Preface Chapter 1.Introduction 1.1.Modeling Biological Development 1.2.Early Stages: A Brief Survey 1.3. An Example: Formation of the Blastocoel Chapter 2.Catastrophe Theory 2.1.Basic Elements 2.2.Categorization and Applications 2.3.Global Implications of Local Structure Chapter 3.Pattern Formation 3.1.Biological Pattern 3.2.Reaction-Diffusion Systems: Inception of Inhomogeneity 3.3.Inhomogeneous Steady State 3.4.Multistable Regimes 3.5.Some Applications Chapter 4.Differential Adhesion and Morphogenesis 4.1.Cell Sorting by Differential Adhesion 4.2. Rheology of Cell Aggregates 4.3. Elements of Morphodynamics Chapter 5.The Origins of Movement 5.1.Chemistry and Geometry of Adhesion 5.2.Equilibrium and Stability 5.3.Gastrulation in Amphibians 5.4.Cell Motion in Thin Layers 5.5.Dynamics of Adhesion-Driven Structure 5.6.Cell-Substrate Adhesion 5.7.Imaginal Disc Evagination Chapter 6.Chemotaxis 6.1.Initiation of Slime Mold Aggregation 6.2.Other Aspects of Chemotaxis Chapter 7.Cell Proliferation 7.1.Homogeneous Population 7.2.Environmental Control of Cell Division 7.3.Stem Cell Dynamics 7.4.Sol-Gel Transformation 7.5.Mesoscopic Viewpoint 7.6.Turing Dynamical Resolution Chapter 8.Somite Formation in Vertebrates 8.1.Elementary Oscillations 8.2.Time-Delay Oscillators 8.3.Biochemical Entrainment and Biochemical Waves 8.4.Clock, Wavefront, and Somite Condensation Chapter 9.Compartments 9.1. The Evidence and Its Implications 9.2. Nonlinear Theory of Compartmentalization Chapter 10.Segmentation of Insect Embryos 10.1.Prototypical Reaction-Diffusion: One Component 10.2.Prepattern Activation 10.3.Further Aspects of Reaction-Diffusion 10.4.Pattern Under Growth: Chick Limb Bud 10.5.Insect Imaginal Disc Supplementary Notes Chapter 2 Chapter 3 Chapters 4 and 5 Chapter 6 Chapters 7 and 8 Chapters 9 and 10 Bibliography Index
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