This paper deals with the stability of systems with discontinuous righthand side （with solutions in Filippov＇s sense） via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valu...This paper deals with the stability of systems with discontinuous righthand side （with solutions in Filippov＇s sense） via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valued derivative” of vector Lyapunov functions is introduced, some generalized comparison principles on discontinuous systems are shown. Furthermore, Lyapunov stability theory is developed for a class of discontinuous systems based on locally Lipschitz continuous and regular vector Lyapunov functions.展开更多
This paper aims at explaining the importance and function of the character Lena Grove in William Faulkner’s famous novel Light in August. The meaning of the title is explored by making comparisons between Lena and ot...This paper aims at explaining the importance and function of the character Lena Grove in William Faulkner’s famous novel Light in August. The meaning of the title is explored by making comparisons between Lena and other main characters.展开更多
AIM To develop a new scoring system, nutech functional scores(NFS) for assessing the patients with spinal cord injury(SCI).METHODS The conventional scale, American Spinal Injury Association's(ASIA) impairment scal...AIM To develop a new scoring system, nutech functional scores(NFS) for assessing the patients with spinal cord injury(SCI).METHODS The conventional scale, American Spinal Injury Association's(ASIA) impairment scale is a measure which precisely describes the severity of the SCI.However, it has various limitations which lead to incomplete assessment of SCI patients.We have developed a 63 point scoring system, i.e., NFS for patients suffering with SCI.A list of symptoms either common or rare that were found to be associated with SCI was recorded for each patient.On the basis of these lists, we have developed NFS.RESULTS These lists served as a base to prepare NFS, a 63 point positional(each symptom is sub-graded and get points based on position) and directional(moves in direction BAD → GOOD) scoring system.For non-progressive diseases, 1, 2, 3, 4, 5 denote worst, bad, moderate, good and best(normal), respectively.NFS for SCI has been divided into different groups based on the affected part of the body being assessed, i.e., motor assessment(shoulders, elbow, wrist, fingers-grasp, fingers-release, hip, knee, ankle and toe), sensory assessment, autonomic assessment, bed sore assessment and general assessment.As probability based studies required a range of(-1, 1) or at least the range of(0, 1) to be useful for real world analysis, the grades were converted to respective numeric values.CONCLUSION NFS can be considered as a unique tool to assess the improvement in patients with SCI as it overcomes the limitations of ASIA impairment scale.展开更多
The stability of a periodic oscillation and the global exponential class of recurrent neural networks with non-monotone activation functions and time-varying delays are analyzed. For two sets of activation functions, ...The stability of a periodic oscillation and the global exponential class of recurrent neural networks with non-monotone activation functions and time-varying delays are analyzed. For two sets of activation functions, some algebraic criteria for ascertaining global exponential periodicity and global exponential stability of the class of recurrent neural networks are derived by using the comparison principle and the theory of monotone operator. These conditions are easy to check in terms of system parameters. In addition, we provide a new and efficacious method for the qualitative analysis of various neural networks.展开更多
Objective:An increasing number of studies indicate that autophagy plays an important role in the pathogenesis of spinal cord injury,and that regulating autophagy can enhance recovery from spinal cord injury.However,th...Objective:An increasing number of studies indicate that autophagy plays an important role in the pathogenesis of spinal cord injury,and that regulating autophagy can enhance recovery from spinal cord injury.However,the effect of regulating autophagy and whether autophagy is detrimental or beneficial after spinal cord injury remain unclear.Therefore,in this study we evaluated the effects of autophagy regulation on spinal cord injury in rats by direct and indirect comparison,in an effort to provide a basis for further research.Data source:Relevant literature published from inception to February 1,2018 were included by searching Wanfang,CNKI,Web of Science,MEDLINE(OvidSP),PubMed and