TY - JOUR
T1 - Mathematical modelling of glioblastoma tumour development
T2 - A review
AU - Hatzikirou, Haralampos
AU - Deutsch, Andreas
AU - Schaller, Carlo
AU - Simon, Matthias
AU - Swanson, Kristin
PY - 2005/11
Y1 - 2005/11
N2 - During the past several years mathematical models have been applied to various aspects of cancer dynamics, in particular avascular and vascular tumour growth, invasion, angiogenesis, and metastasis. This paper focuses on the most common and malignant brain tumour, glioblastoma, and surveys the growing number of studies dealing with mathematical modelling of this tumour. We attempt to classify these studies by their biomedical relevance and critically analyse their results. The aim of this review is to provide a meaningful reference, to both biomedical and mathematical researchers, of the current state of the art of glioma tumour modelling. The discussion attempts to identify current open problems as well as new research perspectives in the mathematical modelling of glioblastoma growth.
AB - During the past several years mathematical models have been applied to various aspects of cancer dynamics, in particular avascular and vascular tumour growth, invasion, angiogenesis, and metastasis. This paper focuses on the most common and malignant brain tumour, glioblastoma, and surveys the growing number of studies dealing with mathematical modelling of this tumour. We attempt to classify these studies by their biomedical relevance and critically analyse their results. The aim of this review is to provide a meaningful reference, to both biomedical and mathematical researchers, of the current state of the art of glioma tumour modelling. The discussion attempts to identify current open problems as well as new research perspectives in the mathematical modelling of glioblastoma growth.
KW - Avascular tumour growth
KW - Glioblastoma multiforme
KW - Invasion
KW - Mathematical modelling
KW - Therapy
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U2 - 10.1142/S0218202505000960
DO - 10.1142/S0218202505000960
M3 - Article
AN - SCOPUS:27644518361
SN - 0218-2025
VL - 15
SP - 1779
EP - 1794
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 11
ER -