心肌组织机械形变的元胞自动机模拟

doi:10.19596/j.cnki.1001-246x.7659

计算物理 ›› 2018, Vol. 35 ›› Issue (3): 294-302.DOI: 10.19596/j.cnki.1001-246x.7659

心肌组织机械形变的元胞自动机模拟

张学良, 谭惠丽, 唐国宁, 邓敏艺

广西师范大学物理科学与技术学院, 广西桂林 541004

收稿日期:2017-03-20 修回日期:2017-06-06 出版日期:2018-05-25 发布日期:2018-05-25
通讯作者: 邓敏艺,教授,硕士生导师,E-mail:dengminyi@mailbox.gxnu.edu.cn
作者简介:张学良(1991-),男,江西萍乡,硕士研究生,主要研究螺旋波动力学及心脏电信号传导,E-mail:xueliangzhang23@163.com
基金资助:
国家自然科学基金（11365003，11565005，11647309）资助项目

Mechanical Deformation of Myocardial Tissue with Cellular Automaton

ZHANG Xueliang, TAN Huili, TANG Guoning, DENG Minyi

College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China

Received:2017-03-20 Revised:2017-06-06 Online:2018-05-25 Published:2018-05-25

摘要/Abstract

摘要： 采用Greenberg-Hastings元胞自动机模型研究机械形变对心肌组织中螺旋波动力学行为的影响.数值模拟表明：对于规则网格下的稳定螺旋波，在生理性机械形变作用下，螺旋波发生漫游但不破碎；在病理性机械形变作用下，螺旋波会发生持续漫游、漫游后消失和破碎进入螺旋波湍流态三种变化.通过对比发现机械形变的振幅变化率对螺旋波的影响较大，而机械形变的角频率对螺旋波的影响较小.结合数值模拟，对心前区受到猛烈撞击会出现心颤致死及耐力运动员在发生心动过速后比一般人员更容易恢复正常进行解释.

关键词: 元胞自动机, 机械形变, 螺旋波, 螺旋波湍流态

Abstract: Effect of mechanical deformation on spiral waves in myocardial tissue is studied with Greenberg-Hastings cellular automaton. It shows that for stable spiral waves existing in a regular lattices system, physiological deformation leads to meandering but not breakup of spiral waves. However, pathological deformation results in breakup, meandering, or disappearance of spiral waves. Simulation results show that spiral waves are more sensitive to amplitude than to angular frequency of mechanical deformation. The quick recovery of a sportsman after hitting on breast and fibrillation coming from violent hitting on breast was explained.

Key words: cellular automata, mechanical deformation, spiral wave, spiral turbulence

中图分类号:

O415.6

张学良, 谭惠丽, 唐国宁, 邓敏艺. 心肌组织机械形变的元胞自动机模拟[J]. 计算物理, 2018, 35(3): 294-302.

ZHANG Xueliang, TAN Huili, TANG Guoning, DENG Minyi. Mechanical Deformation of Myocardial Tissue with Cellular Automaton[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(3): 294-302.