Google Scholar in English and Chinese.The keywords included"autophagy","spinal cord injury",and"rat".Data selection:The literature included in vivo experimental studies on autophagy regulation in the treatment of spinal cord injury(including intervention pre-and post-spinal cord injury).Meta-analyses were conducted at different time points to compare the therapeutic effects of promoting or inhibiting autophagy,and subgroup analyses were also conducted.Outcome measure:Basso,Beattie,and Bresnahan scores.Results:Of the 622 studies,33 studies of median quality were included in the analyses.Basso,Beattie,and Bresnahan scores were higher at 1 day(MD=1.80,95%CI:0.81-2.79,P=0.0004),3 days(MD=0.92,95%CI:0.72-1.13,P<0.00001),1 week(MD=2.39,95%CI:1.85-2.92,P<0.00001),2 weeks(MD=3.26,95%CI:2.40-4.13,P<0.00001),3 weeks(MD=3.13,95%CI:2.51-3.75,P<0.00001)and 4 weeks(MD=3.18,95%CI:2.43-3.92,P<0.00001)after spinal cord injury with upregulation of autophagy compared with the control group(drug solvent control,such as saline group).Basso,Beattie,and Bresnahan scores were higher at 1 day(MD=6.48,95%CI:5.83-7.13,P<0.00001),2 weeks(MD=2.43,95%CI:0.79-4.07,P=0.004),3 weeks(MD=2.96,95%CI:0.09-5.84,P=0.04)and 4 weeks(MD=4.41,95%CI:1.08-7.75,P=0.01)after spinal cord injury with downregulation of autophagy compared with the control group.Indirect comparison of upregulation and downregulation of autophagy showed no differences in Basso,Beattie,and Bresnahan scores at 1 day(MD=-4.68,95%CI:-5.840 to-3.496,P=0.94644),3 days(MD=-0.28,95%CI:-2.231-1.671,P=0.99448),1 week(MD=1.83,95%CI:0.0076-3.584,P=0.94588),2 weeks(MD=0.81,95%CI:-0.850-2.470,P=0.93055),3 weeks(MD=0.17,95%Cl:-2.771-3.111,P=0.99546)or 4 weeks(MD=-1.23,95%Cl:-4.647-2.187,P=0.98264)compared with the control group.Conclusion:Regulation of autophagy improves neurological function,whether it is upregulated or downregulated.There was no difference between upregulation and downregulation of autophagy in the treatment of spinal cord injury.The variability in results among the studies may be associated with differences in research methods,the lack of clearly defined autophagy characteristics after spinal cord injury,and the limited autophagy monitoring techniques.Thus,methods should be standardized,and the dynamic regulation of autophagy should be examined in future studies.展开更多
文摘This paper deals with the stability of systems with discontinuous righthand side （with solutions in Filippov＇s sense） via locally Lipschitz continuous and regular vector Lyapunov functions. A new type of “set-valued derivative” of vector Lyapunov functions is introduced, some generalized comparison principles on discontinuous systems are shown. Furthermore, Lyapunov stability theory is developed for a class of discontinuous systems based on locally Lipschitz continuous and regular vector Lyapunov functions.
文摘This paper aims at explaining the importance and function of the character Lena Grove in William Faulkner’s famous novel Light in August. The meaning of the title is explored by making comparisons between Lena and other main characters.
文摘AIM To develop a new scoring system, nutech functional scores(NFS) for assessing the patients with spinal cord injury(SCI).METHODS The conventional scale, American Spinal Injury Association's(ASIA) impairment scale is a measure which precisely describes the severity of the SCI.However, it has various limitations which lead to incomplete assessment of SCI patients.We have developed a 63 point scoring system, i.e., NFS for patients suffering with SCI.A list of symptoms either common or rare that were found to be associated with SCI was recorded for each patient.On the basis of these lists, we have developed NFS.RESULTS These lists served as a base to prepare NFS, a 63 point positional(each symptom is sub-graded and get points based on position) and directional(moves in direction BAD → GOOD) scoring system.For non-progressive diseases, 1, 2, 3, 4, 5 denote worst, bad, moderate, good and best(normal), respectively.NFS for SCI has been divided into different groups based on the affected part of the body being assessed, i.e., motor assessment(shoulders, elbow, wrist, fingers-grasp, fingers-release, hip, knee, ankle and toe), sensory assessment, autonomic assessment, bed sore assessment and general assessment.As probability based studies required a range of(-1, 1) or at least the range of(0, 1) to be useful for real world analysis, the grades were converted to respective numeric values.CONCLUSION NFS can be considered as a unique tool to assess the improvement in patients with SCI as it overcomes the limitations of ASIA impairment scale.
