发育生物学中的数学模型（影印版）

从卵发育成完整生物体 的过程，是生命科学最吸引 人的轨迹之一，其复杂性要 求有极高的组织度，并伴有 一系列相互间持续通信的子 过程。本书介绍了过去几十 年在发育生物学进展中最具 代表性的数学模型，以及为 求解这些模型而发展的技术 。这些模型提供了一种以简 洁形式整合可靠数据的有效 途径，给出了一种与分子生 物学技术互补的方法，并为 未来的研究提供信息和指导 。本书可供对生物数学感兴 趣的研究生和数学研究人员 阅读参考。

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