between mammalian cortical areas has become a major subject of study, because of its important role in scaffolding the macroscopic aspects of animal behavior and intelligence. In this study we present a computational reconstruction approach to the problem of network organization, by considering the topological and spatial features of each area in the primate cerebral cortex as subsidy for the reconstruction of the global cortical network connectivity. Starting with all areas being disconnected, pairs of areas with similar sets of features are linked together, in an attempt to recover the original network structure. Results Inferring primate cortical connectivity from the properties of the nodes, remarkably good reconstructions of the global network organization could be obtained, with the topological features allowing slightly superior accuracy to the spatial ones. Analogous reconstruction attempts for the C. elegans neuronal network resulted in substantially poorer recovery, indicating that cortical area interconnections are relatively stronger related to the considered topological and spatial properties than neuronal projections in the nematode. Conclusion The close relationship between area-based features and global connectivity may hint on developmental rules and constraints for cortical networks. Particularly, differences between the predictions from topological and spatial properties, together with the poorer recovery resulting from spatial properties, indicate that the organization of cortical networks is not entirely determined by spatial constraints.

Stability boundary characterization of nonlinear autonomous dynamical systems in the presence of saddle-node equilibrium points

A dynamical characterization of the stability boundary for a fairly large class of nonlinear autonomous dynamical systems is developed in this paper. This characterization generalizes the existing results by allowing the existence of saddle-node equilibrium points on the stability boundary. The stability boundary of an asymptotically stable equilibrium point is shown to consist of the stable manifolds of the hyperbolic equilibrium points on the stability boundary and the stable, stable center and center manifolds of the saddle-node equilibrium points on the stability boundary.

Carcinoma de células escamosas em glândula mamária de gata doméstica

Background: In the feline species, 80% to 93% of neoplasias in the mammary gland are malignant, being the majority carcinomas. Among them, there is the mammary squamous cell carcinoma, which amounts to a very rare neoplasm in the domestic cat, with considerable potential for malignancy. This study aimed to report a case of squamous cell mammary carcinoma in the feline species. Case: A female cat, mixed breed, ten years old, presented history of skin lesion. The cat had been spayed two years before, but with previous administration of contraceptives. At the physical examination, it was observed ulcer between the caudal abdominal mammary glands. The occurrence of skin or mammary neoplasia was conceived. The following complementary tests were requested: complete blood count, serum biochemical profi le (renal and hepatic), chest radiographs, abdominal ultrasound, and incisional biopsy of the ulcerated region periphery, followed by classic histopathology. The lesion histopathology was compatible with squamous cell carcinoma of the mammary gland. Due to such a diagnosis, bilateral mastectomy was recommended. The material obtained during the surgical procedure was sent for anatomopathological analysis. Microscopically, surgical margins infi ltration and a regional lymph node were verifi ed. The owner was advised of the need for complementary therapies and medical monitoring of the cat. However, there was no return. It is noteworthy that the animal’s physical and laboratory examinations showed no neoplasia in other regions, being the squamous cell carcinoma of the mammary gland considered primary. Discussion: The malignant mammary neoplasia genesis in feline species, in general, seems to be related to steroid hormones. The ovariectomized females are less likely to develop the disease when compared to intact cats, but there is no protective effect of surgery on those spayed after two years of age regarding the appearance of the neoplasia. Thus, at the time the reported patient was ovariectomized, this effect no longer occurred. The synthetic progestins regularly used to prevent estrus increase by three times the risk of breast carcinomas onset. In humans, there is no clear defi nition of the etiology and pathogenesis of mammary squamous cell carcinoma. However, it has been suggested its association with extreme forms of squamous metaplasia present in pre-existing mammary adenocarcinoma, besides cysts, chronic infl ammations, abscesses and mammary gland adenofi bromas. In a hypothetical way, this etiology could also be related to the feline mammary carcinoma, although, for the case at issue, the exogenous and endogenous hormonal infl uence should not be excluded. It has been reported that mammary squamous cell carcinomas in cats are classifi ed in grades II and III (ie, moderately and poorly differentiated, respectively). Thus, they are considered tumors with more unfavorable prognosis. However, the monitoring of the clinical course, in order to evaluate possible recurrence of the neoplasia and metastases to distant sites, was not possible as the animal under discussion did not return. The squamous cell carcinoma is the most common skin tumor in feline species, despite the primary location in the mammary gland. It is, therefore, important to differentiate squamous cell carcinoma originated in the breast from histological types derived from skin. The description of this special and rare feline mammary carcinoma is important due to its particular characteristics and potential for malignancy.