Sgouralis Ioannis, Layton Anita T
National Institute for Mathematical and Biological Synthesis, University of Tennessee, Knoxville, TN, USA
Department of Mathematics, Duke University, Durham, NC, USA.
Math Med Biol. 2016 Mar;33(1):87-106. doi: 10.1093/imammb/dqv005. Epub 2015 Mar 19.
The nephron in the kidney regulates its fluid flow by several autoregulatory mechanisms. Two primary mechanisms are the myogenic response and the tubuloglomerular feedback (TGF). The myogenic response is a property of the pre-glomerular vasculature in which a rise in intravascular pressure elicits vasoconstriction that generates a compensatory increase in vascular resistance. TGF is a negative feedback response that balances glomerular filtration with tubular reabsorptive capacity. While each nephron has its own autoregulatory response, the responses of the kidney's many nephrons do not act autonomously but are instead coupled through the pre-glomerular vasculature. To better understand the conduction of these signals along the pre-glomerular arterioles and the impacts of internephron coupling on nephron flow dynamics, we developed a mathematical model of renal haemodynamics of two neighbouring nephrons that are coupled in that their afferent arterioles arise from a common cortical radial artery. Simulations were conducted to estimate internephron coupling strength, determine its dependence on vascular properties and to investigate the effect of coupling on TGF-mediated flow oscillations. Simulation results suggest that reduced gap-junctional conductances may yield stronger internephron TGF coupling and highly irregular TGF-mediated oscillations in nephron dynamics, both of which experimentally have been associated with hypertensive rats.
肾脏中的肾单位通过多种自身调节机制来调节其液体流动。两种主要机制是肌源性反应和肾小管-肾小球反馈(TGF)。肌源性反应是肾小球前血管系统的一种特性,其中血管内压力升高会引发血管收缩,从而导致血管阻力产生代偿性增加。TGF是一种负反馈反应,可使肾小球滤过与肾小管重吸收能力保持平衡。虽然每个肾单位都有其自身的自身调节反应,但肾脏中众多肾单位的反应并非独立起作用,而是通过肾小球前血管系统相互耦合。为了更好地理解这些信号沿肾小球前小动脉的传导以及肾单位间耦合对肾单位血流动力学的影响,我们建立了两个相邻肾单位肾血流动力学的数学模型,这两个肾单位相互耦合,因为它们的入球小动脉起源于同一条皮质放射状动脉。通过模拟来估计肾单位间耦合强度,确定其对血管特性的依赖性,并研究耦合对TGF介导的血流振荡的影响。模拟结果表明,间隙连接电导降低可能会产生更强的肾单位间TGF耦合以及肾单位动力学中高度不规则的TGF介导振荡,这两者在实验上都与高血压大鼠有关。