Goal: We describe the relationship between mean arterial pressure (MAP) and glomerular filtration rate (GFR) since therapies affecting MAP can have large effects on kidney function. Methods: We developed a closed-loop, steady-state mechanistic model of the human kidney with a reduced parameter set estimated from measurements. Results: The model was first validated against literature models. Further, GFR was validated against intensive care patient data (root mean squared error (RMSE) 13.5 mL/min) and against hypertensive patients receiving sodium nitroprusside (SNP) (RMSE less than 5 mL/min). A sensitivity analysis of the model reinforced the fact that vascular resistance is inversely related to GFR and showed that changes to either vascular resistance or renal autoregulation cause a significant change in sodium concentration in the descending limb of Henle. Conclusions: This model can be used to determine the impact of MAP on GFR and overall kidney health. The modeling framework lends itself to personalization of the model to a specific human.

中文翻译：

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模拟平均动脉压对肾脏的稳态影响

目标：我们描述了平均动脉压 (MAP) 和肾小球滤过率 (GFR) 之间的关系，因为影响 MAP 的疗法会对肾功能产生很大影响。方法：我们开发了一个人类肾脏的闭环稳态机制模型，其中减少了从测量中估计的参数集。结果：该模型首先针对文献模型进行了验证。此外，GFR 已针对重症监护患者数据（均方根误差 (RMSE) 13.5 mL/min）和接受硝普钠 (SNP) 的高血压患者（RMSE 小于 5 mL/min）进行了验证。模型的敏感性分析强化了血管阻力与 GFR 负相关的事实，并表明血管阻力或肾脏自动调节的变化会导致 Henle 降支中钠浓度的显着变化。结论：该模型可用于确定 MAP 对 GFR 和整体肾脏健康的影响。建模框架有助于将模型个性化为特定的人。