参考文献

[1] JAKUBITH S, ROTERMUND H H, ENGEL W, et al. Spatiotemporal concentration patterns in a surface reaction:Propagating and standing waves, rotating spirals, and turbulence[J]. Physical Review Letters, 1990, 65(24):3013.
[2] LARIONOVA Y, EGOROV O, CABRERA-GRANADO E, et al. Intensity spiral patterns in a semiconductor microresonator[J]. Physical Review A, 2005, 72(3):033825.
[3] MA J, ZHANG A H, TANG J, et al. Collective behaviors of spiral waves in the networks of Hodgkin-Huxley neurons in presence of channel noise[J]. Journal of Biological Systems, 2010, 18(01):243-259.
[4] ZHANG L S, GU W F, HU G, et al. Network dynamics and its relationships to topology and coupling structure in excitable complex networks[J]. Chinese Physics B, 2014, 23(10):108902.
[5] 丁达夫, 冯祖康. 心脏猝死的杀手-螺旋波[J]. 物理, 1992, 21(1):19-24.
[6] NASH M P, PANFILOV A V. Electromechanical model of excitable tissue to study reentrant cardiac arrhythmias[J]. Progress in Biophysics and Molecular Biology, 2004, 85(2):501-522.
[7] HE D H, HU G, ZHAN M, et al. Pattern formation of spiral waves in an inhomogeneous medium with small-world connections[J]. Physical Review E, 2002, 65(5):055204.
[8] LIU G Q, YING H P. Motion of spiral tip driven by local forcing in excitable media[J]. Chinese Physics B, 2014, 23(5):050502.
[9] ZHONG M, TANG G N. Suppression of spiral waves and spatiotemporal chaos in cardiac tissues with controll of calcium and potassium ionic currents[J]. Chinese Journal of Computational Physics, 2011, 28(1):119-124.
[10] MA J, WU N J, YING H P, et al. A local phase control of spiral and spatiotemporal chaos[J]. Chinese Journal of Computational Physics, 2006, 23(2):243-248.
[11] ZHANG H, RUAN X S, HU B, et al. Spiral breakup due to mechanical deformation in excitable media[J]. Physical Review E, 2004, 70(1):016212.
[12] CHEN J X, XU J R, YING H P. Resonant drift of spiral waves induced by mechanical deformation[J]. International Journal of Modern Physics B, 2010, 24(29):5733-5741.
[13] CHEN S Y, YUAN G Y, WU G, et al. Effect of Lévy noise and periodic force on dynamics of spiral waves[J]. Chinese Journal of Computational Physics, 2012, 29(4):620-626.
[14] NAYAK A R, PANDIT R. Spiral-wave dynamics in ionically realistic mathematical models for human ventricular tissue:The effects of periodic deformation[J]. Frontiers in Physiology, 2014, 5:207.
[15] LIU G Q, YING H P, LUO H L, et al. Suppression of spiral breakup in excitable media by local periodic forcing[J]. International Journal of Bifurcation & Chaos, 2017, 26(14):1650236.
[16] FAST V G, EFIMOV I R. Stability of vortex rotation in an excitable cellular medium[J]. Physica D, 1991, 49(1):75-81.
[17] ZEMLIN C W, PANFILOV A V. Spiral waves in excitable media with negative restitution[J]. Physical Review E, 2001, 63(4):041912.
[18] 张立升, 邓敏艺, 孔令江, 等. 用元胞自动机模型研究二维激发介质中的非线性波[J]. 物理学报, 2009, 58(7):4493-4499.
[19] MOE G K, RHEINBOLDT W C, ABILDSKOV J A. A computer model of atrial fibrillation[J]. American Heart Journal, 1964, 67(2):200-220.
[20] BOLLACKER K D, SIMPSON E V, JOHNSON G A, et al. A cellular automata three-dimensional model of ventricular cardiac activation[J]. Engineering in Medicine and Biology Society, 1991, 13(2):0627-0628.
[21] MAKOWIEC D. Modeling of intercellular connections in the sinoatrial node[C]//Summer Solstice 2009 International Conference on Discrete Models of Complex Systems, Book Series:Acta Physica Polonica B Proceedings Supplement, 2010, 27(3):377-390.
[22] 熊英,杨琳.心脏肌成纤维细胞与心肌细胞偶联的致心律失常作用[J].中国心脏起搏与心电生理杂志, 2013,27(6):471-473.
[23] 刘海英, 杨翠云, 唐国宁. 心脏老化和收缩对螺旋波动力学的影响研究[J]. 物理学报, 2013, 62(1):10505-010505.
[24] CHOPARD B, Droz M.物理系统的元胞自动机模拟[M].朱玉学,赵学龙,译. 第一版.北京:清华大学出版社,2003:12.
[25] MARWICK T H, LEANO R L, BROWN J, et al. Myocardial strain measurement with 2-dimensional speckle-tracking echocardiography:Definition of normal range[J]. JACC:Cardiovascular Imaging, 2009, 2(1):80-84.
[26] KELDERMANN R H, NASH M P, GELDERBLOM H, et al. Electromechanical wavebreak in a model of the human left ventricle[J]. American Journal of Physiology-Heart and Circulatory Physiology, 2010, 299(1):H134-H143.
[27] 余承高,白融,陈栋梁,黄勇.心脏电生理学基础与临床[M].第一版. 武汉:华中科技大学出版社,2008:143-162.
[28] 刘海英,杨翠云,唐国宁. 心脏老化和收缩对螺旋波动力学的影响研究[J]. 物理学报,2013, 62(1):010505.
[29] 杜宏凯, THUOMAS K A, NYLANDER E,等电影磁共振图像评定运动员心脏形态与功能[J]. 中国运动医学杂志, 1992, 11(3):149-149.
[30] DICKMAN G L, HASSAN A, LUCKSTEAD E F. Ventricular fibrillation following baseball injury[J]. Physician and Sports Medicine, 1978, 6:85-86.

心肌组织机械形变的元胞自动机模拟

Mechanical Deformation of Myocardial Tissue with Cellular Automaton

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