Kinetic theory of living pattern.

The self-organization whereby developing organisms generate the patterns and spatial relationships of their parts has not been explained on any generally accepted theoretical basis. There is a wide gulf between physical scientists and experimental biologists in their expectations of the kind of theory that is best to pursue. Physical scientists incline towards the power of nonlinear dynamics to generate pattern and are trying evangelistically to interest biologists in this approach.

[1]  I. Epstein,et al.  Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction System , 1991, Science.

[2]  L G Harrison,et al.  Turing's conditions and the analysis of morphogenetic models. , 1979, Journal of theoretical biology.

[3]  H L Frisch,et al.  Dynamics of skeletal pattern formation in developing chick limb. , 1979, Science.

[4]  T. Lacalli,et al.  Theoretical aspects of stripe formation in relation to Drosophila segmentation. , 1988, Development.

[5]  B. Nagorcka.  A pattern formation mechanism to control spatial organization in the embryo of Drosophila melanogaster. , 1988, Journal of theoretical biology.

[6]  H. Swinney,et al.  Experimental observation of self-replicating spots in a reaction–diffusion system , 1994, Nature.

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

[8]  S. Kauffman,et al.  Spatial harmonics and pattern specification in early Drosophila development. Part I. Bifurcation sequences and gene expression. , 1990, Journal of theoretical biology.

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

[10]  J. Gross,et al.  Plasma membrane proton pump inhibition and stalk cell differentiation in Dictyostelium discoideum. , 1988, Differentiation; research in biological diversity.

[11]  L. G. Harrison,et al.  Computations of post‐inductive dynamics in axolotl heart formation , 1994, Developmental dynamics : an official publication of the American Association of Anatomists.

[12]  L. G. Harrison.  What is the status of reaction-diffusion theory thirty-four years after turing? , 1987, Journal of theoretical biology.

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

[14]  J. Tabony,et al.  Spatial structures in microtubular solutions requiring a sustained energy source , 1990, Nature.

[15]  H. Meinhardt,et al.  A model of pattern formation in insect embryogenesis. , 1977, Journal of cell science.

[16]  S A Newman,et al.  Lineage and pattern in the developing vertebrate limb. , 1988, Trends in genetics : TIG.

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

[18]  C. H. Waddington,et al.  Principles of Embryology , 2016 .

[19]  Arthur T. Winfree,et al.  Rotating Chemical Reactions , 1974 .

[20]  A G Jacobson,et al.  The shaping of tissues in embryos. , 1978, Scientific American.

[21]  P. Alberch,et al.  The mechanical basis of morphogenesis. I. Epithelial folding and invagination. , 1981, Developmental biology.

[22]  H. Swinney,et al.  Transition from a uniform state to hexagonal and striped Turing patterns , 1991, Nature.

[23]  Michael J. Lyons,et al.  Stripe selection: An intrinsic property of some pattern‐forming models with nonlinear dynamics , 1992, Developmental dynamics : an official publication of the American Association of Anatomists.

[24]  Michael J. Lyons,et al.  A class of reaction-diffusion mechanisms which preferentially select striped patterns , 1991 .

[25]  Dulos,et al.  Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern. , 1990, Physical review letters.

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

[27]  Michael Akam,et al.  Making stripes inelegantly , 1989, Nature.

[28]  Reaction diffusion modelling of biological pattern formation: application to the embryogenesis of Dr , 1990 .

[29]  T. Lacalli.  Modeling the Drosophila pair-rule pattern by reaction-diffusion: gap input and pattern control in a 4-morphogen system. , 1990, Journal of theoretical biology.

[30]  M. Akam,et al.  The molecular basis for metameric pattern in the Drosophila embryo. , 1987, Development.