Integrative mathematical oncology

被引:297
作者
Anderson, Alexander R. A. [1 ]
Quaranta, Vito [2 ]
机构
[1] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland
[2] Vanderbilt Univ, Sch Med, Dept Canc Biol, Nashville, TN 37232 USA
关键词
D O I
10.1038/nrc2329
中图分类号
R73 [肿瘤学];
学科分类号
100214 ;
摘要
Cancer research attracts broad resources and scientists from many disciplines, and has produced some impressive advances in the treatment and understanding of this disease. However, a comprehensive mechanistic view of the cancer process remains elusive. To achieve this it seems clear that one must assemble a physically integrated team of interdisciplinary scientists that includes mathematicians, to develop mathematical models of tumorigenesis as a complex process. Examining these models and validating their findings by experimental and clinical observations seems to be one way to reconcile molecular reductionist with quantitative holistic approaches and produce an integrative mathematical oncology view of cancer progression.
引用
收藏
页码:227 / 234
页数:8
相关论文
共 59 条
[41]  
Perumpanani AJ, 1996, INVAS METAST, V16, P209
[42]   A CELLULAR AUTOMATON MODEL OF CANCEROUS GROWTH [J].
QI, AS ;
ZHENG, X ;
DU, CY ;
AN, BS .
JOURNAL OF THEORETICAL BIOLOGY, 1993, 161 (01) :1-12
[43]   An immersed boundary framework for modelling the growth of individual cells: An application to the early tumour development [J].
Rejniak, Katarzyna A. .
JOURNAL OF THEORETICAL BIOLOGY, 2007, 247 (01) :186-204
[44]   Modeling intercellular interactions during carcinogenesis [J].
Sachs, RK ;
Chan, M ;
Hlatky, L ;
Hahnfeldt, P .
RADIATION RESEARCH, 2005, 164 (03) :324-331
[45]   ONCOGENES, ANTIONCOGENES AND THE IMMUNE-RESPONSE TO CANCER - A MATHEMATICAL-MODEL [J].
SHERRATT, JA ;
NOWAK, MA .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1992, 248 (1323) :261-271
[46]   Metabolic changes during carcinogenesis: Potential impact on invasiveness [J].
Smallbone, Kieran ;
Gatenby, Robert A. ;
Gillies, Robert J. ;
Maini, Philip K. ;
Gavaghan, David J. .
JOURNAL OF THEORETICAL BIOLOGY, 2007, 244 (04) :703-713
[47]   COMPUTER-SIMULATION OF TUMOR-CELL INVASION BY A STOCHASTIC GROWTH-MODEL [J].
SMOLLE, J ;
STETTNER, H .
JOURNAL OF THEORETICAL BIOLOGY, 1993, 160 (01) :63-72
[48]   Stochastic simulation of benign avascular tumour growth using the Potts model [J].
Stott, EL ;
Britton, NF ;
Glazier, JA ;
Zajac, M .
MATHEMATICAL AND COMPUTER MODELLING, 1999, 30 (5-6) :183-198
[49]   Virtual and real brain tumors: using mathematical modeling' to quantify glioma growth and invasion [J].
Swanson, KR ;
Bridge, C ;
Murray, JD ;
Alvord, EC .
JOURNAL OF THE NEUROLOGICAL SCIENCES, 2003, 216 (01) :1-10
[50]   Selection, the mutation rate and cancer: Ensuring that the tail does not wag the dog [J].
Tomlinson, I ;
Bodmer, W .
NATURE MEDICINE, 1999, 5 (01) :11-12