Novel molecular insights into human tooth agenesis

The development of dentition is a fascinating process that involves a complex series of epithelial-mesenchymel signaling interactions. That such a precise process frequently goes awry is not surprising. Indeed, tooth agenesis is one of the most commonly inherited disorders in humans that affects up to twenty percent of the population and imposes significant functional, emotional and financial burdens on patients. Mutations in the paired box domain containing transcription factor PAX9 result in autosomal dominant tooth agenesis that primarily involves posterior dentition. Despite these advances, little is known about how PAX9 mediates key signaling actions in tooth development and how aberrations in PAX9 functions lead to tooth agenesis. As an initial step towards providing evidence for the pathogenic role of mutant PAX9 proteins, I performed a series of molecular genetic analyses aimed at resolving the structural and functional defects produced by a number of PAX9 mutations causing non-syndromic posterior tooth agenesis. It is likely that the pathogenic mechanism underlying tooth agenesis for the first two mutations studied (219InsG and IIe87Phe) is haploinsufficiency. For the six paired domain missense mutations studied, the lack of functional defects observed for three of the mutant proteins suggests that these mutations altered PAX9 function through alternate mechanisms. Next, I explored further the nature of the partnership between Pax9 and the Msx1 homeoprotein and their role in the expression of a downstream effector molecule, Bmp4. When viewed in the context of events occurring in dental mesenchyme, the results of these studies indicate that the Pax9-Msx1 protein interaction involves the localized up-regulation of Bmp4 activity that is mediated by synergistic interactions between the two transcription factors. Importantly, these assays corroborate in vivo data from mouse genetic studies and support reports of Pax9-dependent expression of Bmp4 in dental mesenchyme. Taken together, these results suggest that PAX9 mutations cause an early developmental defect due to an inability to maintain the inductive potential of dental mesenchyme through involvement in a pathway involving Msx1 and Bmp4. ^

Major, trace element and XRF data for sediments and fish tooth samples, from a shallow marine setting with varying redox conditions (Site U1356, Wilkes Land Margin, E.Antarctica)

Fossil fish teeth from pelagic open ocean settings are considered a robust archive for preserving the neodymium (Nd) isotopic composition of ancient seawater. However, using fossil fish teeth as an archive to reconstruct seawater Nd isotopic compositions in different sedimentary redox environments and in terrigenous-dominated, shallow marine settings is less proven. To address these uncertainties, fish tooth and sediment samples from a middle Eocene section deposited proximal to the East Antarctic margin at Integrated Ocean Drilling Program Site U1356 were analyzed for major and trace element geochemistry, and Nd isotopes. Major and trace element analyses of the sediments reveal changing redox conditions throughout deposition in a shallow marine environment. However, variations in the Nd isotopic composition and rare earth element (REE) patterns of the associated fish teeth do not correspond to redox changes in the sediments. REE patterns in fish teeth at Site U1356 carry a typical mid-REE-enriched signature. However, a consistently positive Ce anomaly marks a deviation from a pure authigenic origin of REEs to the fish tooth. Neodymium isotopic compositions of cleaned and uncleaned fish teeth fall between modern seawater and local sediments and hence could be authigenic in nature, but could also be influenced by sedimentary fluxes. We conclude that the fossil fish tooth Nd isotope proxy is not sensitive to moderate changes in pore water oxygenation. However, combined studies on sediments, pore waters, fish teeth and seawater are needed to fully understand processes driving the reconstructed signature from shallow marine sections in proximity to continental sources. This article is protected by copyright. All rights reserved.

A matrix pencil approach to the existence of compactly supported reconstruction functions in average sampling

The aim of this work is to solve a question raised for average sampling in shift-invariant spaces by using the well-known matrix pencil theory. In many common situations in sampling theory, the available data are samples of some convolution operator acting on the function itself: this leads to the problem of average sampling, also known as generalized sampling. In this paper we deal with the existence of a sampling formula involving these samples and having reconstruction functions with compact support. Thus, low computational complexity is involved and truncation errors are avoided. In practice, it is accomplished by means of a FIR filter bank. An answer is given in the light of the generalized sampling theory by using the oversampling technique: more samples than strictly necessary are used. The original problem reduces to finding a polynomial left inverse of a polynomial matrix intimately related to the sampling problem which, for a suitable choice of the sampling period, becomes a matrix pencil. This matrix pencil approach allows us to obtain a practical method for computing the compactly supported reconstruction functions for the important case where the oversampling rate is minimum. Moreover, the optimality of the obtained solution is established.

Problem-based learning supported by semantic techniques

Problem-based learning has been applied over the last three decades to a diverse range of learning environments. In this educational approach, different problems are posed to the learners so that they can develop different solutions while learning about the problem domain. When applied to conceptual modelling, and particularly to Qualitative Reasoning, the solutions to problems are models that represent the behaviour of a dynamic system. The learner?s task then is to bridge the gap between their initial model, as their first attempt to represent the system, and the target models that provide solutions to that problem. We propose the use of semantic technologies and resources to help in bridging that gap by providing links to terminology and formal definitions, and matching techniques to allow learners to benefit from existing models.