A history of the study of solid tumour growth: The contribution of mathematical modelling
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[1] Y. C. Fung,et al. What are the residual stresses doing in our blood vessels? , 2006, Annals of Biomedical Engineering.
[2] Miljenko Marušić,et al. Mathematical models of tumor growth , 2006 .
[3] S. Orrenius,et al. Apoptosis: a basic biological phenomenon with wide‐ranging implications in human disease , 2005, Journal of internal medicine.
[4] D. L. Sean McElwain,et al. The nature of the stresses induced during tissue growth , 2005, Appl. Math. Lett..
[5] L. C. Barr,et al. The encapsulation of tumours , 1989, Clinical & Experimental Metastasis.
[6] D. L. Sean McElwain,et al. A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues II: Solutions to the Biphasic Equations for a Multicell Spheroid , 2005, SIAM J. Appl. Math..
[7] D. L. Sean McElwain,et al. A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues I: A General Formulation , 2005, SIAM J. Appl. Math..
[8] D L S McElwain,et al. New insights into vascular collapse and growth dynamics in solid tumors. , 2004, Journal of theoretical biology.
[9] D. McElwain,et al. A linear-elastic model of anisotropic tumour growth , 2004, European Journal of Applied Mathematics.
[10] Ben D MacArthur,et al. Residual stress generation and necrosis formation in multi-cell tumour spheroids , 2004, Journal of mathematical biology.
[11] J. Olson,et al. Bathsheba’s Breast: Women, Cancer and History , 2004, Nursing History Review.
[12] L. Weiss. The Morphologic Documentation of Clinical Progression, Invasion Metastasis - Staging , 2000, Cancer and Metastasis Reviews.
[13] J. Sherratt,et al. Alterations in proteolytic activity at low pH and its association with invasion: A theoretical model , 1999, Clinical & Experimental Metastasis.
[14] Christine E. Canman,et al. P53, cell cycle control and apoptosis: Implications for cancer , 1995, Cancer and Metastasis Reviews.
[15] Rakesh K. Jain,et al. Transport of molecules across tumor vasculature , 2004, Cancer and Metastasis Reviews.
[16] E. T. Gawlinski,et al. The glycolytic phenotype in carcinogenesis and tumor invasion: insights through mathematical models. , 2003, Cancer research.
[17] Helen M Byrne,et al. A multiphase model describing vascular tumour growth , 2003, Bulletin of mathematical biology.
[18] H. M. Byrne,et al. Modelling the early growth of ductal carcinoma in situ of the breast , 2003, Journal of mathematical biology.
[19] Helen M. Byrne,et al. A two-phase model of solid tumour growth , 2003, Appl. Math. Lett..
[20] V. Cristini,et al. Nonlinear simulation of tumor growth , 2003, Journal of mathematical biology.
[21] J. King,et al. Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures. , 2003, Mathematical biosciences.
[22] P. Maini,et al. Mathematical oncology: Cancer summed up , 2003, Nature.
[23] L. Preziosi,et al. Modelling Solid Tumor Growth Using the Theory of Mixtures , 2001, Mathematical medicine and biology : a journal of the IMA.
[24] Numerical simulation of the growth of a multicellular spheroid , 2003 .
[25] Robyn P. Araujo,et al. An anisotropic model of vascular tumour growth: implications for vascular collapse , 2003 .
[26] Sean McElwain,et al. The Genesis of Residual Stresses and Vascular Collapse in Solid Tumours , 2003 .
[27] D. Blakey,et al. ZD6126: a novel vascular-targeting agent that causes selective destruction of tumor vasculature. , 2002, Cancer research.
[28] Lawrence M Wein,et al. A mathematical model of the impact of infused targeted cytotoxic agents on brain tumours: implications for detection, design and delivery , 2002, Cell proliferation.
[29] Vlado A. Lubarda,et al. On the mechanics of solids with a growing mass , 2002 .
[30] H. Byrne,et al. The role of cell-cell interactions in a two-phase model for avascular tumour growth , 2002, Journal of mathematical biology.
[31] D. Ambrosi,et al. On the mechanics of a growing tumor , 2002 .
[32] S. McDougall,et al. Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies , 2002, Bulletin of mathematical biology.
[33] C. Lewis,et al. Fibrinogen E fragment selectively disrupts the vasculature and inhibits the growth of tumours in a syngeneic murine model , 2002, British Journal of Cancer.
[34] C. Please,et al. Multiphase flow in a roll press nip , 2002, European Journal of Applied Mathematics.
[35] L. Preziosi,et al. ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH , 2002 .
[36] Shangbin Cui,et al. Analysis of a mathematical model for the growth of tumors under the action of external inhibitors , 2002, Journal of mathematical biology.
[37] Antonio Fasano,et al. Cell kinetics in tumour cords studied by a model with variable cell cycle length. , 2002, Mathematical biosciences.
