A Primer on Mathematical Models in Biology
Will be published approx. on 30. March 2013
Book
Paperback/Softback
447 pages
978-1-61197-249-8 (ISBN)
Description
This textbook grew out of a course that the highly respected applied mathematician Lee Segel taught at the Weizmann Institute. This book represents the unique perspective on mathematical biology of Segel and his co-author Leah Edelstein-Keshet (author of the popular SIAM book, Mathematical Models in Biology). It introduces differential equations, biological applications, and simulations, with emphasis on molecular events (biochemistry and enzyme kinetics), excitable systems (neural signals), and small protein and genetic circuits. The exposition combines clear and useful mathematical methods with plenty of applications to illustrate the power of such tools, along with many exercises in reasoning, modelling and simulation. The reader will also find suggestions for further study and appendices containing useful background material. These features make the book ideal for students at the advanced undergraduate or graduate level in both biology and mathematics who wish to experience the application of mathematical techniques to the biological sciences.
More details
Language
English
Place of publication
New York
United States
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 256 mm
Width: 177 mm
Thickness: 25 mm
Weight
799 gr
ISBN-13
978-1-61197-249-8 (9781611972498)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Lee A. Segel (1932-2005) was a Professor at the Weizmann Institute of Science, Rehovot, Israel, where he served as Chairman of Applied Mathematics, Dean of Mathematical Sciences and Chairman of the Scientific Council. He was an Ulam Scholar at the Los Alamos National Laboratory, a Fellow of the American Association for the Advancement of Science and a member of the Santa Fe Institute, where he continued his work on complex adaptive systems. He served as editor or editorial board member of six journals.
Leah Edelstein-Keshet is a Professor in the Department of Mathematics at the University of British Columbia, Vancouver, Canada. Her book Mathematical Models in Biology was republished in SIAM's Classics in Applied Mathematics series.
Leah Edelstein-Keshet is a Professor in the Department of Mathematics at the University of British Columbia, Vancouver, Canada. Her book Mathematical Models in Biology was republished in SIAM's Classics in Applied Mathematics series.
Content
Chapter 1: Introduction
Chapter 2: Introduction to Biochemical Kinetics
Chapter 3: Review of Linear Differential Equations
Chapter 4: Introduction to Nondimensionalization and Scaling
Chapter 5: Qualitative Behavior of Simple Differential Equation Models
Chapter 6: Developing a Model from the Ground Up: Case Study of the Spread of an Infection
Chapter 7: Phase plane Analysis
Chapter 8: Quasi Steady State and Enzyme-Mediated Biochemical Kinetics
Chapter 9: Multiple Subunit Enzymes and Proteins: Cooperativity
Chapter 10: Dynamic Behavior of Neuronal Membranes
Chapter 11: Excitable Systems and the FitzHughaEUR"Nagumo Equations
Chapter 12: Biochemical Modules
Chapter 13: Discrete Networks of Genes and Cells
Chapter 14: For Further Study
Chapter 15: Extended Exercises and Projects
Appendix A: The Taylor Approximation and Taylor Series
Appendix B: Complex Numbers
Appendix C: A Review of Basic Theory of Electricity
Appendix D: Proofs of Boolean Algebra Rules
Appendix E: XPP Files for Models in this Book
Chapter 2: Introduction to Biochemical Kinetics
Chapter 3: Review of Linear Differential Equations
Chapter 4: Introduction to Nondimensionalization and Scaling
Chapter 5: Qualitative Behavior of Simple Differential Equation Models
Chapter 6: Developing a Model from the Ground Up: Case Study of the Spread of an Infection
Chapter 7: Phase plane Analysis
Chapter 8: Quasi Steady State and Enzyme-Mediated Biochemical Kinetics
Chapter 9: Multiple Subunit Enzymes and Proteins: Cooperativity
Chapter 10: Dynamic Behavior of Neuronal Membranes
Chapter 11: Excitable Systems and the FitzHughaEUR"Nagumo Equations
Chapter 12: Biochemical Modules
Chapter 13: Discrete Networks of Genes and Cells
Chapter 14: For Further Study
Chapter 15: Extended Exercises and Projects
Appendix A: The Taylor Approximation and Taylor Series
Appendix B: Complex Numbers
Appendix C: A Review of Basic Theory of Electricity
Appendix D: Proofs of Boolean Algebra Rules
Appendix E: XPP Files for Models in this Book