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内容简介

　　《生物数学（第2卷·第3版）》近代生物数学方面的名著。第三版，在原来版本的基础上做了全面修订。近年来这个科目的茁壮成长和新知识点的不断涌现，新的版本将原来的一卷集分成上下两卷，扩大了知识容量，第二卷绝大多数是新增知识点。书中对生物学中的反应扩散方程和形态发生学的数学理论及最新研究成果作了全面介绍，是学习与研究生物数学的一部不可多得的参考书。

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目录

CONTENTS,VOLUME Ⅱ
Preface to the Third Edition
Preface to the First Edition

1.Multi-Species Waves and Practical Applications
1.1 Intuitive Expectations
1.2 Waves of Pursuit and Evasion in Predator-Prey Systems
1.3 Competition Model for the Spatial Spread of the Grey Squirrel in Britain
1.4 Spread of Genetically Engineered Organisms
1.5 Travelling Fronts in the Belousov-Zhabotinskii Reaction
1.6 Waves in Excitable Media
1.7 Travelling Wave Trains in Reaction Diffusion Systems with Oscillatory Kinetics
1.8 Spiral Waves
1.9 Spiral Wave Solutions of Reaction Diffusion Systems
Exercises

2.Spatial Pattern Formation with Reaction Diffusion Systems
2.1 Role of Pattern in Biology
2.2 Reaction Diffusion （Taring） Mechanisms
2.3 General Conditions for Diffusion-Driven Instability: Linear Stability Analysis and Evolution of Spatial Pattern
2.4 Detailed Analysis of Pattern Initiation in a Reaction Diffusion Mechanism
2.5 Dispersion Relation luring Space,Scale and Geometry Effects in Pattern Formation Models
2.6 Mode Selection and the Dispersion Relation
2.7 Pattern Generation with Single-Species Models: Spatial Heterogeneity with the Spruce Budworm Model
2.8 Spatial Patterns in Scalar Population Interaction Diffusion
Equations with Convection: Ecological Control Strategies
2.9 Nonexistence of Spatial Patterns in Reaction Diffusion Systems: General and Particular Results
Exercises

3.Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms
3.1 Mammalian Coat Patterns——How the Leopard Got Its Spots
3.2 Teratologies: Examples of Animal Coat Pattern Abnormalities
3.3 A Pattern Formation Mechanism for Butterfly Wing Patterns
3.4 Modelling Hair Patterns in a Whorl in Acetabularia

4.Pattern Formation on Growing Domains: Alligators and Snakes
4.1 Stripe Pattern Formation in the Alligator: Experiments
4.2 Modelling Concepts: Determining the Time of Stripe Formation
4.3 Stripes and Shadow Stripes on the Alligator
4.4 Spatial Patterning of Teeth Primordia in the Alligator: Background and Relevance
4.5 Biology of Tooth Initiation
4.6 Modelling Tooth Primordium Initiation: Background
4.7 Model Mechanism for Alligator Teeth Patterning
4.8 Results and Comparison with Experimental Data
4.9 Prediction Experiments
4.10 Concluding Remarks on Alligator Tooth Spatial Patterning
4.11 Pigmentation Pattern Formation on Snakes
4.12 Cell-Chemotaxis Model Mechanism
4.13 Simple and Complex Snake Pattern Elements
4.14 Propagating Pattern Generation with the Cell-Chemotaxis System

5.Bacterial Patterns and Chemotaxis
5.1 Background and Experimental Results
5.2 Model Mechanism for E coil in the Semi-Solid Experiments
5.3 Liquid Phase Model: Intuitive Analysis of Pattern Formation
5.4 Interpretation of the Analytical Results and Numerical Solutions
5.5 Semi-Solid Phase Model Mechanism for S typhimurium
5.6 Linear Analysis of the Basic Semi-Solid Model
5.7 Brief Outline and Results of the Nonlinear Analysis
5.8 Simulation Results,Parameter Spaces and Basic Patterns
5.9 Numerical Results with Initial Conditions from the~Experiments
5.10 Swarm Ring Patterns with the Semi-Solid Phase Model Mechanism
5.11 Branching Patterns in Bacillus subtilis

6.Mechanical Theory for Generating Pattern and Form in Development
6.1 Introduction,Motivation and Background Biology
6.2 Mechanical Model for Mesenchymal Morphogenesis
6.3 Linear Analysis,Dispersion Relation and Pattern Formation Potential
6.4 Simple Mechanical Models Which Generate Spatial Patterns with Complex Dispersion Relations
6.5 Periodic Patterns of Feather Germs
6.6 Cartilage Condensations in Limb Morphogenesis and Morphogenetic Rules
6.7 Embryonic Fingerprint Formation
6.8 Mechanochemical Model for the Epidermis
6.9 Formation of Microvilli
6.10 Complex Pattern Formation and Tissue Interaction Models
Exercises

7.Evolution,Morphogenetic Laws,Developmental Constraints and Teratologies
8.A Mechanical Theory of Vascular Network Formation
9.Epidermal Wound Healing
10.Dermal Wound Healing
11.Growth and Control of Brain Tumours
12.Neural Models of Pattern Formation
13.Geographic Spread and Control of Epidemics
14.Wolf Territoriality,Wolf-Deer Interaction and Survival
Appendix
A General Results for the Laplacian Operator in Bounded Domains
Bibliography
Index

前言/序言

生物数学（第2卷·第3版） [Mathematical Biology] 电子书 下载 mobi epub pdf txt

评分☆☆☆☆☆

不连续数学方法还表现在对连续方法的补充。微积分学的基本理论指出，函数的可微性蕴涵着连续性。因此以微分运算为基础的数学模型都是连续的。这些模型只能适用于连续变化范围，对于连续函数出现不连续点或奇点（包括导函数不连续点）情形，将无能为力。而恰恰在这些破坏了连续性的区域，却常常是生物学需要研究的课题。

评分☆☆☆☆☆

还没看，先给个好评吧。物流也快。好评。

评分☆☆☆☆☆

知识是人类在实践中认识客观世界的成果。它可能包括事实，信息，描述或在教育和实践中获得的技能。它可能是关于理论的，也可能是关于实践的。在哲学中，关于知识的研究叫做认识论。知识的获取涉及到许多复杂的过程：感觉，交流，推理。知识也可以看成构成人类智慧的最根本的因素。

评分☆☆☆☆☆

书很厚，还没仔细阅读

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学习学习

评分☆☆☆☆☆

很好的经典书，本册主要是研究的PDE模型的。印刷质量也还不错。

评分☆☆☆☆☆

内容比较全面，可以读

评分☆☆☆☆☆

还没看，先给个好评吧。物流也快。好评。

评分☆☆☆☆☆

还没看，先给个好评吧。物流也快。好评。

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