Preface.-
Why Would a Mathematician Care About Embryology?
M.Gromov.-
PART I.BIOLOGICAL BACKGROUND.-
Preface to the Biological Part.- Pattern Formation in Regenerating Tissues. A.Hoffmann and P.A. Tsonis.- Gradients and Regulatory Networks of Wnt Signalling in
Hydra
Pattern Formation. T.W. Holstein.- Modeling of Planar Cell Polarity Signaling.
J.D. Axelrod
.- Integrated Molecular Circuits for Stem Cell Activity in Arabidopsis Roots.
B. Scheres.- The Mechanics of Tissue Morphogenesis.
T. Lecuit.- Small Regulatory RNAs and Skeletal Muscle Cell 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.
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Pattern Formation in Sea Urchin Endomesoderm as Instructed by Gene Regulatory Network Topologies.
I.S. Peter and E.H. Davidson.-
PART II. MATHEMATICAL MODELS.-
Modelling Oscillator Synchronisation During Vertebrate Axis Segmentation.
P.J. Murray, P.K. Maini, and R.E. Baker
.-
Pattern Formation in Hybrid Models of Cell Populations. N. Bessonov, P. Kurbatova, V. Volpert.
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An Integrative Approach to the Analysis of Pattern Formation in Butterfly Wings
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Experiments and Models. T. Sekimura.
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Modeling Morphogenesis in Multicellular Structures with Cell Complexes and L-systems. P. Prusinkiewicz and B. Lane.- Multistability and Hysteresis-based Mechanism of Pattern Formation in Biology. A. Marciniak-Czochra and A. Köthe.- How to knock out feedback Circuits in Gene Networks? H. Gruber, A. Richard, C. Soulé.- Formation of Evolutionary Patterns in Cancer Dynamics. M. Delitala and T. Lorenzi.- How Cell Decides Between Life and Death: Mathematical Modeling of Epigenetic Landscapes of Cellular Fates. A. Zinovyev, L. Calzone, S.Fourquet and E. Barillot.-
PART III. IDEAS, HYPOTHESIS, SUGGESTIONS.-
From Hydra to Vertebrates: Models for the Transition from Radial- to Bilateral-symmetric Body Plans, H. Meinhardt.- Cell Division and Hyperbolic Geometry. M. Gromov.- Formalistic Representation of the Cellular Architecture in the Course of Plant Tissue Development. I.V. Rudskiy.- The Geometry of Morphogenesis and the Morphogenetic Field Concept. N.Morozova and M.Shubin.- Randomness and Geometric Structures in Biology. V. Capasso.