Tumour angiogenesis model with variable vessels' effectiveness

Jan Poleszczuk, and Iwona Skrzypczak. "Tumour angiogenesis model with variable vessels' effectiveness." Applicationes Mathematicae 38.1 (2011): 33-49. <http://eudml.org/doc/279916>.

@article{JanPoleszczuk2011,
abstract = {We propose a model of vascular tumour growth, which generalises the well recognised model formulated by Hahnfeldt et al. in 1999. Our model is based on the same idea that the carrying capacity for any solid tumour depends on its vessel density but it also incorporates vasculature quality which may be lost during angiogenesis as recognised by Jain in 2005. In the model we assume that the loss of vessel quality affects the diffusion coefficient inside the tumour. We analyse basic mathematical properties of the proposed model and present some numerical simulations.},
author = {Jan Poleszczuk, Iwona Skrzypczak},
journal = {Applicationes Mathematicae},
keywords = {vessel impairment; chemotherapy; antiangiogenic treatment},
language = {eng},
number = {1},
pages = {33-49},
title = {Tumour angiogenesis model with variable vessels' effectiveness},
url = {http://eudml.org/doc/279916},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Jan Poleszczuk
AU - Iwona Skrzypczak
TI - Tumour angiogenesis model with variable vessels' effectiveness
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 1
SP - 33
EP - 49
AB - We propose a model of vascular tumour growth, which generalises the well recognised model formulated by Hahnfeldt et al. in 1999. Our model is based on the same idea that the carrying capacity for any solid tumour depends on its vessel density but it also incorporates vasculature quality which may be lost during angiogenesis as recognised by Jain in 2005. In the model we assume that the loss of vessel quality affects the diffusion coefficient inside the tumour. We analyse basic mathematical properties of the proposed model and present some numerical simulations.
LA - eng
KW - vessel impairment; chemotherapy; antiangiogenic treatment
UR - http://eudml.org/doc/279916
ER -