Many practical problems, such as those from electronic engineering, mechanicalengineering, ecological engineering, aerospace engineering and so on, need to bedescribed by dynamic equations on time scales, so it is imp...Many practical problems, such as those from electronic engineering, mechanicalengineering, ecological engineering, aerospace engineering and so on, need to bedescribed by dynamic equations on time scales, so it is important in theory andpractical significance to study these equations. In this paper, the oscillation andasymptotic behavior of third-order nonlinear neutral delay dynamic equations ontime scales are studied by using generalized Riccati transformation technique, integralaveraging methods and comparison theorems. The main purpose of this paperis to establish some new oscillation criteria for such dynamic equations. The newKamenev criteria and Philos criteria are given, and an example is considered toillustrate our main results.展开更多
In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscill...In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results not only unify the oscillation of second order nonlinear differential and difference equations but also can be applied to different types of time scales with sup T = ∞. Our results improve and extend some known results in the literature. Examples which dwell upon the importance of our results are also included.展开更多
In this present study, we predicted the neutralizing epitope of a modeled H5N1 hemagglutinin 1046T when interacted with a modeled monoclonal antibody variable fragment 8H5Fv using molecular dynamics simulation. Follow...In this present study, we predicted the neutralizing epitope of a modeled H5N1 hemagglutinin 1046T when interacted with a modeled monoclonal antibody variable fragment 8H5Fv using molecular dynamics simulation. Following the production run of the molecular dynamics simulation, we observed the average change of solvent accessible surface of the antigen alongside the formation of hydrogen bonds between the two structures during the simulation. Based on the acquired data, we predicted the neutralizing epitope of the 1046T antigen to be consisted of residues Asp 84, Glu85, Phe86, Ile87, Asn88, Val89, Pro90, Ile132, Ser136, Val147, Pro152, Tyr153, Leu154, Arg161, and Tyr268. By calculating the RMSD of the Cα backbone chain of the complex during the simulation we found the structure to be generally stable suggesting a well maintained steric hindrance, while RMSD calculation of the predicted neutralizing epitope backbone suggests the stability of the neutralizing epitope itself.展开更多
Based on Riccati transformation and the inequality technique, we establish some new sufficient conditions for oscillation of the second-order neutral delay dynamic equations on time scales. Our results not only extend...Based on Riccati transformation and the inequality technique, we establish some new sufficient conditions for oscillation of the second-order neutral delay dynamic equations on time scales. Our results not only extend and improve some known theorems, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. At the end of this paper, we give an example to illustrate the main results.展开更多
The oscillation for a class of second order nonlinear variable delay dynamic equation on time scales with nonlinear neutral term and damping term was discussed in this article. By using the generalized Riccati techniq...The oscillation for a class of second order nonlinear variable delay dynamic equation on time scales with nonlinear neutral term and damping term was discussed in this article. By using the generalized Riccati technique, integral averaging technique and the time scales theory, some new sufficient conditions for oscillation of the equation are proposed. These results generalize and extend many known results for second order dynamic equations. Some examples are given to illustrate the main results of this article.展开更多
This paper is concerned with the oscillatory behavior of a class of third-order nonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequali...This paper is concerned with the oscillatory behavior of a class of third-order nonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscillation criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results.展开更多
In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillator...In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillatory solutions for general and which means that we allow oscillatory and . We give some examples to illustrate the obtained results.展开更多
目的探讨Dynesys内固定系统治疗腰椎间盘突出症(LDH)的安全性和短期疗效。方法选择LDH患者68例分为TLIF对照组(39例)和Dynesys试验组(29例)。比较2组手术前后疼痛视觉模拟评分(VAS)、功能障碍指数(ODI)评估临床治疗效果。测量手术前后2...目的探讨Dynesys内固定系统治疗腰椎间盘突出症(LDH)的安全性和短期疗效。方法选择LDH患者68例分为TLIF对照组(39例)和Dynesys试验组(29例)。比较2组手术前后疼痛视觉模拟评分(VAS)、功能障碍指数(ODI)评估临床治疗效果。测量手术前后2组手术节段和头侧相邻节段的椎间活动度(Range of motion,ROM),评估椎体间的稳定性。比较手术前后2组头侧相邻节段椎间小关节间隙距离及椎间盘髓核退变表现(Woodend分级),评估头侧临近节段退变情况。测量试验组手术节段椎间盘表观扩散系数(apparent diffusion coefficient,ADC),评估试验组固定节段椎间盘退变程度。结果随访时间(26.3±2.1)个月。2种方法术后末次随访,ODI和VAS评分均较术前有显著改善,但2组间差异无统计学意义(P>0.05)。试验组在固定节段仍保持活动度并能够限制相邻节段屈伸活动,2组间比较差异性有统计学意义(P<0.05)。比较手术前后试验组ADC值,差异无统计学意义(P>0.05)。末次随访,对照组头侧相邻节段椎间小关节间隙距离及该节段髓核信号较术前差异有统计学意义(P<0.05)。组间比较差异有统计学意义(P<0.05)。结论Dynesys固定系统在保留了手术节段椎体间活动度的同时,延迟头侧相邻节段的退化。其治疗椎间盘突出症的短期疗效令人满意。展开更多
文摘Many practical problems, such as those from electronic engineering, mechanicalengineering, ecological engineering, aerospace engineering and so on, need to bedescribed by dynamic equations on time scales, so it is important in theory andpractical significance to study these equations. In this paper, the oscillation andasymptotic behavior of third-order nonlinear neutral delay dynamic equations ontime scales are studied by using generalized Riccati transformation technique, integralaveraging methods and comparison theorems. The main purpose of this paperis to establish some new oscillation criteria for such dynamic equations. The newKamenev criteria and Philos criteria are given, and an example is considered toillustrate our main results.
