Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999).
The model proposed by Hahnfeldt et al. (1999) describes the growth of a tumour assuming that tumour growth is strictly controlled by the evolution of the vascular network that supplies oxygen and nutrients to tumour cells. Consequently, it provides a framework to represent the effects of antiangiogenic therapies. In this paper, some possible modifications of that model are proposed, and conditions that guarantee the eradication of the tumour under a regimen of periodic antiangiogenic therapy are derived. The model variants considered assume the potential doubling time of the vasculature to be constant, and subdivide the endothelial cell pool, which is involved in angiogenesis, in resting and proliferating cells allowing for a more detailed description of drug effects.
d'Onofrio
Alberto
A
Department of Epidemiology and Biostatistics, European Institute of Oncology, Via Ripamonti 435, 20141 Milano, Italy. z20263@ieo.it
Gandolfi
Alberto
A
D020533:Angiogenesis Inhibitors / Q000627:therapeutic use*; D000970:Antineoplastic Agents / Q000627:therapeutic use; D042783:Endothelial Cells / Q000187:drug effects / Q000473:pathology; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000098:blood supply* / Q000188:drug therapy*; D009389:Neovascularization, Pathologic / Q000188:drug therapy*
D020533:Angiogenesis Inhibitors; D000970:Antineoplastic Agents