Sacco Riccardo, Chiaravalli Greta, Antman Gal, Guidoboni Giovanna, Verticchio Alice, Siesky Brent, Harris Alon
Dipartimento di Matematica, Politecnico di Milano, 20133 Milano, Italy.
College of Engineering, University of Maine, Orono, Maine 04469, USA.
Phys Fluids (1994). 2023 Jun;35(6):061902. doi: 10.1063/5.0151091. Epub 2023 Jun 7.
In this article, we propose a theoretical model leveraging the analogy between fluid and electric variables to investigate the relation among aqueous humor (AH) circulation and drainage and intraocular pressure (IOP), the principal established risk factor of severe neuropathologies of the optic nerve such as glaucoma. IOP is the steady-state result of the balance among AH secretion (AHs), circulation (AHc), and drainage (AHd). AHs are modeled as a given volumetric flow rate electrically corresponding to an input current source. AHc is modeled by the series of two linear hydraulic conductances (HCs) representing the posterior and anterior chambers. AHd is modeled by the parallel of three HCs: a linear HC for the conventional adaptive route (ConvAR), a nonlinear HC for the hydraulic component of the unconventional adaptive route (UncAR), and a nonlinear HC for the drug-dependent component of the UncAR. The proposed model is implemented in a computational virtual laboratory to study the value attained by the IOP under physiological and pathological conditions. Simulation results () confirm the conjecture that the UncAR acts as a relief valve under pathological conditions, () indicate that the drug-dependent AR is the major opponent to IOP increase in the case of elevated trabecular meshwork resistance, and () support the use of the model as a quantitative tool to complement studies and help design and optimize medications for ocular diseases.
在本文中,我们提出了一个理论模型,利用流体变量与电变量之间的类比关系,来研究房水(AH)循环、引流与眼压(IOP)之间的关系,眼压是青光眼等视神经严重神经病变的主要既定风险因素。眼压是房水分泌(AHs)、循环(AHc)和引流(AHd)之间平衡的稳态结果。房水分泌被建模为与输入电流源电对应给定体积流量。房水循环由代表后房和前房的两个线性液压传导率(HCs)串联来建模。房水引流由三个液压传导率并联来建模:一个用于传统适应性途径(ConvAR)的线性液压传导率,一个用于非传统适应性途径(UncAR)液压成分的非线性液压传导率,以及一个用于非传统适应性途径药物依赖性成分的非线性液压传导率。所提出的模型在计算虚拟实验室中实现,以研究在生理和病理条件下眼压所达到的值。模拟结果()证实了非传统适应性途径在病理条件下起安全阀作用的推测,()表明在小梁网阻力升高的情况下,药物依赖性适应性途径是眼压升高的主要对抗因素,并且()支持将该模型用作定量工具,以补充研究并帮助设计和优化眼部疾病的药物。