title: The role of mechanical host-tumour interactions in the collapse of tumour blood vessels and tumour growth dynamics.
abstract: A mathematical model of residual stress evolution in a growing vascular tumour is presented, in an attempt to elucidate the poorly understood phenomenon of vascular collapse. Whereas earlier studies in this area have neglected the effects of mechanical interactions between the tumour and the surrounding host tissue, the significance of these interactions for the long-term development of a tumour is now considered. The model predicts tumour stress distributions which reflect the distinctive patterns of vascular collapse reported in experimental studies. Moreover, while neglecting mechanical host/tumour interactions results in the eventual complete regression of the tumour to its avascular dormant size in the event of vascular collapse, this new model points to the possibility of oscillations in the tumour's size in the long term.
authors.affiliation: School of Mathematical Sciences, Queensland University of Technology, G.P.O. Box 2434, Brisbane, Qld 4001, Australia. raraujo@gmu.edu
authors.forename: R P
authors.initials: RP
authors.lastname: Araujo
authors.forename: D L S
authors.initials: DL
authors.lastname: McElwain
mesh_terms: D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000098:blood supply* / Q000473:pathology / Q000503:physiopathology; D009389:Neovascularization, Pathologic / Q000473:pathology / Q000503:physiopathology*; D013314:Stress, Mechanical