A Numerical Study on the Influence of Cerebrospinal Fluid Pressure on Brain Folding

A Numerical Study on the Influence of Cerebrospinal Fluid Pressure on Brain Folding
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脑脊液压力对脑折叠影响的数值研究

DOI:
10.1115/1.4057020
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发表时间:
2023
期刊:
Journal of Applied Mechanics
影响因子:
--
通讯作者:
Holland, Maria A.
Holland, Maria A.
中科院分区:
--
文献类型:
--
作者:
Jafarabadi, Fatemeh;Wang, Shuolun;Holland, Maria A.

文献摘要

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在过去的几十年里,层状材料的屈曲不稳定性一直是分析、实验和数值研究的主题。这些体系传统上被认为具有无应力表面,而表面压力的影响研究得还不够深入。在这项研究中,我们建立了一个承受压缩的双层的有限元模型,并发现它在表面压力下的行为不同。我们研究了双层系统在两种压缩模式(外加和内生)下的屈曲起始、初始波长和后屈曲行为。在广泛的刚度比1<μf/μS<100中,我们观察到表面压力存在时稳定性降低,特别是在低硬度对比区域,μf/μS<10。我们的结果表明压力边界条件对于双层系统稳定性分析的重要性,特别是在软和生物物理中,例如在脑脊液压力下大脑皮层的折叠,其中压力可能影响形态发生和屈曲模式。
Over the past decades, the buckling instability of layered materials has been the subject of analytical, experimental, and numerical research. These systems have traditionally been considered with stress-free surfaces, and the influence of surface pressure is understudied. In this study, we developed a finite element model of a bilayer experiencing compression, and found that it behaves differently under surface pressure. We investigated the onset of buckling, the initial wavelength, and the post-buckling behavior of a bilayer system under two modes of compression (externally applied and internally generated by growth). Across a wide range of stiffness ratios, 1 < μf/μs< 100, we observed decreased stability in the presence of surface pressure, especially in the low-stiffness-contrast regime, μf/μs< 10. Our results suggest the importance of pressure boundary conditions for the stability analysis of bilayered systems, especially in soft and living matter physics, such as folding of the cerebral cortex under cerebrospinal fluid pressure, where pressure may affect morphogenesis and buckling patterns.