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
[11]   Free boundary value problems associated with the growth and development of multicellular spheroids [J].
Byrne, HM ;
Chaplain, MAJ .
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 1997, 8 :639-658
[12]   MUTATION SELECTION AND NATURAL-HISTORY OF CANCER [J].
CAIRNS, J .
NATURE, 1975, 255 (5505) :197-200
[13]  
CAMPBELL NA, 2002, CONCEPTS CONNECTIONS
[14]   Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development [J].
Chaplain, M. A. J. ;
Graziano, L. ;
Preziosi, L. .
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2006, 23 (03) :197-229
[15]   Analysis of a generic model of eukaryotic cell-cycle regulation [J].
Csikasz-Nagy, Attila ;
Battogtokh, Dorjsuren ;
Chen, Katherine C. ;
Novak, Bela ;
Tyson, John J. .
BIOPHYSICAL JOURNAL, 2006, 90 (12) :4361-4379
[16]  
Dormann Sabine, 2002, In Silico Biology, V2, P393
[17]   Individual-based approaches to birth and death in avascular tumors [J].
Drasdo, D ;
Höhme, S .
MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (11) :1163-1175
[18]   TUMOR-GROWTH SIMULATION [J].
DUCHTING, W .
COMPUTERS & GRAPHICS, 1990, 14 (3-4) :505-508
[19]   A mathematical model of breast cancer development, local treatment and recurrence [J].
Enderling, Heiko ;
Chaplain, Mark A. J. ;
Anderson, Alexander R. A. ;
Vaidya, Jayant S. .
JOURNAL OF THEORETICAL BIOLOGY, 2007, 246 (02) :245-259
[20]  
Ferreira SC, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.021907