人體血管系的迭代仿真方法
Iterative simulation of human blood vessel system
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摘要: 該文從整體和局部兩方面對人體冠狀動脈血管系進(jìn)行了描述,提出了球坐標(biāo)參數(shù)互約束方法來構(gòu)造心臟模型,以此對仿真冠狀動脈的空間分布進(jìn)行控制;結(jié)合血管系的最優(yōu)化原理,建立了冠狀動脈分叉模式規(guī)則庫;然后借鑒分形理論中的選代函數(shù)系統(tǒng)思想,對每一種分叉模式賦以一定概率進(jìn)行冠狀動脈的迭代仿真.為了使仿真結(jié)果更加形象逼真,在迭代過程中引入了一些隨機(jī)變量,在最后實(shí)驗(yàn)中取得了很好的效果。
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關(guān)鍵詞:
- 冠狀動脈; 規(guī)則庫; 迭代函數(shù)系統(tǒng); 分形仿真
Abstract: This paper describes the coronary arteries of human being macroscopically and locally, and proposes a method named parameter co-restriction of spherical coordinate to model the heart, which is used to control the spatial configuration of coronary arteries. Then combining the optimum principle of vessel system, a rule-base of vessel bifurcations is built. Finally, the coronary arteries can be simulated by choosing one of the bifurcate modes according to the given probability in each iterated course, which is induced from the idea of iterated function system in fractal theory. At the same time, some random variables are also introduced to make the simulating result more vivid, and the experiment indicates the validity of this method. -
M.F Barnsley,R.L.Devaney,B.B.Mandelbrot,et al.,著,和風(fēng),譯,分形圖形學(xué),北京,海洋出版社,1995.[2]齊東旭,分形及其計(jì)算機(jī)生成,北京,科學(xué)出版社,1994.[3]陳寧,朱偉勇,M-J混沌分形圖譜,沈陽,東北大學(xué)出版社,1998,15-53.[4]A.L. Goldberger, D. R. Rigner, B. J. West, Chaos and tractals in human physiology, Scienunc American, 1990, 262(2), 42-49.[5]O. Berenfeld, S. Abboud, Spectral analysis of simulated QRS complex using a model of the heart ventricles with a fractal conduction system, Proc. of the Annual International Conference of the IEEE, Vol. 3, 973-974.[6]刁穎敏,生物力學(xué)的原理與應(yīng)用,上海,同濟(jì)大學(xué)出版社,1991,160-169. -
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