Beyond Blobs in Percolation Cluster Structure: The Distribution of 3-Blocks at the Percolation Threshold

The incipient infinite cluster appearing at the bond percolation threshold can be decomposed into singly-connected ``links'' and multiply-connected ``blobs.'' Here we decompose blobs into objects known in graph theory as 3-blocks. A 3-block is a graph that cannot be separated into disconnected subgraphs by cutting the graph at 2 or fewer vertices. Clusters, blobs, and 3-blocks are special cases of $k$-blocks with $k=1$, 2, and 3, respectively. We study bond percolation clusters at the percolation threshold on 2-dimensional square lattices and 3-dimensional cubic lattices and, using Monte-Carlo simulations, determine the distribution of the sizes of the 3-blocks into which the blobs are decomposed. We find that the 3-blocks have fractal dimension $d_3=1.2\pm 0.1$ in 2D and $1.15\pm 0.1$ in 3D. These fractal dimensions are significantly smaller than the fractal dimensions of the blobs, making possible more efficient calculation of percolation properties. Additionally, the closeness of the estimated values for $d_3$ in 2D and 3D is consistent with the possibility that $d_3$ is dimension independent. Generalizing the concept of the backbone, we introduce the concept of a ``$k$-bone'', which is the set of all points in a percolation system connected to $k$ disjoint terminal points (or sets of disjoint terminal points) by $k$ disjoint paths. We argue that the fractal dimension of a $k$-bone is equal to the fractal dimension of $k$-blocks, allowing us to discuss the relation between the fractal dimension of $k$-blocks and recent work on path crossing probabilities.Comment: All but first 2 figs. are low resolution and are best viewed when printe

Impact of Diabetes on Postinfarction Heart Failure and Left Ventricular Remodeling

Diabetes mellitus, the metabolic syndrome, and the underlying insulin resistance are increasingly associated with diastolic dysfunction and reduced stress tolerance. The poor prognosis associated with heart failure in patients with diabetes after myocardial infarction is likely attributable to many factors, important among which is the metabolic impact from insulin resistance and hyperglycemia on the regulation of microvascular perfusion and energy generation in the cardiac myocyte. This review summarizes epidemiologic, pathophysiologic, diagnostic, and therapeutic data related to diabetes and heart failure in acute myocardial infarction and discusses novel perceptions and strategies that hold promise for the future and deserve further investigation

Tratamiento de Linfedema Braquial post resección de ganglios axilares por enfermedades malignas

Antecedentes: En las últimas décadas se han obtenido importantes avances en la fisiopatología y tratamiento del infedema secundario a la extirpación de los ganglios axilares en el tratamiento quirúrgico de enfermedades malignas. 0bjetivo: Analizar la fisiopatología y tratamiento actualizado del linfedema braquial secundario a esa cirugía. Lugar de Trabajo: Hospital Privado Centro Médico de Córdoba. Diseño: Estudio observacional retrospectivo. Material y Método: Presentamos un detalle del protocolo de rehabilitación dirigido a mejorar el drenaje linfático en base a los conocimientos actuales. El protocolo consta de 4 puntos básicos: 1) Evaluación kinésica inicial; 2) Drenaje linfático manual; 3) Tratamientos kinésicos complementarios; 4) Programa de ejercicios. Resultados: La observación clínica de la población estudiada revela significativa mejoría, superior a los obtenidos en el pasado, cuando se cumplen bien todos los pasos de protocolo. Conclusión: El linfedema braquial consecutivo al vaciamiento ganglionar axilar merece una atención especial por un equipo Kinésico que combine los distintos pasos del protocolo, con lo que se obtienen evidentes mejores resultados.Fil: Frutos, María Laura. Universidad Católica de Córdoba. Facultad de Ciencias de la Salud; ArgentinaFil: Hohberg, María Victoria. Hospital Privado Universitario de Córdoba; ArgentinaFil: Fontana, Karina del M. Hospital Privado Universitario de Córdoba; Argentin