生物數學（第2捲·第3版） [Mathematical Biology] pdf epub mobi txt 電子書 下載 2025

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☆☆☆☆☆

[美] 莫裏（Murray J.D.） 著

齣版社： 世界圖書齣版公司

ISBN：9787510052750

版次：3

商品編碼：11183576

包裝：平裝

外文名稱：Mathematical Biology

開本：24開

齣版時間：2013-01-01

用紙：膠版紙

頁數：811

正文語種：英文

內容簡介

　　《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

評分☆☆☆☆☆

還沒看，先給個好評吧。物流也快。好評。

評分☆☆☆☆☆

很好的經典書，本冊主要是研究的PDE模型的。印刷質量也還不錯。

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☆☆☆☆☆

學習學習

評分☆☆☆☆☆

知識是人類在實踐中認識客觀世界的成果。它可能包括事實，信息，描述或在教育和實踐中獲得的技能。它可能是關於理論的，也可能是關於實踐的。在哲學中，關於知識的研究叫做認識論。知識的獲取涉及到許多復雜的過程：感覺，交流，推理。知識也可以看成構成人類智慧的最根本的因素。

評分☆☆☆☆☆

不連續數學方法還錶現在對連續方法的補充。微積分學的基本理論指齣，函數的可微性蘊涵著連續性。因此以微分運算為基礎的數學模型都是連續的。這些模型隻能適用於連續變化範圍，對於連續函數齣現不連續點或奇點（包括導函數不連續點）情形，將無能為力。而恰恰在這些破壞瞭連續性的區域，卻常常是生物學需要研究的課題。

評分☆☆☆☆☆

知識是人類在實踐中認識客觀世界的成果。它可能包括事實，信息，描述或在教育和實踐中獲得的技能。它可能是關於理論的，也可能是關於實踐的。在哲學中，關於知識的研究叫做認識論。知識的獲取涉及到許多復雜的過程：感覺，交流，推理。知識也可以看成構成人類智慧的最根本的因素。

評分☆☆☆☆☆

比如描述生物種群增長的費爾許爾斯特-珀爾方程，就能夠比較正確的錶示種群增長的規律；通過描述捕食與被捕食兩個種群相剋關係的洛特卡-沃爾泰拉方程，從理論上說明：農藥的濫用，在毒殺害蟲的同時也殺死瞭害蟲的天敵，從而常常導緻害蟲更猖獗地發生等。618活動時購入，核算下來差不多4摺，很實惠，感謝京東，以後買書就上京東瞭。

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。