[38] L. Preziosi,et al. On Darcy's law for growing porous media , 2002 .
[39] T. Jackson,et al. Multiphase mechanics of capsule formation in tumors. , 2002, Journal of biomechanical engineering.
[40] Trachette L. Jackson,et al. Vascular tumor growth and treatment: Consequences of polyclonality, competition and dynamic vascular support , 2002, Journal of mathematical biology.
[41] E. Ruoslahti. Specialization of tumour vasculature , 2002, Nature Reviews Cancer.
[42] Paola Pisani,et al. Estimates of the world‐wide prevalence of cancer for 25 sites in the adult population , 2002, International journal of cancer.
[43] J. Sherratt,et al. Travelling wave solutions to a haptotaxis-dominated model of malignant invasion , 2001 .
[44] M. Chaplain,et al. A new mathematical model for avascular tumour growth , 2001, Journal of mathematical biology.
[45] H M Byrne,et al. The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids , 2001, Journal of mathematical biology.
[46] C. Please,et al. Tumour dynamics and necrosis: surface tension and stability. , 2001, IMA journal of mathematics applied in medicine and biology.
[47] D J Mooney,et al. Up-Regulation of Bcl-2 in microvascular endothelial cells enhances intratumoral angiogenesis and accelerates tumor growth. , 2001, Cancer research.
[48] G. J. Pettet,et al. The migration of cells in multicell tumor spheroids , 2001, Bulletin of mathematical biology.
[49] D. Chadwick,et al. The Tumour Microenvironment: Causes and Consequences of Hypoxia and Acidity , 2001 .
[50] Helen M. Byrne,et al. USING MATHEMATICS TO STUDY SOLID TUMOUR GROWTH , 2001 .
[51] E. T. Gawlinski,et al. Mathematical models of tumour invasion mediated by transformation-induced alteration of microenvironmental pH. , 2001, Novartis Foundation symposium.
[52] W. Mueller‐Klieser. Tumor biology and experimental therapeutics. , 2000, Critical reviews in oncology/hematology.
[53] Jonathan A. Sherratt,et al. Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[54] R. Jain,et al. Absence of functional lymphatics within a murine sarcoma: a molecular and functional evaluation. , 2000, Cancer research.
[55] R. Jain,et al. Oncotic pressure in solid tumors is elevated. , 2000, Cancer research.
[56] Renato Perucchio,et al. Modeling Heart Development , 2000 .
[57] A. Bertuzzi,et al. Cell kinetics in a tumour cord. , 2000, Journal of theoretical biology.
[58] A. Hoger,et al. Constitutive Functions of Elastic Materials in Finite Growth and Deformation , 2000 .
[59] H M Byrne,et al. A mathematical model of the stress induced during avascular tumour growth , 2000, Journal of mathematical biology.
[60] L. Preziosi,et al. ADVECTION-DIFFUSION MODELS FOR SOLID TUMOUR EVOLUTION IN VIVO AND RELATED FREE BOUNDARY PROBLEM , 2000 .
[61] R K Jain,et al. Openings between defective endothelial cells explain tumor vessel leakiness. , 2000, The American journal of pathology.
[62] A. Friedman,et al. Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. , 2000, Mathematical biosciences.
[63] H M Byrne,et al. A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy. , 2000, Mathematical biosciences.
[64] A. J. Perumpanani,et al. Traveling Shock Waves Arising in a Model of Malignant Invasion , 1999, SIAM J. Appl. Math..
[65] J Norbury,et al. Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. , 2000, IMA journal of mathematics applied in medicine and biology.
[66] J. King,et al. Modelling The Effect of Cell Shedding on Avascular Tumour Growth , 2000 .
[67] A. Perumpanani,et al. Numerical interactions of random and directed motility during cancer invasion , 1999 .
[68] P. Hahnfeldt,et al. Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. , 1999, Cancer research.
[69] H. Byrne,et al. Extracellular matrix concentration exerts selection pressure on invasive cells. , 1999, European journal of cancer.
[70] R K Jain,et al. Taxane-induced apoptosis decompresses blood vessels and lowers interstitial fluid pressure in solid tumors: clinical implications. , 1999, Cancer research.
[71] Helen M. Byrne,et al. A weakly nonlinear analysis of a model of avascular solid tumour growth , 1999, Journal of mathematical biology.
[72] H. Byrne,et al. Modelling the internalization of labelled cells in tumour spheroids , 1999, Bulletin of mathematical biology.
[73] Graeme J. Pettet,et al. AVASCULAR TUMOUR DYNAMICS AND NECROSIS , 1999 .
[74] J. King,et al. Mathematical modelling of avascular-tumour growth. II: Modelling growth saturation. , 1999, IMA journal of mathematics applied in medicine and biology.
[75] J. Sherratt,et al. A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion , 1999 .
