Description

Book Synopsis
With the needed mathematical and computational tools, this book provides a solid foundation in formulating and solving real-world PDE numerical and analytical problems in various fields from applied mathematics, engineering, and computer science to biology and medicine.

Table of Contents

Preface ix

1. Introduction to Partial Differentiation Equation Analysis: Chemotaxis 1

2. Pattern Formation 43

3. Belousov–Zhabotinskii Reaction System 103

4. Hodgkin–Huxley and Fitzhugh–Nagumo Models 127

5. Anesthesia Spatiotemporal Distribution 163

6. Influenza with Vaccination and Diffusion 207

7. Drug Release Tracking 243

8. Temperature Distributions in Cryosurgery 287

Index 323


Preface ix

1. Introduction to Ordinary Differential Equation Analysis: Bioreactor Dynamics 1

2. Diabetes Glucose Tolerance Test 79

3. Apoptosis 145

4. Dynamic Neuron Model 191

5. Stem Cell Differentiation 217

6. Acetylcholine Neurocycle 241

7. Tuberculosis with Differential Infectivity 321

8. Corneal Curvature 337

Appendix A1: Stiff ODE Integration 375

Index 417

Differential Equation Analysis Set

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    A Hardback by William E. Schiesser

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      Publisher: John Wiley & Sons Inc
      Publication Date: 13/05/2014
      ISBN13: 9781118775257, 978-1118775257
      ISBN10: 1118775252
      Also in:
      Biotechnology

      Description

      Book Synopsis
      With the needed mathematical and computational tools, this book provides a solid foundation in formulating and solving real-world PDE numerical and analytical problems in various fields from applied mathematics, engineering, and computer science to biology and medicine.

      Table of Contents

      Preface ix

      1. Introduction to Partial Differentiation Equation Analysis: Chemotaxis 1

      2. Pattern Formation 43

      3. Belousov–Zhabotinskii Reaction System 103

      4. Hodgkin–Huxley and Fitzhugh–Nagumo Models 127

      5. Anesthesia Spatiotemporal Distribution 163

      6. Influenza with Vaccination and Diffusion 207

      7. Drug Release Tracking 243

      8. Temperature Distributions in Cryosurgery 287

      Index 323


      Preface ix

      1. Introduction to Ordinary Differential Equation Analysis: Bioreactor Dynamics 1

      2. Diabetes Glucose Tolerance Test 79

      3. Apoptosis 145

      4. Dynamic Neuron Model 191

      5. Stem Cell Differentiation 217

      6. Acetylcholine Neurocycle 241

      7. Tuberculosis with Differential Infectivity 321

      8. Corneal Curvature 337

      Appendix A1: Stiff ODE Integration 375

      Index 417

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