Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
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[1] S. Timoshenko,et al. Theory of elasticity , 1975 .
[2] W. Cliff. Observations on healing tissue: A combined light and electron microscopic investigation , 1963, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.
[3] G. Schoefl,et al. STUDIES ON INFLAMMATION. III. GROWING CAPILLARIES: THEIR STRUCTURE AND PERMEABILITY. , 1963, Virchows Archiv fur pathologische Anatomie und Physiologie und fur klinische Medizin.
[4] P. Shubik,et al. The growth of the blood supply to melanoma transplants in the hamster cheek pouch. , 1966, Laboratory investigation; a journal of technical methods and pathology.
[5] Burton Ac,et al. Rate of growth of solid tumours as a problem of diffusion. , 1966, Growth.
[6] E. Laurence,et al. Extraction, purification and preliminary characterisation of the epidermal chalone: A tissue specific mitotic inhibitor obtained from vertebrate skin. , 1968, European journal of biochemistry.
[7] Inch Wr,et al. Growth of nodular carcinomas in rodents compared with multi-cell spheroids in tissue culture. , 1970 .
[8] The pattern of tumour growth. , 1971 .
[9] R. Sutherland,et al. Growth of multicell spheroids in tissue culture as a model of nodular carcinomas. , 1971, Journal of the National Cancer Institute.
[10] H. Greenspan. Models for the Growth of a Solid Tumor by Diffusion , 1972 .
[11] Howard I. Maibach,et al. Epidermal wound healing , 1972 .
[12] J. Folkman,et al. SELF-REGULATION OF GROWTH IN THREE DIMENSIONS , 1973, The Journal of experimental medicine.
[13] F. Marks. A tissue-specific factor inhibiting DNA synthesis in mouse epidermis. , 1973, National Cancer Institute monograph.
[14] Greenspan Hp,et al. On the self-inhibited growth of cell cultures. , 1974, Growth.
[15] J. Folkman,et al. Tumor growth and neovascularization: an experimental model using the rabbit cornea. , 1974, Journal of the National Cancer Institute.
[16] G. Brugal,et al. EXISTENCE OF TWO CHALONE‐LIKE SUBSTANCES IN INTESTINAL EXTRACT FROM THE ADULT NEWT, INHIBITING EMBRYONIC INTESTINAL CELL PROLIFERATION , 1975, Cell and tissue kinetics.
[17] J. Folkman. The vascularization of tumors. , 1976, Scientific American.
[18] Shymko Rm,et al. Cellular and geometric control of tissue growth and mitotic instability. , 1976 .
[19] R E Durand,et al. CELL CYCLE KINETICS IN AN IN VITRO TUMOR MODEL , 1976, Cell and tissue kinetics.
[20] H. Greenspan. On the growth and stability of cell cultures and solid tumors. , 1976, Journal of theoretical biology.
[21] J. Folkman,et al. Migration and proliferation of endothelial cells in preformed and newly formed blood vessels during tumor angiogenesis. , 1977, Microvascular research.
[22] G M Saidel,et al. Diffusion model of tumor vascularization and growth , 1977, Bulletin of mathematical biology.
[23] R. Cotran,et al. Cellular migration and replication in endothelial regeneration: a study using irradiated endothelial cultures. , 1977, Laboratory investigation; a journal of technical methods and pathology.
[24] P. J. Ponzo,et al. A model for the growth of a solid tumor with non-uniform oxygen consumption , 1977 .
[25] Epidermal chalones and squamous cell carcinomas , 1978, Virchows Archiv B Cell Pathology.
[27] B. Goodwin,et al. A field description of the cleavage process in embryogenesis. , 1980, Journal of theoretical biology.
[28] L I Krishtalik,et al. Catalytic acceleration of reactions by enzymes. Effect of screening of a polar medium by a protein globule. , 1980, Journal of theoretical biology.
[29] A. Hunding. Dissipative structures in reaction-diffusion systems: Numerical determination of bifurcations in the sphere , 1980 .
[30] R. Baserga,et al. Tissue Growth Factors , 1981, Handbook of Experimental Pharmacology.
[31] P. Vaupel,et al. Heterogeneous oxygen partial pressure and pH distribution in C3H mouse mammary adenocarcinoma. , 1981, Cancer research.
[32] W. Loewenstein,et al. Junctional intercellular communication: the cell-to-cell membrane channel. , 1981, Physiological reviews.
