The Mathematical Analysis of Heart Rate Response Curve During Treadmill Exercise and Its Application
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摘要: 为评价失重时心血管系统对运动负荷的反应能力,本文以心率为指标,研究在运动负荷反应过程中心率的变化,并用数学形式进行表述。 实验设计三种跑台负荷(亚最大、中、小),两种体能状态(20天模拟失重卧床前、后)和两组人员(6名青年体力工作者,5名中年脑力工作者)的跑台运动实验,以观察负荷量从小到大及卧床前、后心率动态曲线的变化过程,揭示各参数随体能状态和负荷量变化的规律。 采用最小二乘原理,用泰勒级数展开法解非线性方程组,得到跑台运动期和恢复期的心率反应曲线的最佳拟合表达式,并通过不同负荷量和不同体能状态确定了表达式中各参数的生理意义。选用五个独立参量评定运动负荷时心血管系统反应能力,它们在三种负荷、模拟失重卧床前、后及不同组别之间有明显差异。 本文为失重心血管系统选训、医监和研究其对运动负荷的反应能力等方面,提供科学依据。Abstract: In this paper,the dynamic change of heart rate was used to study its whole response on physical load by means of mathematical method and to evaluate the response capacity of the cardiovascular system.11 subjects (6 young physical workers and 5 middle aged mental workers) were selected for the treadmill tests under three diferent loads (submaximal,medium and light) and two different physiological functional states (before and after 20 days bed rest).By means of least square method,optimal fitting expressions of heart rate response curve were established during exercise and recovery peroid respectively.Through the study of different load and different physiological functional states,physiological meaning of each parameter in equations was established.Five independent parameters were obtained,they were selected as indicators for evaluation of the response capacity of cardiovaslular system under exercise loading and can be used to differentiate three different loads and two different physiological functional states.This study provided the scientific basis for the selection of candidates and medical monitoring as well as for the study of response characteristic of the cardiovaslular system.
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