A boundary element method for the calculation of noise barrier insertion loss in the presence of atmospheric turbulence

Atmospheric turbulence is an important factor that limits the amount of attenuation a barrier can provide in the outdoor environment. It is therefore important to develop a reliable method to predict its effect on barrier performance. The boundary element method (BEM) has been shown to be a very effective technique for predicting barrier insertion loss in the absence of turbulence. This paper develops a simple and efficient modification of the BEM formulation to predict the insertion loss of a barrier in the presence of atmospheric turbulence. The modification is based on two alternative methods: (1) random realisations of log-amplitude and phase fluctuations of boundary sources and (2) de-correlation of source coherence using the mutual coherence function (MCF). An investigation into the behaviours of these two methods is carried out and simplified forms of the methods developed. Some systematic differences between the predictions from the methods are found. When incorporated into the BEM formulation, the method of random realisations and the method of MCF de-correlation provide predictions that agree well with predictions by the parabolic equation method and by the scattering cross-section method on a variety of thin barrier configurations. © Elsevier Ltd. All rights reserved

The uncrossing partial order on matchings is Eulerian

We prove that the partial order on the set of matchings of 2n points on a circle, given by resolving crossings, is an Eulerian poset.Comment: 6 page

Bone growth following demineralized bone matrix implantation requires angiogenesis

Angiogenesis is required for endochondral ossification during development and fracture healing; however the exact mechanisms and temporal relationship between the two processes remains unclear. In this study, we utilize an in vivo model of endochondral ossification in mice by implanting demineralized bone matrix (DBM) proximal to the femur to induce ectopic bone formation. TNP-470, a drug known to be anti-angiogenic, was used to inhibit vascularization during the time course of de novo bone formation in order to define the role of angiogenesis during the chondrogenic phase of endochondral bone formation. Day 2, day 8, and day 16 post-surgery were selected time points to represent pre-chondrogenic, chondrogenic, and bone mineralization stages, respectively. Plain x-ray and micro-CT analysis showed that inhibition of angiogenesis led to decreased mineralized tissue formation. Inhibited angiogenesis was confirmed with qRT-PCR. Most striking, however, is that while stem cells are recruited and committed to the chondrogenic lineage, subsequent chondrogenesis failed to progress based on the failure of Sox5 and Sox6 expression, which directs chondrocyte commitment. This expands the role for angiogenesis to a much earlier stage than currently thought and places the necessity of angiogenesis very early in the endochondral ossification process