Ergodicity for the GI/G/1GI/G/1-type Markov Chain

Ergodicity is a fundamental issue for a stochastic process. In this paper, we refine results on ergodicity for a general type of Markov chain to a specific type or the $GI/G/1$-type Markov chain, which has many interesting and important applications in various areas. It is of interest to obtain conditions in terms of system parameters or the given information about the process, under which the chain has various ergodic properties. Specifically, we provide necessary and sufficient conditions for geometric, strong and polynomial ergodicity, respectively.Comment: 16 page

Analyses of pig genomes provide insight into porcine demography and evolution

For 10,000 years pigs and humans have shared a close and complex relationship. From domestication to modern breeding practices, humans have shaped the genomes of domestic pigs. Here we present the assembly and analysis of the genome sequence of a female domestic Duroc pig (Sus scrofa) and a comparison with the genomes of wild and domestic pigs from Europe and Asia. Wild pigs emerged in South East Asia and subsequently spread across Eurasia. Our results reveal a deep phylogenetic split between European and Asian wild boars ∼1 million years ago, and a selective sweep analysis indicates selection on genes involved in RNA processing and regulation. Genes associated with immune response and olfaction exhibit fast evolution. Pigs have the largest repertoire of functional olfactory receptor genes, reflecting the importance of smell in this scavenging animal. The pig genome sequence provides an important resource for further improvements of this important livestock species, and our identification of many putative disease-causing variants extends the potential of the pig as a biomedical model

Cordyceps sinensis-derived fungus Isaria felina ameliorates experimental autoimmune thyroiditis in mice

Aims: This study aimed to investigate the therapeutic effect of Cordyceps sinensis-derived fungus Isaria felina on experimental autoimmune thyroiditis (EAT). Methods: A NaI-induced EAT mouse model was established. The mice received oral administration of vehicle, low-dose Isaria felina (300 mg/kg), or high-dose Isaria felina (600 mg/kg) once a day for four weeks before euthanasia. Enzyme-linked immunosorbent assays (ELISA) was performed to measure serum thyroid-stimulating hormone (TSH) levels, thyroid antibodies, and cytokines. Hematoxylin and eosin (H&E) staining was conducted to assess histopathological changes in the thyroid tissue samples of mice. TUNEL and Bcl-2 immunohistochemistry (IHC) were performed to evaluate cell apoptosis, and cleaved caspase-3 IHC was performed to detect the relative expression in the thyroid tissue samples. Results: Compared with KIO3 and KI water, NaI water consumption successfully induced EAT in mice, as evidenced by significantly increased circulating TSH and thyroid antibody levels, along with typical histopathological abnormalities of autoimmune thyroiditis (AIT) in the thyroid tissue samples. Compared with vehicle or low-dose Isaria felina, high-dose Isaria felina treatment resulted in significant reductions in white cell counts and circulating TSH, thyroid antibody, and cytokine levels of EAT mice. High-dose Isaria felina also alleviated histopathological abnormalities and attenuated TUNEL staining, Bcl-2 protein expression, and cleaved caspase-3 expression in the thyroid tissue samples. Conclusion: High-dose Isaria felina treatment alleviates thyroid inflammation and cell apoptosis in EAT, serving as a novel, promising therapeutic agent for AIT

Genomic variation in 3,010 diverse accessions of Asian cultivated rice

Here we analyse genetic variation, population structure and diversity among 3,010 diverse Asian cultivated rice (Oryza sativa L.) genomes from the 3,000 Rice Genomes Project. Our results are consistent with the five major groups previously recognized, but also suggest several unreported subpopulations that correlate with geographic location. We identified 29 million single nucleotide polymorphisms, 2.4 million small indels and over 90,000 structural variations that contribute to within- and between-population variation. Using pan-genome analyses, we identified more than 10,000 novel full-length protein-coding genes and a high number of presence-absence variations. The complex patterns of introgression observed in domestication genes are consistent with multiple independent rice domestication events. The public availability of data from the 3,000 Rice Genomes Project provides a resource for rice genomics research and breeding