Giménez Á, Galarza M, Thomale U, Schuhmann M U, Valero J, Amigó J M
Operations Research Center, Miguel Hernández University, Avda. Universidad s/n, 03202 Elche (Alicante), Spain
Regional Department of Neurosurgery, Virgen de la Arrixaca University Hospital, 30120 El Palmar (Murcia), Spain.
Philos Trans A Math Phys Eng Sci. 2017 Jun 28;375(2096). doi: 10.1098/rsta.2016.0294.
The obstruction of ventricular catheters (VCs) is a major problem in the standard treatment of hydrocephalus, the flow pattern of the cerebrospinal fluid (CSF) being one important factor thereof. As a first approach to this problem, some of the authors studied previously the CSF flow through VCs under time-independent boundary conditions by means of computational fluid dynamics in three-dimensional models. This allowed us to derive a few basic principles which led to designs with improved flow patterns regarding the obstruction problem. However, the flow of the CSF has actually a pulsatile nature because of the heart beating and blood flow. To address this fact, here we extend our previous computational study to models with oscillatory boundary conditions. The new results will be compared with the results for constant flows and discussed. It turns out that the corrections due to the pulsatility of the CSF are quantitatively small, which reinforces our previous findings and conclusions.This article is part of the themed issue 'Mathematical methods in medicine: neuroscience, cardiology and pathology'.
脑室导管(VCs)阻塞是脑积水标准治疗中的一个主要问题,脑脊液(CSF)的流动模式是其中一个重要因素。作为解决该问题的第一步,一些作者之前通过三维模型中的计算流体动力学研究了在与时间无关的边界条件下脑脊液通过脑室导管的流动情况。这使我们能够得出一些基本原理,这些原理促成了针对阻塞问题的具有改善流动模式的设计。然而,由于心脏跳动和血流,脑脊液的流动实际上具有脉动性质。为了考虑这一事实,在此我们将之前的计算研究扩展到具有振荡边界条件的模型。新结果将与恒定流的结果进行比较并讨论。结果表明,由于脑脊液脉动引起的修正量在数量上很小,这强化了我们之前的发现和结论。本文是主题为“医学中的数学方法:神经科学、心脏病学和病理学”的特刊的一部分。