文摘In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results not only unify the oscillation of second order nonlinear differential and difference equations but also can be applied to different types of time scales with sup T = ∞. Our results improve and extend some known results in the literature. Examples which dwell upon the importance of our results are also included.
文摘In this present study, we predicted the neutralizing epitope of a modeled H5N1 hemagglutinin 1046T when interacted with a modeled monoclonal antibody variable fragment 8H5Fv using molecular dynamics simulation. Following the production run of the molecular dynamics simulation, we observed the average change of solvent accessible surface of the antigen alongside the formation of hydrogen bonds between the two structures during the simulation. Based on the acquired data, we predicted the neutralizing epitope of the 1046T antigen to be consisted of residues Asp 84, Glu85, Phe86, Ile87, Asn88, Val89, Pro90, Ile132, Ser136, Val147, Pro152, Tyr153, Leu154, Arg161, and Tyr268. By calculating the RMSD of the Cα backbone chain of the complex during the simulation we found the structure to be generally stable suggesting a well maintained steric hindrance, while RMSD calculation of the predicted neutralizing epitope backbone suggests the stability of the neutralizing epitope itself.
文摘Based on Riccati transformation and the inequality technique, we establish some new sufficient conditions for oscillation of the second-order neutral delay dynamic equations on time scales. Our results not only extend and improve some known theorems, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. At the end of this paper, we give an example to illustrate the main results.
基金Supported by the Scientific Research Fund of Hunan Provincial Education Department(09A082)
文摘The oscillation for a class of second order nonlinear variable delay dynamic equation on time scales with nonlinear neutral term and damping term was discussed in this article. By using the generalized Riccati technique, integral averaging technique and the time scales theory, some new sufficient conditions for oscillation of the equation are proposed. These results generalize and extend many known results for second order dynamic equations. Some examples are given to illustrate the main results of this article.
基金Supported by the NNSF of China(11071222)Supported by the NSF of Hunan Province(12JJ6006)Supported by Scientific Research Fund of Education Department of Guangxi Zhuang Autonomous Region(2013YB223)
文摘This paper is concerned with the oscillatory behavior of a class of third-order nonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscillation criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results.
文摘In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillatory solutions for general and which means that we allow oscillatory and . We give some examples to illustrate the obtained results.
文摘目的探讨Dynesys内固定系统治疗腰椎间盘突出症(LDH)的安全性和短期疗效。方法选择LDH患者68例分为TLIF对照组(39例)和Dynesys试验组(29例)。比较2组手术前后疼痛视觉模拟评分(VAS)、功能障碍指数(ODI)评估临床治疗效果。测量手术前后2组手术节段和头侧相邻节段的椎间活动度(Range of motion,ROM),评估椎体间的稳定性。比较手术前后2组头侧相邻节段椎间小关节间隙距离及椎间盘髓核退变表现(Woodend分级),评估头侧临近节段退变情况。测量试验组手术节段椎间盘表观扩散系数(apparent diffusion coefficient,ADC),评估试验组固定节段椎间盘退变程度。结果随访时间(26.3±2.1)个月。2种方法术后末次随访,ODI和VAS评分均较术前有显著改善,但2组间差异无统计学意义(P>0.05)。试验组在固定节段仍保持活动度并能够限制相邻节段屈伸活动,2组间比较差异性有统计学意义(P<0.05)。比较手术前后试验组ADC值,差异无统计学意义(P>0.05)。末次随访,对照组头侧相邻节段椎间小关节间隙距离及该节段髓核信号较术前差异有统计学意义(P<0.05)。组间比较差异有统计学意义(P<0.05)。结论Dynesys固定系统在保留了手术节段椎体间活动度的同时,延迟头侧相邻节段的退化。其治疗椎间盘突出症的短期疗效令人满意。