[76] J. Sherratt,et al. Mathematical modelling of tumour acidity: regulation of intracellular pH. , 1999, Journal of theoretical biology.
[77] John R. King,et al. Mathematical Modelling of the Effects of Mitotic Inhibitors on Avascular Tumour Growth , 1999 .
[78] J. Millán,et al. Epidemiology of Usher Syndrome in Valencia and Spain , 1999, Public Health Genomics.
[79] Arun R. Srinivasa,et al. Mechanics of the inelastic behavior of materials—part 1, theoretical underpinnings , 1998 .
[80] D. Drew,et al. Theory of Multicomponent Fluids , 1998 .
[81] M. Chaplain,et al. Continuous and discrete mathematical models of tumor-induced angiogenesis , 1998, Bulletin of mathematical biology.
[82] D P Pioletti,et al. Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons. , 1998, Journal of biomechanics.
[83] Graeme J. Pettet,et al. A new approach to modelling the formation of necrotic regions in tumours , 1998 .
[84] B. Sleeman,et al. Fluid transport in vascularized tumours and metastasis. , 1998, IMA journal of mathematics applied in medicine and biology.
[85] R. Knuechel,et al. Multicellular spheroids: a three‐dimensional in vitro culture system to study tumour biology , 1998, International journal of experimental pathology.
[86] Robert A. Gatenby,et al. Mathematical models of tumor-host interactions , 1998 .
[87] H. M. Byrne,et al. Necrosis and Apoptosis: Distinct Cell Loss Mechanisms in a Mathematical Model of Avascular Tumour Growth , 1998 .
[88] R. Porter,et al. The Greatest Benefit to Mankind: A Medical History of Humanity from Antiquity to the Present , 1997 .
[89] M. Chaplain,et al. Free boundary value problems associated with the growth and development of multicellular spheroids , 1997, European Journal of Applied Mathematics.
[90] H M Byrne,et al. The importance of intercellular adhesion in the development of carcinomas. , 1997, IMA journal of mathematics applied in medicine and biology.
[91] Andrew C. Fowler,et al. Mathematical Models in the Applied Sciences , 1997 .
[92] H M Byrne,et al. The effect of time delays on the dynamics of avascular tumor growth. , 1997, Mathematical biosciences.
[93] Helen M. Byrne,et al. The role of growth factors in avascular tumour growth , 1997 .
[94] Paolo A. Netti,et al. Solid stress inhibits the growth of multicellular tumor spheroids , 1997, Nature Biotechnology.
[95] Jd Jan Janssen,et al. Quadriphasic mechanics of swelling incompressible porous media , 1997 .
[96] R. Skalak,et al. Macro- and Microscopic Fluid Transport in Living Tissues: Application to Solid Tumors , 1997 .
[97] J. King,et al. Mathematical modelling of avascular-tumour growth. , 1997, IMA journal of mathematics applied in medicine and biology.
[98] M. Chaplain,et al. Modelling the role of cell-cell adhesion in the growth and development of carcinomas , 1996 .
[99] E. T. Gawlinski,et al. A reaction-diffusion model of cancer invasion. , 1996, Cancer research.
[100] Nicola Bellomo,et al. A Survey of Models for Tumor-Immune System Dynamics , 1996 .
[101] R. Mansel,et al. Progress in anti-invasion and anti-metastasis research and treatment. , 1996, International Journal of Oncology.
[102] R K Jain,et al. Tumor angiogenesis and interstitial hypertension. , 1996, Cancer research.
[103] E. Ruoslahti. How cancer spreads. , 1996, Scientific American.
[104] A. Ruifrok,et al. Accelerated repopulation during fractionated irradiation of a murine ovarian carcinoma: downregulation of apoptosis as a possible mechanism. , 1996, International journal of radiation oncology, biology, physics.
[105] L A Taber,et al. Theoretical study of stress-modulated growth in the aorta. , 1996, Journal of theoretical biology.
[106] Mark A. J. Chaplain,et al. A mathematical model of vascular tumour growth and invasion , 1996 .
[107] S C Cowin,et al. Strain or deformation rate dependent finite growth in soft tissues. , 1996, Journal of biomechanics.
[108] R. Gatenby,et al. Application of competition theory to tumour growth: implications for tumour biology and treatment. , 1996, European journal of cancer.
[109] M. Chaplain. Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development , 1996 .
[110] Altered glucose metabolism and the invasive tumor phenotype. , 1996, International journal of oncology.
[111] R. Jain,et al. Effect of radiation on interstitial fluid pressure and oxygenation in a human tumor xenograft. , 1996, Cancer research.
[112] R. Jain,et al. Pharmacokinetic analysis of the microscopic distribution of enzyme-conjugated antibodies and prodrugs: comparison with experimental data. , 1996, British Journal of Cancer.
[113] H M Byrne,et al. Growth of necrotic tumors in the presence and absence of inhibitors. , 1996, Mathematical biosciences.