[33] R. Ma,et al. Endothelial regeneration. III. Time course of intimal changes after small defined injury to rat aortic endothelium. , 1981 .
[34] O. Kaalhus,et al. Cell Kinetic Characteristics In Different Parts of Multicellular Spheroids of Human Origin , 1981, Cell and tissue kinetics.
[35] R. Auerbach,et al. Tumor-induced neovascularization in the mouse eye. , 1982, Journal of the National Cancer Institute.
[36] J P Freyer,et al. A model for the growth of multicellular spheroids , 1982, Cell and tissue kinetics.
[37] J. Murray,et al. Parameter space for turing instability in reaction diffusion mechanisms: a comparison of models. , 1982, Journal of theoretical biology.
[38] J. Freyer,et al. Determination of diffusion constants for metabolites in multicell tumor spheroids. , 1983, Advances in experimental medicine and biology.
[39] J P Freyer,et al. In situ oxygen consumption rates of cells in V‐79 multicellular spheroids during growth , 1984, Journal of cellular physiology.
[40] A. Hunding. Bifurcations of nonlinear reaction-diffusion systems in oblate spheroids , 1983, Journal of mathematical biology.
[41] Ferguson Gp,et al. Mechanisms of neovascularization. Vascular sprouting can occur without proliferation of endothelial cells. , 1984 .
[42] G. Chatelain,et al. Density‐dependent inhibition of growth: Inhibitorydiffusible factors from 3T3‐ and rous sarcoma virus (RSV)‐transformed 3T3 cells , 1984, Journal of cellular physiology.
[43] R. Sutherland,et al. Growth and cellular characteristics of multicell spheroids. , 1984, Recent results in cancer research. Fortschritte der Krebsforschung. Progres dans les recherches sur le cancer.
[44] M. Brattain,et al. Identification of a tumor inhibitory factor in rat ascites fluid. , 1984, Biochemical and biophysical research communications.
[45] D. Balding,et al. A mathematical model of tumour-induced capillary growth. , 1985, Journal of theoretical biology.
[46] W. Young,et al. Extracellular matrix modulation of endothelial cell shape and motility following injury in vitro. , 1985, Journal of cell science.
[47] P. Gullino,et al. Cooperation between fibronectin and heparin in the mobilization of capillary endothelium. , 1985, Invasion & metastasis.
[48] O. Iversen. What is new in endogenous growth stimulators and inhibitors (chalones). , 1985, Pathology, research and practice.
[49] V. Terranova,et al. Human endothelial cells are chemotactic to endothelial cell growth factor and heparin , 1985, The Journal of cell biology.
[50] J P Freyer,et al. Proliferative and clonogenic heterogeneity of cells from EMT6/Ro multicellular spheroids induced by the glucose and oxygen supply. , 1986, Cancer research.
[51] 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.
[52] P. Gullino,et al. Interaction of gangliosides with fibronectin in the mobilization of capillary endothelium. Possible influence on the growth of metastasis. , 1986, Invasion & metastasis.
[53] J. Adam. A simplified mathematical model of tumor growth , 1986 .
[54] Paul F. McDonagh. Microvascular perfusion and transport in health and disease , 1987 .
[55] J. Adam. A mathematical model of tumor growth. III. comparison with experiment , 1987 .
[56] J. Adam. A mathematical model of tumor growth. II. effects of geometry and spatial nonuniformity on stability , 1987 .
[57] R. Sutherland. Cell and environment interactions in tumor microregions: the multicell spheroid model. , 1988, Science.
[58] R. Sutherland,et al. Mathematical modelling of oxygen supply and oxygenation in tumor tissues: prognostic, therapeutic, and experimental implications. , 1988, International journal of radiation oncology, biology, physics.
[59] H. Moses,et al. Transforming growth factors in the regulation of malignant cell growth and invasion. , 1988, Cancer investigation.
[60] N Paweletz,et al. Tumor-related angiogenesis. , 1989, Critical reviews in oncology/hematology.
[61] R K Jain,et al. Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection. , 1989, Microvascular research.
[62] A. Balmain,et al. Chalones revisited--a possible role for transforming growth factor beta in tumour promotion. , 1990, Carcinogenesis.
[63] M. Chaplain,et al. A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. , 1990, IMA journal of mathematics applied in medicine and biology.
