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Pattern Formation in Morphogenesis: Problems and Mathematical Issues

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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. Holst...

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Bibliographische Detailangaben
Weitere Verfasser: Capasso, Vincenzo (HerausgeberIn) , Gromov, Mikhael (HerausgeberIn) , Harel-Bellan, Annick (HerausgeberIn) , Morozova, Nadya (HerausgeberIn) , Pritchard, Linda Louise (HerausgeberIn)
Dokumenttyp: Edited Volume
Sprache:Englisch
Veröffentlicht: Berlin Heidelberg Springer 2013
Schriftenreihe:Springer proceedings in mathematics 15
In: Springer proceedings in mathematics (15)

Volumes / Articles: Show Volumes / Articles.
DOI:10.1007/978-3-642-20164-6
Schlagworte:
Aufsatzsammlung
Mathematisches Modell
Musterbildung
Morphogenese
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/978-3-642-20164-6
Resolving-System, lizenzpflichtig, Volltext: http://dx.doi.org/10.1007/978-3-642-20164-6
Cover: https://swbplus.bsz-bw.de/bsz375372873cov.jpg
Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1321.92029
Verlag, Inhaltstext: http://deposit.dnb.de/cgi-bin/dokserv?id=3681264&prov=M&dok_var=1&dok_ext=htm
Verlag, Inhaltsverzeichnis: http://d-nb.info/1010389637/04
Volltext
Verfasserangaben:edited by Vincenzo Capasso, Misha Gromov, Annick Harel-Bellan, Nadya Morozova, Linda Louise Pritchard
Inhaltsangabe:
  • 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
  • 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
  • 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

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