Modeling Differential Equations in Biology
eBook - PDF

Modeling Differential Equations in Biology

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Modeling Differential Equations in Biology

About this book

Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists.

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Yes, you can access Modeling Differential Equations in Biology by Clifford Henry Taubes in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Frontmatter
  3. Contents
  4. Preface
  5. Introduction
  6. Exponential Growth
  7. Introduction to Differential Equations
  8. Stability in a One-Component System
  9. Systems of First-Order Differential Equations
  10. Phase Plane Analysis
  11. Introduction to Vectors
  12. Equilibrium in Two-Component, Linear Systems
  13. Stability in Nonlinear Systems
  14. Nonlinear Stability Revisited
  15. Matrix Notation
  16. Remarks About Australian Predators
  17. Introduction to Advection
  18. Diffusion Equations
  19. Two Key Properties of the Advection and Diffusion Equations
  20. The No-Trawling Zone
  21. Separation of Variables
  22. The Diffusion Equation and Pattern Formation
  23. Stability Criterion
  24. Summary of Advection/Diffusion
  25. Traveling Waves
  26. Traveling Wave Velocities
  27. Periodic Solutions
  28. Fast and Slow
  29. Estimating Elapsed Time
  30. Switches
  31. Testing for Periodicity
  32. Causes of Chaos
  33. Extra Exercises and Solutions
  34. Index