Department Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO, USA.
Department of Mathematics, University of Missouri, Columbia, MO, USA.
Bull Math Biol. 2024 Aug 24;86(10):122. doi: 10.1007/s11538-024-01320-1.
Spontaneous filling and voiding cycles represent a key dynamical feature of the healthy lower urinary tract. Some urinary tract dysfunctions, such as over-flow incontinence, may alter the natural occurrence of these cycles. As the function of the lower urinary tract arises from the interplay of a multitude of factors, it is difficult to determine which of them can be modulated to regain spontaneous cycles. In this study, we develop a mathematical model of the lower urinary tract that can capture filling and voiding cycles in the form of periodic solutions of a system of ordinary differential equations. After experimental validation, we utilize this model to study the effect that several physiological quantities have on the onset of cycles. We find that some parameters have an associated numerical threshold that determines whether the system exhibits healthy cycles or settles in a state of constant overflow.
自发性充盈和排空周期是健康下尿路的一个关键动力学特征。一些尿路功能障碍，如溢出性失禁，可能会改变这些周期的自然发生。由于下尿路的功能来自于众多因素的相互作用，因此很难确定哪些因素可以被调节以恢复自发性周期。在这项研究中，我们开发了一个下尿路的数学模型，该模型可以用一个常微分方程组的周期解的形式来捕捉充盈和排空周期。在经过实验验证后，我们利用该模型来研究几种生理量对周期出现的影响。我们发现，一些参数具有相关的数值阈值，决定了系统是表现出健康的周期还是稳定在持续溢出的状态。
