THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE SPHERE

In this paper, we determine the lower central and derived series for the braid groups of the sphere. We are motivated in part by the study of Fadell-Neuwirth short exact sequences, but the problem is important in its own right. The braid groups of the 2-sphere S(2) were studied by Fadell, Van Buskirk and Gillette during the 1960s, and are of particular interest due to the fact that they have torsion elements (which were characterised by Murasugi). We first prove that for all n epsilon N, the lower central series of the n-string braid group B(n)(S(2)) is constant from the commutator subgroup onwards. We obtain a presentation of Gamma(2)(Bn(S(2))), from which we observe that Gamma(2)(B(4)(S(2))) is a semi-direct product of the quaternion group Q(8) of order 8 by a free group F(2) of rank 2. As for the derived series of Bn(S(2)), we show that for all n >= 5, it is constant from the derived subgroup onwards. The group Bn(S(2)) being finite and soluble for n <= 3, the critical case is n = 4 for which the derived subgroup is the above semi-direct product Q(8) (sic) F(2). By proving a general result concerning the structure of the derived subgroup of a semi-direct product, we are able to determine completely the derived series of B(4)(S(2)) which from (B(4)(S(2)))(4) onwards coincides with that of the free group of rank 2, as well as its successive derived series quotients.

Synthesis, antichagasic in vitro evaluation, cytotoxicity assays, molecular modeling and SAR/QSAR studies of a 2-phenyl-3-(1-phenyl-1H-pyrazol-4-yl)-acrylic acid benzylidene-carbohydrazide series

Chagas disease (American trypanosomiasis) is one of the most important parasitic diseases with serious social and economic impacts mainly on Latin America. This work reports the synthesis, in vitro trypanocidal evaluation, cytotoxicity assays, and molecular modeling and SAR/QSAR studies of a new series of N-phenylpyrazole benzylidene-carbohydrazides. The results pointed 6k (X = H, Y = p-NO(2), pIC(50) = 4.55 M) and 6l (X = F, Y = p-CN, pIC(50) = 4.27 M) as the most potent derivatives compared to crystal violet (pIC(50) = 3.77 M). The halogen-benzylidene-carbohydrazide presented the lowest potency whereas 6l showed the most promising pro. le with low toxicity (0% of cell death). The best equation from the 4D-QSAR analysis (Model 1) was able to explain 85% of the activity variability. The QSAR graphical representation revealed that bulky X-substituents decreased the potency whereas hydrophobic and hydrogen bond acceptor Y-substituents increased it. (C) 2008 Elsevier Ltd. All rights reserved.

Incidence and risk factors for agranulocytosis in Latin American countries - the Latin study

Purpose LATIN is a multinational case-control study designed to identify risk factors for agranulocytosis and to estimate the incidence rate of the disease in some Latin American countries. Methods Each study site in Brazil, Argentina and Mexico conducted an active search of agranulocytosis patients in hematology clinics and looked for possible associations with drug use. Results The overall incidence rate was 0.38 cases per 1 million inhabitant-years. Agranulocytosis patients more often took medications already associated with agranulocytosis than controls (p=0.01), mainly methimazole (OR 44.2, 95% CI 6.8 to infinity). The population attributable risk percentage (etiologic fraction) was 56%. The use of nutrient supplements was more frequent among patients than controls (p=0.03). Conclusions Agranulocytosis seems to be very rare in Latin America. The lower than expected number of cases identified during the study period precluded estimation of the risk associated to individual drugs, with the exception of methimazol. However, this is the longest series of agranulocytosis cases ever gathered in Latin America, and information on drug exposures was collected prospectively. The conclusion is that drug-induced agranulocytosis does not seem to be a major public health problem in the study regions.

Obstetric Outcome in Pregnant Women on Long-term Dialysis: A Case Series

Background: Although still uncommon, pregnancy frequency in women on maintenance hemodialysis therapy has increased in the past 20 years. Most published reports suggest that intensified hemodialysis regimens result in better pregnancy outcomes. The small number of patients investigated in all reported series is the main limitation of the available studies. Study Design: Retrospective case series. Setting & Participants: Data for all pregnancies that occurred in 1988-2008 in women undergoing maintenance hemodialysis (52 pregnancies) at the Sao Paulo University Medical School (Sao Paulo, Brazil). Outcomes & Measurements: We analyzed maternal and fetal outcomes of 52 pregnancies, as well as their relationship with various clinical, laboratory, and hemodialysis parameters, such as pre-eclampsia, pregnancy before or after dialysis therapy, hemodialysis dose, polyhydramnios, anemia, and predialysis serum urea level. In addition, logistic regression models for a composite adverse fetal outcome (perinatal death or extremely premature delivery) and linear regression models for birth weight were built. Results: 87% overall rate of successful delivery, with a mean gestational age of 32.7 +/- 3.1 weeks. Pre-eclampsia was associated with a poor prognosis compared with pregnancies without pre-eclampsia: a successful delivery rate of 60% versus 92.9% (P = 0.02), extremely premature delivery rate of 77.8% versus 3.3% (P = 0.001), lower gestational age (P = 0.001), and birth weight (P = 0.001). Patients with an adverse composite fetal outcome had a higher frequency of pre-eclampsia (P = 0.001), lower frequency of polyhydramnios (P = 0.03), lower third-trimester hematocrit (P = 0.03), and higher predialysis serum urea level (P = 0.03). The same results were seen for birth weight. Limitations: Retrospective data analysis. The absence of creatinine clearance measurements did not allow evaluation of the impact of residual renal function on fetal outcome. Conclusions: Outcomes of pregnancy in women undergoing hemodialysis often are good. Preeclampsia, third-trimester hematocrit, polyhydramnios, and predialysis serum urea level are important variables associated with fetal outcome and birth weight. Am J Kidney Dis 56:77-85. (C) 2010 by the National Kidney Foundation, Inc.Inc

