Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and eve...Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and even in quantum mechanics. But all these equations are most often studied without worrying about what would happen if this equation were maintained, that is to say, had a second member synonymous with an external force. It is true that on a physical level, such equations can be considered as describing the generation of waves on a waveguide using an external force. However, the in-depth analysis of this aspect is not at the center of our reflection in this article, but for us, it is a question of proposing exact solutions to this type of equation and above all proposing the general form of the external force so that the obtaining exact solutions is possible.展开更多
目的观察针药并用治疗腹泻型肠易激综合征(diarrhea-irritable bowel syndrome,IBS-D)肝郁脾虚证的临床疗效以及对患者血清5-羟色胺(5-hydroxytryptamine,5-HT)、降钙素基因相关肽(calcitonin gene related peptide,CGRP)以及内皮素(end...目的观察针药并用治疗腹泻型肠易激综合征(diarrhea-irritable bowel syndrome,IBS-D)肝郁脾虚证的临床疗效以及对患者血清5-羟色胺(5-hydroxytryptamine,5-HT)、降钙素基因相关肽(calcitonin gene related peptide,CGRP)以及内皮素(endothelin,ET)的影响。方法选择60例IBS-D(肝郁脾虚证)患者作为研究对象,将患者随机分为观察组和对照组,每组30例。观察组患者采用针刺配合白术芍药散加减进行治疗,对照组仅采用针刺治疗。观察记录两组患者治疗总有效率、治疗前后中医临床症状积分差异以及IBS-D治疗前后专用生活质量量表(diarrhea-irritable bowel syndrome quality of life scale,IBS-QOL)评分差异以及两组患者治疗前后血清中5-HT、CGRP以及ET水平差异。结果观察组总有效率为83.3%,显著高于对照组的63.3%(P<0.05);治疗前两组患者中医临床症状总积分、各临床症状症状积分及IBS-QOL评分比较差异均无统计学意义(P>0.05);两组患者治疗后中医临床症状总积分、各临床症状症候积分及IBS-QOL评分与同组治疗前比较均显著降低(P<0.05);治疗后观察组中医临床症状总积分、IBS-QOL评分及治疗后3个月随访中医临床症状总积分、IBS-QOL评分与对照组比较均显著降低(P<0.05);治疗后观察组各种临床症状症状积分与对照组比较,均显著降低(P<0.05);治疗前两组患者血清中5-HT、CGRP以及ET水平比较差异无统计学意义(P>0.05);两组患者治疗后5-HT、CGRP以及ET水平与同组治疗前比较均显著降低(P<0.05);治疗后观察组5-HT、CGRP以及ET水平与对照组比较,显著降低(P<0.05)。结论针药并用治疗IBS-D(肝郁脾虚证)能够有效缓解患者临床症状,提高其生活质量,其作用机制可能是通过降低患者血清中的5-HT、CGRP以及ET水平来达到治疗的作用。展开更多
文摘Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and even in quantum mechanics. But all these equations are most often studied without worrying about what would happen if this equation were maintained, that is to say, had a second member synonymous with an external force. It is true that on a physical level, such equations can be considered as describing the generation of waves on a waveguide using an external force. However, the in-depth analysis of this aspect is not at the center of our reflection in this article, but for us, it is a question of proposing exact solutions to this type of equation and above all proposing the general form of the external force so that the obtaining exact solutions is possible.
文摘目的观察针药并用治疗腹泻型肠易激综合征(diarrhea-irritable bowel syndrome,IBS-D)肝郁脾虚证的临床疗效以及对患者血清5-羟色胺(5-hydroxytryptamine,5-HT)、降钙素基因相关肽(calcitonin gene related peptide,CGRP)以及内皮素(endothelin,ET)的影响。方法选择60例IBS-D(肝郁脾虚证)患者作为研究对象,将患者随机分为观察组和对照组,每组30例。观察组患者采用针刺配合白术芍药散加减进行治疗,对照组仅采用针刺治疗。观察记录两组患者治疗总有效率、治疗前后中医临床症状积分差异以及IBS-D治疗前后专用生活质量量表(diarrhea-irritable bowel syndrome quality of life scale,IBS-QOL)评分差异以及两组患者治疗前后血清中5-HT、CGRP以及ET水平差异。结果观察组总有效率为83.3%,显著高于对照组的63.3%(P<0.05);治疗前两组患者中医临床症状总积分、各临床症状症状积分及IBS-QOL评分比较差异均无统计学意义(P>0.05);两组患者治疗后中医临床症状总积分、各临床症状症候积分及IBS-QOL评分与同组治疗前比较均显著降低(P<0.05);治疗后观察组中医临床症状总积分、IBS-QOL评分及治疗后3个月随访中医临床症状总积分、IBS-QOL评分与对照组比较均显著降低(P<0.05);治疗后观察组各种临床症状症状积分与对照组比较,均显著降低(P<0.05);治疗前两组患者血清中5-HT、CGRP以及ET水平比较差异无统计学意义(P>0.05);两组患者治疗后5-HT、CGRP以及ET水平与同组治疗前比较均显著降低(P<0.05);治疗后观察组5-HT、CGRP以及ET水平与对照组比较,显著降低(P<0.05)。结论针药并用治疗IBS-D(肝郁脾虚证)能够有效缓解患者临床症状,提高其生活质量,其作用机制可能是通过降低患者血清中的5-HT、CGRP以及ET水平来达到治疗的作用。