Objective:Although the neurological and olfactory symptoms of coronavirus disease 2019 have been identified,the neurotropic properties of the causative virus,severe acute respiratory syndrome-associated coronavirus 2(...Objective:Although the neurological and olfactory symptoms of coronavirus disease 2019 have been identified,the neurotropic properties of the causative virus,severe acute respiratory syndrome-associated coronavirus 2(SARS-CoV-2),remain unknown.We sought to identify the susceptible cell types and potential routes of SARS-CoV-2 entry into the central nervous system,olfactory system,and respiratory system.Methods:We collected single-cell RNA data from normal brain and nasal epithelium specimens,along with bronchial,tracheal,and lung specimens in public datasets.The susceptible cell types that express SARS-CoV-2 entry genes were identified using single-cell RNA sequencing and the expression of the key genes at protein levels was verified by immunohistochemistry.We compared the coexpression patterns of the entry receptor angiotensin-converting enzyme 2(ACE2)and the spike protein priming enzyme transmembrane serine protease(TMPRSS)/cathepsin L among the specimens.Results:The SARS-CoV-2 entry receptor ACE2 and the spike protein priming enzyme TMPRSS/cathepsin L were coexpressed by pericytes in brain tissue;this coexpression was confirmed by immunohistochemistry.In the nasal epithelium,ciliated cells and sustentacular cells exhibited strong coexpression of ACE2 and TMPRSS.Neurons and glia in the brain and nasal epithelium did not exhibit coexpression of ACE2 and TMPRSS.However,coexpression was present in ciliated cells,vascular smooth muscle cells,and fibroblasts in tracheal tissue;ciliated cells and goblet cells in bronchial tissue;and alveolar epithelium type 1 cells,AT2 cells,and ciliated cells in lung tissue.Conclusion:Neurological symptoms in patients with coronavirus disease 2019 could be associated with SARS-CoV-2 invasion across the blood-brain barrier via pericytes.Additionally,SARS-CoV-2-induced olfactory disorders could be the result of localized cell damage in the nasal epithelium.展开更多
The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen’s hypergeometric series with unit argument,when one numerator parameter and one denominator parameter are nega...The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen’s hypergeometric series with unit argument,when one numerator parameter and one denominator parameter are negative integers.Further,using our truncated summation theorems,we obtain the Mellin transforms of the product of exponential function and Goursat’s truncated hypergeometric function.展开更多
Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust ...Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.展开更多
In this paper some novel integrals associated with the product of classical Hermite＇s polynomials ∫-∞＋∞（x2）mexp（-x2）{Hr（x）}2dx,∫0∞exp（-x2）H2k（x）H2s＋1（x）dx,∫0∞exp（-x2）H2k（x）H2s（x）dx and ∫0...In this paper some novel integrals associated with the product of classical Hermite＇s polynomials ∫-∞＋∞（x2）mexp（-x2）{Hr（x）}2dx,∫0∞exp（-x2）H2k（x）H2s＋1（x）dx,∫0∞exp（-x2）H2k（x）H2s（x）dx and ∫0∞exp（-x2）H2k＋1（x）H2s＋1（x）dx, are evaluated using hypergeometric approach and Laplace transform method, which is a different approach from the approaches given by the other authors in the field of spe- cial functions. Also the results may be of significant nature, and may yield numerous other interesting integrals involving the product of classical Hermite＇s polynomials by suitable simplifications of arbitrary parameters.展开更多
A novel correlation-based filter is presented for de-noising functional magnetic resonance imaging (fMRI) data.Temporal correlation-based exponential weights are defined for spatial smoothing of the data,with bias red...A novel correlation-based filter is presented for de-noising functional magnetic resonance imaging (fMRI) data.Temporal correlation-based exponential weights are defined for spatial smoothing of the data,with bias reduction using estimated noise variance.The proposed scheme is tested on simulated and real fMRI data.Finally,the results are compared with conventional filters.The method is found to be effectively suppressing the Rician noise in fMRI data,while improving the SNR.展开更多
基金supported by the National Natural Ascience Foundation of China(No.31821003 to HX)the China Ministry of Science and Technology(No.2018AAA0100300 to HX).
文摘Objective:Although the neurological and olfactory symptoms of coronavirus disease 2019 have been identified,the neurotropic properties of the causative virus,severe acute respiratory syndrome-associated coronavirus 2(SARS-CoV-2),remain unknown.We sought to identify the susceptible cell types and potential routes of SARS-CoV-2 entry into the central nervous system,olfactory system,and respiratory system.Methods:We collected single-cell RNA data from normal brain and nasal epithelium specimens,along with bronchial,tracheal,and lung specimens in public datasets.The susceptible cell types that express SARS-CoV-2 entry genes were identified using single-cell RNA sequencing and the expression of the key genes at protein levels was verified by immunohistochemistry.We compared the coexpression patterns of the entry receptor angiotensin-converting enzyme 2(ACE2)and the spike protein priming enzyme transmembrane serine protease(TMPRSS)/cathepsin L among the specimens.Results:The SARS-CoV-2 entry receptor ACE2 and the spike protein priming enzyme TMPRSS/cathepsin L were coexpressed by pericytes in brain tissue;this coexpression was confirmed by immunohistochemistry.In the nasal epithelium,ciliated cells and sustentacular cells exhibited strong coexpression of ACE2 and TMPRSS.Neurons and glia in the brain and nasal epithelium did not exhibit coexpression of ACE2 and TMPRSS.However,coexpression was present in ciliated cells,vascular smooth muscle cells,and fibroblasts in tracheal tissue;ciliated cells and goblet cells in bronchial tissue;and alveolar epithelium type 1 cells,AT2 cells,and ciliated cells in lung tissue.Conclusion:Neurological symptoms in patients with coronavirus disease 2019 could be associated with SARS-CoV-2 invasion across the blood-brain barrier via pericytes.Additionally,SARS-CoV-2-induced olfactory disorders could be the result of localized cell damage in the nasal epithelium.
文摘The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen’s hypergeometric series with unit argument,when one numerator parameter and one denominator parameter are negative integers.Further,using our truncated summation theorems,we obtain the Mellin transforms of the product of exponential function and Goursat’s truncated hypergeometric function.
文摘Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.
文摘In this paper some novel integrals associated with the product of classical Hermite＇s polynomials ∫-∞＋∞（x2）mexp（-x2）{Hr（x）}2dx,∫0∞exp（-x2）H2k（x）H2s＋1（x）dx,∫0∞exp（-x2）H2k（x）H2s（x）dx and ∫0∞exp（-x2）H2k＋1（x）H2s＋1（x）dx, are evaluated using hypergeometric approach and Laplace transform method, which is a different approach from the approaches given by the other authors in the field of spe- cial functions. Also the results may be of significant nature, and may yield numerous other interesting integrals involving the product of classical Hermite＇s polynomials by suitable simplifications of arbitrary parameters.
文摘A novel correlation-based filter is presented for de-noising functional magnetic resonance imaging (fMRI) data.Temporal correlation-based exponential weights are defined for spatial smoothing of the data,with bias reduction using estimated noise variance.The proposed scheme is tested on simulated and real fMRI data.Finally,the results are compared with conventional filters.The method is found to be effectively suppressing the Rician noise in fMRI data,while improving the SNR.
