On the commutability of homogenization and linearization in finite elasticity

We study non-convex elastic energy functionals associated to (spatially) periodic, frame indifferent energy densities with a single non-degenerate energy well at SO(n). Under the assumption that the energy density admits a quadratic Taylor expansion at identity, we prove that the Gamma-limits associated to homogenization and linearization commute. Moreover, we show that the homogenized energy density, which is determined by a multi-cell homogenization formula, has a quadratic Taylor expansion with a quadratic term that is given by the homogenization of the quadratic term associated to the linearization of the initial energy density

2000-year-old pathogen genomes reconstructed from metagenomic analysis of Egyptian mummified individuals

BACKGROUND: Recent advances in sequencing have facilitated large-scale analyses of the metagenomic composition of different samples, including the environmental microbiome of air, water, and soil, as well as the microbiome of living humans and other animals. Analyses of the microbiome of ancient human samples may provide insights into human health and disease, as well as pathogen evolution, but the field is still in its very early stages and considered highly challenging. - RESULTS: The metagenomic and pathogen content of Egyptian mummified individuals from different time periods was investigated via genetic analysis of the microbial composition of various tissues. The analysis of the dental calculus’ microbiome identified Red Complex bacteria, which are correlated with periodontal diseases. From bone and soft tissue, genomes of two ancient pathogens, a 2200-year-old Mycobacterium leprae strain and a 2000-year-old human hepatitis B virus, were successfully reconstructed. - CONCLUSIONS: The results show the reliability of metagenomic studies on Egyptian mummified individuals and the potential to use them as a source for the extraction of ancient pathogen DNA.Background Results - Sample information and dating - General metagenomic assessment - Mycobacterium leprae (individual Abusir1630) - Hepatitis B virus (individual Abusir1543) - Oral microbiome assessment Discussion Conclusions Methods - Sample extraction and radiocarbon dating - Sample extraction and library preparation - Metagenomic screening - Authentication of ancient DNA - Content of endogenous DNA (SourceTracker2) - Data processing of sample Abusir1630b (M. leprae) -- Read processing, mapping, and variant calling -- SNP typing -- Anthropological analysis -- Phylogeny -- Beast analysis -- Temporal signal - Data processing individual Abusir1543 (hepatitis B virus) -- Read processing, mapping, and variant calling -- Phylogeny -- Recombination analysis -- Beast analysis -- Temporal signa