Feedback-mediated dynamics in a model of a compliant thick ascending limb.
Feedback-mediated dynamics in a model of a compliant thick ascending limb.
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DOI：
10.1016/j.mbs.2010.10.002
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发表时间：
2010-12
影响因子：
4.3
通讯作者：
Layton AT
中科院分区：
文献类型：
--
作者：
Layton AT
肾脏中的肾小管肾小球反馈（TGF）系统是滤过率的关键调节器，在大鼠的生理实验中已显示其介导肾小管流体压力和流量的振荡，以及粗升支（TAL）的肾小管流体中的NaCl浓度的振荡。在这项研究中，我们开发了一个数学模型的TGF系统，表示NaCl运输沿着TAL与顺应性的墙壁。该模型被用来研究TGF系统的动力学行为。通过对TGF模型方程进行线性化得到特征方程，并求其根，从而对TGF模型方程进行了分岔分析。对完整模型方程进行了数值模拟，以帮助解释分叉分析。这些技术揭示了一个复杂的参数区域，允许各种定性不同的模型解决方案：一个政权有一个稳定的，与时间无关的稳态解;政权只有一个稳定的振荡解决方案;和政权有多个可能的稳定的振荡解决方案。模型结果表明，TAL壁的顺应性增加了模型TGF系统振荡的趋势。
The tubuloglomerular feedback (TGF) system in the kidney, which is a key regulator of filtration rate, has been shown in physiologic experiments in rats to mediate oscillations in tubular fluid pressure and flow, and in NaCl concentration in the tubular fluid of the thick ascending limb (TAL). In this study, we developed a mathematical model of the TGF system that represents NaCl transport along a TAL with compliant walls. The model was used to investigate the dynamic behaviors of the TGF system. A bifurcation analysis of the TGF model equations was performed by deriving and finding roots of the characteristic equation, which arises from a linearization of the model equations. Numerical simulations of the full model equations were conducted to assist in the interpretation of the bifurcation analysis. These techniques revealed a complex parameter region that allows a variety of qualitatively different model solutions: a regime having one stable, time-independent steady-state solution; regimes having one stable oscillatory solution only; and regimes having multiple possible stable oscillatory solutions. Model results suggest that the compliance of the TAL walls increases the tendency of the model TGF system to oscillate.
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影响因子：
6.6
作者：
Angell, SK;Pruthi, RS;Shortliffe, LD
通讯作者：
Shortliffe, LD
DOI：
10.1152/ajprenal.1995.268.1.f163
发表时间：
1995-01-01
期刊：
AMERICAN JOURNAL OF PHYSIOLOGY-RENAL FLUID AND ELECTROLYTE PHYSIOLOGY
影响因子：
--
作者：
LAYTON, HE;PITMAN, EB;MOORE, LC
通讯作者：
MOORE, LC
影响因子：
--
作者：
HOLSTEINRATHLOU, NH;MARSH, DJ
通讯作者：
MARSH, DJ
影响因子：
3.5
作者：
LAYTON, HE;PITMAN, EB
通讯作者：
PITMAN, EB
影响因子：
3.4
作者：
SAKAI, T;CRAIG, DA;MARSH, DJ
通讯作者：
MARSH, DJ