[1] Murray, J.D., Mathematical Biology. Springer, New York, 2003.
[2] Wheng, G., Bhalla, U.S., Iyengar, R., Complexity in biological signaling systems. Science, 1999, 284 92-6.
[3] McCulloch, A.D., Huber, G., Integrative biological modelling in silico, ’In silico’ simulation of biological processes. Novartis Foundation Symposium 247. Ed Bock G & Goode JA. John Wiley & Sons, London, 2002, 4-19.
[4] Crampin, E.J., Halstead, M., Hunter, P., Nielsen, P., Noble, D.,Smith, N., Tawhai, M., Computational physiology and Physiome project. Exp. Physiome project. Exp. Physiol, 2004, 89, 1-26.
[5] Alarc´on, T., Byrne, H.M., Maini, P.K., A multiple scale model for tumor growth. SIAM Multiple Modeling and Simulation, 2004.
[6] Kasper, Braunwald, Fauci., Principles of Internal Medicine Harrison’s 2005.
[7] Malcolm R. Alison., The Cancer Handbook, 2004.
[8] صفا، ح.ر.، ژنتیک، توارث و سرطان، نشر سنبله، 1383.
[9] مزدیسنا، س.، جعفری، ا.ه.، مدلسازی رشد سرطان در دو بعد با استفاده از اتومانای سلولی بصورت شعاعی و شاخه دار. چهاردهمین کنفرانس مهندسی پزشکی ایران، دانشگاه شاهد، 1386، 285-292.
[10] Jana L Gevertz, Salvatore Torquato., Modeling the effects of vasculature evolution on early brain tumor growth. Journal of Theoretical Biology, 2006, 243, 517– 531.
[11] Hulleman, E., Helin, K., Molecular mechanisms in gliomagenesis. Adv. Cancer Res, 2005, 94, 1–27.
[12] Maher, E.A., Furnari, F.B., Bachoo, R.M., Rowitch, D.H., Louis, D.N., Cavenee, W.K., DePinho, R.A., Malignant glioma: genetics and biology of a grave matter. Genes Dev, 2001, 15, 1311–1333.
[13] Giese, A., Manfred, W., Glioma invasion in the central nervous system. Neurosurgery, 1996, 39 (2), 235–252.
[14] Visted, T., Enger, P.O., Lund-Johansen, M., Bjerkvig, R., Mechanisms of tumor cell invasion and angiogenesis in the central nervous system, Front, Biosci, 2003, 8, 289–304.
[15] Enderling, H., Chaplain, M., Anderson, A., Vaidya, J., A mathematical model of breast cancer development, local treatment and recurrence, J. Theor. Biol, 2007, 264 (2), 245–259.
[16] Sachs, R., Hlatky, L., P., H., Simple ode models of tumor growth and anti-angiogenic or radiation treatment, Math. comput. Model, 2001, 33, 1297– 1305.
[17] Anderson, A., Chaplain, M., Newman, E., Steele, R., Thompson, A., Mathematical modelling of tumour invasion and metastasis, J. Theoret. Med, 2000, 2, 129– 154.
[18] Swanson, K. R., Bridge, C., Murray, J. D., Alvord, E. C., Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion, J Neurol Sci, 2003, 216 (1), 1–10.
[19] von Neuman, John, Theory of self-reproducing automata, edited and completed by Arthur Burks, University of Illinois Press, 1966.
[20] Deutsch, A., Dormann, S., Cellular Automaton Modeling of Biological Pattern Formation, Birkhäuser, Boston, 2005.
[21] Duchting, W., Vogelsaenger, T., Analysis, forecasting and control of three-dimensional tumor growth and treatment. J. Med. Syst, 1984, 8, 461–475.
[22] Gerlee, P., Anderson, A.R.A., An evolutionary hybrid cellular automaton model of solid tumour growth, Journal of Theoretical Biology, 2007, 246, 583–603.
[23] Gerlee, P., Anderson, A.R.A., A hybrid cellular automaton model of clonal evolution in cancer: The emergence of the glycolytic phenotype, Journal of Theoretical Biology, 2008 250, 705–722.
[24] Reis, E.A., Santos, L.B.L, Pinho, S.T.R.; A cellular automata model for avascular solid tumor growth under the effect of therapy, Physica A: Statistical Mechanics and its Applications, 2009, 388, 1303-1314.
[25] Piotrowska, M.J., Angus, S.D., A quantitative cellular automaton model of in vitro multicellular spheroid tumour growth, Journal of Theoretical Biology, Volume 258, Issue 2, 2009, 165-178.
[26] Richard, M., Kirkby, K.J., Webb, R.P., Kirkby, N.F., Cellular automaton model of cell response to targeted radiation. Applied Radiation and Isotopes, 2009, 67, 443-446.
[27] Hatzikirou, H., Brusch, L., Schaller, C., Simon, M., Deutsch, A., Prediction of traveling front behavior in a lattice-gas cellular automaton model for tumor invasion, Comput. Math. Appl, 2010, v59, 2326-2339.
[28] von Neumann, J., Morgenstern, O., Theory of games and economic behavior, Princeton University Press, Princeton, NJ, 1953.
[29] Osborne, M. J., An introduction to Game theory, Oxford University Press, 2004.
[30] M. Merston-Gibbons., An introduction to game-theoretic modelling, 2nd edn, American Mathematical Society, 2000.
