The Optimum Growth Rate for Population Reconsidered

This article gives exact general conditions for the existence of an interior optimum growth rate for population in the neoclassical two-generations-overlapping model. In an economy where high (low) growth rates of population lead to a growth path which is efficient (inefficient) there always exists an interior optimum growth rate for population. In all other cases there exists no interior optimum. The Serendipity Theorem, however, does in general not hold in an economy with government debt. Moreover, the growth rate for population which leads an economy with debt to a golden rule allocation can never be optimal.

The Optimum Growth Rate for Population Reconsidered

This article gives exact general conditions for the existence of an interior optimum growth rate for population in the neoclassical two-generations-overlapping model. In an economy where high (low) growth rates of population lead to a growth path which is efficient (inefficient) there always exists an interior optimum growth rate for population. In all other cases there exists no interior optimum. The Serendipity Theorem, however, does in general not hold in an economy with government debt. Moreover, the growth rate for population which leads an economy with debt to a golden rule allocation can never be optimal

Indentation and self-healing mechanisms of a self-assembled monolayer:a combined experimental and modeling study

A combination of in situ vibrational sum-frequency generation (SFG) spectroscopy and molecular-dynamics (MD) simulations has allowed us to study the effects of indentation of self-assembled octadecylphosphonic acid (ODPA) monolayers on α-Al2O3(0001). Stress-induced changes in the vibrational signatures of C–H stretching vibrations in SFG spectra and the results of MD simulations provide clear evidence for an increase in gauche-defect density in the monolayer as a response to indentation. A stress-dependent analysis indicates that the defect density reaches saturation at approximately 155 MPa. After stress is released, the MD simulations show an almost instantaneous healing of pressure-induced defects in good agreement with experimental results. The lateral extent of the contact areas was studied with colocalized SFG spectroscopy and compared to theoretical predictions for pressure gradients from Hertzian contact theory. SFG experiments reveal a gradual increase in gauche-defect density with pressure before saturation close to the contact center. Furthermore, our MD simulations show a spatial anisotropy of pressure-induced effects within ODPA domains: molecules tilted in the direction of the pressure gradient increase in tilt angle while those on the opposite side form gauche-defects

Argumente und Möglichkeiten für eine Quantifizierung und ein Monitoring der differenzierten Landnutzung

The concept of differentiated land use was formulated already 50 years ago to preserve biodiversity and to maintain or restore the necessary landscape structure. Although it has been anchored in the Federal Nature Conservation Act, there is still no monitoring of its implementation, although the German Advisory Council on the Environment has been calling for this for 25 years. The paper argues that the technical prerequisites for monitoring the differentiated land use are ready today and discusses the conceptual steps necessary. It identifies several dimensions and proposes corresponding indicators of landscape structure, in particular the degree of diversification and the mixing of intensive land uses, the distribution of the size of intensively used areas, the proportion of semi-natural areas (at least 10 %) and the interconnected arrangement of semi-natural areas. Furthermore, the paper discusses suitable reference units and existing data. Finally, we identify remaining gaps in the data basis and discuss the question of defining target values.Das Konzept der differenzierten Landnutzung wurde bereits vor 50 Jahren formuliert, um Biodiversität zu erhalten und die dazu erforderliche Landschaftsstruktur zu bewahren oder wiederherzustellen. Es ist zwar im Bundesnaturschutzgesetz verankert worden, aber es fehlt noch immer ein Monitoring seiner Umsetzung, obwohl der Sachverständigenrat für Umweltfragen dies seit 25 Jahren als notwendig einfordert. Der Beitrag argumentiert, dass die technischen Voraussetzungen für ein Monitoring der differenzierten Landnutzung heute bereitstehen, und diskutiert die dafür nötigen konzeptuellen Schritte. Es werden verschiedene Dimensionen bestimmt und entsprechende Indikatoren der Landschaftsstruktur vorgeschlagen, insbesondere zum Grad der Diversifizierung und der Durchmischung der intensiven Landnutzungen, zur Schlaggrößenverteilung intensiv genutzter Flächen, zum Flächenanteil naturnaher Flächen (mindestens 10 %) und zur vernetzten Anordnung der naturnahen Flächen. Des Weiteren diskutiert der Aufsatz geeignete Bezugseinheiten und vorhandene Daten. Abschließend werden verbleibende Lücken in den Datengrundlagen identifiziert und die Frage der Definition von Zielwerten erörtert

Revealing Hidden Potentials of the q-Space Signal in Breast Cancer

Mammography screening for early detection of breast lesions currently suffers from high amounts of false positive findings, which result in unnecessary invasive biopsies. Diffusion-weighted MR images (DWI) can help to reduce many of these false-positive findings prior to biopsy. Current approaches estimate tissue properties by means of quantitative parameters taken from generative, biophysical models fit to the q-space encoded signal under certain assumptions regarding noise and spatial homogeneity. This process is prone to fitting instability and partial information loss due to model simplicity. We reveal unexplored potentials of the signal by integrating all data processing components into a convolutional neural network (CNN) architecture that is designed to propagate clinical target information down to the raw input images. This approach enables simultaneous and target-specific optimization of image normalization, signal exploitation, global representation learning and classification. Using a multicentric data set of 222 patients, we demonstrate that our approach significantly improves clinical decision making with respect to the current state of the art.Comment: Accepted conference paper at MICCAI 201

Argumente und Möglichkeiten für eine Quantifizierung und ein Monitoring der differenzierten Landnutzung

