Residual stress generation and necrosis formation in multi-cell tumour spheroids

摘要: We consider how cell proliferation and death generate residual stresses within a multi-cell tumour spheroid (MCTS). Previous work by Jones co-workers [8] has shown that isotropic growth in purely elastic MCTS produces induced which eventually become unbounded, hence are physically unrealistic. Since viscoelastic materials show stress relaxation under fixed deformation we the effect of addition small amount viscosity to system examining formation equilibrium profiles Maxwell type MCTS. A model necrosis based upon proposed Please (see [16] [17] [18]) is then presented forms conditions adverse mechanical rather than regions extreme chemical as usually assumed. The influence rheology on investigated, it excessive generated can be relieved either some or accounting for an inner necrotic interface with appropriate boundary condition.