Mathematical Concepts and Methods in Modern Biology
Using Modern Discrete Models
Edited by- Raina Robeva, Sweet Briar College, VA, USA
- Terrell Hodge, Western Michigan University, Kalamazoo, MI, USA
Arising from current scientific publications and on-going investigations by leading researchers this book is an essential resource to anyone needing to better understand the interdisciplinary relationship between mathematics and biology. The book is organized by research topic of interest and introduces mathematical models and methods specifically to that topic. The book lays the groundwork for understanding in simplistic terms how to apply mathematics in the context of contemporary problems in biology in order to solve problems.
Audience
Researchers, educators, and students engaged in Biological Research and Mathematics
Hardbound, 372 Pages
Published: January 2013
Imprint: Academic Press
ISBN: 978-0-12-415780-4
Contents
Preface by Raina Robeva and Terrell Hodge
Chapter 1. Mechanisms for Gene Regulation: A Boolean Network Model of the Lac Operon
Chapter 2. Epigenetic Features of the Lac Operon: Comparing Boolean and Ordinary Differential Equations Models
Chapter 3. Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering
Chapter 4. Global Dynamics Emerging from Local Interactions: Agent-based Modeling for the Life Sciences
Chapter 5. Agent-based Models and Optimal Control in Biology: An Algebraic Approach
Chapter 6. Neuronal Networks: A Discrete Model
Chapter 7. Predicting Plant Population Growth: Modeling with Projection Matrices
Chapter 8. Metabolic Pathways Analysis: A Linear Algebraic Approach
Chapter 9. Identifying CpG Islands: Sliding Windows and Hidden Markov Models
Chapter 10. Codon Usage: From Elementary Probability to Algebraic Geometry
Chapter 11. Phylogenetic Tree Reconstruction: Geometric Approaches
