title: Buckling instability in growing tumor spheroids.
abstract: A growing tumor is subjected to intrinsic physical forces, arising from the cellular turnover in a spatially constrained environment. This work demonstrates that such residual solid stresses can provoke a buckling instability in heterogeneous tumor spheroids. The growth rate ratio between the outer shell of proliferative cells and the inner necrotic core is the control parameter of this instability. The buckled morphology is found to depend both on the elastic and the geometric properties of the tumor components, suggesting a key role of residual stresses for promoting tumor invasiveness.
authors.affiliation: CNRS and Institut Jean le Rond d'Alembert, UMR 7190, Université Paris 6, 4 place Jussieu case 162, 75005 Paris, France and MOX-Politecnico di Milano and Fondazione CEN, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
authors.forename: P
authors.initials: P
authors.lastname: Ciarletta
mesh_terms: D000818:Animals; D017209:Apoptosis / Q000502:physiology; D001932:Brain Neoplasms / Q000473:pathology; D048708:Cell Growth Processes / Q000502:physiology; D005909:Glioblastoma / Q000473:pathology; D006367:HeLa Cells; D006801:Humans; D051379:Mice; D008954:Models, Biological; D009336:Necrosis; D009369:Neoplasms / Q000473:pathology*; D018874:Spheroids, Cellular