A cellular automaton model for tumour growth in inhomogeneous environment.
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P. Maini | T. Alarcón | H. Byrne | P. Maini
[1] C D Murray,et al. The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. , 1926, Proceedings of the National Academy of Sciences of the United States of America.
[2] E. Hill. Journal of Theoretical Biology , 1961, Nature.
[3] J. P. Paul,et al. Biomechanics , 1966 .
[4] M Zamir,et al. Shear forces and blood vessel radii in the cardiovascular system , 1977, The Journal of general physiology.
[5] G. Smith,et al. Numerical Solution of Partial Differential Equations: Finite Difference Methods , 1978 .
[6] R. Pollack,et al. Cancer biology. , 1978, Science.
[7] T Vogelsaenger,et al. Recent progress in modelling and simulation of three-dimensional tumor growth and treatment. , 1985, Bio Systems.
[8] Stephen Wolfram,et al. Theory and Applications of Cellular Automata , 1986 .
[9] M. Labarbera. Principles of design of fluid transport systems in zoology. , 1990, Science.
[10] X. Zheng,et al. A cellular automaton model of cancerous growth. , 1993, Journal of theoretical biology.
[11] G B Ermentrout,et al. Cellular automata approaches to biological modeling. , 1993, Journal of theoretical biology.
[12] A. Pries,et al. Resistance to blood flow in microvessels in vivo. , 1994, Circulation research.
[13] A. Pries,et al. Design principles of vascular beds. , 1995, Circulation research.
[14] R. Jain,et al. Role of tumor vascular architecture in nutrient and drug delivery: an invasion percolation-based network model. , 1996, Microvascular research.
[15] R. Gatenby,et al. Application of competition theory to tumour growth: implications for tumour biology and treatment. , 1996, European journal of cancer.
[16] K. Kinzler,et al. Life (and death) in a malignant tumour , 1996, Nature.
[17] H. Honda,et al. Formation of the branching pattern of blood vessels in the wall of the avian yolk sac studied by a computer simulation , 1997, Development, growth & differentiation.
[18] R. Jain,et al. Delivery of molecular and cellular medicine to solid tumors. , 1998, Advanced drug delivery reviews.
[19] A. Pries,et al. Structural adaptation and stability of microvascular networks: theory and simulations. , 1998, American journal of physiology. Heart and circulatory physiology.
[20] S. Dower,et al. Response of tumour cells to hypoxia: role of p53 and NFkB. , 1998, Molecular pathology : MP.
[21] M. Chaplain,et al. Continuous and discrete mathematical models of tumor-induced angiogenesis , 1998, Bulletin of mathematical biology.
[22] M. Chaplain,et al. Does breast cancer exist in a state of chaos? , 1999, European journal of cancer.
[23] A. Popel,et al. A computational study of the effect of capillary network anastomoses and tortuosity on oxygen transport. , 2000, Journal of theoretical biology.
[24] S Torquato,et al. Simulated brain tumor growth dynamics using a three-dimensional cellular automaton. , 2000, Journal of theoretical biology.
[25] W. Godwin. Article in Press , 2000 .
[26] 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 .
[27] S. McDougall,et al. Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies , 2002, Bulletin of mathematical biology.
[28] William H. Press,et al. Numerical recipes in C , 2002 .