Magnetization to Morphogenesis: A Brief History of the Glazier-Graner-Hogeweg Model
暂无分享,去创建一个
[1] N. Metropolis,et al. Equation of State Calculations by Fast Computing Machines , 1953, Resonance.
[2] H. Bode,et al. Patterning processes in aggregates of Hydra cells visualized with the monoclonal antibody, TS19. , 1990, Developmental biology.
[3] James A. Glazier,et al. Coarsening in the two-dimensional soap froth and the large-Q Potts model: A detailed comparison , 1990 .
[4] Denis Weaire,et al. Computer simulation of a two-dimensional soap froth , 1983 .
[5] P. Hogeweg,et al. Modelling Morphogenesis: From Single Cells to Crawling Slugs. , 1997, Journal of theoretical biology.
[6] L. Onsager. Crystal statistics. I. A two-dimensional model with an order-disorder transition , 1944 .
[7] G. Forgacs,et al. Biological Physics of the Developing Embryo , 2005 .
[8] Paulien Hogeweg,et al. 9 – Computing an organism: on the interface between informatic and dynamic processes , 2003 .
[9] P. McClintock,et al. Biological Physics of the Developing Embryo , 2005 .
[10] M. S. Steinberg,et al. Does differential adhesion govern self-assembly processes in histogenesis? Equilibrium configurations and the emergence of a hierarchy among populations of embryonic cells. , 1970, The Journal of experimental zoology.
[11] P. Hogeweg,et al. How amoeboids self-organize into a fruiting body: Multicellular coordination in Dictyostelium discoideum , 2001, Proceedings of the National Academy of Sciences of the United States of America.
[12] Erkki Ruoslahti,et al. Stretching Is Good for a Cell , 1997, Science.
[13] S. Brush. History of the Lenz-Ising Model , 1967 .
[14] J. Kermode,et al. Computer simulation of a two-dimensional soap froth II. Analysis of results , 1984 .
[15] P. Hogeweg,et al. Evolving mechanisms of morphogenesis: on the interplay between differential adhesion and cell differentiation. , 2000, Journal of theoretical biology.
[16] Peter J. Bentley,et al. On growth, form and computers , 2003 .
[17] Maciej Swat,et al. Adhesion between cells, diffusion of growth factors, and elasticity of the AER produce the paddle shape of the chick limb. , 2006, Physica A.
[18] Jesús A. Izaguirre,et al. COMPUCELL, a multi-model framework for simulation of morphogenesis , 2004, Bioinform..
[19] Paulien Hogeweg,et al. Modelling Dictyostelium discoideum morphogenesis: The culmination , 2002, Bulletin of mathematical biology.
[20] R. B. Potts. Some generalized order-disorder transformations , 1952, Mathematical Proceedings of the Cambridge Philosophical Society.
[21] Y. Sawada,et al. Diffusion and deformations of single hydra cells in cellular aggregates. , 2000, Biophysical journal.
[22] James A. Glazier,et al. Non-turing stripes and spots: a novel mechanism for biological cell clustering , 2004 .
[23] G. Grest,et al. Effects of lattice anisotropy and temperature on domain growth in the two-dimensional Potts model. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[24] Malcolm S. Steinberg,et al. The Problem of Adhesive Selectivity in Cellular Interactions , 1964 .
[25] Glazier,et al. Simulation of the differential adhesion driven rearrangement of biological cells. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[26] Denis Weaire,et al. Monte Carlo simulation of the evolution of a two-dimensional soap froth , 1986 .
[27] F Graner,et al. Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[28] Arpita Upadhyaya,et al. Thermodynamic and fluid properties of cells, tissues and membranes , 2000 .
[29] J. Ashkin,et al. Two Problems in the Statistical Mechanics of Crystals. I. The Propagation of Order in Crystal Lattices. I. The Statistics of Two-Dimensional Lattices with Four Components. , 1943 .
[30] T. Holstein,et al. Cell sorting during the regeneration of Hydra from reaggregated cells. , 1992, Developmental biology.
[31] L. Preziosi,et al. Modeling the early stages of vascular network assembly , 2003, The EMBO journal.
[32] Roeland M. H. Merks,et al. A cell-centered approach to developmental biology , 2005 .
[33] M. Takeichi,et al. Experimental specification of cell sorting, tissue spreading, and specific spatial patterning by quantitative differences in cadherin expression. , 1994, Proceedings of the National Academy of Sciences of the United States of America.
[34] E. Ising. Beitrag zur Theorie des Ferromagnetismus , 1925 .