[114] B. Adelmann-Grill,et al. Differentiation stage and cell cycle position determine the chemotactic response of fibroblasts. , 1996, Folia histochemica et cytobiologica.
[115] J. Sherratt,et al. Biological inferences from a mathematical model for malignant invasion. , 1996, Invasion & metastasis.
[116] R K Jain,et al. Compatibility and the genesis of residual stress by volumetric growth , 1996, Journal of mathematical biology.
[117] R. Hoffman,et al. Liver colonization competence governs colon cancer metastasis. , 1995, Proceedings of the National Academy of Sciences of the United States of America.
[118] H M Byrne,et al. Growth of nonnecrotic tumors in the presence and absence of inhibitors. , 1995, Mathematical biosciences.
[119] R. Skalak,et al. Time-dependent behavior of interstitial fluid pressure in solid tumors: implications for drug delivery. , 1995, Cancer research.
[120] R. Gatenby,et al. Models of tumor-host interaction as competing populations: implications for tumor biology and treatment. , 1995, Journal of theoretical biology.
[121] Kumbakonam R. Rajagopal,et al. Mechanics of Mixtures , 1995 .
[122] John A. Adam,et al. A simple mathematical model and alternative paradigm for certain chemotherapeutic regimens , 1995 .
[123] J. Hendry,et al. Apoptosis, intrinsic radiosensitivity and prediction of radiotherapy response in cervical carcinoma. , 1995, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.
[124] R. Gatenby,et al. The potential role of transformation-induced metabolic changes in tumor-host interaction. , 1995, Cancer research.
[125] L. Taber. Biomechanics of Growth, Remodeling, and Morphogenesis , 1995 .
[126] John A. Adam,et al. A mathematical model of cycle-specific chemotherapy , 1995 .
[127] G. Storme,et al. Patterns of Axillary Lymph Node Metastasis in Breast Cancer , 1995, American journal of clinical oncology.
[128] Z. Darżynkiewicz. Apoptosis in anititumor strategies: Modulation of cell cycle or differentiation , 1995, Journal of cellular biochemistry.
[129] M. Miyasaka. Cancer metastasis and adhesion molecules. , 1995, Clinical orthopaedics and related research.
[130] J. Murray,et al. A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth , 1995, Cell proliferation.
[131] R K Jain,et al. Noninvasive measurement of interstitial pH profiles in normal and neoplastic tissue using fluorescence ratio imaging microscopy. , 1994, Cancer research.
[132] C. Potten,et al. Apoptosis and cancer chemotherapy. , 1994, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.
[133] P K Maini,et al. Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. , 1994, Mathematical biosciences.
[134] A. McCulloch,et al. Stress-dependent finite growth in soft elastic tissues. , 1994, Journal of biomechanics.
[135] R. Nagle,et al. Adhesion molecules, extracellular matrix, and proteases in prostate carcinoma. , 1994, Journal of cellular biochemistry. Supplement.
[136] Jonathan A. Sherratt,et al. Cellular Growth Control and Travelling Waves of Cancer , 1993, SIAM J. Appl. Math..
[137] W M Lai,et al. Constitutive modeling of articular cartilage and biomacromolecular solutions. , 1993, Journal of biomechanical engineering.
[138] N F Britton,et al. On the concentration profile of a growth inhibitory factor in multicell spheroids. , 1993, Mathematical biosciences.
[139] Sophia Maggelakis,et al. Mathematical model of prevascular growth of a spherical carcinoma-part II , 1993 .
[140] G J Pettet,et al. Cell migration in multicell spheroids: swimming against the tide. , 1993, Bulletin of mathematical biology.
[141] Mark A. J. Chaplain,et al. The Development of a Spatial Pattern in a Model for Cancer Growth , 1993 .
[142] 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.
[143] J. Adam,et al. Equilibrium model of a vascularized spherical carcinoma with central necrosis — Some properties of the solution , 1993, Journal of mathematical biology.
[144] N F Britton,et al. A qualitative analysis of some models of tissue growth. , 1993, Mathematical biosciences.
[145] L. Liotta,et al. Tumor cell interactions with the extracellular matrix during invasion and metastasis. , 1993, Annual review of cell biology.
[146] Philip K. Maini,et al. Experimental and Theoretical Advances in Biological Pattern Formation , 1993, NATO ASI Series.
[147] R. Jain,et al. Angiogenesis, microvascular architecture, microhemodynamics, and interstitial fluid pressure during early growth of human adenocarcinoma LS174T in SCID mice. , 1992, Cancer research.
[148] R K Jain,et al. Microvascular pressure is the principal driving force for interstitial hypertension in solid tumors: implications for vascular collapse. , 1992, Cancer research.
[149] M. Raff,et al. Social controls on cell survival and cell death , 1992, Nature.
