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Modeling Differential Equations in Biology
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Librairie Eyrolles - Paris 5e
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Modeling Differential Equations in Biology

Modeling Differential Equations in Biology

Clifford Henry Taubes

480 pages, parution le 09/01/2002

Résumé

This book focuses on the differential equations and related subjects that are commonly used today by working life scientists. It emphasizes both the mathematics and how the mathematics is employed in order to introduce some potentially useful tools and modes of thought to future experimental biologists. Chapter topics include phase plane analysis, vectors, linear and non-linear systems, matrix notation, advection, diffusion equations, separation of variables, traveling waves, and periodic solutions. For individuals interested in biology and the life sciences, and aware of how they will play a major role in our society in the coming century.

Contents

1. Introduction.
2. Exponential Growth with Appendix on Taylor's Theorem.
3. Introduction to Differential Equations.
4. Stability in a One Component System.
5. Systems of First Order Differential Equations.
6. Phase Plane Analysis.
7. Introduction to Vectors.
8. Equilibrium in Two Component, Linear Systems.
9. Stability in Non-Linear Systems.
10. Non-linear Stability Again.
11. Matrix Notation.
12. Remarks about Australian Predators.
13. Introduction to Advection.
14. Diffusion Equations.
15. Two Key Properties of the Advection and Diffusion Equations.
16. The No Trawling Zone.
17. Separation of Variables.
18. The Diffusion Equation and Pattern Formation.
19. Stability Criteria.
20. Summary of Advection and Diffusion.
21. Traveling Waves.
22. Traveling Wave Velocities.
23. Periodic Solutions.
24. Fast and Slow.
25. Estimating Elapsed Time.
26. Switches.
27. Testing for Periodicity.
28. Causes of Chaos.

Caractéristiques techniques

  PAPIER
Éditeur(s) Prentice Hall
Auteur(s) Clifford Henry Taubes
Parution 09/01/2002
Nb. de pages 480
Format 18 x 24,1
Couverture Relié
Poids 908g
Intérieur Noir et Blanc
EAN13 9780130173256

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