Reaction-Diffusion Patterns in Plant Tip Morphogenesis: Bifurcations on Spherical Caps

[1]  Anja Geitmann,et al.  The role of pectin in plant morphogenesis , 2012, Biosyst..

[2]  David M. Holloway,et al.  Dynamic regulation of growing domains for elongating and branching morphogenesis in plants , 2012, Biosyst..

[3]  D. Holloway The Chemical Kinetics of Shape Determination in Plants , 2012 .

[4]  Cris Kuhlemeier,et al.  Cellular Force Microscopy for in Vivo Measurements of Plant Tissue Mechanics1[W][OA] , 2012, Plant Physiology.

[5]  Dorian Luis Linero Segrera,et al.  Appearance and formation of seed and pericarp may be explained by a reaction-diffusion mechanism? A mathematical modeling , 2012, Math. Comput. Model..

[6]  Roeland M. H. Merks,et al.  Simulation of Organ Patterning on the Floral Meristem Using a Polar Auxin Transport Model , 2012, PloS one.

[7]  Sebastian Wolf,et al.  Growth control by cell wall pectins , 2012, Protoplasma.

[8]  Emeric Bron,et al.  Pectin-Induced Changes in Cell Wall Mechanics Underlie Organ Initiation in Arabidopsis , 2011, Current Biology.

[9]  Arezki Boudaoud,et al.  In vivo analysis of local wall stiffness at the shoot apical meristem in Arabidopsis using atomic force microscopy. , 2011, The Plant journal : for cell and molecular biology.

[10]  Robert Palin A comparison of cell wall properties of Arabidopsis thaliana , 2011 .

[11]  P. Prusinkiewicz,et al.  Model for the regulation of Arabidopsis thaliana leaf margin development , 2011, Proceedings of the National Academy of Sciences.

[12]  C. M. Elliott,et al.  The surface finite element method for pattern formation on evolving biological surfaces , 2011, Journal of mathematical biology.

[13]  Anotida Madzvamuse,et al.  Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains , 2010, Journal of mathematical biology.

[14]  D. Holloway The role of chemical dynamics in plant morphogenesis(1). , 2010, Biochemical Society transactions.

[15]  J. Palovaara,et al.  The polar auxin transport inhibitor NPA impairs embryo morphology and increases the expression of an auxin efflux facilitator protein PIN during Picea abies somatic embryo development. , 2009, Tree physiology.

[16]  J. Timmer,et al.  A competitive complex formation mechanism underlies trichome patterning on Arabidopsis leaves , 2008, Molecular systems biology.

[17]  L. G. Harrison,et al.  Pattern selection in plants: coupling chemical dynamics to surface growth in three dimensions. , 2007, Annals of botany.

[18]  P K Maini,et al.  A mechanism for morphogen-controlled domain growth , 2007, Journal of mathematical biology.

[19]  Philip K Maini,et al.  Mixed-mode pattern in Doublefoot mutant mouse limb--Turing reaction-diffusion model on a growing domain during limb development. , 2006, Journal of theoretical biology.

[20]  Edmund J. Crampin,et al.  Mode Transitions in a Model Reaction–Diffusion System Driven by Domain Growth and Noise , 2006, Bulletin of mathematical biology.

[21]  H. M. Byrne,et al.  Interactions Between Pattern Formation and Domain Growth , 2006, Bulletin of mathematical biology.

[22]  P. Prusinkiewicz,et al.  A plausible model of phyllotaxis , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Pierre Barbier de Reuille,et al.  Computer simulations reveal novel properties of the cell-cell signaling network at the shoot apex in /Arabidopsis , 2005 .

[24]  E. Mjolsness,et al.  An auxin-driven polarized transport model for phyllotaxis , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[25]  L. G. Harrison,et al.  CaEGTA uncompetitively inhibits calcium activation of whorl morphogenesis inAcetabularia , 1997, Protoplasma.

[26]  L. G. Harrison,et al.  Hair morphogenesis inAcetabularia mediterranea: Temperature-dependent spacing and models of morphogen waves , 1981, Protoplasma.

[27]  Bruce E. Shapiro,et al.  Modeling the organization of the WUSCHEL expression domain in the shoot apical meristem , 2005, ISMB.

[28]  R. A. Barrio,et al.  The Effect of Growth and Curvature on Pattern Formation , 2004 .

[29]  L. G. Harrison,et al.  Spatially quantitative control of the number of cotyledons in a clonal population of somatic embryos of hybrid larch Larix x leptoeuropaea. , 2004, Annals of botany.

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

[31]  L. G. Harrison,et al.  Reaction-diffusion models of growing plant tips: Bifurcations on hemispheres , 2003, Bulletin of mathematical biology.

[32]  P. Maini,et al.  Pattern formation in reaction-diffusion models with nonuniform domain growth , 2002, Bulletin of mathematical biology.

[33]  P. Aderkas In vitro phenotypic variation in larch cotyledon number , 2002 .

[34]  Michael J. Ward,et al.  The stability of spike solutions to the one-dimensional Gierer—Meinhardt model , 2001 .

[35]  L. G. Harrison,et al.  Algal morphogenesis: modelling interspecific variation in Micrasterias with reaction–diffusion patterned catalysis of cell surface growth , 1999 .

[36]  Andrew J. Fleming,et al.  Induction of Leaf Primordia by the Cell Wall Protein Expansin , 1997 .

[37]  D. Cosgrove Plant cell enlargement and the action of expansins , 1996, BioEssays : news and reviews in molecular, cellular and developmental biology.

[38]  L. G. Harrison,et al.  Order and localization in reaction-diffusion pattern , 1995 .

[39]  L. G. Harrison,et al.  Calcium localization during Acetabularia whorl formation: evidence supporting a two-stage hierarchical mechanism , 1988 .

[40]  L. G. Harrison,et al.  Coupling between reaction-diffusion prepattern and expressed morphogenesis, applied to desmids and dasyclads , 1988 .

[41]  H. Bauer Tables of the roots of the associated Legendre function with respect to the degree , 1986 .

[42]  L. G. Harrison,et al.  Quantitative control of Acetabularia morphogenesis by extracellular calcium: A test of kinetic theory , 1985 .

[43]  H. Meinhardt Models of biological pattern formation , 1982 .

[44]  T. Lacalli DISSIPATIVE STRUCTURES AND MORPHOGENETIC PATTERN IN UNICELLULAR ALGAE , 1981 .

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

[46]  H. Orel The Shaping of a Life , 1976 .

[47]  I. Prigogine,et al.  Symmetry Breaking Instabilities in Dissipative Systems. II , 1968 .

[48]  I. Prigogine,et al.  On symmetry-breaking instabilities in dissipative systems , 1967 .

[49]  A. M. Turing,et al.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.