Individual-based approaches to birth and death in avascu1ar tumors
暂无分享,去创建一个
[1] 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.
[2] P. Verhulst,et al. Notice sur la loi que la population suit dans son accroissement. Correspondance Mathematique et Physique Publiee par A , 1838 .
[3] R. Fisher. THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES , 1937 .
[4] N. Rashevsky,et al. Outline of a mathematical approach to the cancer problem , 1945 .
[5] N. Metropolis,et al. Equation of State Calculations by Fast Computing Machines , 1953, Resonance.
[6] M. Eden. A Two-dimensional Growth Process , 1961 .
[7] S. M. Williamson,et al. Xenon Tetrafluoride: Heat of Formation , 1963, Science.
[8] J. A. Barker,et al. Structure of water; A Monte Carlo calculation , 1969 .
[9] T. Williams,et al. Stochastic Model for Abnormal Clone Spread through Epithelial Basal Layer , 1972, Nature.
[10] D. Richardson. Random growth in a tessellation , 1973, Mathematical Proceedings of the Cambridge Philosophical Society.
[11] H. Greenspan. On the growth and stability of cell cultures and solid tumors. , 1976, Journal of theoretical biology.
[12] A. Whittemore,et al. QUANTITATIVE THEORIES OF CARCINOGENESIS , 1978 .
[13] H. Janssen,et al. On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary state , 1981 .
[14] J P Freyer,et al. A reduction in the in situ rates of oxygen and glucose consumption of cells in EMT6/Ro spheroids during growth , 1985, Journal of cellular physiology.
[15] R. Sutherland. Cell and environment interactions in tumor microregions: the multicell spheroid model. , 1988, Science.
[16] Kuznetsov Va. A mathematical model for the interaction between cytotoxic T lymphocytes and tumour cells. Analysis of the growth, stabilization, and regression of a B-cell lymphoma in mice chimeric with respect to the major histocompatibility complex. , 1991, Biomedical science.
[17] M. Chaplain,et al. A mathematical model for the growth and classification of a solid tumor: a new approach via nonlinear elasticity theory using strain-energy functions. , 1992, Mathematical biosciences.
[18] FRACTAL FRAGMENTATION IN REPLICATIVE SYSTEMS , 1993 .
[19] M. Schienbein,et al. Random walk and directed movement: Comparison between inert particles and self-organized molecular machines. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[20] Yicheng Zhang,et al. Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics , 1995 .
[21] M. A. J. Chaplain,et al. The mathematical modelling of tumour angiogenesis and invasion , 1995, Acta biotheoretica.
[22] G. Oster,et al. How do sea urchins invaginate? Using biomechanics to distinguish between mechanisms of primary invagination. , 1995, Development.
[23] H M Byrne,et al. Growth of nonnecrotic tumors in the presence and absence of inhibitors. , 1995, Mathematical biosciences.
[24] José C. M. Mombach,et al. Quantitative comparison between differential adhesion models and cell sorting in the presence and absence of fluctuations. , 1995, Physical review letters.
[25] M. Chaplain,et al. Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis , 1995 .
[26] J. McCaskill,et al. Monte Carlo approach to tissue-cell populations. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[27] Nicola Bellomo,et al. A Survey of Models for Tumor-Immune System Dynamics , 1996 .
[28] W Düchting,et al. Cancer: a challenge for control theory and computer modelling. , 1996, European journal of cancer.
[29] M. Chaplain. Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development , 1996 .
[30] Paolo A. Netti,et al. Solid stress inhibits the growth of multicellular tumor spheroids , 1997, Nature Biotechnology.
[31] Frank Schweitzer,et al. Self-Organization of Complex Structures: From Individual to Collective Dynamics - Some Introductory , 1997 .
[32] J A Sherratt,et al. Pattern formation and spatiotemporal irregularity in a model for macrophage-tumour interactions. , 1997, Journal of theoretical biology.
[33] J. M. Pastor,et al. Super-rough dynamics on tumor growth , 1998 .
[34] Z. Agur,et al. The growth law of primary breast cancer as inferred from mammography screening trials data. , 1998, British Journal of Cancer.
[35] N. Britton,et al. Stochastic simulation of benign avascular tumour growth using the Potts model , 1999 .
[36] H M Byrne,et al. A mathematical model of the stress induced during avascular tumour growth , 2000, Journal of mathematical biology.
[37] D. Drasdo,et al. Modeling the interplay of generic and genetic mechanisms in cleavage, blastulation, and gastrulation , 2000, Developmental dynamics : an official publication of the American Association of Anatomists.
[38] A. Bertuzzi,et al. Cell kinetics in a tumour cord. , 2000, Journal of theoretical biology.
[39] Kurt Binder,et al. A Guide to Monte Carlo Simulations in Statistical Physics , 2000 .
[40] D. Beysens,et al. Cell sorting is analogous to phase ordering in fluids. , 2000, Proceedings of the National Academy of Sciences of the United States of America.
[41] J. Murray,et al. A quantitative model for differential motility of gliomas in grey and white matter , 2000, Cell proliferation.
[42] D. Drasdo,et al. Buckling instabilities of one-layered growing tissues. , 2000, Physical review letters.
[43] Jack Xin,et al. Front Propagation in Heterogeneous Media , 2000, SIAM Rev..
[44] M Scalerandi,et al. Emergence of taxis and synergy in angiogenesis. , 2001, Physical review letters.
[45] M. Chaplain,et al. A new mathematical model for avascular tumour growth , 2001, Journal of mathematical biology.
[46] H. Byrne,et al. The role of cell-cell interactions in a two-phase model for avascular tumour growth , 2002, Journal of mathematical biology.
[47] Helen M. Byrne,et al. A two-phase model of solid tumour growth , 2003, Appl. Math. Lett..