Atrial fibrillation(AF)is the most common arrhythmia in clinical setting and has been increasingly prevalent due to the aging population.AF is associated with a three to fivefold increased risk of stroke.Treatment opt...Atrial fibrillation(AF)is the most common arrhythmia in clinical setting and has been increasingly prevalent due to the aging population.AF is associated with a three to fivefold increased risk of stroke.Treatment options include pharmacological and electrical cardioversion,each carrying specific risks.AF may resolve spontaneously,but often recurs,making a“watch-andwait”strategy a reasonable approach to avoid unnecessary antiarrhythmic therapy.展开更多
The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly fo...The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly focuses on the following three key aspects.First,the classical ensemble method is adopted to conduct a comprehensive and in-depth analysis of two-dimensional(2D)matter–wave pulses in Bose–Fermi mixed gases(including linear and nonlinear pulses).Second,under the strict constraints of unitary systems,a coupled Kd V equation is successfully derived,and the prolongation structure theory is skillfully used to carry out detailed calculations and analyses on this equation.Thus,the prolongation algebra of this equation is accurately determined,and the corresponding Lax pair is rigorously derived.Finally,based on the carefully obtained Lax pair from the prolongation structure theory,the soliton solutions of this equation are further analyzed in depth,and intuitive images of each soliton solution are carefully drawn.This lays a solid foundation for subsequent detailed research on these soliton characteristics and provides great convenience.展开更多
目的:系统评价髋部骨折病人住院时间延长发生率及影响因素。方法:计算机检索中国知网、万方数据库、中国生物医学文献数据库、PubMed、Cochrane Library、Web of Science、EMbase中关于髋部骨折病人住院时间延长发生率及影响因素的病例...目的:系统评价髋部骨折病人住院时间延长发生率及影响因素。方法:计算机检索中国知网、万方数据库、中国生物医学文献数据库、PubMed、Cochrane Library、Web of Science、EMbase中关于髋部骨折病人住院时间延长发生率及影响因素的病例对照研究和队列研究,检索时限为建库至2025年7月2日。由2名研究者独立进行文献的筛选、资料提取和质量评价。采用RevMan 5.3和Stata 18.0软件进行Meta分析。结果:纳入14篇文献,涉及105 874例髋部骨折病人。Meta分析结果显示,髋部骨折病人住院时间延长的发生率为31%[95%CI(0.23,0.38)]。美国麻醉医师学会分级、术前等待时间、低蛋白血症、肺部感染、性别、脑血管疾病、高血压、糖尿病、心力衰竭、贫血为髋部骨折病人住院时间延长的影响因素(P<0.001)。结论:临床医护人员可参考本研究结果中的影响因素开展针对性的干预措施,以减少髋部骨折病人发生住院时间延长。展开更多
AIM To determine the prevalence of QT prolongation in a large series of end stage liver disease(ESLD)patients and its association to clinical variables and mortality.METHODS The QT interval was measured and corrected ...AIM To determine the prevalence of QT prolongation in a large series of end stage liver disease(ESLD)patients and its association to clinical variables and mortality.METHODS The QT interval was measured and corrected for heart rate for each patient,with a prolonged QT cutoff defined as QT>450 ms for males and QT>470 ms for females.Multiple clinical variables were evaluated including sex,age,serum sodium,international normalized ratio,creatinine,total bilirubin,beta-blocker use,Model for EndStage Liver Disease(MELD),MELD-Na,and etiology of liver disease.RESULTS Among 406 ESLD patients analyzed,207(51.0%)had QT prolongation.The only clinical variable associated with QT prolongation was male gender(OR=3.04,95%CI:2.01-4.60,P<0.001).During the study period,187patients(46.1%)died.QT prolongation was a significant independent predictor of mortality(OR=1.69,95%CI:1.03-2.77,P=0.039).In addition,mortality was also associated with viral etiology of ESLD,elevated MELD score and its components(P<0.05 for all).No significant reversibility in the QT interval was seen after liver transplantation.CONCLUSION QT prolongation was commonly encountered in an ESLD population,especially in males,and served as a strong independent marker for increased mortality in ESLD patients.展开更多
Based on noncommutative differential calculus, we present a theory of prolongation structure for semidiscrete non/inear evolution equations. As an illustrative example, a semi-discrete model of the non/inear SchrSding...Based on noncommutative differential calculus, we present a theory of prolongation structure for semidiscrete non/inear evolution equations. As an illustrative example, a semi-discrete model of the non/inear SchrSdinger equation is discussed in terms of this theory and the corresponding Lax pairs are also given.展开更多
Based upon the covariant prolongation structures theory, we construct the sl（2, R）×R（p） prolongation structure for Konno-Asai-Kakuhata equation. By taking two and one-dimensional prolongation spaces, we obtai...Based upon the covariant prolongation structures theory, we construct the sl（2, R）×R（p） prolongation structure for Konno-Asai-Kakuhata equation. By taking two and one-dimensional prolongation spaces, we obtain the inverse scattering equations given by Konno et al. and the corresponding Riccati equation. The Baecklund transformations are also presented.展开更多
In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. Prom the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquis...In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. Prom the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable couplings of the KdV equation.展开更多
The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based...The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based on the obtained prolongation structure, a Lie algebra with five parameters is constructed. Under certain conditions, a Lie algebra representation and three kinds of Lax pairs for the variable coefficient KdV equation are derived.展开更多
The Wahlquist-Estabrook （WE） prolongation structures of modified Boussi-nesq （MB） system are studied from the coverings point of view. The realizations and classifications of one-dimensional coverings of this syst...The Wahlquist-Estabrook （WE） prolongation structures of modified Boussi-nesq （MB） system are studied from the coverings point of view. The realizations and classifications of one-dimensional coverings of this system are obtained completely. More-over the sufficient and necessary conditions for a vector field to be a nonlocal symmetry of this system are also demonstrated in the WE prolongation structures.展开更多
We investigate the coupled inhomogeneous nonlinear Schrodinger equation by the covariant prolongationstructure theory, and obtain its Lax's representation. Moreover, we present the corresponding Riccati equations,...We investigate the coupled inhomogeneous nonlinear Schrodinger equation by the covariant prolongationstructure theory, and obtain its Lax's representation. Moreover, we present the corresponding Riccati equations, Backlundtransformation, and one-soliton solution.展开更多
文摘Atrial fibrillation(AF)is the most common arrhythmia in clinical setting and has been increasingly prevalent due to the aging population.AF is associated with a three to fivefold increased risk of stroke.Treatment options include pharmacological and electrical cardioversion,each carrying specific risks.AF may resolve spontaneously,but often recurs,making a“watch-andwait”strategy a reasonable approach to avoid unnecessary antiarrhythmic therapy.
