Buckling by disordered growth.

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-11-01 DOI:10.1103/PhysRevE.110.054405
Rahul G Ramachandran, Ricard Alert, Pierre A Haas
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引用次数: 0

Abstract

Buckling instabilities driven by tissue growth underpin key developmental events such as the folding of the brain. Tissue growth is disordered due to cell-to-cell variability, but the effects of this variability on buckling are unknown. Here, we analyze what is perhaps the simplest setup of this problem: the buckling of an elastic rod with fixed ends driven by spatially varying, yet highly symmetric growth. Combining analytical calculations for simple growth fields and numerical sampling of random growth fields, we show that variability can increase as well as decrease the growth threshold for buckling, even when growth variability does not cause any residual stresses. For random growth, we find numerically that the shift of the buckling threshold correlates with spatial moments of the growth field. Our results imply that biological systems can either trigger or avoid buckling by exploiting the spatial arrangement of growth variability.

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由组织生长驱动的屈曲不稳定性是大脑折叠等关键发育事件的基础。由于细胞间的可变性,组织生长是无序的,但这种可变性对屈曲的影响尚不清楚。在此,我们分析了这一问题的最简单设置:一根两端固定的弹性杆在空间变化但高度对称的生长驱动下发生屈曲。结合对简单生长场的分析计算和对随机生长场的数值取样,我们表明,即使生长变化不会导致任何残余应力,变化也会增加或降低屈曲的生长阈值。对于随机生长,我们在数值上发现,屈曲阈值的移动与生长场的空间矩相关。我们的结果表明,生物系统可以通过利用生长变异的空间排列来触发或避免屈曲。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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