On a Model Mechanism for the Spatial Patterning of Teeth Primordia in the Alligator

† Division of Biology, Beckman Institute (139-74), California Institute of Technology, Pasadena, CA, 91125, U.S.A.; ‡ Sea Fisheries Research Institute, Rogge Bay, 8012 Capetown, South Africa; § Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, U.S.A.; §§ Centre for Mathematical Biology, Mathematical Institute, 24–29 St Giles’, Oxford OX1 3LB, U.K.; ¶ Department of Mathematics, University of Canterbury, Christchurch, NZ; and ¶¶ School of Biological Sciences, The University of Manchester, 3.239 Stopford Building, Oxford Road, Manchester, M13 9PT, U.K.

[1]  K. Showalter,et al.  Anisotropy and spiral organizing centers in patterned excitable media. , 1995, Science.

[2]  J. W. Osborn,et al.  A Model Simulating Tooth Morphogenesis without Morphogens , 1993 .

[3]  Chris Cosner,et al.  The effects of spatial heterogeneity in population dynamics , 1991 .

[4]  J. W. Osborn,et al.  The ontogeny of tooth succession in Lacerta vivipara Jacquin (1787) , 1971, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[5]  H. Meinhardt,et al.  A theory of biological pattern formation , 1972, Kybernetik.

[6]  L. Wolpert Positional information and the spatial pattern of cellular differentiation. , 1969, Journal of theoretical biology.

[7]  M. Ferguson,et al.  Development of the dentition in Alligator mississippiensis. Later development in the lower jaws of embryos, hatchlings and young juveniles , 1987 .

[8]  M. W. Woerdeman Beiträge zur Entwicklungsgeschichte von Zähnen und Gebiss der Reptilien , 1918 .

[9]  M. Ferguson,et al.  The homeobox gene Hox 7.1 has specific regional and temporal expression patterns during early murine craniofacial embryogenesis, especially tooth development in vivo and in vitro. , 1991, Development.

[10]  P. M. Butler,et al.  Development, function and evolution of teeth , 1978 .

[11]  A. Lumsden Spatial organization of the epithelium and the role of neural crest cells in the initiation of the mammalian tooth germ. , 1988, Development.

[12]  B. Jacq,et al.  Hox‐7, a mouse homeobox gene with a novel pattern of expression during embryogenesis. , 1989, The EMBO journal.

[13]  E. Kollar,et al.  Role of the early epithelium in the patterning of the teeth and Meckel's cartilage. , 1991, Journal of craniofacial genetics and developmental biology.

[14]  M. Ferguson,et al.  Expression patterns of the homeobox gene, Hox-8, in the mouse embryo suggest a role in specifying tooth initiation and shape. , 1992, Development.

[15]  E. Kollar,et al.  EGF antisense oligodeoxynucleotides block murine odontogenesis in vitro. , 1991, Developmental biology.

[16]  J. Murray,et al.  A model for the spatial patterning of teeth primordia in the alligator : initiation of the dental determinant , 1993 .

[17]  E. Gordon Evolution of dental patterns in the lower vertebrates , 1960 .

[18]  M. Ferguson,et al.  Development of the dentition in Alligator mississippiensis. Early embryonic development in the lower jaw , 2009 .

[19]  M. Ferguson,et al.  Development of the dentition in Alligator mississippiensis: upper jaw dental and craniofacial development in embryos, hatchlings, and young juveniles, with a comparison to lower jaw development. , 1990, The American journal of anatomy.

[20]  I. Thesleff,et al.  Identification of BMP-4 as a signal mediating secondary induction between epithelial and mesenchymal tissues during early tooth development , 1993, Cell.

[21]  P. Maini,et al.  Diffusion driven instability in an inhomogeneous domain , 1993 .

[22]  M. Ferguson,et al.  Epithelial-mesenchymal interactions are required for msx 1 and msx 2 gene expression in the developing murine molar tooth. , 1993, Development.

[23]  E. Kollar,et al.  The induction of odontogenesis in non-dental mesenchyme combined with early murine mandibular arch epithelium. , 1987, Archives of oral biology.

[24]  J. Schnakenberg,et al.  Simple chemical reaction systems with limit cycle behaviour. , 1979, Journal of theoretical biology.

[25]  A. Turing,et al.  The chemical basis of morphogenesis. 1953. , 1990, Bulletin of mathematical biology.

[26]  R. Baldock,et al.  The Msh-like homeobox genes define domains in the developing vertebrate eye. , 1991, Development.

[27]  M. Mimura,et al.  Spatial patterns for an interaction-diffusion equation in morphogenesis , 1979, Journal of mathematical biology.

[28]  M. W. Woerdeman Beiträge zur Entwicklungsgeschichte von Zähnen und Gebiss der Reptilien , 1921 .

[29]  I. Thesleff,et al.  Growth factors and tooth development. , 1989, The International journal of developmental biology.

[30]  G. Nicolis,et al.  Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions , 1975 .