Praljak Niksa, Ryan Shawn D, Resnick Andrew
Department of Mathematics and Statistics, Cleveland State University, Cleveland OH 44115, USA.
Department of Physics, Cleveland State University, Cleveland OH 44115, USA.
Math Biosci Eng. 2019 Dec 17;17(2):1787-1807. doi: 10.3934/mbe.2020094.
Kidney tubules are lined with flow-sensing structures, yet information about the flow itself is not easily obtained. We aim to generate a multiscale biomechanical model for analyzing fluid flow and fluid-structure interactions within an elastic kidney tubule when the driving pressure is pulsatile. We developed a two-dimensional macroscopic mathematical model of a single fluid-filled tubule corresponding to a distal nephron segment and determined both flow dynamics and wall strains over a range of driving frequencies and wall compliances using finite-element analysis. The results presented here demonstrate good agreement with available analytical solutions and form a foundation for future inclusion of elastohydrodynamic coupling by neighboring tubules. Overall, we are interested in exploring the idea of to better understand the progression of chronic kidney diseases such as Polycystic Kidney Disease.
肾小管内衬有流量传感结构，但关于流量本身的信息却不易获取。我们旨在生成一个多尺度生物力学模型，用于分析弹性肾小管内驱动压力呈脉动时的流体流动及流固相互作用。我们针对对应远曲小管段的单个充满流体的小管，开发了一个二维宏观数学模型，并使用有限元分析确定了一系列驱动频率和管壁顺应性下的流动动力学和管壁应变。此处呈现的结果与现有的解析解吻合良好，并为未来纳入相邻小管的弹性流体动力耦合奠定了基础。总体而言，我们有兴趣探索相关理念，以更好地理解诸如多囊肾病等慢性肾病的进展。
