The role of acidity in solid tumour growth and invasion.

[1]  J. Shirlaw.  THE METABOLISM OF TUMOURS , 1931 .

[2]  E. Boyland.  Metabolism of Tumours , 1940, Nature.

[3]  Laird Ak.  DYNAMICS OF TUMOR GROWTH. , 1964 .

[4]  A. K. Laird.  Dynamics of Tumour Growth , 1964, British Journal of Cancer.

[5]  Burton Ac,et al.  Rate of growth of solid tumours as a problem of diffusion. , 1966, Growth.

[6]  A C Burton,et al.  Rate of growth of solid tumours as a problem of diffusion. , 1966, Growth.

[7]  H. Greenspan.  Models for the Growth of a Solid Tumor by Diffusion , 1972 .

[8]  D. McElwain,et al.  Apoptosis as a volume loss mechanism in mathematical models of solid tumor growth , 1978 .

[9]  I. Fidler,et al.  Biological diversity in metastatic neoplasms: origins and implications. , 1982, Science.

[10]  P. Okunieff,et al.  Blood flow, oxygen and nutrient supply, and metabolic microenvironment of human tumors: a review. , 1989, Cancer research.

[11]  S. V. Sotirchos,et al.  Variations in tumor cell growth rates and metabolism with oxygen concentration, glucose concentration, and extracellular pH , 1992, Journal of cellular physiology.

[12]  T. Morita,et al.  Clastogenicity of low pH to various cultured mammalian cells. , 1991, Mutation research.

[13]  R K Jain,et al.  Noninvasive measurement of interstitial pH profiles in normal and neoplastic tissue using fluorescence ratio imaging microscopy. , 1994, Cancer research.

[14]  S. Cross,et al.  Fractal geometric analysis of colorectal polyps , 1994, The Journal of pathology.

[15]  S. Dairkee,et al.  Selective cell culture of primary breast carcinoma. , 1995, Cancer research.

[16]  E. T. Gawlinski,et al.  A reaction-diffusion model of cancer invasion. , 1996, Cancer research.

[17]  Gaston H. Gonnet,et al.  On the LambertW function , 1996, Adv. Comput. Math..

[18]  D. Birnbaum,et al.  Genome-wide search for loss of heterozygosity shows extensive genetic diversity of human breast carcinomas. , 1997, Cancer research.

[19]  Helen M. Byrne,et al.  A weakly nonlinear analysis of a model of avascular solid tumour growth , 1999, Journal of mathematical biology.

[20]  E. T. Gawlinski,et al.  A cellular automaton model of early tumor growth and invasion. , 2001, Journal of theoretical biology.

[21]  R. Gillies,et al.  Acute metabolic alkalosis enhances response of C3H mouse mammary tumors to the weak base mitoxantrone. , 2001, Neoplasia.

[22]  E. T. Gawlinski,et al.  A Cellular Automaton Model of Early Tumor Growth and Invasion: The Effects of Native Tissue Vascularity and Increased Anaerobic Tumor Metabolism , 2001 .

[23]  E. T. Gawlinski,et al.  The possible role of postoperative azotemia in enhanced survival of patients with metastatic renal cancer after cytoreductive nephrectomy. , 2002, Cancer research.

[24]  D. Fraker,et al.  Acidosis plus melphalan induces nitric oxide-mediated tumor regression in an isolated limb perfusion human melanoma xenograft model. , 2002, Surgery.

[25]  Peter Bartenstein,et al.  Overexpression of Glut‐1 and increased glucose metabolism in tumors are associated with a poor prognosis in patients with oral squamous cell carcinoma , 2003, Cancer.

[26]  P. Maini,et al.  Mathematical oncology: Cancer summed up , 2003, Nature.

[27]  E. T. Gawlinski,et al.  The glycolytic phenotype in carcinogenesis and tumor invasion: insights through mathematical models. , 2003, Cancer research.

[28]  Robert J. Gillies,et al.  Acidic pH enhances the invasive behavior of human melanoma cells , 1996, Clinical & Experimental Metastasis.

[29]  H M Byrne,et al.  Biological inferences from a mathematical model of comedo ductal carcinoma in situ of the breast. , 2005, Journal of theoretical biology.