Let H be a Hopf algebra over a field with bijective antipode, and A a commutative cleft right H-comodule algebra. In this paper, we investigate the ho-mological dimensions and the semisimplicity of the category of rel...Let H be a Hopf algebra over a field with bijective antipode, and A a commutative cleft right H-comodule algebra. In this paper, we investigate the ho-mological dimensions and the semisimplicity of the category of relative Hopf modulesAMH.展开更多
Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this paper, we characterize the structure of relative Ding projective modules over T under some conditions. Furthermore, using t...Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this paper, we characterize the structure of relative Ding projective modules over T under some conditions. Furthermore, using the left global relative Ding projective dimensions of A and B, we estimate the relative Ding projective dimension of a left T-module.展开更多
Twenty-four hour (circadian) rhythmicity is an important component of biological variability associated with studies relating to biomarkers of aging. Chronobiological testing techniques must be utilized because (1) ma...Twenty-four hour (circadian) rhythmicity is an important component of biological variability associated with studies relating to biomarkers of aging. Chronobiological testing techniques must be utilized because (1) many variables that are related to the modulation of metabolic output vary dramatically at different times of the day; (2) various experimental variable and treatment groups must be synchronized with environmental cues that control circadian rhythms; and (3) multiple circadian variables may interact together to modulate the rate of aging. The rhythm for physiological factors such as whole animal metabolic output, body temperature, heart rate, urine flow, potassium, etc. were found to be dissociated or altered by the senescence process; behavioral variables such as spontaneous activity, wheel running, feeding and drinking, verbal performance, as well as sleep-wakefulness rhythms, seem to be accurate predictors of biological age. Circadian rhythms for a variety of enzymes of intermediary metabolism which are directly associated with energy metabolism have been well documented. These well-defined rhythms of enzyme activity have also been shown to degenerate with aging. Rhythms tend to lose amplitude as activity falls with age and as a general loss of regulation (especially time of day where maximal activity might be found) of activity across the 24-h span occurs. As with behavioral variables, changes in enzyme rhythms appear to accurately predict aging. Generally speaking, the loss of temporal organization with age, characterized by decreased circadian amplitude, loose internal synchronization, and poor response to external environmental time queues, is associated with poor health states and decreased longevity. Temporal rhythms for whole animal parameters are highly correlated with molecular events, such as regulation of cellular metabolism. DNA repair, and gene expression. Automated data acquisition and process control systems will be required for future Chronobiological studies to develop biomarkers of aging.展开更多
Moxibustion can accelerate the relief of arthralgisof rats suffering from adjuvant arthritis.At the sametime,it promotes the recovery of SP in the sciaticnerve,and maintains SP and leu-enkephalin at ahigher level in t...Moxibustion can accelerate the relief of arthralgisof rats suffering from adjuvant arthritis.At the sametime,it promotes the recovery of SP in the sciaticnerve,and maintains SP and leu-enkephalin at ahigher level in the lumbar spinal cord.The resultsshow that the therapeutic effect of moxibustion intreating arthralgia bears some relation to activatingthe spinal enkephalin system and modulating thefunction of primary afferent neurons.展开更多
Recent advancements in spatial transcriptomics(ST)technologies allow researchers to simultaneously measure RNA expression levels for hundreds to thousands of genes while preserving spatial information within tissues,p...Recent advancements in spatial transcriptomics(ST)technologies allow researchers to simultaneously measure RNA expression levels for hundreds to thousands of genes while preserving spatial information within tissues,providing critical insights into spatial gene expression patterns,tissue organization,and gene functionality.However,existing methods for clustering spatially variable genes(SVGs)into co-expression modules often fail to detect rare or unique spatial expression patterns.To address this,we present spatial transcriptomics iterative hierarchical clustering(stIHC),a novel method for clustering SVGs into co-expression modules,representing groups of genes with shared spatial expression patterns.Through three simulations and applications to ST datasets from technologies such as 10x Visium,10x Xenium,and Spatial Transcriptomics,stIHC outperforms clustering approaches used by popular SVG detection methods,including SPARK,SPARK-X,MERINGUE,and SpatialDE.Gene ontology enrichment analysis confirms that genes within each module share consistent biological functions,supporting the functional relevance of spatial co-expression.Robust across technologies with varying gene numbers and spatial resolution,stIHC provides a powerful tool for decoding the spatial organization of gene expression and the functional structure of complex tissues.展开更多
Let (R, m) be a relative Cohen–Macaulay local ring with respect to an ideal a of R and set c to be ht a. We investigate some properties of the Matlis dual of the R-module H^ca(R), and we show that such modules behave...Let (R, m) be a relative Cohen–Macaulay local ring with respect to an ideal a of R and set c to be ht a. We investigate some properties of the Matlis dual of the R-module H^ca(R), and we show that such modules behave like canonical modules over Cohen–Macaulay local rings. Moreover, we provide some duality and equivalence results with respect to the module H^ca(R)^∨, and these results lead us to achieve generalizations of some known results, such as the local duality theorem, which have been provided over a Cohen–Macaulay local ring admiting a canonical R-module.展开更多
基金The Fundation of Key Research Program (02021029) and the NSF (2004kj352) of Anhui Province, China.
