We investigate the scaling properties of the sources of crackling noise in a fully dynamic numerical model of sedimentary rocks subject to uniaxial compression. The model is initiated by filling a cylindrical container with randomly sized spherical particles that are then connected by breakable beams. Loading at a constant strain rate the cohesive elements fail, and the resulting stress transfer produces sudden bursts of correlated failures, directly analogous to the sources of acoustic emissions in real experiments. The source size, energy, and duration can all be quantified for an individual event, and the population can be analyzed for its scaling properties, including the distribution of waiting times between consecutive events. Despite the nonstationary loading, the results are all characterized by power-law distributions over a broad range of scales in agreement with experiments. As failure is approached, temporal correlation of events emerges accompanied by spatial clustering. DOI: 10.1103/PhysRevLett.112.065501 PACS numbers: 61.43.Gt, 46.50.+a, 89.75.Da, 91.60.Ba Understanding the processes that lead to catastrophic failure of porous granular media is an important problem in a wide variety of applications, notably in Earth science and engineering [1][2][3][4][5][6][7][8]. Such failure is often preceded by detectable changes in mechanical properties (stress and strain) and in geophysical signals (elastic wave velocity, electrical conductivity, and acoustic emissions) measured remotely at the sample boundary [9]. In particular, acoustic emissions result from sources of internal damage due to sudden local dislocations in the form of tensile or shear microcracks whose origin time, location, orientation, duration, and magnitude can all be inferred from the radiated wave train [10]. Typically, only a very small proportion of the microcracks revealed by destructive thin sectioning after the test result in detectable acoustic emissions [11]. As a consequence, experimental data provide only limited insight into the complexity of the microscopic processes at work prior to failure, notably the probability distributions of the relevant parameters, their scaling properties, and their population dynamics.Theoretical approaches to the dynamics and statistics of rupture cascades have typically been based on stochastic fracture models comprising lattices of springs [12], beams [13,14], fuses [15,16], or fibers [17][18][19]. However, such lattice models involve a strong simplification of the material microstructure and the inhomogeneous stress field. For example, macroscopic laws of damage for cohesive elements are often implemented at the mesoscopic scale on a regular two-dimensional grid, avoiding the truly threedimensional microstructure of real porous media, and often using power-law rheology as an input. Here, we adopt a discrete element modeling (DEM) approach that relaxes all of these restrictions and allows a realistic investigation of the emergent properties of the dynamics, including the temporal and spatial...

We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the microstructure of the material and the complex dynamics and feedbacks involved in local fracturing and the production of crackling noise. Under strain-controlled loading, microcracks initially nucleate in an uncorrelated way all over the sample. As loading proceeds the damage localizes into a narrow damage band inclined at 30°-45° to the load direction. Inside the damage band the material is crushed into a poorly sorted mixture of mainly fine powder hosting some larger fragments. The mass probability density distribution of particles in the damage zone is a power law of exponent 2.1, similar to a value of 1.87 inferred from observations of the length distribution of wear products (gouge) in natural and laboratory faults. Dynamic bursts of radiated energy, analogous to acoustic emissions observed in laboratory experiments on porous sedimentary rocks, are identified as correlated trails or cascades of local ruptures that emerge from the stress redistribution process. As the system approaches macroscopic failure consecutive bursts become progressively more correlated. Their size distribution is also a power law, with an equivalent Gutenberg-Richter b value of 1.22 averaged over the whole test, ranging from 3 to 0.5 at the time of failure, all similar to those observed in laboratory tests on granular sandstone samples. The formation of the damage band itself is marked by a decrease in the average distance between consecutive bursts and an emergent power-law correlation integral of event locations with a correlation dimension of 2.55, also similar to those observed in the laboratory (between 2.75 and 2.25).

The extent of tumor removal determines the effectiveness of postoperative oncotherapy. This is especially true for primary brain tumors, where peritumoral invasion usually makes radical resection impossible. The aim of the study was to determinate the specific expression pattern of invasion related molecules of different intracranial tumors and to identify molecules that are principally responsible for the peritumoral invasiveness of grade II astrocytoma mRNA expression of 26 extracellular matrix (ECM) molecules was determined in tissue samples from grade II astrocytoma, schwannoma, intracerebral metastases of non-small cell lung cancer and normal brain. Immunohistochemical staining for brevican, neurocan, tenascin-C and versican was also performed for each tumor group. Comparing astrocytoma to metastasis, schwannoma and normal brain; and metastasis and schwannoma to normal brain, 22, 17, 20, 21, and 19 molecules, respectively, were found to be significantly overexpressed at the mRNA level. Cluster analysis of mRNA expression showed a specific gene expression pattern for each histological group. Four molecules of 26 were found to be associated to astrocytoma. Immunohistochemical staining confirmed the results of the mRNA analysis at the protein level. Tumors of different origin have a specific invasive phenotype that can evidently determinate on gene expression level. This characteristic expression pattern of the invasion-related molecules might help to screen exact targets for anti-invasion drugs. In case of low-grade astrocytoma. brevican, neurocan, tenascin-C and versican were found to correlate principally with the invasive phenotype of low-grade astrocytoma, thus these molecules can potentially serve as targets for anti-invasion therapy in the future.

BackgroundPost-operative pulmonary infection often appears to result from aspiration of pathogens colonizing the oral cavity. It was hypothesized that impaired periodontal status and pathogenic oral bacteria significantly contribute to development of aspiration pneumonia following neurosurgical operations. Further, the prophylactic effects of a single dose preoperative cefazolin on the oral bacteria were investigated.MethodsA matched cohort of 18 patients without postoperative lung complications was compared to 5 patients who developed pneumonia within 48 hours after brain surgery. Patients waiting for elective operation of a single brain tumor underwent dental examination and saliva collection before surgery. Bacteria from saliva cultures were isolated and periodontal disease was scored according to type and severity. Patients received 15 mg/kg cefazolin intravenously at the beginning of surgery. Serum, saliva and bronchial secretion were collected promptly after the operation. The minimal inhibitory concentrations of cefazolin regarding the isolated bacteria were determined. The actual antibiotic concentrations in serum, saliva and bronchial secretion were measured by capillary electrophoresis upon completion of surgery. Bacteria were isolated again from the sputum of postoperative pneumonia patients.ResultsThe number and severity of coexisting periodontal diseases were significantly greater in patients with postoperative pneumonia in comparison to the control group (p = 0.031 and p = 0.002, respectively). The relative risk of developing postoperative pneumonia in high periodontal score patients was 3.5 greater than in patients who had low periodontal score (p < 0.0001). Cefazolin concentration in saliva and bronchial secretion remained below detectable levels in every patient.ConclusionPresence of multiple periodontal diseases and pathogenic bacteria in the saliva are important predisposing factors of postoperative aspiration pneumonia in patients after brain surgery. The low penetration rate of cefazolin into the saliva indicates that its prophylactic administration may not be sufficient to prevent postoperative aspiration pneumonia. Our study suggests that dental examination may be warranted in order to identify patients at high risk of developing postoperative respiratory infections.

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