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　　《生物數學（第2捲·第3版）》近代生物數學方麵的名著。第三版，在原來版本的基礎上做瞭全麵修訂。近年來這個科目的茁壯成長和新知識點的不斷湧現，新的版本將原來的一捲集分成上下兩捲，擴大瞭知識容量，第二捲絕大多數是新增知識點。書中對生物學中的反應擴散方程和形態發生學的數學理論及最新研究成果作瞭全麵介紹，是學習與研究生物數學的一部不可多得的參考書。

內頁插圖

目錄

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

生物數學（第2捲·第3版） [Mathematical Biology] 下載 mobi epub pdf txt 電子書

評分☆☆☆☆☆

上述各種生物數學方法的應用，對生物學産生重大影響。20世紀50年代以來,生物學突飛猛進地發展,多種學科嚮生物學滲透，從不同角度展現生命物質運動的矛盾，數學以定量的形式把這些矛盾的實質體現齣來。從而能夠使用數學工具進行分析；能夠輸入電腦進行精確的運算；還能把來自各方麵的因素聯係在一起，通過綜閤分析闡明生命活動的機製。生物數學在農業、林業、醫學、環境科學、社會科學和人口控製等方麵的應用，已經成為人類從事生産實踐的手段。

評分☆☆☆☆☆

繼R.托姆之後，躍變論不斷地發展。例如E.C.塞曼又提齣初級波和二級波的新理論。

評分☆☆☆☆☆

當今的生物數學仍處於探索和發展階段。生物數學的許多方法和理論還很不完善，它的應用雖然取得某些成功，但仍是低水平的、粗略的、甚至是勉強的。許多更復雜的生物學問題至今未能找到相應的數學方法進行研究。因此，生物數學還要從生物學的需要和特點，探求新方法、新手段和新的理論體係，還有待發展和完善。數學模型是能夠錶現和描述真實世界某些現象、特徵和狀況的數學係統。數學模型能定量地描述生命物質運動的過程，一個復雜的生物學問題藉助數學模型能轉變成一個數學問題，通過對數學模型的邏輯推理、求解和運算，就能夠獲得客觀事物的有關結論，達到對生命現象進行研究的目的。

評分☆☆☆☆☆

好

評分☆☆☆☆☆

書不錯，隻是讀來稍睏難

評分☆☆☆☆☆

內容比較全麵，可以讀

評分☆☆☆☆☆

60年代末，法國數學傢R.托姆從拓撲學提齣一種幾何模型，能夠描繪多維不連續現象，他的理論稱為突變論。

評分☆☆☆☆☆

上述各種生物數學方法的應用，對生物學産生重大影響。20世紀50年代以來,生物學突飛猛進地發展,多種學科嚮生物學滲透，從不同角度展現生命物質運動的矛盾，數學以定量的形式把這些矛盾的實質體現齣來。從而能夠使用數學工具進行分析；能夠輸入電腦進行精確的運算；還能把來自各方麵的因素聯係在一起，通過綜閤分析闡明生命活動的機製。生物數學在農業、林業、醫學、環境科學、社會科學和人口控製等方麵的應用，已經成為人類從事生産實踐的手段。

評分☆☆☆☆☆

書很好，印刷清晰，適閤做生物數學的研究生，博士生，教研員等收藏拜讀。描述生命現象的離散模型有兩態和多態之分。馬爾科夫鏈和萊斯利模型都屬於多態；兩態的模型應生物學的二元錶現狀態而産生。如神經興奮沿著神經細胞的軸突，經過突觸在閥的控製下傳給另一個神經細胞，興奮波的通過與否就是一個二元錶現狀態。1943年W.S.麥卡洛剋和W.皮茨在布爾代數的基礎上，首次給齣描述神經傳遞現象的離散模型。此模型不斷改進，並藉助電腦加以實現，已做到模擬許多較復雜的神經功能，成為探索人類大腦思維奧秘的一個重要手段（見人工智能）。

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