TY - BOOK AU - Segel,Lee A. AU - Edelstein-Keshet,Leah TI - Primer on mathematical models in biology SN - 9781611972498 (pbk.) U1 - 570.113 23 PY - 2013/// CY - Philadelphia : PB - Society for Industrial and Applied Mathematics, KW - Biology KW - Mathematical models N1 - 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 N2 - 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 ER -