By Vincenzo Capasso, Mathematician; et al (eds.)
ISBN-10: 3642201636
ISBN-13: 9783642201639
ISBN-10: 3642201644
ISBN-13: 9783642201646
Preface.- Why may a Mathematician Care approximately Embryology? M.Gromov.- half I.BIOLOGICAL BACKGROUND.- Preface to the organic Part.- development Formation in Regenerating Tissues. A.Hoffmann and P.A. Tsonis.- Gradients and Regulatory Networks of Wnt Signalling in Hydra development Formation. T.W. Holstein.- Modeling of Planar mobile Polarity Signaling. J.D. Axelrod.- built-in Molecular Circuits for Stem telephone job in Arabidopsis Roots. B. Scheres.- The Mechanics of Tissue Morphogenesis. T. Lecuit.- Small Regulatory RNAs and Skeletal Muscle mobilephone Differentiation. A. Harel-Bellan, A.Polesskaya, I.Naguibneva, M.Ameyar-Zazoua, C.Degerny, J.Kropp, N.Nonne, M.Souidi, G.Kratassiouk, G.Pinna, L.L.Pritchard.- trend Formation in Sea Urchin Endomesoderm as prompt via Gene Regulatory community Topologies. I.S. Peter and E.H. Davidson.- half II. MATHEMATICAL MODELS.- Modelling Oscillator Synchronisation in the course of Vertebrate Axis Segmentation. P.J. Murray, P.K. Maini, and R.E. Baker.- development Formation in Hybrid types of phone Populations. N. Bessonov, P. Kurbatova, V. Volpert.-An Integrative method of the research of development Formation in Butterfly Wings - Experiments and versions. T. Sekimura.- Modeling Morphogenesis in Multicellular buildings with cellphone Complexes and L-systems. P. Prusinkiewicz and B. Lane.- Multistability and Hysteresis-based Mechanism of development Formation in Biology. A. Marciniak-Czochra and A. Kothe.- how you can knock out suggestions Circuits in Gene Networks? H. Gruber, A. Richard, C. Soule.- Formation of Evolutionary styles in melanoma Dynamics. M. Delitala and T. Lorenzi.- How cellphone comes to a decision among lifestyles and dying: Mathematical Modeling of Epigenetic Landscapes of mobile Fates. A. Zinovyev, L. Calzone, S. Fourquet and E. Barillot.- half III. rules, speculation, SUGGESTIONS.- From Hydra to Vertebrates: types for the Transition from Radial- to Bilateral-symmetric physique Plans, H. Meinhardt.- phone department and Hyperbolic Geometry. M. Gromov.- Formalistic illustration of the mobile structure during Plant Tissue improvement. I.V. Rudskiy.- The Geometry of Morphogenesis and the Morphogenetic box thought. N.Morozova and M.Shubin.- Randomness and Geometric constructions in Biology. V. Capasso
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Extra info for Pattern formation in morphogenesis : problems and mathematical issues
Example text
We want ultimately to integrate constraints and controls into the study of morphogenesis, and I think this is just the beginning of a programme rather than a completion. 2 Research Results The system that we’ve been working on is the epithelial cells in the fly embryo, and what I would like to talk to you about is a particular dynamic process taking place in the early drosophila embryo, to try to illustrate what we do know about tissue mechanics, and how genes control and bias particular behaviours.
Axelrod JD (2001) Unipolar membrane association of Dishevelled mediates Frizzled planar cell polarity signaling. Genes Dev 15:1182–1187 43. Bastock R, Strutt H, Strutt D (2003) Strabismus is asymmetrically localised and binds to Prickle and Dishevelled during Drosophila planar polarity patterning. Development 130:3007–3014 44. Strutt DI (2001) Asymmetric localization of Frizzled and the establishment of cell polarity in the Drosophila wing. Mol Cell 7:367–375 45. Tree DRP et al (2002) Prickle mediates feedback amplification to generate asymmetric planar cell polarity signaling.
And there is somewhat intermediate behaviour, not quite linear, but more linear than any of the other behaviours, where, as the T1 transitions occur, the tissue elongates step by step. Passing through this configuration is in fact a T1 process, it’s an exchange of neighbours – they are topological transitions. So, you have two steps (Fig. 2d), but mathematically it’s one particular, unique, process, and this one process doesn’t care about physics, it’s a topological transition. I think that’s the best way to describe it.
Pattern formation in morphogenesis : problems and mathematical issues by Vincenzo Capasso, Mathematician; et al (eds.)
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