In this paper,an efficient interval analysis method called dimension-reduction interval analysis(DRIA)method is proposed to calculate the bounds of response functions with interval variables,which provides a kind of s...In this paper,an efficient interval analysis method called dimension-reduction interval analysis(DRIA)method is proposed to calculate the bounds of response functions with interval variables,which provides a kind of solution method for uncertainty analysis problems of complex structures and systems.First,multi-dimensional function is transformed into multiple one-dimensional functions by extending dimension reduction method to the interval analysis problem.Second,all the one-dimensional functions are transformed to standard quadratic form by second order Taylor expansion method.As a result,the multi-dimensional function is approximately represented by the functions that each interval variable occurs once,and interval power arithmetic can be used to efficiently calculate the bounds of response functions in restricted overestimation.Finally,three numerical examples and an engineering application are investigated to demonstrate the validity of the proposed method.展开更多
通过DNA从头测序分析人胸膜间皮瘤发生的高关联度突变基因。提取恶性胸膜间皮瘤(MPM)组织和正常胸膜组织DNA,构建基因文库,用Illumina HiSeqX Ten PE 150平台测序,将测序结果与人类基因组数据库的参考序列进行比对、注释,并对测序结果...通过DNA从头测序分析人胸膜间皮瘤发生的高关联度突变基因。提取恶性胸膜间皮瘤(MPM)组织和正常胸膜组织DNA,构建基因文库,用Illumina HiSeqX Ten PE 150平台测序,将测序结果与人类基因组数据库的参考序列进行比对、注释,并对测序结果进行过滤、错误率分布检查、GC含量分布检查分析。MPM组织DNA平均过滤37829946 bp,错误率小于0.12%,GC含量占41.17%,而正常胸膜组织DNA平均过滤39089681 bp,错误率小于0.1%,GC含量占41.7%,两者测序质量均在Q 30(≥80%)以上,MPM为87.43%,正常胸膜为88.36%。以上高质量测序数据通过BWA比对到参考基因组(GRCh 37/hg 19),得到最初比对序列,利用重复标记后的比对序列进行覆盖度、深度等统计,覆盖深度达到10 X以上该突变位点可信。结果显示,实验病例XL14覆盖深度达到10 X的占98.59%,覆盖率达到99.83%;对照病例Z5占98.50%,覆盖率达到99.79%。对该序列进行基因注释分析,发现一系列单核苷酸多态性、基因插入缺失、基因结构变异、基因拷贝数变异,筛选出总变异位点数29277个,可能致病的变异位点数22个,致病性的变异位点数5个,不确定变异有害性的位点数为3353个,其余变异位点均为良性。进一步对突变基因进行富集、关联性分析,预测出突变基因TXNDC2与人胸膜间皮瘤的发生高度相关,相关系数达到0.8以上;突变基因PIEN、ABCC1、UGT1A7、UGT1A3、UGT1A4、UGT1A9、ALDH3B1、UGT1A5等与人胸膜间皮瘤有一定关联性,关联度在0~0.2之间。基因TXNDC2、PIEN、ABCC1、UGT1A7、UGT1A3、UGT1A4、UGT1A9、ALDH3B1、UGT1A5的变异可能与人胸膜间皮瘤的发生发展有关。本实验为人胸膜间皮瘤分子诊断提供了参考。展开更多
文摘In this paper,an efficient interval analysis method called dimension-reduction interval analysis(DRIA)method is proposed to calculate the bounds of response functions with interval variables,which provides a kind of solution method for uncertainty analysis problems of complex structures and systems.First,multi-dimensional function is transformed into multiple one-dimensional functions by extending dimension reduction method to the interval analysis problem.Second,all the one-dimensional functions are transformed to standard quadratic form by second order Taylor expansion method.As a result,the multi-dimensional function is approximately represented by the functions that each interval variable occurs once,and interval power arithmetic can be used to efficiently calculate the bounds of response functions in restricted overestimation.Finally,three numerical examples and an engineering application are investigated to demonstrate the validity of the proposed method.
