Kisliakov Iu Ia, Luchakov Iu I
Fiziol Zh SSSR Im I M Sechenova. 1983 Dec;69(12):1529-36.
A mathematical model of the O2 transport within the brain aided to calculate the transitional processes of O2 tension in stepwise increase of the O2 amount in arterial blood as well as in alterations of the main physiological and morphological factors determining the O2 content and its changes in the organs and tissues under these conditions. The mathematical model took into consideration the actual data of mass-transfer in the microcirculation system and was described in the form of differential equations which had been solved by a digital computer with the aid of nets technique. The change of the pO2 mean level within the space of the modelled construction and under the conditions of the stepwise alterations of the above factors, was shown to be actualized during a period of time longer by order than in normoxia. Parameters of the transitional processes of saturation of the brain tissue with oxygen were shown to depend on the O2 content in arterial blood, on the blood flow velocity in capillaries and their density.
一个大脑内氧气运输的数学模型有助于计算动脉血中氧气量逐步增加时氧气张力的过渡过程，以及在这些条件下决定器官和组织中氧气含量及其变化的主要生理和形态学因素的变化。该数学模型考虑了微循环系统中传质的实际数据，并以微分方程的形式描述，这些微分方程已借助网络技术由数字计算机求解。在模拟结构空间内以及上述因素逐步变化的条件下，pO2平均水平的变化显示在比常氧时长一个数量级的时间段内实现。脑组织氧气饱和过渡过程的参数显示取决于动脉血中的氧气含量、毛细血管中的血流速度及其密度。
