Stability Analysis of Turing Patterns Generated by the Schnakenberg Model

We consider the following Schnakenberg model on the interval (−1, 1): ut = D1u − u + vu2 in (−1, 1), vt = D2v + B − vu2 in (−1, 1), u (−1) = u (1) = v (−1) = v (1) = 0, where D1 > 0, D2 > 0, B>0. We rigorously show that the stability of symmetric N−peaked steady-states can be reduced to computing two matrices in terms of the diffusion coefficients D1,D2 and the number N of peaks. These matrices and their spectra are calculated explicitly and sharp conditions for linear stability are derived. The results are verified by some numerical simulations

Henry Langley, a Man Who Built Churches: Religion and Architecture in 19th-Century Ontario

Henry Langley (1836-1907), was the most prolific church architect for all denominations in what would become Ontario in the nineteenth century. This dissertation considers the church architecture of Henry Langley and his practice through an examination of the church designs and a close analysis of those works against the architectural literature and theories that were in existence in the nineteenth century. Central to the success of Langleys firm was his background in the Gothic Revival and architectural theory. Through his training with the Scottish-born architect William Hay (1818-88), Langley became familiar with the work of A.W.N. Pugin and ecclesiology. This theoretical foundation was almost certainly complimented by contemporary theory and printed pattern books regarding architectural style and church planning from Britain and the United States. Evidence of this resides in the fabric of Langleys churches, which are analyzed formally throughout this dissertation. Moreover, Langleys firm was a leader in the development of Gothic Revival architecture in nineteenth-century Ontario, designing large-scale city churches across the province, which used traditional forms in new and innovative manners to contend with urbanization and industrialized society. While tracing Langleys career from apprentice and student to successful architect and leader in professionalization, this dissertation examines Langleys role within the Gothic Revival movement of the nineteenth century locally, nationally, and internationally, and demonstrates how the churches that resulted from his practice are effective social and cultural texts that reveal their religious, social, and architectural associations, while reflecting the religious spirit of nineteenth-century Ontario culture

How does iron interact with sporopollenin exine capsules? An X-ray absorption study including microfocus XANES and XRF imaging

Sporopollenin exine capsules (SECs) derived from plant spores and pollen grains have been proposed as adsorption, remediation and drug delivery agents. Despite many studies there is scant structural data available. This X-ray absorption investigation represents the first direct structural data on the interaction of metals with SECs and allows elucidation of their structure–property relationships. Fe K-edge XANES and EXAFS data have shown that the iron local environment in SECs (derived from Lycopodium clavatum) reacted with aqueous ferric chloride solutions is similar to that of ferrihydrite (FeOOH) and by implication ferritin. Fe Kα XRF micro-focus experiments show that there is a poor correlation between the iron distribution and the underlying SEC structure indicating that the SEC is coated in the FeOOH material. In contrast, the Fe Kα XRF micro-focus experiments on SECs reacted with aqueous ferrous chloride solutions show that there is a very high correlation between the iron distribution and the SEC structure, indicating a much more specific form of interaction of the iron with the SEC surface functional groups. Fe K-edge XANES and EXAFS data show that the FeII can be easily oxidised to give a structure similar to, but not identical to that in the FeIII case, and that even if anaerobic conditions are used there is still partial oxidation to FeIII

Iron economy in Chlamydomonas reinhardtii.

While research on iron nutrition in plants has largely focused on iron-uptake pathways, photosynthetic microbes such as the unicellular green alga Chlamydomonas reinhardtii provide excellent experimental systems for understanding iron metabolism at the subcellular level. Several paradigms in iron homeostasis have been established in this alga, including photosystem remodeling in the chloroplast and preferential retention of some pathways and key iron-dependent proteins in response to suboptimal iron supply. This review presents our current understanding of iron homeostasis in Chlamydomonas, with specific attention on characterized responses to changes in iron supply, like iron-deficiency. An overview of frequently used methods for the investigation of iron-responsive gene expression, physiology and metabolism is also provided, including preparation of media, the effect of cell size, cell density and strain choice on quantitative measurements and methods for the determination of metal content and assessing the effect of iron supply on photosynthetic performance

Capture cross sections of the acceptor level of iron-boron pairs in p-type silicon by injection-level dependent lifetime measurements

Injection-level dependent recombination lifetime measurements of iron-diffused, boron-doped silicon wafers of different resistivities are used to determine the electron and hole capture crosssections of the acceptor level of iron-boron pairs in silicon. The relative populations of iron-boron pairs and interstitial iron were varied by exposing the samples to different levels of illumination prior to lifetime measurements. The components of the effective lifetime due to interstitial iron and iron-boron pairs were then modeled with Shockley-Read-Hall statistics. By forcing the sum of the modeled iron-boron and interstitial iron concentrations to equal the implanted iron dose, in conjunction with the strong dependence of the shape of the lifetime curves on dopant density, the electron and hole capture cross-sections of the acceptor level of iron-boron pairs have been determined as (3±2)×10-14cm-2 and (2±1)×10-15cm-2