Layton Anita T
Department of Mathematics, Duke University, P.O. Box 90320, Durham, NC 27708-0320, USA.
ISRN Biomath. 2012 Jul 12;2012(2012). doi: 10.5402/2012/170594.
The kidney plays an indispensable role in the regulation of whole-organism water balance, electrolyte balance, and acid-base balance, and in the excretion of metabolic wastes and toxins. In this paper, we review representative mathematical models that have been developed to better understand kidney physiology and pathophysiology, including the regulation of glomerular filtration, the regulation of renal blood flow by means of the tubuloglomerular feedback mechanisms and of the myogenic mechanism, the urine concentrating mechanism, and regulation of renal oxygen transport. We discuss how such modeling efforts have significantly expanded our understanding of renal function in both health and disease.
肾脏在调节机体水平衡、电解质平衡和酸碱平衡以及排泄代谢废物和毒素方面发挥着不可或缺的作用。在本文中,我们回顾了为更好地理解肾脏生理学和病理生理学而开发的代表性数学模型,包括肾小球滤过的调节、通过管球反馈机制和肌源机制对肾血流量的调节、尿液浓缩机制以及肾氧转运的调节。我们讨论了这些建模工作如何显著扩展了我们对健康和疾病状态下肾功能的理解。