Kisliakov Iu Ia, Samoĭlov M O, Ivanov K P, Luchakov Iu I
Fiziol Zh SSSR Im I M Sechenova. 1983 Jan;69(1):63-9.
A mathematical model describing the dynamics of oxygen transport in constructions with capillaries and pyramidal cells of the cat brain sensomotor cortex, aided to calculate the transitional processes of O2 tensions in neurons, capillaries and surrounding tissues during changes of the blood flow velocity in the capillaries and of the neurons respiration intensity. The model is represented in the form of a system of differential equations in particular derivatives, the solution of which was accomplished by the digital computer with the nets technique. Changes of pO2 levels within the space of modelled constructions in sharp shifts of the above parameters occurred within 2-5 sec. The time delays between the changes of these physiological parameters and the pO2 levels in neurons depended on peculiarities of neuron-capillary interrelationship, intensity of O2 consumption, blood flow velocity in the capillaries and their density.
一个数学模型描述了猫脑感觉运动皮层中具有毛细血管和锥体细胞的结构中氧气运输的动态过程,有助于计算在毛细血管血流速度和神经元呼吸强度变化期间神经元、毛细血管和周围组织中氧气张力的过渡过程。该模型以包含偏导数的微分方程组的形式表示,其解由采用网络技术的数字计算机完成。在上述参数急剧变化时,模拟结构空间内的pO2水平变化在2 - 5秒内发生。这些生理参数的变化与神经元中pO2水平之间的时间延迟取决于神经元 - 毛细血管相互关系的特性、氧气消耗强度、毛细血管中的血流速度及其密度。