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Primer on mathematical models in biology / Lee A. Segel and Leah Edelstein-Keshet.

By: Contributor(s): Material type: TextTextPublication details: Philadelphia : Society for Industrial and Applied Mathematics, 2013.Description: xxiii, 424 p. : illustrations ; 26 cmISBN:
  • 9781611972498 (pbk.)
Subject(s): DDC classification:
  • 570.113 23 Se454
Contents:
1. Introduction -- 2. Introduction to biochemical kinetics -- 3. Review of linear differential equations -- 4. Introduction to nondimensionalization and scaling -- 5. Qualitative behavior of simple differential equation models -- 6. Developing a model from the ground up: Case study of the spread of an infection -- 7. Phase plane analysis -- 8. Quasi steady state and enzyme-mediated biochemical kinetics -- 9. Multiple subunit enzymes and proteins: Cooperativity -- 10. Dynamic behavior of neuronal membranes -- 11. Excitable systems and the FitzHugh-Nagumo equations -- 12. Biochemical modules -- 13. Discrete networks of genes and cells -- 14. For further study -- 15. Extended exercises and projects-- Appendix-- Bibliography-- Index.
Summary: This book introduces differential equations, biological applications, and simulations and emphasizes molecular events (biochemistry and enzyme kinetics), excitable systems (neural signals), and small protein and genetic circuits. A Primer on Mathematical Models in Biology will appeal to readers because it: grew out of a course that the popular and highly respected applied mathematician Lee Segel taught at the Weizmann Institute and it represents his unique perspective ; combines clear and useful mathematical methods with applications that illustrate the power of such tools ; includes many exercises in reasoning, modeling, and simulations.
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Includes bibliographical references and index.

1. Introduction --
2. Introduction to biochemical kinetics --
3. Review of linear differential equations --
4. Introduction to nondimensionalization and scaling --
5. Qualitative behavior of simple differential equation models --
6. Developing a model from the ground up: Case study of the spread of an infection --
7. Phase plane analysis --
8. Quasi steady state and enzyme-mediated biochemical kinetics --
9. Multiple subunit enzymes and proteins: Cooperativity --
10. Dynamic behavior of neuronal membranes --
11. Excitable systems and the FitzHugh-Nagumo equations --
12. Biochemical modules --
13. Discrete networks of genes and cells --
14. For further study --
15. Extended exercises and projects--
Appendix--
Bibliography--
Index.

This book introduces differential equations, biological applications, and simulations and emphasizes molecular events (biochemistry and enzyme kinetics), excitable systems (neural signals), and small protein and genetic circuits. A Primer on Mathematical Models in Biology will appeal to readers because it: grew out of a course that the popular and highly respected applied mathematician Lee Segel taught at the Weizmann Institute and it represents his unique perspective ; combines clear and useful mathematical methods with applications that illustrate the power of such tools ; includes many exercises in reasoning, modeling, and simulations.

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