eBook Mathematical Concepts and Methods in Modern Biology, 1st Edition

  • Published By:
  • ISBN-10: 0124157939
  • ISBN-13: 9780124157934
  • DDC: 570.151
  • Grade Level Range: College Freshman - College Senior
  • 372 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013
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About

Overview

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.

Table of Contents

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
Contents.
Contributors.
Preface.
1: Mechanisms of Gene Regulation: Boolean Network Models of the Lactose Operon in Escherichia coli.
2: Bistability in the Lactose Operon of Escherichia coli: A Comparison of Differential Equation and Boolean Network Models.
3: Inferring the Topology of Gene Regulatory Networks: An Algebraic Approach to Reverse Engineering.
4: Global Dynamics Emerging from Local Interactions: Agent-Based Modeling for the Life Sciences.
5: Agent-Based Models and Optimal Control in Biology: A Discrete Approach.
6: Neuronal Networks: A Discrete Model.
7: Predicting Population Growth: Modeling with Projection Matrices.
8: Metabolic Pathways Analysis: A Linear Algebraic Approach.
9: Identifying CpG Islands: Sliding Window and Hidden Markov Model Approaches.
10: Phylogenetic Tree Reconstruction: Geometric Approaches.
Index.