Pattern Formation in Morphogenesis: Problems and Mathematical Issues

✍ Scribed by Misha Gromov (auth.), Vincenzo Capasso, Misha Gromov, Annick Harel-Bellan, Nadya Morozova, Linda Louise Pritchard (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 282
• Series: Springer Proceedings in Mathematics 15
• Edition: 1
• Category: Library

✦ Synopsis

Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.

✦ Table of Contents

Front Matter....Pages i-viii
Why Would a Mathematician Care About Embryology?....Pages 1-3
Front Matter....Pages 5-5
Pattern Formation in Regenerating Tissues....Pages 7-15
Gradients and Regulatory Networks of Wnt Signalling in Hydra Pattern Formation....Pages 17-25
Mathematical Modeling of Planar Cell Polarity Signaling....Pages 27-35
Integrated Molecular Circuits for Stem Cell Activity in Arabidopsis Roots....Pages 37-39
The Mechanics of Tissue Morphogenesis....Pages 41-57
Small Regulatory RNAs and Skeletal Muscle Cell Differentiation....Pages 59-74
Pattern Formation in Sea Urchin Endomesoderm as Instructed by Gene Regulatory Network Topologies....Pages 75-92
Front Matter....Pages 93-93
Modelling Oscillator Synchronisation During Vertebrate Axis Segmentation....Pages 95-105
Pattern Formation in Hybrid Models of Cell Populations....Pages 107-119
An Integrative Approach to the Analysis of Pattern Formation in Butterfly Wings: Experiments and Models....Pages 121-136
Modeling Morphogenesis in Multicellular Structures with Cell Complexes and L-systems....Pages 137-151
Multistability and Hysteresis-Based Mechanism of Pattern Formation in Biology....Pages 153-173
How to Knock Out Feedback Circuits in Gene Networks?....Pages 175-177
Formation of Evolutionary Patterns in Cancer Dynamics....Pages 179-190
How Cell Decides Between Life and Death: Mathematical Modeling of Epigenetic Landscapes of Cellular Fates....Pages 191-204
Front Matter....Pages 205-205
From Hydra to Vertebrates: Models for the Transition from Radial- to Bilateral-Symmetric Body Plans....Pages 207-224
Cell Division and Hyperbolic Geometry....Pages 225-231
Formalistic Representation of the Cellular Architecture in the Course of Plant Tissue Development....Pages 233-254
The Geometry of Morphogenesis and the Morphogenetic Field Concept....Pages 255-282
Front Matter....Pages 205-205
Randomness and Geometric Structures in Biology....Pages 283-289

✦ Subjects

Applications of Mathematics; Biomedicine general; Computational Biology/Bioinformatics; Microbial Genetics and Genomics; Mathematics, general