The fractional diffusion equations can accurately describe the migration process of anomalous diffusion, which are widely applied in the field of natural science and engineering calculations. This paper proposed a kin...The fractional diffusion equations can accurately describe the migration process of anomalous diffusion, which are widely applied in the field of natural science and engineering calculations. This paper proposed a kind of numerical methods with parallel nature which were the alternating segment explicit-implicit (ASE-I) and implicit-explicit (ASI-E) difference method for the time fractional sub-diffusion equation. It is based on the combination of the explicit scheme, implicit scheme, improved Saul’yev asymmetric scheme and the alternating segment technique. Theoretical analyses have shown that the solution of ASE-I (ASI-E) scheme is uniquely solvable. At the same time the stability and convergence of the two schemes were proved by the mathematical induction. The theoretical analyses are verified by numerical experiments. Meanwhile the ASE-I (ASI-E) scheme has the higher computational efficiency compared with the implicit scheme. Therefore it is feasible to use the parallel difference schemes for solving the time fractional diffusion equation.展开更多
目的:探讨肿瘤-睾丸抗原(CTA)MAGE-1和NY-ESO-1作为胃肠间质瘤(GISTs)免疫治疗特异性靶点及MAGE-1和NY-ESO-1mRNA作为辅助GISTs危险度分级指标的可能性,及其与GISTs生物学行为的关系.方法:采用逆转录-聚合酶链反应(RT-PCR)技术,检测30例...目的:探讨肿瘤-睾丸抗原(CTA)MAGE-1和NY-ESO-1作为胃肠间质瘤(GISTs)免疫治疗特异性靶点及MAGE-1和NY-ESO-1mRNA作为辅助GISTs危险度分级指标的可能性,及其与GISTs生物学行为的关系.方法:采用逆转录-聚合酶链反应(RT-PCR)技术,检测30例GISTs中MAGE-1和NY-ESO-1m R NA的表达,并取正常胃肠道组织作为阴性对照组,同时分析MAGE-1和NY-ESO-1mRNA表达与病理特征的关系.结果:正常对照组中无阳性表达,30例GISTs中,18例至少表达一种CTA,MAGE-1和NY-E S O-1m R NA在G I S T s中的表达率分别为30%和47%.MAGE-1和NY-ESO-1mRNA表达与患者年龄、性别和病理类型无关,而与肿瘤生长部位、肿瘤大小及危险度分级有关(P<0.05).MAGE-1和NY-ESO-1mRNA在低危、中危、高危三个组中表达量随着危险度分级的升高而增高,三组间差异有统计学意义(P<0.05).MAGE-1和NY-ESO-1mRNA在GISTs中的表达不存在相关性(r=0.018,P>0.05).结论:MAGE-1和NY-ESO-1mRNA在GISTs中的高特异性表达,其抗原有望成为GISTs免疫治疗特异性的靶点;MAGE-1和NY-ESO-1mRNA表达与GISTs危险度分级有关,MAGE-1和NY-ESO-1mRNA有望成为辅助GISTs危险度分级的诊断指标.展开更多
文摘The fractional diffusion equations can accurately describe the migration process of anomalous diffusion, which are widely applied in the field of natural science and engineering calculations. This paper proposed a kind of numerical methods with parallel nature which were the alternating segment explicit-implicit (ASE-I) and implicit-explicit (ASI-E) difference method for the time fractional sub-diffusion equation. It is based on the combination of the explicit scheme, implicit scheme, improved Saul’yev asymmetric scheme and the alternating segment technique. Theoretical analyses have shown that the solution of ASE-I (ASI-E) scheme is uniquely solvable. At the same time the stability and convergence of the two schemes were proved by the mathematical induction. The theoretical analyses are verified by numerical experiments. Meanwhile the ASE-I (ASI-E) scheme has the higher computational efficiency compared with the implicit scheme. Therefore it is feasible to use the parallel difference schemes for solving the time fractional diffusion equation.
文摘目的:探讨肿瘤-睾丸抗原(CTA)MAGE-1和NY-ESO-1作为胃肠间质瘤(GISTs)免疫治疗特异性靶点及MAGE-1和NY-ESO-1mRNA作为辅助GISTs危险度分级指标的可能性,及其与GISTs生物学行为的关系.方法:采用逆转录-聚合酶链反应(RT-PCR)技术,检测30例GISTs中MAGE-1和NY-ESO-1m R NA的表达,并取正常胃肠道组织作为阴性对照组,同时分析MAGE-1和NY-ESO-1mRNA表达与病理特征的关系.结果:正常对照组中无阳性表达,30例GISTs中,18例至少表达一种CTA,MAGE-1和NY-E S O-1m R NA在G I S T s中的表达率分别为30%和47%.MAGE-1和NY-ESO-1mRNA表达与患者年龄、性别和病理类型无关,而与肿瘤生长部位、肿瘤大小及危险度分级有关(P<0.05).MAGE-1和NY-ESO-1mRNA在低危、中危、高危三个组中表达量随着危险度分级的升高而增高,三组间差异有统计学意义(P<0.05).MAGE-1和NY-ESO-1mRNA在GISTs中的表达不存在相关性(r=0.018,P>0.05).结论:MAGE-1和NY-ESO-1mRNA在GISTs中的高特异性表达,其抗原有望成为GISTs免疫治疗特异性的靶点;MAGE-1和NY-ESO-1mRNA表达与GISTs危险度分级有关,MAGE-1和NY-ESO-1mRNA有望成为辅助GISTs危险度分级的诊断指标.
