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 analyse what is perhaps the simplest setup of this problem: the buckling of an elastic rod with fixed ends driven by spatially varying 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 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.
Active fluctuations induce buckling of living surfaces
Ludwig-Maximilians-Universität München（慕尼黑大学）；Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München（慕尼黑大学物理系阿诺德·索末菲理论物理中心与纳米科学中心）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）；Helmholtz Centre for Infection Research（赫尔霍兹感染研究中心）；Technische Universität Braunschweig（布伦瑞克工业大学）；Max Planck School Matter to Life（马克斯·普朗克物质生命学院）
A phase-field model for viscoelastic compressible tumor growth
Technische Universität Bergakademie Freiberg（弗莱贝格工业大学）；Worcester Polytechnic Institute（伍斯特理工学院）；University of Electronic Science and Technology of China（电子科技大学）；University of California Irvine（加州大学尔湾分校）；Hochschule für Technik und Wirtschaft Dresden（德累斯顿应用技术大学）；Center for Systems Biology Dresden（德累斯顿系统生物学中心）；Cluster of Excellence Physics of Life, TU Dresden（德累斯顿工业大学生命物理卓越集群）
