模糊区间信息熵用于充血性心衰患者的检测
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摘要
目的传统心率变异性图形化指标(直方图和散点图)检测区分充血性心衰患者和健康人时难以量化,针对这一问题,本文提出一种新的心率变异性图形化分析方法——RR间期序列归一化直方图及其量化指标,用于检测区分充血性心衰患者和健康人。方法首先定义RR间期序列归一化直方图,在此基础上定义基于模糊理论的量化指标——模糊区间信息熵FuzzyRIEn,最后利用120例临床试验数据(60例充血性心衰患者和60例健康人)分析对比指标FuzzyRIEn和前期研究提出的3个量化指标:中心-边缘比(center-edge ratio,CER)、累积能量(cumulative energy,CE)和区间信息熵(rangeinformation entropy,RIEn)在两组间的统计学差异。结果对比结果显示,CER(P=0.418),CE(P=0.262)和RIEn(P=0.068)在两组间均无显著统计学差异,而FuzzyRIEn(P=0.023)在两组间统计学差异显著。结论利用模糊区间信息熵FuzzyRIEn检测区分充血性心衰有较高的临床诊断价值。
Objective Histogram and scatter plot are two important graphical indices for heart rate variability(HRV)analysis which are difficult to quantify the differences between the patients with congestive heart failure and healthy control subjects.This study proposes a new graphical method for HRV analysis, named RR sequence normalized histogram.Methods Firstly,RR sequence normalized histogram was defined. Meanwhile,the index of fuzzy range information entropy(FuzzyRIEn)based on the fuzzy sets was defined.To verify the validity of FuzzyRIEn,a total of 120 subjects(60 patients with congestive heart failure and 60 healthy subjects)were enrolled and the comparison between FuzzyRIEn and the other three indices[centeredge ratio(CER),cumulative energy(CE)and range information entropy(RIEn)]that we proposed earlier were analyzed.Results Wilcoxon rank sum test showed that there were no statistical differences in CER(P = 0.418),CE(P =0.262)and R1En(P =0.068)between the two groups meanwhile the difference in FuzzyRIEn(P = 0.023)was significant.Conclusions FuzzyRIEn might be valid for detecting congestive heart failure in clinical applications.
Objective Histogram and scatter plot are two important graphical indices for heart rate variability(HRV)analysis which are difficult to quantify the differences between the patients with congestive heart failure and healthy control subjects.This study proposes a new graphical method for HRV analysis, named RR sequence normalized histogram.Methods Firstly,RR sequence normalized histogram was defined. Meanwhile,the index of fuzzy range information entropy(FuzzyRIEn)based on the fuzzy sets was defined.To verify the validity of FuzzyRIEn,a total of 120 subjects(60 patients with congestive heart failure and 60 healthy subjects)were enrolled and the comparison between FuzzyRIEn and the other three indices[centeredge ratio(CER),cumulative energy(CE)and range information entropy(RIEn)]that we proposed earlier were analyzed.Results Wilcoxon rank sum test showed that there were no statistical differences in CER(P = 0.418),CE(P =0.262)and R1En(P =0.068)between the two groups meanwhile the difference in FuzzyRIEn(P = 0.023)was significant.Conclusions FuzzyRIEn might be valid for detecting congestive heart failure in clinical applications.
引文
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[2]Green D,Newth D.Towards a theory of everything?- Grand challenge in complexity and informatics[J].Complexity International,2001,8(5):1-12.
[3]Wang J,Ning XB,Ma QL,et al.Multiscale multifractality analysis of a 12-lead electrocardiogram[J].Phys Rev E,2005, 71(1):062902.
[4]Hon EH,Lee ST.Electronic evaluation of the fetal heart rate patterns preceding fetal death:further observations[J].Am J Obstet Gynecol,1965,8(7):814-826.
[5]Task Force of the European Society of Cardiology and the North American Society of Pacing and Eleetrophysiology.Heart rate variability:standards of measurement,physiological interpretation, and clinical use[J].Circulation,1996,93:1043-1065.
[6]刘澄玉,刘常春,李丽萍,等.联合变异性在评价心脏病患者心血管系统功能状态中的应用[J].吉林大学学报:工学版,2010,40(2):539-544. Liu Chengyu,Liu Changchun,Li Liping,et al.Application of associated variability for funetion evaluation of cardiovascular system in heart disease patients[J].Journal of Jilin University: Engineering and Technology Edition,2010,40(2):539-544.
[7]刘澄玉,刘常春,张庆广,等心电间期序列归一化直方图的构造方法及其在评价心衰中的应用[J].生物物理学报, 2009,25(4):299-304. Liu Chengyu,Liu Changchun,Zhang Qingguang,et al. Construction method for normalized histogram of RR sequence and its application for evaluation heart failure[J].Acta Biophysica Sinica,2009,25(4):299-304.
[8]Liu Chengyu,Li Peng,Zhao Lina,et al.Evaluation Method for Heart Failure Using RR Sequence Normalized Histogram[C]. Computing in Cardiology,2011:126-129.
[9]Zadeh LA.Fuzzy sets[J],lnformation and Control,1965,8: 338-353.
[10]Chen Welting,Wang Zhizhong,Xie Hongbo,et al.Characterization of surface EMG signal based on fuzzy entropy[J].IEEE Trans Neural Syst Rehabil Eng,2007,15(2):266-272.
[11]Li C,Zheng C,Tai C.Detection of ECG characteristic points using wavelet transform[J].IEEE Trans Bio-med Eng,1995, 42(1):21-28.
[12]Martinez JP,Almeida R,Olmos S,et al.A wavelet-based ECG delineator:evaluation on standard databases[J].IEEE Trans Bio-med Eng,2004,51(4):570-581.
[13]Liu Chengyu,Liu Changchun,Shao Peng,et al.Comparison of different threshold values r for approximate entropy Application to investigate the heart rate variability between heart failure and healthy control groups[J].Physiological Measurement,2011,32 (2):167-180.
[14]McNames J,Thong T,Ahoy M.Impulse rejection filler for artifaet removal in spectral analysis of biomedical signals[C]. Proceedings of the 26th Annual International Confrence of the IEEE-EMBS,2004:145-148.
[15]Rajendra AU,Paul JK,Kannathal N,et al.Heart rate variability:a review[J].Med Biol Eng Comput,2006,12: 1031-1051.
[16]谢瑛瑛,诸强.心率变异性检测与分析[J].北京生物医学工程,2010,29(2):215-219. Xie Yingying,Zhu Qiang.Measurement and analysis of heart rate yariability[J].Beijing Biomnedical Engineering,2010,29(2): 215-219.