title: On the stability of a spherical tumour.
abstract: The mathematical analysis of the tumour growth attracted a lot of interest in the last two decades. However, as of today no generally accepted model for tumour growth exists. This is due partially to the incomplete understanding of the related pathology as well as the extremely complicated procedure that guides the evolution of a tumour. In the present work, we analyse the stability of a spherical tumour for four continuous models of an avascular tumour. Conditions for the stability are stated and the results are implemented numerically. It is observed that the steady-state radii that secure the stability of the tumour are different for each of the four models, although the differences are not very pronounced.
authors.affiliation: Department of Chemical Engineering, University of Patras and FORTH/ICE-HT, Patras, Greece gdassios@chemeng.upatras.gr.
authors.forename: George
authors.initials: G
authors.lastname: Dassios
authors.affiliation: Department of Chemical Engineering, University of Patras and FORTH/ICE-HT, Patras, Greece.
authors.forename: Vasiliki
authors.initials: V
authors.lastname: Christina Panagiotopoulou
mesh_terms: D006801:Humans; D008962:Models, Theoretical; D009369:Neoplasms / Q000473:pathology*
keywords: free boundary value problem; tumour growth