| 基于生物钟模型的人体生命节律分析 |
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| 引用本文： | 程攀科,马 翠,谢俊鹏.基于生物钟模型的人体生命节律分析[J].西南农业大学学报,2012,34(1):006-010. |
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| 作者姓名： | 程攀科 马 翠 谢俊鹏 |
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| 作者单位： | 第三军医大学学员旅十三队;第三军医大学数学与生物数学教研室 |
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| 摘 要： | 生命节律是人体生命活动的重要体征.在房室模型与系统动力学方程的基础上建立人体生物钟模型,从而描述人体生命节律的变化.当节律中的振幅改变时,利用Hopf分叉理论进行判别;当频率改变时,则采用劳思—赫尔维茨稳定判据进行判断.通过人体心肌细胞的实例证明该模型能够很好地反映出人体生命节律的变化.
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| 关 键 词： | 系统动力学方程 房室模型 Hopf分叉 劳思—赫尔维茨稳定判据 |
A Circadian Clock Model-Based Analysis of the Rhythm of Human Life |
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| CHENG Pan-ke,MA Cui,XIE Jun-peng.A Circadian Clock Model-Based Analysis of the Rhythm of Human Life[J].Journal of Southwest Agricultural University,2012,34(1):006-010. |
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| Authors: | CHENG Pan-ke MA Cui XIE Jun-peng |
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| Institution: | 1.The 13th Team of Cadet Brigade,Third Military Medical University,Chongqing 400038,China;2.Department of Mathematics and Mathematical Biology,Third Military Medical University,Chongqing 400038,China |
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| Abstract: | The rhythm of life is a major sign of the human body.In this paper,a clock model is built based on the atrioventricular model and the system dynamic equation to describe changes in the rhythm of human life.In the clock model,the Hopf bifurcation theory is used to discriminate amplitude changes,while the Routh-Hurwitz criterion is employed to judge the change in frequency.Finally,an actual example of cardio-musscular cells proves that the clock model can accurately describe the rhythm of life. |
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| Keywords: | system dynamic equation atrioventricular model Hopf bifurcation theory Routh-Hurwitz criterion |
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