[150] K Messmer,et al. Interstitial hypertension in head and neck tumors in patients: correlation with tumor size. , 1992, Cancer research.
[151] M. Hendrix,et al. Role of the alpha v beta 3 integrin in human melanoma cell invasion. , 1992, Proceedings of the National Academy of Sciences of the United States of America.
[152] JD Jan Janssen,et al. A mixture approach to the mechanics of the human intervertebral disc , 1992 .
[153] T. Karalis. Mechanics of Swelling , 1992, NATO ASI Series.
[154] R K Jain,et al. Interstitial hypertension in superficial metastatic melanomas in humans. , 1991, Cancer research.
[155] W M Lai,et al. A triphasic theory for the swelling and deformation behaviors of articular cartilage. , 1991, Journal of biomechanical engineering.
[156] D. Hirst,et al. Changes in tumour morphology with alterations in oxygen availability: further evidence for oxygen as a limiting substrate. , 1991, British Journal of Cancer.
[157] R. Gatenby,et al. Population ecology issues in tumor growth. , 1991, Cancer research.
[158] R K Jain,et al. Transport of fluid and macromolecules in tumors. IV. A microscopic model of the perivascular distribution. , 1991, Microvascular research.
[159] C. McCulloch,et al. Quantification of chemotactic response of quiescent and proliferating fibroblasts in Boyden chambers by computer-assisted image analysis. , 1991, The journal of histochemistry and cytochemistry : official journal of the Histochemistry Society.
[160] R K Jain,et al. Transport of fluid and macromolecules in tumors. III. Role of binding and metabolism. , 1991 .
[161] R. Clarke,et al. The process of malignant progression in human breast cancer. , 1990, Annals of oncology : official journal of the European Society for Medical Oncology.
[162] R K Jain,et al. Transport of fluid and macromolecules in tumors. II. Role of heterogeneous perfusion and lymphatics. , 1990, Microvascular research.
[163] G. Mazzini,et al. Cell cycle-related proteins and flow cytometry. , 1990, Haematologica.
[164] L. Liotta,et al. Signal transduction for chemotaxis and haptotaxis by matrix molecules in tumor cells , 1990, The Journal of cell biology.
[165] G. S. H. Lock,et al. The effects of tilt, skew and roll on natural convection in a slender, laterally-heated cavity , 1990 .
[166] V. C. Mow,et al. Biphasic and Quasilinear Viscoelastic Theories for Hydrated Soft Tissues , 1990 .
[167] J A Adam,et al. Diffusion regulated growth characteristics of a spherical prevascular carcinoma. , 1990, Bulletin of mathematical biology.
[168] Savio Lau-Yuen Woo,et al. Biomechanics of diarthrodial joints , 1990 .
[169] J. Adam,et al. Mathematical models of tumor growth. IV. Effects of a necrotic core. , 1989, Mathematical biosciences.
[170] R K Jain,et al. Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection. , 1989, Microvascular research.
[171] J. Adam. A mathematical model of tumor growth by diffusion , 1988 .
[172] R K Jain,et al. Mechanisms of heterogeneous distribution of monoclonal antibodies and other macromolecules in tumors: significance of elevated interstitial pressure. , 1988, Cancer research.
[173] J. Volpe. Genetic instability of cancer. Why a metastatic tumor is unstable and a benign tumor is stable. , 1988, Cancer genetics and cytogenetics.
[174] R. Carter,et al. ENCAPSULATION OF TUMOURS AS A MODIFIED WOUND HEALING RESPONSE , 1988, The Lancet.
[175] Partial purification of a protein growth inhibitor from multicellular spheroids. , 1988, Biochemical and biophysical research communications.
[176] R. Sutherland. Cell and environment interactions in tumor microregions: the multicell spheroid model. , 1988, Science.
[177] Athanasios I. Liapis,et al. Oxygen tension profiles in tumors predicted by a diffusion with absorption model involving a moving free boundary , 1988 .
[178] R. Gatenby,et al. AN ANALYSIS OF SYSTEMIC TUMOR OXYGENATION USING MULTI-REGION MODELS , 1988 .
[179] P. Pelcé. Dynamics of curved fronts , 1988 .
[180] A. Kolmogoroff,et al. Study of the Diffusion Equation with Growth of the Quantity of Matter and its Application to a Biology Problem , 1988 .
[181] J. Adam. A mathematical model of tumor growth. II. effects of geometry and spatial nonuniformity on stability , 1987 .
[182] J. Adam. A mathematical model of tumor growth. III. comparison with experiment , 1987 .
[183] W. King,et al. On the analysis of oxygen diffusion and reaction in biological systems , 1987 .
[184] van Dh Dick Campen,et al. A mixture approach to the mechanics of skin. , 1987, Journal of biomechanics.
[185] J. Adam. A simplified mathematical model of tumor growth , 1986 .
