In this paper, a numerical method for solving the optimal control （OC） problems is presented. The method is enlightened by the Chebyshev-Legendre （CL） method for solving the partial differential equations （PDEs）...In this paper, a numerical method for solving the optimal control （OC） problems is presented. The method is enlightened by the Chebyshev-Legendre （CL） method for solving the partial differential equations （PDEs）. The Legendre expansions are used to approximate both the control and the state functions. The constraints are discretized over the Chebyshev-Gauss-Lobatto （CGL） collocation points. A Legendre technique is used to approximate the integral involved in the performance index. The OC problem is changed into an equivalent nonlinear programming problem which is directly solved. The fast Legendre transform is employed to reduce the computation time. Several further illustrative examples demonstrate the efficiency of the proposed method.展开更多
文摘目的 探讨CONCERT-CL闭环靶控输注系统在腹腔镜胃肠手术患者中的应用效果及对患者术后胃肠功能和免疫功能的影响。方法 选取2022年8月至2023年5月上海市徐汇区中心医院收治的80例腹腔镜胃肠手术患者作为研究对象,按随机数表法分为观察组和对照组各40例。两组患者均采用相同的麻醉方案,但观察组患者采用CONCERT-CL闭环靶控输注系统进行麻醉管理,而对照组患者则采用开放式麻醉维持。比较两组患者的围术期相关指标、胃肠功能和围术期白细胞分化抗原(CD) TT细胞数量和自然杀伤细胞(NK)细胞数量,同时比较两组患者术后不良反应发生情况。结果 观察组患者的手术时间、麻醉时间分别为(183.60±30.15) min、(206.69±10.54) min,对照组分别为(189.12±43.85) min、(211.65±16.83) min,差异均无统计学意义(P>0.05);观察组患者术中丙泊酚用量和顺式阿曲库铵用量分别为(13.34±2.00) mg/kg、(0.26±0.09) mg/kg,明显低于对照组的(15.96±1.41) mg/kg、(0.35±0.11) mg/kg,拔管即刻警觉-镇静(OAA/S)评分和术中BIS时间为40~60的占比分别为(3.46±0.25)分、(82.60±4.22)%,明显高于对照组的(3.12±0.46)分、(64.02±3.65)%,差异均有统计学意义(P<0.05);观察组和对照组患者的肠鸣音恢复[(22.60±4.52) h vs (30.57±6.84) h]、腹痛缓解[(26.88±4.11) h vs (30.17±2.94) h]、术后首次排气时间[(32.69±4.25) h vs (44.35±1.68) h]比较,观察组明显短于对照组,差异均有统计学意义(P<0.05);术后12 h,观察组和对照组患者的CD4+TT数量[(35.69±1.54)%vs (32.01±6.21)%]、NK细胞数量[(20.36±2.41)%vs (18.73±2.65)%]比较,观察组明显高于对照组,CD8+TT数量[(27.01±1.79)%vs (29.28±3.87)%]比较,观察组明显低于对照组,差异均有统计学意义(P<0.05);观察组患者的不良反应总发生率为5.00%,略低于对照组的10.00%,但差异无统计学意义(P>0.05)。结论 CONCERT-CL闭环靶控输注系统在腹腔镜胃肠手术患者中的应用能够降低术中麻醉维持药物用量,患者苏醒速度更快。同时还能够促进患者术后胃肠功能的恢复,并且对免疫功能起到一定改善作用。
基金supported by the National Natural Science Foundation of China (Grant Nos.10471089,60874039)the Shanghai Leading Academic Discipline Project (Grant No.J50101)
文摘In this paper, a numerical method for solving the optimal control （OC） problems is presented. The method is enlightened by the Chebyshev-Legendre （CL） method for solving the partial differential equations （PDEs）. The Legendre expansions are used to approximate both the control and the state functions. The constraints are discretized over the Chebyshev-Gauss-Lobatto （CGL） collocation points. A Legendre technique is used to approximate the integral involved in the performance index. The OC problem is changed into an equivalent nonlinear programming problem which is directly solved. The fast Legendre transform is employed to reduce the computation time. Several further illustrative examples demonstrate the efficiency of the proposed method.