基金Project supported by the National Natural Science Foundation of China(Grant No.12261072)。
文摘The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly focuses on the following three key aspects.First,the classical ensemble method is adopted to conduct a comprehensive and in-depth analysis of two-dimensional(2D)matter–wave pulses in Bose–Fermi mixed gases(including linear and nonlinear pulses).Second,under the strict constraints of unitary systems,a coupled Kd V equation is successfully derived,and the prolongation structure theory is skillfully used to carry out detailed calculations and analyses on this equation.Thus,the prolongation algebra of this equation is accurately determined,and the corresponding Lax pair is rigorously derived.Finally,based on the carefully obtained Lax pair from the prolongation structure theory,the soliton solutions of this equation are further analyzed in depth,and intuitive images of each soliton solution are carefully drawn.This lays a solid foundation for subsequent detailed research on these soliton characteristics and provides great convenience.
文摘AIM To determine the prevalence of QT prolongation in a large series of end stage liver disease(ESLD)patients and its association to clinical variables and mortality.METHODS The QT interval was measured and corrected for heart rate for each patient,with a prolonged QT cutoff defined as QT>450 ms for males and QT>470 ms for females.Multiple clinical variables were evaluated including sex,age,serum sodium,international normalized ratio,creatinine,total bilirubin,beta-blocker use,Model for EndStage Liver Disease(MELD),MELD-Na,and etiology of liver disease.RESULTS Among 406 ESLD patients analyzed,207(51.0%)had QT prolongation.The only clinical variable associated with QT prolongation was male gender(OR=3.04,95%CI:2.01-4.60,P<0.001).During the study period,187patients(46.1%)died.QT prolongation was a significant independent predictor of mortality(OR=1.69,95%CI:1.03-2.77,P=0.039).In addition,mortality was also associated with viral etiology of ESLD,elevated MELD score and its components(P<0.05 for all).No significant reversibility in the QT interval was seen after liver transplantation.CONCLUSION QT prolongation was commonly encountered in an ESLD population,especially in males,and served as a strong independent marker for increased mortality in ESLD patients.
基金The project supported by Tianyuan Foundation for Mathematics under Grant No. 10626016 of National Natural Science Foundation of China, China Postdoctoral Science Foundation, Beijing Jiao-Wei Key Project under Grant No. KZ 200310028010, and National Natural Science Foundation of China under Grant No. 10375038
文摘Based on noncommutative differential calculus, we present a theory of prolongation structure for semidiscrete non/inear evolution equations. As an illustrative example, a semi-discrete model of the non/inear SchrSdinger equation is discussed in terms of this theory and the corresponding Lax pairs are also given.
文摘Based upon the covariant prolongation structures theory, we construct the sl（2, R）×R（p） prolongation structure for Konno-Asai-Kakuhata equation. By taking two and one-dimensional prolongation spaces, we obtain the inverse scattering equations given by Konno et al. and the corresponding Riccati equation. The Baecklund transformations are also presented.
基金Project supported by the Scientific Research Fundation of the Education Department of Liaoning Province,China(GrantNo.L2010513)the China Postdoctoral Science Foundation(Grant No.2011M500404)
文摘In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. Prom the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable couplings of the KdV equation.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.10735030and90718041)the Shanghai Leading Academic Discipline Project,China(Grant No.B412)+1 种基金the Program for Changjiang Scholars,the Innovative Research Team in University,Ministry of Education of China(Grant No.IRT0734)the K.C.Wong Magna Fund in Ningbo University,China
文摘The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based on the obtained prolongation structure, a Lie algebra with five parameters is constructed. Under certain conditions, a Lie algebra representation and three kinds of Lax pairs for the variable coefficient KdV equation are derived.
文摘The Wahlquist-Estabrook （WE） prolongation structures of modified Boussi-nesq （MB） system are studied from the coverings point of view. The realizations and classifications of one-dimensional coverings of this system are obtained completely. More-over the sufficient and necessary conditions for a vector field to be a nonlocal symmetry of this system are also demonstrated in the WE prolongation structures.
基金Supported by Beijing Jiao-Wei Key Project KZ200810028013the Natural Science Foundation of China under Grant No. 10871135
文摘We investigate the coupled inhomogeneous nonlinear Schrodinger equation by the covariant prolongationstructure theory, and obtain its Lax's representation. Moreover, we present the corresponding Riccati equations, Backlundtransformation, and one-soliton solution.
