Mathematical Concepts and Methods in Modern Biology

Mathematical Concepts and Methods in Modern Biology : Using Modern Discrete Models

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Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.

Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software.
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Product details

  • Hardback | 372 pages
  • 187.96 x 238.76 x 22.86mm | 748.42g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0124157807
  • 9780124157804
  • 2,132,200

Table of 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
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Review quote

"Contributors in biology, in mathematics, and in bioinformatics introduce undergraduate students and their instructors to more applications of discrete mathematics to biology than can be found in standard textbooks. The goal is not to be comprehensive, but to open the door to more advanced and specialized resources."--Reference and Research Book News, August 2013
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About Terrell Hodge

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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