[186] R F Kallman,et al. Effect of cytochalasin B, nocodazole and irradiation on migration and internalization of cells and microspheres in tumor cell spheroids. , 1986, Experimental cell research.
[187] R. Gatenby,et al. Multi-region models for describing oxygen tension profiles in human tumors , 1986 .
[188] M. Sato. [Mechanical properties of living tissues]. , 1986, Iyo denshi to seitai kogaku. Japanese journal of medical electronics and biological engineering.
[189] L. Gerschenson,et al. Evidence for soluble factors regulating cell death and cell proliferation in primary cultures of rabbit endometrial cells grown on collagen. , 1986, Proceedings of the National Academy of Sciences of the United States of America.
[190] G. Todaro,et al. Isolation of tumor cell growth-inhibiting factors from a human rhabdomyosarcoma cell line. , 1985, Cancer research.
[191] J. Moore,et al. Tumour cords in 52 human bronchial and cervical squamous cell carcinomas: inferences for their cellular kinetics and radiobiology. , 1985, British Journal of Cancer.
[192] W. Au,et al. Normal sister chromatid exchange frequencies during growth of a transplantable murine myeloid leukemia. , 1985, Cancer genetics and cytogenetics.
[193] 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.
[194] M. Brattain,et al. Identification of a tumor inhibitory factor in rat ascites fluid. , 1984, Biochemical and biophysical research communications.
[195] S. L. Passman,et al. A Theory of Multiphase Mixtures , 1984 .
[196] W. Looney,et al. Tumour-cord parameters in two rat hepatomas that differ in their radiobiological oxygenation status , 1984, Radiation and environmental biophysics.
[197] S. Levin. Lectu re Notes in Biomathematics , 1983 .
[198] W. Looney,et al. Response of cell populations in tumor cords to a single dose of cyclophosphamide or radiation. , 1983, European journal of cancer & clinical oncology.
[199] J P Freyer,et al. A model for the growth of multicellular spheroids , 1982, Cell and tissue kinetics.
[200] R F Kallman,et al. Migration and internalization of cells and polystyrene microsphere in tumor cell spheroids. , 1982, Experimental cell research.
[201] D. Hirst,et al. Proliferation kinetics of endothelial and tumour cells in three mouse mammary carcinomas , 1982, Cell and tissue kinetics.
[202] E Otten,et al. Analytical description of growth. , 1982, Journal of theoretical biology.
[203] R. Sutherland,et al. A move for the better. , 1994, Environmental health perspectives.
[204] A. Liapis,et al. A model of oxygen diffusion in absorbing tissue , 1982 .
[205] Vinay G. Vaidya,et al. Evaluation of some mathematical models for tumor growth. , 1982, International journal of bio-medical computing.
[206] W. Loewenstein,et al. Junctional intercellular communication: the cell-to-cell membrane channel. , 1981, Physiological reviews.
[207] Y. Fung,et al. Biomechanics: Mechanical Properties of Living Tissues , 1981 .
[208] J P Freyer,et al. Shedding of mitotic cells from the surface of multicell spheroids during growth , 1981, Journal of cellular physiology.
[209] Richard Skalak,et al. Growth as A Finite Displacement Field , 1981 .
[210] R. M. Bowen,et al. Incompressible porous media models by use of the theory of mixtures , 1980 .
[211] D L McElwain,et al. A model of vascular compression in solid tumours. , 1979, Journal of theoretical biology.
[212] D. Hirst,et al. TUMOUR CELL PROLIFERATION IN RELATION TO THE VASCULATURE , 1979, Cell and tissue kinetics.
[213] J. Yuhas,et al. Multicellular tumor spheroid formation by breast cancer cells isolated from different sites. , 1978, Cancer research.
[214] J. Yuhas,et al. Growth fraction as the major determinant of multicellular tumor spheroid growth rates. , 1978, Cancer research.
[215] D. McElwain,et al. Apoptosis as a volume loss mechanism in mathematical models of solid tumor growth , 1978 .
[216] J. Carlsson,et al. Proliferation and viability in cellular spheroids of human origin. , 1978, Cancer research.
[217] D L McElwain,et al. A re-examination of oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics. , 1978, Journal of theoretical biology.
[218] Method for quantitating tumor cell removal and tumor cell-invasive capacity in experimental metastases. , 1977, Cancer research.
[219] P. J. Ponzo,et al. A model for the growth of a solid tumor with non-uniform oxygen consumption , 1977 .
[220] Morton E. Gurtin,et al. On the diffusion of biological populations , 1977 .
[221] G M Saidel,et al. Diffusion model of tumor vascularization and growth , 1977, Bulletin of mathematical biology.
[222] S. Garattini,et al. Cancer invasion and metastasis : biologic mechanisms and therapy , 1977 .
[223] Shymko Rm,et al. Cellular and geometric control of tissue growth and mitotic instability. , 1976 .
