RESPIRATORY RESPONSES TO CO2 INHALATION - A THEORETICAL STUDY OF A NONLINEAR BIOLOGICAL REGULATOR
RESPIRATORY RESPONSES TO CO2 INHALATION - A THEORETICAL STUDY OF A NONLINEAR BIOLOGICAL REGULATOR
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DOI：
10.1152/jappl.1954.7.3.283
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发表时间：
1954-01-01
影响因子：
3.3
通讯作者：
JONES, RW
中科院分区：
文献类型：
--
作者：
GRODINS, FS;GRAY, JS;JONES, RW
本文从理论上分析了呼吸系统对CO_2吸入的反应。生理系统被视为一个反馈调节器，旨在控制组织CO2浓度的水平。方程推导出定义系统的受控和控制部件的性能，然后将这些方程组合成描述操作调节器的闭环方程。受控组件（肺-血液-组织CO2交换器）的方程是线性的，二阶微分方程定义了组织和动脉CO2浓度的行为。该系统的控制是通过参数反馈实现的，因此闭环方程是非线性的。这些非线性方程的特解，使用各种值的基本系统的属性，得到了与模拟计算机的帮助。这些解决方案产生的预测通气和动脉PCO 2的行为与观察到的生理原型的反应基本一致。
A theoretical analysis of the responses of the respiratory system to CO2 inhalation was made. The physiological system was treated as a feed-back regulator designed to control the level of tissue CO2 concentration. Equations were derived to define the performance of the controlled and controlling components of the system, and these were then combined into closed-loop equations descriptive of the operating regulator. The equations of the controlled component (lung-blood-tissue CO2 exchanger) were linear, second order differential equations defining the behavior of tissue and of arterial CO2 concentrations. Control of this system was accomplished by feedback through parameters, so that the closed-loop equations were nonlinear. Particular solutions of these nonlinear equations, using various values for the basic system properties, were obtained with the aid of an analogue computor. These solutions yielded predictions for the behavior of ventilation and arterial PCO2 which were in substantial agreement with the observed responses of the physiological prototype.