Das Konzept der differenzierten Landnutzung wurde bereits vor 50 Jahren formuliert, um Biodiversität zu erhalten und die dazu erforderliche Landschaftsstruktur zu bewahren oder wiederherzustellen. Es ist zwar im Bundesnaturschutzgesetz verankert worden, aber es fehlt noch immer ein Monitoring seiner Umsetzung, obwohl der Sachverständigenrat für Umweltfragen dies seit 25 Jahren als notwendig einfordert. Der Beitrag argumentiert, dass die technischen Voraussetzungen für ein Monitoring der differenzierten Landnutzung heute bereitstehen, und diskutiert die dafür nötigen konzeptuellen Schritte. Es werden verschiedene Dimensionen bestimmt und entsprechende Indikatoren der Landschaftsstruktur vorgeschlagen, insbesondere zum Grad der Diversifizierung und der Durchmischung der intensiven Landnutzungen, zur Schlaggrößenverteilung intensiv genutzter Flächen, zum Flächenanteil naturnaher Flächen (mindestens 10%) und zur vernetzten Anordnung der naturnahen Flächen. Des Weiteren diskutiert der Aufsatz geeignete Bezugseinheiten und vorhandene Daten. Abschließend werden verbleibende Lücken in den Datengrundlagen identifiziert und die Frage der Definition von Zielwerten erörtert.The concept of differentiated land use was formulated already 50 years ago to preserve biodiversity and to maintain or restore the necessary landscape structure. Although it has been anchored in the Federal Nature Conservation Act, there is still no monitoring of its implementation, although the German Advisory Council on the Environment has been calling for this for 25 years. The paper argues that the technical prerequisites for monitoring the differentiated land use are ready today and discusses the conceptual steps necessary. It identifies several dimensions and proposes corresponding indicators of landscape structure, in particular the degree of diversification and the mixing of intensive land uses, the distribution of the size of intensively used areas, the proportion of semi-natural areas (at least 10%) and the interconnected arrangement of seminatural areas. Furthermore, the paper discusses suitable reference units and existing data. Finally, we identify remaining gaps in the data basis and discuss the question of defining target values

Bottom-up assembly of metallic germanium

Extending chip performance beyond current limits of miniaturisation requires new materials and functionalities that integrate well with the silicon platform. Germanium fits these requirements and has been proposed as a high-mobility channel material, a light emitting medium in silicon-integrated lasers, and a plasmonic conductor for bio-sensing. Common to these diverse applications is the need for homogeneous, high electron densities in three-dimensions (3D). Here we use a bottom-up approach to demonstrate the 3D assembly of atomically sharp doping profiles in germanium by a repeated stacking of two-dimensional (2D) high-density phosphorus layers. This produces high-density (1019 to 1020 cm−3) low-resistivity (10−4Ω · cm) metallic germanium of precisely defined thickness, beyond the capabilities of diffusion-based doping technologies. We demonstrate that free electrons from distinct 2D dopant layers coalesce into a homogeneous 3D conductor using anisotropic quantum interference measurements, atom probe tomography, and density functional theory

The Metagenome-Derived Enzymes LipS and LipT Increase the Diversity of Known Lipases

Triacylglycerol lipases (EC 3.1.1.3) catalyze both hydrolysis and synthesis reactions with a broad spectrum of substrates rendering them especially suitable for many biotechnological applications. Most lipases used today originate from mesophilic organisms and are susceptible to thermal denaturation whereas only few possess high thermotolerance. Here, we report on the identification and characterization of two novel thermostable bacterial lipases identified by functional metagenomic screenings. Metagenomic libraries were constructed from enrichment cultures maintained at 65 to 75°C and screened resulting in the identification of initially 10 clones with lipolytic activities. Subsequently, two ORFs were identified encoding lipases, LipS and LipT. Comparative sequence analyses suggested that both enzymes are members of novel lipase families. LipS is a 30.2 kDa protein and revealed a half-life of 48 h at 70°C. The lipT gene encoded for a multimeric enzyme with a half-life of 3 h at 70°C. LipS had an optimum temperature at 70°C and LipT at 75°C. Both enzymes catalyzed hydrolysis of long-chain (C12 and C14) fatty acid esters and additionally hydrolyzed a number of industry-relevant substrates. LipS was highly specific for (R)-ibuprofen-phenyl ester with an enantiomeric excess (ee) of 99%. Furthermore, LipS was able to synthesize 1-propyl laurate and 1-tetradecyl myristate at 70°C with rates similar to those of the lipase CalB from Candida antarctica. LipS represents the first example of a thermostable metagenome-derived lipase with significant synthesis activities. Its X-ray structure was solved with a resolution of 1.99 Å revealing an unusually compact lid structure

Relationships between Substrate Promiscuity and Chiral Selectivity of Esterases from Phylogenetically and Environmentally Diverse Microorganisms

Substrate specificity and selectivity of a biocatalyst are determined by the protein sequence and structure of its active site. Finding versatile biocatalysts acting against multiple substrates while at the same time being chiral selective is of interest for the pharmaceutical and chemical industry. However, the relationships between these two properties in natural microbial enzymes remain underexplored. Here, we performed an experimental analysis of substrate promiscuity and chiral selectivity in a set of 145 purified esterases from phylogenetically and environmentally diverse microorganisms, which were assayed against 96 diverse esters, 20 of which were enantiomers. Our results revealed a negative correlation between substrate promiscuity and chiral selectivity in the evaluated enzymes. Esterases displaying prominent substrate promiscuity and large catalytic environments are characterized by low chiral selectivity, a feature that has limited commercial value. Although a low level of substrate promiscuity does not guarantee high chiral selectivity, the probability that esterases with smaller active sites possess chiral selectivity factors of interest for industry (>25) is significantly higher than for promiscuous enzymes. Together, the present study unambiguously demonstrates that promiscuous and selective esterases appear to be rare in nature and that substrate promiscuity can be used as an indicator of the chiral selectivity level of esterases, and vice versa