基金Supported by the Natural Science Foundation of Hubei Province (2007ABA124)the Youth Project Foundation of Hubei Province Education Department (Q200722001)the Major Foundation of Hubei Province Education Department (D200722002)
文摘The stability of a periodic oscillation and the global exponential class of recurrent neural networks with non-monotone activation functions and time-varying delays are analyzed. For two sets of activation functions, some algebraic criteria for ascertaining global exponential periodicity and global exponential stability of the class of recurrent neural networks are derived by using the comparison principle and the theory of monotone operator. These conditions are easy to check in terms of system parameters. In addition, we provide a new and efficacious method for the qualitative analysis of various neural networks.
基金supported by the Beijing Excellent Talent Training Foundation of China,No.2017000021469G215(to DZhang)the Natural Science Foundation of Capital Medical University of China,No.PYZ2018081(to DZhang)the Youth Science Foundation of Beijing Tiantan Hospital of China,No.2016-YQN-14(to DZhang)
文摘Objective:An increasing number of studies indicate that autophagy plays an important role in the pathogenesis of spinal cord injury,and that regulating autophagy can enhance recovery from spinal cord injury.However,the effect of regulating autophagy and whether autophagy is detrimental or beneficial after spinal cord injury remain unclear.Therefore,in this study we evaluated the effects of autophagy regulation on spinal cord injury in rats by direct and indirect comparison,in an effort to provide a basis for further research.Data source:Relevant literature published from inception to February 1,2018 were included by searching Wanfang,CNKI,Web of Science,MEDLINE(OvidSP),PubMed and Google Scholar in English and Chinese.The keywords included"autophagy","spinal cord injury",and"rat".Data selection:The literature included in vivo experimental studies on autophagy regulation in the treatment of spinal cord injury(including intervention pre-and post-spinal cord injury).Meta-analyses were conducted at different time points to compare the therapeutic effects of promoting or inhibiting autophagy,and subgroup analyses were also conducted.Outcome measure:Basso,Beattie,and Bresnahan scores.Results:Of the 622 studies,33 studies of median quality were included in the analyses.Basso,Beattie,and Bresnahan scores were higher at 1 day(MD=1.80,95%CI:0.81-2.79,P=0.0004),3 days(MD=0.92,95%CI:0.72-1.13,P<0.00001),1 week(MD=2.39,95%CI:1.85-2.92,P<0.00001),2 weeks(MD=3.26,95%CI:2.40-4.13,P<0.00001),3 weeks(MD=3.13,95%CI:2.51-3.75,P<0.00001)and 4 weeks(MD=3.18,95%CI:2.43-3.92,P<0.00001)after spinal cord injury with upregulation of autophagy compared with the control group(drug solvent control,such as saline group).Basso,Beattie,and Bresnahan scores were higher at 1 day(MD=6.48,95%CI:5.83-7.13,P<0.00001),2 weeks(MD=2.43,95%CI:0.79-4.07,P=0.004),3 weeks(MD=2.96,95%CI:0.09-5.84,P=0.04)and 4 weeks(MD=4.41,95%CI:1.08-7.75,P=0.01)after spinal cord injury with downregulation of autophagy compared with the control group.Indirect comparison of upregulation and downregulation of autophagy showed no differences in Basso,Beattie,and Bresnahan scores at 1 day(MD=-4.68,95%CI:-5.840 to-3.496,P=0.94644),3 days(MD=-0.28,95%CI:-2.231-1.671,P=0.99448),1 week(MD=1.83,95%CI:0.0076-3.584,P=0.94588),2 weeks(MD=0.81,95%CI:-0.850-2.470,P=0.93055),3 weeks(MD=0.17,95%Cl:-2.771-3.111,P=0.99546)or 4 weeks(MD=-1.23,95%Cl:-4.647-2.187,P=0.98264)compared with the control group.Conclusion:Regulation of autophagy improves neurological function,whether it is upregulated or downregulated.There was no difference between upregulation and downregulation of autophagy in the treatment of spinal cord injury.The variability in results among the studies may be associated with differences in research methods,the lack of clearly defined autophagy characteristics after spinal cord injury,and the limited autophagy monitoring techniques.Thus,methods should be standardized,and the dynamic regulation of autophagy should be examined in future studies.