[224] R E Durand,et al. CELL CYCLE KINETICS IN AN IN VITRO TUMOR MODEL , 1976, Cell and tissue kinetics.
[225] G M Saidel,et al. Stochastic model of metastases formation. , 1976, Biometrics.
[226] S. H. Lin,et al. Oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. , 1976, Journal of theoretical biology.
[227] Donald A. Drew,et al. Two-phase flows: Constitutive equations for lift and Brownian motion and some basic flows , 1976 .
[228] L. Liotta,et al. The significance of hematogenous tumor cell clumps in the metastatic process. , 1976, Cancer research.
[229] G M Saidel,et al. System dynamics of metastatic process from an implanted tumor. , 1976, Journal of theoretical biology.
[230] R. M. Bowen. Part I – Theory of Mixtures , 1976 .
[231] H. Greenspan. On the growth and stability of cell cultures and solid tumors. , 1976, Journal of theoretical biology.
[232] Deakin As,et al. Model for the growth of a solid in vitro tumor. , 1975 .
[233] A S Deakin,et al. Model for the growth of a solid in vitro tumor. , 1975, Growth.
[234] I. N. Katz,et al. Stochastic processes for solid tumor kinetics II. Diffusion-regulated growth , 1974 .
[235] J. Folkman,et al. Proceedings: Tumor angiogenesis factor. , 1974, Cancer research.
[236] L. Liotta,et al. Quantitative relationships of intravascular tumor cells, tumor vessels, and pulmonary metastases following tumor implantation. , 1974, Cancer research.
[237] I. N. Katz,et al. Stochastic processes for solid tumor kinetics I. surface-regulated growth☆ , 1974 .
[238] Greenspan Hp,et al. On the self-inhibited growth of cell cultures. , 1974 .
[239] S. Robbins,et al. Pathologic basis of disease , 1974 .
[240] J. Folkman,et al. SELF-REGULATION OF GROWTH IN THREE DIMENSIONS , 1973, The Journal of experimental medicine.
[241] I. Tannock,et al. The response of viable tumor cords to a single dose of radiation. , 1973, Radiation research.
[242] M. Gurtin,et al. Letter: A system of equations for age-dependent population diffusion. , 1973, Journal of theoretical biology.
[243] L. Glass. Instability and Mitotic Patterns in Tissue Growth , 1973 .
[244] G. Casarett,et al. Development of the vascular system in the hamster malignant neurilemmoma. , 1973, Microvascular research.
[245] R. Sutherland,et al. Hypoxic cells in an in vitro tumour model. , 1973, International journal of radiation biology and related studies in physics, chemistry, and medicine.
[246] H. Greenspan. Models for the Growth of a Solid Tumor by Diffusion , 1972 .
[247] A. Wyllie,et al. Apoptosis: A Basic Biological Phenomenon with Wide-ranging Implications in Tissue Kinetics , 1972, British Journal of Cancer.
[248] Lee A. Segel,et al. Averaged Equations for Two-Phase Flows , 1971 .
[249] J F Kerr,et al. Shrinkage necrosis: A distinct mode of cellular death , 1971, The Journal of pathology.
[250] Donald A. Drew,et al. Averaged Field Equations for Two‐Phase Media , 1971 .
[251] The pattern of tumour growth. , 1971 .
[252] W. Bullough,et al. The pattern of tumour growth. , 1971, Symposia of the Society for Experimental Biology.
[253] R. Sutherland,et al. Growth of multicell spheroids in tissue culture as a model of nodular carcinomas. , 1971, Journal of the National Cancer Institute.
[254] R. M. Bowen,et al. Diffusion in Mixtures of Elastic Materials. , 1969 .
[255] J. Folkman,et al. Preservation of Vascular Integrity in Organs perfused in vitro with a Platelet-rich Medium , 1969, Nature.
[256] D. Lal,et al. Chemical Composition of Nuclei of Z > 22 in Cosmic Rays using Meteoritic Minerals as Detectors , 1969, Nature.
[257] I. Tannock. The relation between cell proliferation and the vascular system in a transplanted mouse mammary tumour. , 1968, British journal of cancer.
[258] M Takahashi,et al. Theoretical basis for cell cycle analysis: II. Further studies on labelled mitosis wave method. , 1968, Journal of theoretical biology.
[259] J. Meixner,et al. S. Flügge, Herausgeber: Handbuch der Physik, Band III/3: Die nicht‐linearen Feldtheorien der Mechanik. Von C. Truesdell und W. Noll. Springer‐Verlag, Berlin/Heidelberg/New York 1965. VIII/602 Seiten. Preis: 198,‐ DM , 1967, Berichte der Bunsengesellschaft für physikalische Chemie.
[260] J. Griffiths,et al. Circulating cancer cells , 1965 .
[261] Manabu Takahashi,et al. Theoretical basis for cell cycle analysis I. Labelled mitosis wave method , 1966 .
