Exponential dichotomies of evolution operators in Banach spaces

This paper considers three dichotomy concepts (exponential dichotomy, uniform exponential dichotomy and strong exponential dichotomy) in the general context of non-invertible evolution operators in Banach spaces. Connections between these concepts are illustrated. Using the notion of Green function, we give necessary conditions and sufficient ones for strong exponential dichotomy. Some illustrative examples are presented to prove that the converse of some implication type theorems are not valid

The genetic architecture of the human cerebral cortex

The cerebral cortex underlies our complex cognitive capabilities, yet little is known about the specific genetic loci that influence human cortical structure. To identify genetic variants that affect cortical structure, we conducted a genome-wide association meta-analysis of brain magnetic resonance imaging data from 51,665 individuals. We analyzed the surface area and average thickness of the whole cortex and 34 regions with known functional specializations. We identified 199 significant loci and found significant enrichment for loci influencing total surface area within regulatory elements that are active during prenatal cortical development, supporting the radial unit hypothesis. Loci that affect regional surface area cluster near genes in Wnt signaling pathways, which influence progenitor expansion and areal identity. Variation in cortical structure is genetically correlated with cognitive function, Parkinson's disease, insomnia, depression, neuroticism, and attention deficit hyperactivity disorder

The Effect of Temperature on the Performance of Veromessor smithi

Understanding the effect of temperature on individual species will help us to predict how climate change impacts ecosystems. We used respiration to assess the effect of temperature on the performance of Veromessor smithi harvester ants. Because V. smithi are native to desert areas, we hypothesized that the harvester ants would perform better at higher temperatures, resulting in an increase in respiration. Further, we predicted that the optimum respiration temperature of V. smithi would be approximately 55 °C, which is the optimum respiration temperature of other desert ants. The level of oxygen consumption at 45 °C, the highest temperature tested, was about twice as much than at any of the other temperatures. However, we did not find evidence of a linear correlation between temperature and respiration. Our results suggest that respiration increases with temperature, though further analysis is needed to determine the optimum respiration temperature

The physiology of growth arrest: uniting molecular and environmental microbiology

Most bacteria spend the majority of their time in prolonged states of very low metabolic activity and little or no growth, in which electron donors, electron acceptors and/or nutrients are limited, but cells are poised to undergo rapid division cycles when resources become available. These non-growing states are far less studied than other growth states, which leaves many questions regarding basic bacterial physiology unanswered. In this Review, we discuss findings from a small but diverse set of systems that have been used to investigate how growth-arrested bacteria adjust metabolism, regulate transcription and translation, and maintain their chromosomes. We highlight major questions that remain to be addressed, and suggest that progress in answering them will be aided by recent methodological advances and by dialectic between environmental and molecular microbiology perspectives