An Invitation to Biomathematics

ISBN-13: 9780120887712 / Angielski / Twarda / 2007 / 453 str.

Robin Lee Davies; James R. Kirkwood; Leon Farhy

Opis

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

Recenzje

"I was impressed with the excellent job done by the authors.particularly, how the biology is explained first and then the math necessary to solve the problem is developed.” --Phil Ryan, Truman State University

"I would strongly recommend publication. This book will show young biologists how their existing mathematical skills can be put to powerful use in modern biology.” --Martin Steward, University of Manchester

Spis treści

1. Processes that Change with Time: Introduction to Dynamical Systems / 2. Complex Dynamics Emerging from Interacting Dynamical Systems / 3. Mathematics in Genetics / 4. Quantitative Genetics and Statistics / 5. Risk Analysis of Blood Glucose Data / 6. Predicting Septicemia in Neonates / 7. Cooperative Binding: How Your Blood Transports Oxygen / 8. Ligand Binding, Data Fitting, and Least-Squares Estimates of Model Parameters / 9. Endocrinology and Hormone Pulsatility / 10. Endocrine Network Modeling: Feedback Loops and Hormone Oscillations / 11. Detecting Rhythms in Confounded Data / 12. Using Microarrays to Study Gene Expression Patterns

O autorze

Raina Robeva was born in Sofia, Bulgaria. She holds a PhD in Mathematics from the University of Virginia and has broad research interests spanning theoretical mathematics, applied probability, and systems biology. Robeva is the founding Chief Editor of the journal Frontiers in Systems Biology and the lead author/editor of the books An Invitation to Biomathematics (2008), Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models (2013), and Algebraic and Discrete Mathematical Methods for Modern Biology (2015), all published by Academic Press. She is Professor of Mathematical Sciences and Director of the Center for Science and Technology in Society at Sweet Briar College. Dr. Boris Kovatchev is Professor at the University of Virginia School of Medicine and School of Engineering, and founding director of the Center for Diabetes Technology. He has a 30-year track record in mathematical modeling, biosimulation, and algorithm development. Currently, he is Principal Investigator of several projects dedicated to Diabetes Data Science and the development of artificial pancreas and decision support systems, including the large-scale NIH International Diabetes Closed-Loop Trial and the UVA Strategic Investment Fund project "Precision Individualized Medicine for Diabetes”. Dr. Kovatchev is author of over 200 peer-reviewed publications and holds 85 patents.