通過微小擾動回饋方法抑制空間上的交替現象

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：46

、訪客IP：3.149.249.154

姓名

陳勃璁(Bo-Cong Chen) 查詢紙本館藏

畢業系所

物理學系

論文名稱

通過微小擾動回饋方法抑制空間上的交替現象
(Suppression of spatial alternans by small feedback perturbation method)

相關論文

★ Case study of an extended Fitzhugh-Nagumo model with chemical synaptic coupling and application to C. elegans functional neural circuits	★ 二維非彈性顆粒子之簇集現象
★ 螺旋狀高分子長鏈在拉力下之電腦模擬研究	★ 顆粒體複雜流動之研究
★ 高分子在二元混合溶劑之二維蒙地卡羅模擬研究	★ 帶電高分子吸附在帶電的表面上之研究
★ 自我纏繞繩節高分子之物理	★ 高分子鏈在強拉伸流場下之研究
★ 利用雷射破壞方法研究神經網路的連結及同步發火的行為	★ 最佳化網路成長模型的理論研究
★ 高分子鏈在交流電場或流場下的行為	★ 驟放式發火神經元的數值模擬
★ 黏菌之運動模型研究	★ 離子通道電流漲落的非線性行為
★ DNA在微通道的熱泳行為	★ 皮膚細胞增生與腫瘤生長之模擬

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(中)

一般認為在心臟動力學行為由規律演變至混沌的過程中會有週期倍增的現象，稱為倍週期(Period-doubling)。而交替震盪的現象(Alternans) 正是倍週期的開始，因此成為了預測心律不整的重要指標。我們研究了Logistic Coupled Map Lattice 空間上的交替現象，並使用r+r-回饋控制方法進行局部區域控制。我們發現處於過渡狀態交替現象的區域更容易被抑制，也適合做為完全抑制交替現象的起點。最後我們提出了動態控制策略，以控制關鍵區域達到完全抑制空間上的交替現象，大約只需要10% 的控制比例。

摘要(英)

It is generally believed that there is a phenomenon of period-doubling when cardiac rhythm undergoes a transition from periodic to chaotic dynamics. Cardiac alternans, which is a period-2 oscillation, has become an important indicator of arrhythmia prediction. In this thesis, we study the spatial alternans in the Logistic Coupled Map Lattice and aim at suppressing local alternans by using the r+r- feedback control method. We find that the transition state of the alternans is easier to be suppressed, and it can serve as the starting point for suppressing whole spatial alternans. Finally, we propose a dynamic control strategy to achieve the suppression spatial of alternans by using only about 10% of the control ratio.

關鍵字(中)

★ 心臟交替脈
★ 空間交替
★ 非線性控制
★ 動態控制

關鍵字(英)

★ Cardiac alternans
★ Spatial alternans
★ Nonlinear control
★ Dynamic control

論文目次

摘要 (p.xi)
Abstract (p.xiii)
誌謝 (p.xv)
目錄 (p.xvii)
使用符號與定義 (p.xxvii)
1 緒論 (p.1)
1.1 心臟交替脈 (Cardiac Alternans) (p.2)
1.1.1 倍週期現象 (p.4)
1.2 非線性動力學分析 (p.6)
1.2.1 固定點(Fixed Point) (p.6)
1.2.2 分岔(Bifurcation) (p.8)
1.2.3 吸引子(Attractor) (p.10)
2 模擬與研究方法 (p.13)
2.1 Logistic Map (p.13)
2.2 Coupled Map Lattice (p.15)
2.2.1 Spatiotemporal Pattern (p.16)
2.3 Coupled Map Network (p.18)
2.4 回饋控制方法 (p.18)
2.4.1 r+ r- (p.18)
2.4.2 r+ r0 r- (p.19)
2.4.3 在CMN中的控制 (p.20)
2.5 動態選擇控制的節點 (p.20)
2.6 序參數(Order Parameter) (p.22)
2.6.1 系統變異度 (p.22)
2.6.2 相位同步率 (p.24)
3 研究結果 (p.27)
3.1 控制對基本單元動力學的影響 (p.27)
3.1.1 吸引子差異 (p.29)
3.1.2 分岔圖比較 (p.30)
3.1.3 不同的r0判定範圍 (p.33)
3.2 固定控制的節點 (p.34)
3.3 動態選擇控制的節點 (p.44)
3.3.1 控制策略1:限制數量 (p.46)
3.3.2 控制策略2:限制範圍 (p.51)
4 總結 (p.57)
4.1 不需連續施加控制 (p.57)
4.2 抑制的起點 (p.57)
4.3 定點控制的侷限 (p.58)
4.4 動態控制成效 (p.58)
4.5 未來展望 (p.60)
參考文獻 (p.61)
A 其他評估函數 (p.65)
A.1 Laplacian (p.65)
A.2 Delta x (p.67)
B 程式碼 (p.69)
B.1 Script範例 (p.69)
B.2 netdev.m (p.70)
B.3 netgenerat.m (p.74)
B.4 dist.m (p.76)