文摘Let H be a Hopf algebra over a field with bijective antipode, and A a commutative cleft right H-comodule algebra. In this paper, we investigate the ho-mological dimensions and the semisimplicity of the category of relative Hopf modulesAMH.
文摘Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this paper, we characterize the structure of relative Ding projective modules over T under some conditions. Furthermore, using the left global relative Ding projective dimensions of A and B, we estimate the relative Ding projective dimension of a left T-module.
文摘Twenty-four hour (circadian) rhythmicity is an important component of biological variability associated with studies relating to biomarkers of aging. Chronobiological testing techniques must be utilized because (1) many variables that are related to the modulation of metabolic output vary dramatically at different times of the day; (2) various experimental variable and treatment groups must be synchronized with environmental cues that control circadian rhythms; and (3) multiple circadian variables may interact together to modulate the rate of aging. The rhythm for physiological factors such as whole animal metabolic output, body temperature, heart rate, urine flow, potassium, etc. were found to be dissociated or altered by the senescence process; behavioral variables such as spontaneous activity, wheel running, feeding and drinking, verbal performance, as well as sleep-wakefulness rhythms, seem to be accurate predictors of biological age. Circadian rhythms for a variety of enzymes of intermediary metabolism which are directly associated with energy metabolism have been well documented. These well-defined rhythms of enzyme activity have also been shown to degenerate with aging. Rhythms tend to lose amplitude as activity falls with age and as a general loss of regulation (especially time of day where maximal activity might be found) of activity across the 24-h span occurs. As with behavioral variables, changes in enzyme rhythms appear to accurately predict aging. Generally speaking, the loss of temporal organization with age, characterized by decreased circadian amplitude, loose internal synchronization, and poor response to external environmental time queues, is associated with poor health states and decreased longevity. Temporal rhythms for whole animal parameters are highly correlated with molecular events, such as regulation of cellular metabolism. DNA repair, and gene expression. Automated data acquisition and process control systems will be required for future Chronobiological studies to develop biomarkers of aging.
文摘Moxibustion can accelerate the relief of arthralgisof rats suffering from adjuvant arthritis.At the sametime,it promotes the recovery of SP in the sciaticnerve,and maintains SP and leu-enkephalin at ahigher level in the lumbar spinal cord.The resultsshow that the therapeutic effect of moxibustion intreating arthralgia bears some relation to activatingthe spinal enkephalin system and modulating thefunction of primary afferent neurons.
基金Science Foundation Ireland,Grant/Award Numbers:18/CRT/6214,18/CRT/6214(S4)。
文摘Recent advancements in spatial transcriptomics(ST)technologies allow researchers to simultaneously measure RNA expression levels for hundreds to thousands of genes while preserving spatial information within tissues,providing critical insights into spatial gene expression patterns,tissue organization,and gene functionality.However,existing methods for clustering spatially variable genes(SVGs)into co-expression modules often fail to detect rare or unique spatial expression patterns.To address this,we present spatial transcriptomics iterative hierarchical clustering(stIHC),a novel method for clustering SVGs into co-expression modules,representing groups of genes with shared spatial expression patterns.Through three simulations and applications to ST datasets from technologies such as 10x Visium,10x Xenium,and Spatial Transcriptomics,stIHC outperforms clustering approaches used by popular SVG detection methods,including SPARK,SPARK-X,MERINGUE,and SpatialDE.Gene ontology enrichment analysis confirms that genes within each module share consistent biological functions,supporting the functional relevance of spatial co-expression.Robust across technologies with varying gene numbers and spatial resolution,stIHC provides a powerful tool for decoding the spatial organization of gene expression and the functional structure of complex tissues.
文摘Let (R, m) be a relative Cohen–Macaulay local ring with respect to an ideal a of R and set c to be ht a. We investigate some properties of the Matlis dual of the R-module H^ca(R), and we show that such modules behave like canonical modules over Cohen–Macaulay local rings. Moreover, we provide some duality and equivalence results with respect to the module H^ca(R)^∨, and these results lead us to achieve generalizations of some known results, such as the local duality theorem, which have been provided over a Cohen–Macaulay local ring admiting a canonical R-module.