[35] P. Hogeweg,et al. Multilevel Selection in Models of Prebiotic Evolution: Compartments and Spatial Self-organization , 2003, Origins of life and evolution of the biosphere.
[36] Samuel A. Safran,et al. Kinetics of ordering in two dimensions. II. Quenched systems , 1983 .
[37] F. Y. Wu. The Potts model , 1982 .
[38] Kevin J Painter,et al. From a discrete to a continuous model of biological cell movement. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[39] S. Wong,et al. A Cursory Study of the Thermodynamic and Mechanical Properties of Monte-Carlo Simulations of the Ising Model , 2004 .
[40] G. Forgacs,et al. Viscoelastic properties of living embryonic tissues: a quantitative study. , 1998, Biophysical journal.
[41] Attila Szolnoki,et al. Vertex dynamics during domain growth in three-state models. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[42] Elizabeth A. Holm,et al. The computer simulation of microstructural evolution , 2001 .
[43] P. Brazdil,et al. Analysis of results , 1995 .
[44] G. Forgacs,et al. Surface tensions of embryonic tissues predict their mutual envelopment behavior. , 1996, Development.
[45] S. Kauffman. Metabolic stability and epigenesis in randomly constructed genetic nets. , 1969, Journal of theoretical biology.
[46] J. Davies,et al. Molecular Biology of the Cell , 1983, Bristol Medico-Chirurgical Journal.
[47] 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.
[48] James A. Glazier,et al. Modelling Grain Growth and Soap Froth Coarsening: Past, Present and Future , 1992 .
[49] P. Armstrong,et al. A role for fibronectin in cell sorting. , 1984, Journal of cell science.
[50] James A. Glazier. Dynamics of Cellular Patterns , 1992 .
[51] Glazier,et al. Grain growth in three dimensions depends on grain topology. , 1993, Physical review letters.
[52] Y. Sawada,et al. Development of electrical activity in regenerating aggregates of hydra cells. , 1995, The Journal of experimental zoology.
[53] Samuel A. Safran,et al. Kinetics of ordering in two dimensions. I. Model systems , 1983 .
[54] P. Armstrong,et al. CELL SORTING IN THE PRESENCE OF CYTOCHALASIN B , 1972, The Journal of cell biology.
[55] Michael Locke,et al. Cellular membranes in development , 1964 .
[56] D. Mattis,et al. The Theory of Magnetism I , 1981 .
[57] Paulien Hogeweg,et al. Computing an organism: on the interface between informatic and dynamic processes. , 2002, Bio Systems.
[58] Roeland M. H. Merks,et al. Dynamic mechanisms of blood vessel growth , 2006, Nonlinearity.
[59] Malcolm S. Steinberg,et al. Reconstruction of Tissues by Dissociated Cells , 1963 .
[60] Y. Sawada,et al. Pattern formation in hydra tissue without developmental gradients. , 1989, Developmental biology.
[61] Elizabeth A. Holm,et al. Comparison of phase-field and Potts models for coarsening processes , 1998 .
[62] Nicholas J Savill,et al. Control of epidermal stem cell clusters by Notch-mediated lateral induction. , 2003, Developmental biology.
[63] Steinberg,et al. Liquid properties of embryonic tissues: Measurement of interfacial tensions. , 1994, Physical review letters.
[64] Y Sawada,et al. Minimum tissue size required for hydra regeneration. , 1993, Developmental biology.
[65] Jesús A. Izaguirre,et al. Multi-model Simulations of Chicken Limb Morphogenesis , 2003, International Conference on Computational Science.
[66] P. S. Sahni,et al. Kinetics of the Q-state Potts model in two dimensions , 1983 .
[67] Y. Sawada,et al. Regulation in the numbers of tentacles of aggregated hydra cells. , 1989, Developmental biology.
[68] J. Sherratt,et al. Intercellular adhesion and cancer invasion: a discrete simulation using the extended Potts model. , 2002, Journal of theoretical biology.
[69] Glazier,et al. Simulation of biological cell sorting using a two-dimensional extended Potts model. , 1992, Physical review letters.
[70] J. Glazier,et al. Solving the advection-diffusion equations in biological contexts using the cellular Potts model. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[71] Yi-Tsann Jiang,et al. Extended large-Q Potts model simulation of foam drainage , 1996 .
[72] Yi Jiang. Cellular pattern formation , 1998 .
[73] Long-Qing Chen,et al. Computer simulation of 3-D grain growth using a phase-field model , 2002 .
[74] A Oikawa,et al. Patterning in hydra cell aggregates without the sorting of cells from different axial origins. , 1992, Developmental biology.
[75] Mombach,et al. Mitosis and growth in biological tissues. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.