參考文獻

[1] A. Karma, “Physics of cardiac arrhythmogenesis,” Annual Review of Condensed Matter Physics, vol. 4, no. 1, pp. 313–337, 2013. doi: 10 . 1146 / annurev - conmatphys-020911-125112. [Online]. Available: https://doi.org/10. 1146/annurev-conmatphys-020911-125112.
[2] J. G. Restrepo and A. Karma, “Spatiotemporal intracellular calcium dynamics during cardiac alternans,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 19, no. 3, p. 037 115, Sep. 1, 2009, issn: 1054-1500. doi: 10.1063/1.3207835. [Online]. Available: http://aip.scitation.org/doi/10.1063/1.3207835.
[3] E. Alvarez-Lacalle, B. Echebarria, J. Spalding, and Y. Shiferaw, “Calcium alternans is due to an order-disorder phase transition in cardiac cells,” Physical Review Letters, vol. 114, no. 10, p. 108 101, Mar. 12, 2015. doi: 10.1103/PhysRevLett.114.108101. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.114.108101.
[4] A. Petrie and X. Zhao, “Estimating eigenvalues of dynamical systems from time series with applications to predicting cardiac alternans,” Proc. R. Soc. A, rspa20120098, Jul. 4, 2012, issn: 1364-5021, 1471-2946. doi: 10.1098/rspa.2012.0098. [Online]. Available: http://rspa.royalsocietypublishing.org/content/early/2012/07/03/rspa.2012.0098 (visited on 06/22/2017).
[5] Z. Qu and J. N. Weiss, “Dynamics and cardiac arrhythmias,” Journal of Cardiovascular Electrophysiology, vol. 17, no. 9, pp. 1042–1049, Sep. 1, 2006, issn: 1540-8167. doi: 10.1111/j.1540- 8167.2006.00567.x. [Online]. Available: http : / / onlinelibrary . wiley . com / doi / 10 . 1111 / j . 1540 - 8167.2006.00567.x/abstract.
[6] S. S. Kalb, H. M. Dobrovolny, E. G. Tolkacheva, S. F. Idriss, W. Krassowska, and D. J. Gauthier, “The restitution portrait:” Journal of Cardiovascular Electrophysiology, vol. 15, no. 6, pp. 698–709, Jun. 1, 2004, issn: 1540-8167. doi: 10.1046/j.1540-8167.2004.03550.x. [Online]. Available: http://onlinelibrary.wiley.com/doi/10.1046/j.1540-8167.2004.03550.x/abstract.
[7] Z. Qu, Y. Xie, A. Garfinkel, and J. N. Weiss, “T-wave alternans and arrhythmogenesis in cardiac diseases,” Frontiers in Physiology, vol. 1, Nov. 29, 2010, issn: 1664-042X. doi: 10.3389/fphys.2010.00154. [Online]. Available: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3028203/.
[8] S. H. Strogatz, Nonlinear dynamics and chaos: With applications to physics, biology, chemistry, and engineering, 1 edition. Cambridge, Mass: Westview Press, Jan. 19, 2001, 512 pp., isbn: 978-0-7382-0453-6.
[9] K. Kaneko and T. Yanagita, “Coupled maps,” Scholarpedia, vol. 9, no. 5, p. 4085, May 12, 2014, issn: 1941-6016. doi: 10.4249/scholarpedia.4085. [Online]. Available: http : / / www . scholarpedia . org / article / Coupled _ maps (visited on 06/25/2017).
[10] S. Sridhar, D.-M. Le, Y.-C. Mi, S. Sinha, P.-Y. Lai, and C. K. Chan, “Suppression of cardiac alternans by alternating-period-feedback stimulations,” Physical Review E, vol. 87, no. 4, p. 042 712, Apr. 15, 2013. doi: 10.1103/PhysRevE.87.042712. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevE.87.042712.
