This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the...This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the existence and uniqueness of solutions, and then prove the existence and uniqueness of tempered pullback random attractors for the random dynamical system generated by the solutions of considered equations in an appropriate Hilbert space. The proof is based on the uniform estimates and the decomposition of dynamical system.展开更多
Background:There is growing evidence indicating that the microbial communities that dwell on the human ocular surface are crucially important for ocular surface health and disease.Little is known about interspecies in...Background:There is growing evidence indicating that the microbial communities that dwell on the human ocular surface are crucially important for ocular surface health and disease.Little is known about interspecies interactions,functional profiles,and strain heterogeneity across individuals in healthy ocular surface microbiomes.Methods:To comprehensively characterize the strain heterogeneity,cooccurrence network,taxonomic composition and functional profile of the healthy ocular surface microbiome,we performed shotgun metagenomics sequencing on ocular surface mucosal membrane swabs of 17 healthy volunteers.Results:The healthy ocular surface microbiome was classified into 12 phyla,70 genera,and 140 species.The number of species in each healthy ocular surface microbiome ranged from 6 to 47,indicating differences in microbial diversity among individuals.The species with high relative abundances and high positivity rates were Streptococcus pyogenes,Staphylococcus epidermidis,Propionibacterium acnes,Corynebacterium accolens,and Enhydrobacter aerosaccus.A correlation network analysis revealed a competitive interaction of Staphylococcus epidermidis with Streptococcus pyogenes in ocular surface microbial ecosystems.Staphylococcus epidermidis and Streptococcus pyogenes revealed phylogenetic diversity among different individuals.At the functional level,the pathways related to transcription were the most abundant.We also found that there were abundant lipid and amino acid metabolism pathways in the healthy ocular surface microbiome.Conclusion:This study explored the strain heterogeneity,cooccurrence network,taxonomic composition,and functional profile of the healthy ocular surface microbiome.These findings have important significance for the future development of probiotic-based eye therapeutic drugs.展开更多
The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo system.We prove that the system has a pullback random attractor that is compact in Hs(R^(n))×L^(2)(R^...The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo system.We prove that the system has a pullback random attractor that is compact in Hs(R^(n))×L^(2)(R^(n))and attracts all tempered random sets of L^(2)(R^(n))×L^(2)(R^(n))in the topology of Hs(R^(n))×L^(2)(R^(n))with s∈(0,1).By the idea of positive and negative truncations,spectral decomposition in bounded domains,and tail estimates,we achieved the desired results.展开更多
文摘This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the existence and uniqueness of solutions, and then prove the existence and uniqueness of tempered pullback random attractors for the random dynamical system generated by the solutions of considered equations in an appropriate Hilbert space. The proof is based on the uniform estimates and the decomposition of dynamical system.
基金supported by the National Science and Technology Major Project(Grant No.2018ZX10201001).
文摘Background:There is growing evidence indicating that the microbial communities that dwell on the human ocular surface are crucially important for ocular surface health and disease.Little is known about interspecies interactions,functional profiles,and strain heterogeneity across individuals in healthy ocular surface microbiomes.Methods:To comprehensively characterize the strain heterogeneity,cooccurrence network,taxonomic composition and functional profile of the healthy ocular surface microbiome,we performed shotgun metagenomics sequencing on ocular surface mucosal membrane swabs of 17 healthy volunteers.Results:The healthy ocular surface microbiome was classified into 12 phyla,70 genera,and 140 species.The number of species in each healthy ocular surface microbiome ranged from 6 to 47,indicating differences in microbial diversity among individuals.The species with high relative abundances and high positivity rates were Streptococcus pyogenes,Staphylococcus epidermidis,Propionibacterium acnes,Corynebacterium accolens,and Enhydrobacter aerosaccus.A correlation network analysis revealed a competitive interaction of Staphylococcus epidermidis with Streptococcus pyogenes in ocular surface microbial ecosystems.Staphylococcus epidermidis and Streptococcus pyogenes revealed phylogenetic diversity among different individuals.At the functional level,the pathways related to transcription were the most abundant.We also found that there were abundant lipid and amino acid metabolism pathways in the healthy ocular surface microbiome.Conclusion:This study explored the strain heterogeneity,cooccurrence network,taxonomic composition,and functional profile of the healthy ocular surface microbiome.These findings have important significance for the future development of probiotic-based eye therapeutic drugs.
基金This work was partially supported by the National Natural Science Foundation of China(Grant Nos.11771444,11871138)the Yue Qi Young Scholar Project+3 种基金China University of Mining and Technology(Beijing),China Scholarship Council(CSC)the Funding of V.C.&V.R.Key Lab of Sichuan Provincethe Funding of Young Backbone Teacher in Henan ProvinceHenan Overseas Expertise Introduction Center for Discipline Innovation.
文摘The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo system.We prove that the system has a pullback random attractor that is compact in Hs(R^(n))×L^(2)(R^(n))and attracts all tempered random sets of L^(2)(R^(n))×L^(2)(R^(n))in the topology of Hs(R^(n))×L^(2)(R^(n))with s∈(0,1).By the idea of positive and negative truncations,spectral decomposition in bounded domains,and tail estimates,we achieved the desired results.