[31] Tomlinson, I.P.M., Game–theory models of interactions between tumour cells, Eur. J. Cancer, 1997, 33, 1495– 1500.
[32] Maynard Smith, J., Evolution and the theory of games, Cambridge University Press, Cambridge, 1982.
[33] Hofbauer, J., Sigmund, K., Evolutionary games and population dynamics, Cambridge University Press, Cambridge, 1998.
[34] Mansury, Y., Diggory, M., Deisboeck, T., Evolutionary game theory in an agent-based brain tumor model: exploring the ‘genotype phenotype’ link. J. Theor. Biol, 2006, 238, 146–156.
[35] Hummert, S., Hummert, C., Schröter, A., Hube, B., Schuster, S., Game theoretical modelling of survival strategies of Candida albicans inside macrophages. Journal of Theoretical Biology, 2010, 264, 312-318.
[36] Bellomo, N., Delitala. M., From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells. Physics of Life Reviews, 2008, Volume 5, Issue 4, 183-206.
[37] Robert A. Gatenby., Thomas L. Vincent., Application of quantitative models from population biology and evolutionary game theory to tumor therapeutic strategies, Molecular Cancer Therapeutic, 2003, 919- 927.
[38] Basanta, D., Hatzikirou, H., Deutsch, A., Studying the emergence of invasiveness in tumours using game theory, European Physical Journal B, 2008, 393-397.
[39] عرب نجفی، م.، تغییرات ژنتیک سرطان، انتشارات جهاد دانشگاهی، 1385.
[40] Kleinsmith, L.J., Kerrigan, D., Spangler, S., National cancer institute: Science behind the news— understanding cancer, 2001.
[41] Weinberg, R.A., How cancer arises, Scientific American, 1996, 275 (3), 62.
[42] Mallet, D.G., de Pillis, L.G., A cellular automata model of tumor–immune system interactions, Journal of Theoretical Biology, 2006, 239, 334–350.
[43] Dunn, G.P., Old, L.J., Schreiber, R.D., The three Es of cancer immunoediting, Annu. Rev. Immunol, 2004, 22, 329–360.
[44] DeClerck, Y.A., Mercurio, A.M., Stack, M.S., Chapman, H.A., Zutter, M.M., Muschel, R.J., Raz, A., Matrisian, L.M., Sloane, B.F., Noel, A., Hendrix, M.J., Coussens, L., Padarathsingh, M., Proteases extracellular matrix and cancer: a workshop of the path b study section, Am. J. Pathol, 2004, 164 (4), 1131–1139.
[45] Folkman, J., Angiogenesis. Annu. Rev. Med, 2006, 57, 1–18.
[46] Alarc´on, T., Byrne, H.M., Maini, P.K., A cellular automaton model for tumour growth in inhomogeneous environment, J. Theor. Biol, 2003, 225, 257-274.
[47] Deutsch, A., Dormann, S., Modelling of avascular tumour growth with a hybrid cellular automaton, In Silico Biol, 2002, 2, 1-14.
[48] Patel, A.A., Gawlinski, E.T., Lemieux, S.K., Gatenby, R.A.: A cellular automaton model of early tumour growth and invasion: The effects of native tissue vascularity and increased anaerobic tumour metabolism. J. theor. Biol. 213 (2001) 315-331.
[49] Stetler-Stevenson WG, Liotta LA, Kleiner DE Jr., Extracellular matrix 6: role of matrix metalloproteinases in tumor invasion and metastasis. The FASEB Journal, Vol 7, 1434-1441.
[50] عرب، م.ر.، احمدی، ح.، سرگلزایی اول، ف.، کریمی، م.، شهریار، م.، شناسایی قندهای انتهایی D-GAL و دی ساکارید Gal/GalNac د کارسینومهای سلول بارال و سنگفرشی پوست. مجله طبیب شرق، 1386، 53-59.
[51] صادقی، م.، همتی، س.، افزایش غلظت پلاسمایی و میزان MMP-9 فعال در بیماران متاستازی سرطان پستان و ارتباط آن با وجود آلل T در پروموتور این ژن. مجله دانشگاه علوم پزشکی مازندران، 1388، 44-51.
[52] Bandini, S., Mauri, G., Serra, R., cellular automata: from a theoretical parallel computational model to its application to complex systems, parallel compute, 2001, 27, 539-553.
[53] Ferreira Jr., S.C., Martins, M.L., Vilela, M.J., Reaction– diffusion model for the growth of avascular tumor, Phys. Rev. E, 2002, 65, 021907.
[54] Grote, J., Susskind, R., Vaupel, P., Oxygen diffusivity in tumor tissue (ds-carcinosarcoma) under temperature conditions within the range of 20–40 degrees C. Pflugers Arch. 1977, 372, 37–42.
[55] Vaskivuo, T.E., Stenback, F., Karhumaa, P., Risteli, J., Dunkel, L., Tapanainen, J.S., Apoptosis and apoptosisrelated proteins in human endometrium, Mol Cell Endocrinol, 2000 165, 75–83.
[56] Folkman, J., Hochberg, M., Self-regulation of growth in three dimension, J. Exp. Med, 1973, 138, 745–753.
[57] Sutherland, R.M., Cell and environment interactions in tumor microregions: the multicell spheroid model, Science, 1988, 240, 177 184.
[58] Gonzalez, R.C., Woods E.R., Eddins, S.L., Digital image processing using MATLAB, 2004, 334-377.