A characterization of quadric constant mean curvature hypersurfaces of spheres

Let $\phi:M\to\mathbb{S}^{n+1}\subset\mathbb{R}^{n+2}$ be an immersion of a complete $n$-dimensional oriented manifold. For any $v\in\mathbb{R}^{n+2}$, let us denote by $\ell_v:M\to\mathbb{R}$ the function given by $\ell_v(x)=\phi(x),v$ and by $f_v:M\to\mathbb{R}$, the function given by $f_v(x)=\nu(x),v$, where $\nu:M\to\mathbb{S}^{n}$ is a Gauss map. We will prove that if $M$ has constant mean curvature, and, for some $v\ne{\bf 0}$ and some real number $\lambda$, we have that $\ell_v=\lambda f_v$, then, $\phi(M)$ is either a totally umbilical sphere or a Clifford hypersurface. As an application, we will use this result to prove that the weak stability index of any compact constant mean curvature hypersurface $M^n$ in $\mathbb{S}^{n+1}$ which is neither totally umbilical nor a Clifford hypersurface and has constant scalar curvature is greater than or equal to $2n+4$.Comment: Final version (February 2008). To appear in the Journal of Geometric Analysi

Quality of life perception of type 1 diabetic patients treated with insulin analogs and receiving medication review with follow-up in a public health care service from Ponta Grossa-PR, Brazil

ABSTRACT Glycemic control in patients with diabetes mellitus type 1 (DM1) reduces the risk of complications but requires a rigorous health care routine. Thus, diabetes education is central to increasing treatment compliance and self-care practices. This study aimed to evaluate the quality of life (QoL) and glycemic control of DM1 patients being treated with insulin analogs and receiving medication review with follow-up. This was a transversal study that included 110 patients registered at the 3rd Health Regional of Ponta Grossa-PR, aged ≥ 18 years, and receiving pharmaceutical care for at least 1 year. The Diabetes Quality of Life Measure (DQOL)-Brazil was used to evaluate QoL. The data were statistically analyzed using SPSS version 17.0 with 95% confidence levels. Of the 110 patients, 58.2% were women. The average age was 33.7 years (±10.5), and the average glycated hemoglobin (HbA1c) value was 8% (±1.4). The mean total DQOL-Brazil score was 2.11 (95% confidence interval, 2.02 - 2.21). All DQOL-Brazil scores were lower in patients with HbA1c ≤ 8%, indicating a better QoL. Good glycemic control, thus, appears to have a positive influence on the QoL, and pharmaceutical interventions are able to contribute to the achievement of therapeutic targets

DL5o da bactéria Aeromonas hydrophila para o matrinxã, Brycon amazonicus

In order to determine the lethal dose (96-h LD50) of the bacteria Aeromonas hydrophila to matrinxã, Brycon amazonicus, to be applied in challenge tests, 90 fish (63.23 ± 6.39 g) were divided into five treatments, with different bacterial solutionsT1 - Control (0.9% NaCl saline solution); T2 (4 x 10(11) cells/ mL); T3 (5 x 10(11) cells/ mL); T4 (1.36 x 10(12) cells/ mL) and T5 (3.06 x 10(12) cells/ mL). Fish were previously anesthetized with benzocaine (60 mg L-1), inoculated in the peritoneal cavity with the bacterial suspensions and then distributed into fifteen 80-L test chambers, where the water variables were monitored and fish mortality was observed. The experiment was randomly designed in three replicates and the 96-h LD50 was estimated according to the trimmed Spearman-Karber method. Water quality variables remained within adequate ranges for fish health and performance. Fish mortality rate increased with the bacterial concentrations of A. hydrophila (T1 = 0%; T2 = 16.66%; T3 = 44.44%; T4 = 72.22% and T5 = 100%), and the first mortalities were observed after 57 h, although the signs of the bacterial infection were already observed 24 h after the inoculation. The results indicate that the 96-h LD50 value of A. hydrophila to matrinxã is 6.66 x 10(11) cells/ mL.Para determinar a dose letal (DL50 96-h) da bactéria Aeromonas hydrophila para o matrinxã, Brycon amazonicus, com aplicabilidade para testes de desafio, foram utilizados 90 peixes (63,23 ± 6,39 g), divididos em cinco tratamentos, com diferentes soluções bacterianas: T1 - Controle (solução salina 0,9% NaCl); T2 (4 x 10(11) células/ mL); T3 (5 x 10(11) células/ mL-1); T4 (1,36 x 10(12) células/mL-1) e T5 (3,06 x 10(12) células/ mL-1). Os peixes foram previamente anestesiados com benzocaína (60 mg L-1), inoculados na cavidade peritoneal com as suspensões bacterianas e distribuídos em 15 aquários de vidro de 80 L de capacidade, com aeração constante. O experimento teve duração de 96 h, no qual foram monitoradas a mortalidade e a qualidade da água. O delineamento experimental foi inteiramente casualisado com três réplicas e a DL50 96-h foi estimada de acordo com o método Spearman-Karber. Durante o experimento os parâmetros físico-químicos da água permaneceram dentro das condições consideradas adequadas para o desenvolvimento e saúde dos organismos aquáticos. A mortalidade dos peixes aumentou nas concentrações crescentes de A. hydrophila (T1 = 0%; T2 = 16,66%; T3 = 44,44%; T4 = 72,22% e T5 = 100%), contudo, as primeiras mortalidades ocorreram em 57 h após a inoculação das concentrações bacterianas, sendo observados os primeiros sinais de infecção em 24 h após a inoculação. Os resultados indicam que o valor da DL50 96-h da bactéria A. hydrophila para o matrinxã foi igual a 6,66 x 10(11) células/mL de solução salina