[11] S.-N. Liang, D.-M. Le, P.-Y. Lai, and C. K. Chan, “Ionic characteristics in cardiac alternans suppression usingT ± � feedback control,” EPL (Europhysics Letters),
vol. 115, no. 4, p. 48 001, 2016, issn: 0295-5075. doi: 10.1209/0295- 5075/115/48001. [Online]. Available: http://stacks.iop.org/0295- 5075/115/i=4/a=48001.
[12] D.-M. Le, Y. T. Lin, Y. H. Yang, P.-Y. Lai, and C. K. Chan, “Cardiac alternans reduction by chaotic attractors inT ± � feedback control,” EPL (Europhysics Letters), vol. 117, no. 5, p. 50 001, 2017, issn: 0295-5075. doi: 10.1209/0295-5075/117/50001. [Online]. Available: http://stacks.iop.org/0295-5075/117/i=5/a=50001.
[13] J. M. Pastore, S. D. Girouard, K. R. Laurita, F. G. Akar, and D. S. Rosenbaum, “Mechanism linking t-wave alternans to the genesis of cardiac fibrillation,” Circulation, vol. 99, no. 10, pp. 1385–1394, Mar. 16, 1999, issn: 0009-7322, 1524-4539. doi: 10.1161/01.CIR.99.10.1385. [Online]. Available: http://circ.ahajournals.org/content/99/10/1385 (visited on 06/22/2017).
[14] Z. Qu, A. Garfinkel, P.-S. Chen, and J. N. Weiss, “Mechanisms of discordant alternans and induction of reentry in simulated cardiac tissue,” Circulation, vol. 102, no. 14, pp. 1664–1670, Oct. 3, 2000, issn: 0009-7322, 1524-4539. doi: 10.1161/01.CIR.102.14.1664. [Online]. Available: http://circ.ahajournals.org/content/102/14/1664 (visited on 06/28/2017).
[15] M. A. Watanabe, F. H. Fenton, S. J. Evans, H. M. Hastings, and A. Karma, “Mechanisms for discordant alternans,” Journal of Cardiovascular Electrophysiology, vol. 12, no. 2, pp. 196–206, Feb. 1, 2001, issn: 1540-8167. doi: 10.1046/j.1540-8167.2001.00196.x. [Online]. Available: http://onlinelibrary.wiley.com/doi/10.1046/j.1540-8167.2001.00196.x/abstract.
[16] D. J. Watts and S. H. Strogatz, “Collective dynamics of ‘small-world’networks,” Nature, vol. 393, no. 6684, pp. 440–442, Jun. 4, 1998, issn: 0028-0836. doi: 10.1038 / 30918. [Online]. Available: https : / / www . nature . com / nature / journal/v393/n6684/full/393440a0.html (visited on 06/27/2017).
[17] A.-L. Barabási and R. Albert, “Emergence of scaling in random networks,” Science, vol. 286, no. 5439, pp. 509–512, Oct. 15, 1999, issn: 0036-8075, 1095-9203. doi: 10.1126/science.286.5439.509. [Online]. Available: http://science.sciencemag.org/content/286/5439/509 (visited on 06/27/2017).
[18] A. L. Lloyd and R. M. May, “How viruses spread among computers and people,” Science, vol. 292, no. 5520, pp. 1316–1317, May 18, 2001, issn: 0036-8075, 1095-9203. doi: 10 . 1126 / science . 1061076. [Online]. Available: http : / / science . sciencemag . org / content / 292 / 5520 / 1316 (visited on 06/27/2017).
[19] R. Pastor-Satorras and A. Vespignani, “Epidemic spreading in scale-free networks,” Physical Review Letters, vol. 86, no. 14, pp. 3200–3203, Apr. 2, 2001. doi: 10.1103/PhysRevLett.86.3200. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.86.3200.

指導教授

黎璧賢、陳志強(Pik-Yin Lai C.K Chan)

審核日期

2017-8-17

推文