Does tumor growth follow a "universal law"?

A general model for the ontogenetic growth of living organisms has been recently proposed. Here we investigate the extension of this model to the growth of solid malignant tumors. A variety of in vitro and in vivo data are analysed and compared with the prediction of a "universal" law, relating properly rescaled tumor masses and tumor growth times. The results support the notion that tumor growth follows such a universal law. Several important implications of this finding are discussed, including its relevance for tumor metastasis and recurrence, cell turnover rates, angiogenesis and invasion.

[1]  S. Torquato,et al.  Pattern of self‐organization in tumour systems: complex growth dynamics in a novel brain tumour spheroid model , 2001, Cell proliferation.

[2]  A Romano,et al.  Analysis of a "phase transition" from tumor growth to latency. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Georg Breier,et al.  Vascular endothelial growth factor is a potential tumour angiogenesis factor in human gliomas in vivo , 1992, Nature.

[4]  James H. Brown,et al.  A general model for ontogenetic growth , 2001, Nature.

[5]  J. Folkman Tumor angiogenesis: therapeutic implications. , 1971, The New England journal of medicine.

[6]  B. Lord,et al.  Growth Kinetics of Tumours , 1978, British Journal of Cancer.

[7]  Robert R. Smith,et al.  The time of metastasis and release of circulating tumor cells as determined in an experimental system , 1961, Cancer.

[8]  M Tubiana,et al.  Klaas Breur Medal lecture 1985. The growth and progression of human tumors: implications for management strategy. , 1986, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.

[9]  James H Brown,et al.  Allometric scaling of metabolic rate from molecules and mitochondria to cells and mammals , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[10]  A C Ruifrok,et al.  Growth characteristics of glioblastoma spheroids. , 2001, International journal of oncology.

[11]  J. Ramsay,et al.  Experimental studies on the incidence of metastases after failure of radiation treatment and the effect of salvage surgery. , 1988, International journal of radiation oncology, biology, physics.

[12]  R. S. Schechter,et al.  Real-Time Parallel Computation and Visualization of Ultrasonic Pulses in Solids , 1994, Science.

[13]  M Scalerandi,et al.  Local interaction simulation approach for the response of the vascular system to metabolic changes of cell behavior. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  L. Norton A Gompertzian model of human breast cancer growth. , 1988, Cancer research.

[15]  C. Ling,et al.  Modeling the development of metastases from primary and locally recurrent tumors: comparison with a clinical data base for prostatic cancer. , 1993, Cancer research.

[16]  C B Begg,et al.  The effect of local control on metastatic dissemination in carcinoma of the prostate: long-term results in patients treated with 125I implantation. , 1991, International journal of radiation oncology, biology, physics.

[17]  P. Marchetti,et al.  Radiosensitization by oxaliplatin in a mouse adenocarcinoma: influence of treatment schedule. , 2002, International journal of radiation oncology, biology, physics.

[18]  Pier Paolo Delsanto,et al.  Growth model for multicellular tumor spheroids , 2003, physics/0307136.

[19]  E R Laws,et al.  Human malignant astrocytoma xenografts migrate in rat brain: A model for central nervous system cancer research , 1989, Journal of neuroscience research.

[20]  M. Menger,et al.  Glioma cell migration is associated with glioma-induced angiogenesis in vivo , 1999, International Journal of Developmental Neuroscience.

[21]  Pier Paolo Delsanto,et al.  Nutrient competition as a determinant for cancer growth , 1999 .

[22]  E. Keshet,et al.  Vascular endothelial growth factor induced by hypoxia may mediate hypoxia-initiated angiogenesis , 1992, Nature.

[23]  D Liberati,et al.  Forecasting the growth of multicell tumour spheroids: implications for the dynamic growth of solid tumours , 2000, Cell proliferation.

[24]  J. Freyer,et al.  Regulation of growth saturation and development of necrosis in EMT6/Ro multicellular spheroids by the glucose and oxygen supply. , 1986, Cancer research.

[25]  Robert H. Wardwell,et al.  Computer simulation of a breast cancer metastasis model , 1997, Breast Cancer Research and Treatment.