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研究生:洪祥齡
研究生(外文):Hung, Hsiang Lin
論文名稱:碎形特性於點過程之應用--區分重度自律神經病變糖尿病病人及健康人之脈搏波動
論文名稱(外文):Fractal Character in Point Process:Distinguishing the Pulse of Serious Diabetic Autonomic Neuropathy and Healthy Men
指導教授:劉家頤劉家頤引用關係
指導教授(外文):Liu, Chia Yi
學位類別:碩士
校院名稱:東海大學
系所名稱:統計學系
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:2001
畢業學年度:89
語文別:中文
論文頁數:59
中文關鍵詞:碎形特性點過程脈搏自律神經病變
外文關鍵詞:Fractal characterPoint processPulseAutonomic neuropathy
相關次數:
  • 被引用被引用:10
  • 點閱點閱:355
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:1
本研究以碎形特性為主題,針對受測者是否患有自律神經病變為實證對象,嘗試以不同的分析方法作為判斷的依據並對其結果進行評估。
所收集的實證對象分成健康人及重度自律神經病變糖尿病病人兩組樣本,再分別利用下列方式進行各種判斷指標的計算,這些判斷指標大致上可分為兩大類:一為以間隔時間為基準的指標,包括事件發生間隔時間折線圖及以發生間隔間隔時間為基準之週期圖;一為以發生事件次數為基準的指標,包括事件發生次數折線圖、variance-time curve、Fano factor及利用廣義發生率為基準之週期圖。由上述方式計算出判斷值之後,再利用統計檢定這些指標是否可區分出兩個樣本,進而評估哪些指標可用來作為判斷的參考依據。
經實證分析研究後所得到的結論為除了IBP與RBP之高低頻域比例不適用於判斷受測者是否患有自律神經病變外,其餘各種指標都可作為參考的依據,並達到可以提供不同於醫界所利用之方式來判斷受測者是否患有自律神經病變的目的。

According to fractal character, we take several analyses to calculate the indexes which attempt to check a particular patient suffers from autonomic neuropathy or not and also compare those indexes for different analyses.
This research takes the pulse for serious diabetic autonomic neuropathy and healthy men as our empirical data. These analyses are based on interval and count measures. Interval measures consist of interveent-interval histogram and interval-based periodogram. And count measures consist of event-number histogram, variance-time-curve, Fano factor and generalized-rate-based peiodogram. Obeying the measures which is mentioned above, we can compute several indexes and use statistical test to verify these two different samples. Finally, we will review the conclusion and some suitable indexes will be chosen.
The analysis we have conducted suggests the use of the conveniently indexes, unless the ratio of LF/HF for IBP and RBP, indicates whether a particular patient does or does not suffer from autonomic neuropathy.

目錄
第一章 緒論 1
第一節 研究背景與目的 1
第二節 研究流程 3
第三節 自律神經之描述 4
第二章 碎形特性的概念及點過程之應用 8
第一節 碎形之起源及概念 8
第二節 點過程之簡述及測量方式 12
第三節 具有碎形特性之點過程 15
第三章 碎形特性於點過程之應用分析 16
第一節 以間隔時間為測量基準之點過程 16
(一)事件發生間隔時間之折線圖 16
(二)以發生間隔時間為基準之週期圖 17
第二節 以發生次數為測量基準之點過程 19
(一)事件發生次數之折線圖 19
(二)Variance-Time-Curve 20
(三)Fano Factor 20
第三節 廣義發生率之序列 22
以廣義發生率為基準之週期圖 22
第四章 實證分析 24
第一節 資料之收集及型態 24
第二節 實證分析結果 26
第五章 結論與後續研究 38
第一節 結論 38
第二節 後續研究方向 40
參考文獻 41
附表一 重度自律神經病變糖尿病病人之IBP 44
附表二 健康人之IBP 46
附表三 重度自律神經病變糖尿病病人之IBP (雙對數刻度) 48
附表四 健康人之IBP (雙對數刻度) 50
附表五 重度自律神經病變糖尿病病人之RBP 52
附表六 健康人之RBP 54
附表七 重度自律神經病變糖尿病病人之RBP (雙對數刻度) 56
附表八 健康人之RBP (雙對數刻度) 58

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