[262] J. Folkman,et al. Tumor Behavior in Isolated Perfused Organs: In Vitro Growth and Metastases of Biopsy Material in Rabbit Thyroid and Canine Intestinal Segment , 1966, Annals of surgery.
[263] Burton Ac,et al. Rate of growth of solid tumours as a problem of diffusion. , 1966, Growth.
[264] A C Burton,et al. Rate of growth of solid tumours as a problem of diffusion. , 1966, Growth.
[265] C. Truesdell,et al. The Non-Linear Field Theories Of Mechanics , 1992 .
[266] W. Bullough. Mitotic and functional homeostasis: a speculative review. , 1965, Cancer research.
[267] Tyler Sa,et al. Dynamics of normal growth. , 1965 .
[268] A. K. Laird,et al. Dynamics of relative growth. , 1965, Growth.
[269] A. D. Barton,et al. Dynamics of normal growth. , 1965, Growth.
[270] Laird Ak. DYNAMICS OF TUMOR GROWTH. , 1964 .
[271] A. K. Laird. Dynamics of Tumour Growth , 1964, British Journal of Cancer.
[272] A. Koike. Mechanism of blood‐borne metastases. I. Some factors affecting lodgment and growth of tumor cells in the lungs , 1964, Cancer.
[273] A. Otis,et al. BLOOD FLOW, BLOOD OXYGEN TENSION, OXYGEN UPTAKE, AND OXYGEN TRANSPORT IN SKELETAL MUSCLE. , 1964, The American journal of physiology.
[274] B. Sylvén,et al. On the Access of Blood-Borne Dyes to Various Tumour Regions , 1962, British Journal of Cancer.
[275] G. Froese,et al. The respiration of ascites tumour cells at low oxygen concentrations. , 1962, Biochimica et biophysica acta.
[276] E. M. Renkin,et al. Autoregulation of blood flow in resting skeletal muscle , 1961 .
[277] W. Nowinski. Fundamental Aspects of Normal and Malignant Growth , 1961 .
[278] O. Bodansky. Fundamental Aspects of Normal and Malignant Growth , 1960 .
[279] C. Truesdell,et al. The Classical Field Theories , 1960 .
[280] B. Chance. Cellular oxygen requirements. , 1957, Federation proceedings.
[281] M. De. Handbuch der Physik , 1957 .
[282] E E OSGOOD,et al. A unifying concept of the etiology of the leukemias, lymphomas, and cancers. , 1957, Journal of the National Cancer Institute.
[283] L. H. Gray,et al. The Histological Structure of Some Human Lung Cancers and the Possible Implications for Radiotherapy , 1955, British Journal of Cancer.
[284] L. H. Gray,et al. The concentration of oxygen dissolved in tissues at the time of irradiation as a factor in radiotherapy. , 1953, The British journal of radiology.
[285] W. Cramer. [Prevention of cancer]. , 1934, Prakticky lekar.
[286] David G. Kendall,et al. ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESS , 1948 .
[287] L. Walford,et al. Bioenergetics and Growth , 1947 .
[288] H. Greene. HETEROLOGOUS TRANSPLANTATION OF MAMMALIAN TUMORS I. THE TRANSFER OF RABBIT TUMORS TO ALIEN SPECIES , 1941 .
[289] H. Greene. HETEROLOGOUS TRANSPLANTATION OF MAMMALIAN TUMORS , 1941, The Journal of experimental medicine.
[290] A. Haddow. The biological characters of spontaneous tumours of the mouse, with special reference to rate of growth , 1938 .
[291] R. Fisher. THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES , 1937 .
[292] J. C. Mottram,et al. A Factor of Importance in the Radio Sensitivity of Tumours , 1936 .
[293] W. V. Mayneord. On a Law of Growth of Jensen's Rat Sarcoma , 1932 .
[294] J. Huxley. Problems of relative growth , 1932 .
[295] C. Winsor,et al. The Gompertz Curve as a Growth Curve. , 1932, Proceedings of the National Academy of Sciences of the United States of America.
[296] Otto Warburn,et al. THE METABOLISM OF TUMORS , 1931 .
[297] Archibald Vivian Hill,et al. The Diffusion of Oxygen and Lactic Acid through Tissues , 1928 .
[298] T. Brailsford Robertson,et al. The chemical basis of growth and senscence , 1923 .
[299] R. Lomer. Zur Frage der Heilbarkeit des Carcinoms , 1903 .
[300] J. Cruveilhier. Anatomie pathologique du corps humain , 2022 .
[301] Benjamin Gompertz,et al. XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c , 1825, Philosophical Transactions of the Royal Society of London.
[302] Benjamin Gompertz,et al. On the Nature of the Function Expressive of the Law of Human Mortality , 1815 .
[303] R. A. ANDERSONa,et al. Mathematical Modelling of Tumour Invasion and Metastasis , 2022 .