Format:
Online-Ressource (VIII, 289 p. 118 illus., 81 illus. in color, digital)
ISBN:
9783642201646
Series Statement:
Springer Proceedings in Mathematics 15
Content:
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 -- 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.-An Integrative Approach to the Analysis of Pattern Formation in Butterfly Wings – Experiments and Models. T. Sekimura -- 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.
Content:
Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume offers an interdisciplinary interaction space between biologists working in this field and mathematicians, who may propose solutions to the problems put forward by biologists. The main goal is to facilitate the process of cultivating a mutual recognition of the complementary skills between biologists and mathematicians, to the point where the resulting synergy generates new and novel discoveries in the field of Developmental Biology. Lastly, the volume shows how a combination of new discoveries in developmental biology and associated mathematical modeling and computational techniques has stimulated or may stimulate relevant advances in the field. .
Note:
Description based upon print version of record
,
Pattern Formation in Morphogenesis; Problems and Mathematical Issues; Preface; Contents; Why Would a Mathematician Care AboutEmbryology?; Part I: Biological Background; Preface to the Biological Part; Pattern Formation in Regenerating Tissues; 1 Tissue Repair Versus Pattern Formation in Regenerating Tissues; 2 Models of Pattern Formation in Regenerative Tissues; 3 Development Versus Regeneration; 4 Role of Stem Cells in Regenerative Biology and Pattern Formation; References; Gradients and Regulatory Networks of Wnt Signalling in Hydra Pattern Formation; 1 Introduction
,
2 The Hydra Head Organiser Is an Organiser Equivalent to the Blastoporal Organiser in Bilaterians3 An Autocatalytic Regulatory Network Maintains Wnt Signalling in the Hydra Head Organiser; 4 The Wnt Gradient Is Transformed into a Gradient of Stable beta-Catenin Expression; 5 Theses; References; Mathematical Modeling of Planar Cell Polarity Signaling; References; Integrated Molecular Circuits for Stem Cell Activity in Arabidopsis Roots; References; The Mechanics of Tissue Morphogenesis; 1 Introduction; 2 Research Results; 3 Open Questions and Problems; Associated Publications; Primary Articles
,
ReviewsSmall Regulatory RNAs and Skeletal Muscle Cell Differentiation; 1 New Roles for RNA; 2 Small Regulatory RNAs; 2.1 Cytoplasmic Small Regulatory RNAs: The MicroRNA Pathway; 2.2 Nuclear Small Regulatory RNAs: Gene Silencing; 3 Molecular Mechanisms; 3.1 MicroRNAs in Development; 3.2 MicroRNAs in Cell Differentiation; 3.2.1 In Vivo Studies; 3.2.2 In Vitro Experiments; 3.3 Fishing for Targets; References; Pattern Formation in Sea Urchin Endomesoderm as Instructed by Gene Regulatory Network Topologies; 1 Genomic Information Is Identical in All Cells and Underlies Functional Diversification
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2 Regulatory State Domains3 Gene Regulatory Networks; 3.1 Gene Regulatory Network Structure; 3.2 Gene Regulatory Network Model; 3.3 Gene Regulatory Network Analyses; 4 Formation of Spatial Regulatory States in Sea Urchin Embryos; 4.1 Function of the Skeletogenic Micromeres in Embryonic Development; 4.2 Control of the Earliest Spatially Restricted Expression: The Double Negative Gate Subcircuit; 4.3 Independent Progression of Skeletogenic Fate Specification in the Entire Skeletogenic Lineage; 4.4 Signaling Functions in the Skeletogenic GRN; 4.5 Induction of Mesodermal Cell Fate
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4.6 Induction of Endodermal Cell Fate4.7 Spatial Separation of Endodermal and Mesodermal Cell Fates; 5 Concluding Remarks; References; Part II: Mathematical Models; Modelling Oscillator Synchronisation During Vertebrate Axis Segmentation; 1 Introduction; 2 A Simple Model for Cell Synchronisation in the PSM; 2.1 Results; 3 Investigating the Perturbation to Oscillator Synchronisation Arising from Cell Mitosis; 3.1 Model Development; 3.2 Results; 4 Investigating the Perturbation to Oscillator Synchronisation Arising from Random Cell Movement; 4.1 Model Development; 4.2 Results; 5 Discussion
,
References
Additional Edition:
ISBN 9783642201639
Additional Edition:
Erscheint auch als Druck-Ausgabe Pattern formation in morphogenesis Heidelberg, New York [u.a.] : Springer, 2013 ISBN 9783642201639
Additional Edition:
ISBN 3642201636
Language:
English
Keywords:
Morphogenese
;
Musterbildung
;
Mathematisches Modell
;
Aufsatzsammlung
DOI:
10.1007/978-3-642-20164-6
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Capasso, Vincenzo 1945-
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