An Invitation to Biomathematics

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Academic Press, Aug 28, 2007 - Mathematics - 480 pages
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Essential for all biology and biomathematics courses, this textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. An Invitation to Biomathematics, expertly written by a team of experienced educators, offers students a solid understanding of solving biological problems with mathematical applications. This text succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on laboratory projects with emphasis on model development, model validation, and model refinement.

The supplementary work, Laboratory Manual of Biomathematics is available separately ISBN 0123740223, or as a set ISBN: 0123740290)

* Provides a complete guide for development of quantification skills crucial for applying mathematical methods to biological problems
* Includes well-known examples from across disciplines in the life sciences including modern biomedical research
* Explains how to use data sets or dynamical processes to build mathematical models
* Offers extensive illustrative materials
* Written in clear and easy-to-follow language without assuming a background in math or biology
* A laboratory manual is available for hands-on, computer-assisted projects based on material covered in the text
 

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Contents

Processes that Change with Time Introduction to Dynamical Systems
1
Complex Dynamics Emerging from Interacting Dynamical Systems
53
Mathematics in Genetics
99
Quantitative Genetics and Statistics
129
Risk Analysis of Blood Glucose Data
151
Predicting Septicemia in Neonates
181
Cooperative Binding How Your Blood Transports Oxygen
211
Ligand Binding Data Fitting and LeastSquares Estimates of Model Parameters
233
Endocrinology and Hormone Pulsatility
267
Endocrine Network Modeling Feedback Loops and Hormone Oscillations
301
Detecting Rhythms in Confounded Data
341
Using Microarrays to Study Gene Expression Patterns
389
Solutions
419
Index
447
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About the author (2007)

Raina Robeva was born in Sofia, Bulgaria. She has a PhD in Mathematics from the University of Virginia and has led multiple NSF-funded curriculum development projects at the interface of mathematics and biology. She is the lead author of the textbook An Invitation to Biomathematics (2008) and the lead editor of the volume Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models (2013), both published by Academic Press. Robeva is the founding Chief Editor of the research journal Frontiers in Systems Biology. She is a professor of Mathematical Sciences at Sweet Briar College and lives in Charlottesville, Virginia.

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