[64] Jonathan A. Sherratt,et al. Models of epidermal wound healing , 1990, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[65] R. Durand. Invited review Multicell spheroids as a model for cell kinetic studies , 1990, Cell and tissue kinetics.
[66] M A Rupnick,et al. Chemotaxis of human microvessel endothelial cells in response to acidic fibroblast growth factor. , 1990, Laboratory investigation; a journal of technical methods and pathology.
[67] G. S. H. Lock,et al. The effects of tilt, skew and roll on natural convection in a slender, laterally-heated cavity , 1990 .
[68] R K Jain,et al. Transport of fluid and macromolecules in tumors. II. Role of heterogeneous perfusion and lymphatics. , 1990, Microvascular research.
[69] J. Leith,et al. Autocrine and paracrine growth factors in tumor growth: a mathematical model. , 1991, Bulletin of mathematical biology.
[70] O. Iversen,et al. The hunt for endogenous growth-inhibitory and/or tumor suppression factors: their role in physiological and pathological growth regulation. , 1991, Advances in cancer research.
[71] Lowell A. Goldsmith,et al. Biochemistry and physiology of the skin , 1991 .
[72] K. Groebe,et al. Biological response of multicellular emt6 spheroids to exogenous lactate , 1991, International journal of cancer.
[73] R K Jain,et al. Transport of fluid and macromolecules in tumors. IV. A microscopic model of the perivascular distribution. , 1991, Microvascular research.
[74] M. Chaplain,et al. A mathematical model for the diffusion of tumour angiogenesis factor into the surrounding host tissue. , 1991, IMA journal of mathematics applied in medicine and biology.
[75] D A Lauffenburger,et al. Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis. , 1991, Journal of theoretical biology.
[76] S. Paku,et al. First steps of tumor-related angiogenesis. , 1991, Laboratory investigation; a journal of technical methods and pathology.
[77] S. V. Sotirchos,et al. Mathematical modelling of microenvironment and growth in EMT6/Ro multicellular tumour spheroids , 1992, Cell proliferation.
[78] C. Gerharz,et al. Rhabdomyosarcoma spheroids with central proliferation and differentiation. , 1992, Cancer research.
[79] S. Walenta,et al. Proliferation‐associated oxygen consumption and morphology of tumor cells in monolayer and spheroid culture , 1992, Journal of cellular physiology.
[80] G W Swan. The diffusion of an inhibitor in a spherical tumor. , 1992, Mathematical biosciences.
[81] N F Britton,et al. On the concentration profile of a growth inhibitory factor in multicell spheroids. , 1993, Mathematical biosciences.
[82] M. Chaplain,et al. Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory , 1993, Journal of mathematical biology.
[83] N F Britton,et al. A qualitative analysis of some models of tissue growth. , 1993, Mathematical biosciences.
[84] Sophia Maggelakis,et al. Mathematical model of prevascular growth of a spherical carcinoma-part II , 1993 .
[85] M. Apuzzo,et al. Differential effects of tumor necrosis factor-alpha on proliferation, cell surface antigen expression, and cytokine interactions in malignant gliomas. , 1993, Neurosurgery.
[86] M. Chaplain,et al. A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. , 1993, IMA journal of mathematics applied in medicine and biology.
[87] Mark A. J. Chaplain,et al. The Development of a Spatial Pattern in a Model for Cancer Growth , 1993 .
[88] Philip K. Maini,et al. Experimental and Theoretical Advances in Biological Pattern Formation , 1993, NATO ASI Series.
[89] Robert C. Bast,et al. Tumor Necrosis Factor α as an Autocrine and Paracrine Growth Factor for Ovarian Cancer: Monokine Induction of Tumor Cell Proliferation and Tumor Necrosis Factor α Expression , 1993 .
[90] P K Maini,et al. Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. , 1994, Mathematical biosciences.
[91] R K Jain,et al. Barriers to drug delivery in solid tumors. , 1994, Scientific American.
[92] Robert Dillon,et al. Pattern formation in generalized Turing systems , 1994 .
[93] Hiroshi Yamamoto,et al. Tumor Necrosis Factor-α (TNF-α) Stimulates Proliferation of Mouse Primordial Germ Cells in Culture , 1994 .
[94] A. Giaccia,et al. Tumour hypoxia: the picture has changed in the 1990s. , 1994, International journal of radiation biology.
[95] T. Jacks,et al. The cell cycle and cancer. , 1997, Proceedings of the National Academy of Sciences of the United States of America.