Constructing a kind of cyclic displacement, we obtain the inverse of conjugate-Toeplitz matrix by the aid of Gohberg-Semencul type formula. The stability of the inverse formula is discussed. Numerical examples are giv...Constructing a kind of cyclic displacement, we obtain the inverse of conjugate-Toeplitz matrix by the aid of Gohberg-Semencul type formula. The stability of the inverse formula is discussed. Numerical examples are given to verify the feasibility of the inverse formula. We show how the analogue of our Gohberg-Semencul type formula leads to an efficient way to solve the conjugate-Toeplitz linear system of equations. It will be shown the number of real arithmetic operations is not more than known results. The corresponding conjugate-Hankel matrix is also considered.展开更多
Selective and sensitive detection of trace microRNA is important for early diagnosis of diseases due to its expression level related to diseases.Herein,a triple signal amplification strategy is developed for trace mic...Selective and sensitive detection of trace microRNA is important for early diagnosis of diseases due to its expression level related to diseases.Herein,a triple signal amplification strategy is developed for trace microRNA-21 (miRNA-21) detection by combining with target-triggered cyclic strand displacement reaction (TCSDR),hybridization chain reaction (HCR) and enzyme catalytic amplification.Four DNA hairpins(H1,H2,H3,H4) are employed to form an ultralong double-strand DNA (dsDNA) structure,which is initiated by target miRNA-21.As H3 and H4 are labeled with horseradish peroxidase (HRP),numerous HRPs are loaded on the long dsDNA,producing significantly enhanced electrocatalytic signals in the hydrogen peroxide (H_(2)O_(2)) and 3,3,5,5-tetramethylbenzidine (TMB) reaction strategy.Compared with single signal amplification,the triple signal amplification strategy shows higher electrochemical response,wider dynamic range and lower detection limit for miRNA-21 detection with excellent selectivity,reproducibility and stability.Taking advantage of the triple signal amplification strategy,the proposed electrochemical biosensor can detect miRNA-21 in 10 He La cell lysates,suggesting that it is a promising method for fruitful assay in clinical diagnosis.展开更多
基金Supported by the GRRC program of Gyeonggi Province(GRRC SUWON 2015-B4)Development of cloud Computing-based Intelligent Video Security Surveillance System with Active Tracking Technology
文摘Constructing a kind of cyclic displacement, we obtain the inverse of conjugate-Toeplitz matrix by the aid of Gohberg-Semencul type formula. The stability of the inverse formula is discussed. Numerical examples are given to verify the feasibility of the inverse formula. We show how the analogue of our Gohberg-Semencul type formula leads to an efficient way to solve the conjugate-Toeplitz linear system of equations. It will be shown the number of real arithmetic operations is not more than known results. The corresponding conjugate-Hankel matrix is also considered.
基金supported by the National Key Research and Development Program of China (No. 2017YFA0205302)the Natural Science Foundation of Jiangsu Province-Major Project (No. BK20212012)+2 种基金the National Natural Science Foundation of China (No. 21874071)the “Six Talents Peak” Foundation of Jiangsu Province (No. SWYY-046)the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD, No. YX030003)。
文摘Selective and sensitive detection of trace microRNA is important for early diagnosis of diseases due to its expression level related to diseases.Herein,a triple signal amplification strategy is developed for trace microRNA-21 (miRNA-21) detection by combining with target-triggered cyclic strand displacement reaction (TCSDR),hybridization chain reaction (HCR) and enzyme catalytic amplification.Four DNA hairpins(H1,H2,H3,H4) are employed to form an ultralong double-strand DNA (dsDNA) structure,which is initiated by target miRNA-21.As H3 and H4 are labeled with horseradish peroxidase (HRP),numerous HRPs are loaded on the long dsDNA,producing significantly enhanced electrocatalytic signals in the hydrogen peroxide (H_(2)O_(2)) and 3,3,5,5-tetramethylbenzidine (TMB) reaction strategy.Compared with single signal amplification,the triple signal amplification strategy shows higher electrochemical response,wider dynamic range and lower detection limit for miRNA-21 detection with excellent selectivity,reproducibility and stability.Taking advantage of the triple signal amplification strategy,the proposed electrochemical biosensor can detect miRNA-21 in 10 He La cell lysates,suggesting that it is a promising method for fruitful assay in clinical diagnosis.
