Modeling Biological Systems: Principles and Applications (Hardback)
  • Modeling Biological Systems: Principles and Applications (Hardback)

Modeling Biological Systems: Principles and Applications (Hardback)

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Hardback Published: 06/05/2005
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I Principles 1 1 Models of Systems 3 1. 1 Systems. Models. and Modeling ...3 1. 2 Uses of Scientific Models ...4 1. 3 Example: Island Biogeography ...6 1. 4 Classifications of Models ...10 1. 5 Constraints on Model Structure ...12 1. 6 Some Terminology ...12 1. 7 Misuses of Models: The Dark Side ...13 1. 8 Exercises ...15 2 The Modeling Process 17 2. 1 Models Are Problems ...17 2. 2 Two Alternative Approaches ...18 2. 3 An Example: Population Doubling Time ...24 2. 4 Model Objectives ...28 2. 5 Exercises ...30 3 Qualitative Model Formulation 32 3. 1 How to Eat an Elephant ...32 3. 2 Forrester Diagrams ...33 3. 3 Examples ...36 3. 4 Errors in Forrester Diagrams ...44 3. 5 Advantages and Disadvantages of Forrester Diagrams ...44 3. 6 Principles of Qualitative Formulation ...45 3. 7 Model Simplification ...47 3. 8 Other Modeling Problems ...49 viii Contents ...3. 9 Exercises 53 4 Quantitative Model Formulation: I 4. 1 From Qualitative to Quantitative ...Finite Difference Equations and Differential Equations 4. 2 ...4. 3 Biological Feedback in Quantitative Models ...4. 4 Example Model ...4. 5 Exercises 5 Quantitative Model Formulation: I1 81 ...5. 1 Physical Processes 81 ...5. 2 Using the Toolbox of Biological Processes 89 ...5. 3 Useful Functions 96 ...5. 4 Examples 102 ...5. 5 Exercises 104 6 Numerical Techniques 107 ...6. 1 Mistakes Computers Make 107 ...6. 2 Numerical Integration 110 ...6. 3 Numerical Instability and Stiff Equations 115 ...

Publisher: Springer-Verlag New York Inc.
ISBN: 9780387250113

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