DuBose T D, Bidani A
Miner Electrolyte Metab. 1985;11(4):223-9.
We have developed a mathematical model utilizing steady-state mass balance considerations in a compartmental analysis of bicarbonate reabsorption in the superficial proximal tubule and associated vasculature in order to describe quantitatively the determinants of the elevated PCO2 in the renal cortex. This analysis demonstrated for the first time that diffusive transfer of CO2 between vascular segments coupled with metabolic CO2 production could account for the PCO2 measured experimentally. In the present study the predictive value of the model was extended by comparing model-predicted and measured values for PCO2 before and after administration of metabolic and transport inhibitors. In control conditions diffusive CO2 transfer (FCO2) in combination with accepted levels of metabolic CO2 production (MCO2) can account for an elevation in PCO2 to 60 mm Hg. During rotenone and DNP administration the model predicts values for PCO2 which approximate closely the value measured in vivo. In addition, the model demonstrates that the reduction in PCO2 after rotenone and increase in PCO2 after DNP can be accounted for by parallel changes in MCO2 alone as expected. In each case a significant contribution from FCO2 is necessary, however. Therefore, this study demonstrates close agreement in both the magnitude and direction of predicted and determined values in cortical PCO2 in a variety of experimental conditions, thus, supporting a dual role for the major determinants: metabolic CO2 production and diffusive vascular to vascular CO2 transfer.
我们建立了一个数学模型,该模型在对浅表近端小管和相关脉管系统中碳酸氢盐重吸收进行房室分析时,运用稳态质量平衡考量,以定量描述肾皮质中PCO2升高的决定因素。该分析首次表明,血管段之间CO2的扩散转移与代谢性CO2生成相结合,可以解释实验测得的PCO2。在本研究中,通过比较给予代谢抑制剂和转运抑制剂前后模型预测的PCO2值与实测值,扩展了该模型的预测价值。在对照条件下,扩散性CO2转移(FCO2)与公认的代谢性CO2生成水平(MCO2)相结合,可使PCO2升高至60 mmHg。在给予鱼藤酮和二硝基苯酚(DNP)期间,该模型预测的PCO2值与体内实测值非常接近。此外,该模型表明,如预期的那样,鱼藤酮给药后PCO2的降低和DNP给药后PCO2的升高仅可由MCO2的平行变化来解释。然而,在每种情况下,FCO2都有显著贡献。因此,本研究表明,在各种实验条件下,皮质PCO2的预测值与实测值在大小和方向上都密切一致,从而支持了主要决定因素的双重作用:代谢性CO2生成和血管间扩散性CO2转移。