非線性調控對心臟分岔現象的影響

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姓名

林昱廷(LIN, YU-TING) 查詢紙本館藏

畢業系所

生物物理研究所

論文名稱

非線性調控對心臟分岔現象的影響
(Nonlinear control on heart bifurcation)

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摘要(中)

心臟病中「心因性猝死(Sudden Cardiac Death, SCD)」就佔了半數。其中又有80\% 是由心室引起的心律不整。心律不整的成因除了組織損傷外，心臟中的非線性動力系統也是主因之一。一般相信心臟由規律進入到不規律狀態的過程中會經過倍週期狀態。因此如何將倍週期狀態中的心臟拉回週期性的規律心跳，甚至是早一步阻止其進入倍週期的方法成為預防心律不整的重要課題，亦是本研究的主要目的。本研究使用了一個新的控制方法。可以影響心臟動力系統原有的分岔點(Bifurcation point)，使倍週期心跳恢復為單週期。此外，控制過程中所形成的吸引子形狀也可以作為判斷系統狀態的依據。

摘要(英)

About 50\% of all cardiovascular deaths are sudden cardiac deaths and about 80\% of these are caused by ventricular tachyarrhythmia. The cause of arrhythmias is not only because of physical damage in cardiac tissues but can also originate from the nonlinear dynamics of the heart. It is believed that period doubling in the beating of a heart is a precursor of arrhythmias.
The goal here is to develop a method for the suppression of period doubling. This study uses a new control method, known as T+T-, to affect the bifurcation point in a dynamical system. The T+T- method can suppress period doubling in the beating of the heart. Furthermore, the shape of the attractor constructed from the beating of the heart under the T+T- control can also provide useful information about the dynamical state of the heart.

關鍵字(中)

★ 分岔
★ 非線性調控
★ 吸引子
★ 滯後效應

關鍵字(英)

★ Bifurcation
★ Nonlinear control
★ Cardiac alternans
★ Non-monotonic restitution
★ Attractor
★ Hysteresis

論文目次

摘要 v
Abstract vii
誌謝 ix
目錄 xi
圖目錄 xiii
表目錄 xv
使用符號與定義 xvii
一緒論 1
1.1 心臟結構與傳導系統 2
1.2 可激發系統與螺旋波 3
1.3 動作電位與興奮收縮耦聯 5
1.4 分岔現象(Bifurcation) 8
1.5 Logistic Map 10
1.6 回授調控去除倍週期 12
1.6.1 Delayed Feedback Control, DFC 14
1.6.2 T+T− 15
1.7 Non-monotonic APD Restitution 15
1.8 總結 17
二實驗方法及裝置 19
2.1 樣品及藥品準備 19
2.2 Langendorff 灌流系統 20
2.3 訊號量測與調控系統 21
2.4 調控方法 25
2.4.1 Proportional Perturbation Feedback Control, PPFC 26
2.4.2 T+T− 26
2.4.3 T+T0T− 26
2.4.4 T+T−_Rand / T+T−_Reverse 27
2.5 實驗流程 27
2.6 分析方法 28
2.6.1 Poincaré map 28
三實驗結果 31
3.1 無控制下的動力學現象 31
3.2 控制成效 35
3.2.1 消除倍週期 36
3.2.2 避免倍週期 38
3.2.3 控制強度過大情況 39
3.2.4 控制強度不足情況 40
3.3 吸引子差異 41
3.3.1 形狀序列 42
3.3.2 吸引子形狀的應用 45
3.4 回饋控制的滯留效應 48
3.5 心室顫動(VF)的消除 51
四總結 55
4.1 無控制下的動力學現象 55
4.2 控制成效 55
4.3 吸引子形狀 56
4.4 滯留效應 56
4.5 心室顫動的消除 56
4.6 實驗的假設與限制 56
參考文獻 57
附錄A 裝置列表 59
附錄 B Solutions 61
B.1 The concentration of component in KHB solution 61
B.2 Preparation 62
B.2.1 KHB solution for rat heart 62
B.2.2 Other solution for rat heart 63
附錄 C 電極製作方法 65
附錄 D 程式碼 69
D.1 T+T− 調控程式 (GUI) 69
D.2 T+T− 調控程式 (Schedule) 72
D.3 PPTL 調控程式 (GUI) 74
D.4 PPTL 調控程式 (Schedule) 76
D.5 分析程式 79
D.6 實驗中即時監看程式 86
D.7 其他子程式 90

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指導教授

陳志強、黎璧賢(C.K. Chan P.Y. Lai)

審核日期

2016-8-30

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