Ivanov K P
J Biomech Eng. 1986 Feb;108(1):28-32. doi: 10.1115/1.3138576.
The effects of the circulation rate in capillaries, the intensity of O2 consumption by nerve cells and the capillary network density on the O2 tension distribution in the cerebral cortex have been studied, utilizing a mathematical model simulating actual neuron-capillary relationships. The model has been written as a system of equations in partial derivatives, its solution obtained by the net-point method. Regulatory variations of the capillary circulation rate in certain cerebral microregions have been shown to ensure similar changes in oxygen supply throughout the region. A drop of the pO2 level in a cerebral microregion with a rising O2 consumption by nerve cells is shown to be due, by 75 percent, to the increase of O2 consumption and by 25 percent, to the lower pO2 in the capillaries. Conversely, an increase in pO2 in microregions resulting from a lower O2 consumption by neurons is due by 75 percent, to a pO2 rise in capillaries and by 25 percent, at the expense of an O2 consumption decrease. In cerebral regions differing in capillary network density by 20 percent, changes in the conditions for oxygen supply to tissue are due by 1/3 to pO2 variations in the capillaries and by 2/3 to alterations in the diffusion distances.
利用一个模拟实际神经元 - 毛细血管关系的数学模型，研究了毛细血管中的循环速率、神经细胞的氧气消耗强度以及毛细血管网络密度对大脑皮层氧气张力分布的影响。该模型被写成一个偏微分方程组，其解通过网点法获得。已表明，大脑某些微区域中毛细血管循环速率的调节变化可确保整个区域氧气供应发生类似变化。在神经细胞氧气消耗增加时，大脑微区域中氧分压水平的下降，75% 是由于氧气消耗的增加，25% 是由于毛细血管中较低的氧分压。相反，神经元氧气消耗减少导致微区域中氧分压升高，75% 是由于毛细血管中氧分压升高，25% 是由于氧气消耗减少。在毛细血管网络密度相差20% 的大脑区域，组织氧气供应条件的变化，1/3 是由于毛细血管中氧分压的变化，2/3 是由于扩散距离的改变。