Primary Oral Mucosal Melanoma: A Series of 35 New Cases From South America

Oral mucosal melanoma is rare and reported to be more aggressive than its cutaneous counterpart. Due to the rarity of this entity, data on epidemiology, tumor behavior, treatment, follow-up, and Survival of patients are mainly based oil single case reports. The few existing series of patients show that oral mucosa melanoma has its peak between 4 1 and 60 years of age, and male to female ratio is 2: 1. Preferred oral sites include hard palate and maxillary alveolar crests. Risk factors have not been clearly identified, and surgical treatment is still the treatment of choice for oral mucosal melanomas. The authors retrospectively studied 35 patients with primary melanoma of the oral cavity to report their clinical and pathological features, Such as age, sex, site of the tumor, metastasis, treatment, response to therapy, and Outcome. We found no significant sex predominance, and the mean age of the patients was 60.6 years, with a range From 9 to 91 years. The majority of the patients (71.42%) had palate commitment, and invasive histopathological aspect was observed in 80% of the specimens (grade 3). Long-distance metastasis was found in 60% of the cases. Fourteen patients were submitted to wide Surgical resections, with local relapse being observed in 11 of them (78.5%). The authors Suggest that improved outcome in oral malignant melanoma requires the development of new therapies and the prevention of distant metastasis.

Paracoccidioidomycosis Epidemiological Features of a 1,000-Cases Series from a Hyperendemic Area on the Southeast of Brazil

Paracoccidioidomycosis has been known for over 100 years, and until now, there were only few estimates of the disease`s incidence. We aim to analyze 1,000 cases treated between 1960 and 1999 at Ribeirao Preto city, Sao Paulo, Brazil, where the disease`s incidence range detected was 1.6 to 3.7 cases per 100,000 habitants per year (mean = 2.7 cases/year). We observed a male to female ratio of 6:1 and an age distribution from 3 to 85 years. The acute/subacute form of the disease accounted for 25.4% of cases. Most of the patients (93.5%) had lived or worked in rural areas before the disease development. Smoking and alcoholism were reported by 64.7% and 37.2% of patients, respectively. Comorbidities identified included tuberculosis (8.3%), Chagas` disease (8.6%), and human immunodeficiency virus/acquired immunodeficiency syndrome (4.2%). The present study revealed an area in Brazil where paracoccidioidomycosis is hyperendemic (has the highest reported incidence of this disease); this endemic area is probably caused by geological and climatic conditions as well as intensive agriculture.

Treatment of Brain Arteriovenous Malformations by Double Arterial Catheterization with Simultaneous Injection of Onyx: Retrospective Series of 17 Patients

BACKGROUND AND PURPOSE: The use of Onyx in the treatment of intracranial AVMs has increased the cure rate of endovascular embolization compared with the use of liquid adhesive agents. Inadvertent occlusion of the draining veins before the complete exclusion of the nidus constitutes a major risk of bleeding. We report a case series using the technique of double simultaneous arterial catheterization as an approach to achieve the complete, exclusion of the nidus before reaching the venous drainage, through a more controlled hemodynamic filling. MATERIALS AND METHODS: Between April 2008 and November 2009, 17 patients with brain AVMs were treated by the DACT. The mean age of the patients was 32.7 years (range, 6-54 years), with 9 females and 8 males. The clinical onset was characterized by intracranial hemorrhage in 8 patients and by seizures in 7. The size of the AVMs ranged from 13 to 54 mm (average, 26.2 mm). The DACT was always used with the objective of curing the AVM. RESULTS: All 17 patients completed the EVT. The average number of sessions conducted was 1.4 (range, 1-3 sessions), with the average injection amount of 6.9 mL of Onyx (range, 2-25.2 mL). Sixteen AVMs (94.1%) were angiographically cured by embolization. Clinical complications occurred in 2 patients (11.7%); 1 of these was permanent (5.9%). No deaths were registered. CONCLUSIONS: This preliminary series shows that the DACT presents satisfactory results when used with curative intent.