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Chapter 1 - Graph Theory for Systems Biology: Interval Graphs, Motifs, and Pattern Recognition
John R. Jungck and Rama Viswanathan
Pages 1-27 - Book chapterAbstract only
Chapter 2 - Food Webs and Graphs
Margaret (Midge) Cozzens
Pages 29-49 - Book chapterAbstract only
Chapter 3 - Adaptation and Fitness Graphs
Kristina Crona and Emilie Wiesner
Pages 51-64 - Book chapterAbstract only
Chapter 4 - Signaling Networks: Asynchronous Boolean Models
Réka Albert and Raina Robeva
Pages 65-91 - Book chapterAbstract only
Chapter 5 - Dynamics of Complex Boolean Networks: Canalization, Stability, and Criticality
Qijun He, Matthew Macauley and Robin Davies
Pages 93-119 - Book chapterAbstract only
Chapter 6 - Steady State Analysis of Boolean Models: A Dimension Reduction Approach
Alan Veliz-Cuba and David Murrugarra
Pages 121-139 - Book chapterAbstract only
Chapter 7 - BioModel Engineering with Petri Nets
Mary Ann Blätke, Monika Heiner and Wolfgang Marwan
Pages 141-192 - Book chapterAbstract only
Chapter 8 - Transmission of Infectious Diseases: Data, Models, and Simulations
Winfried Just, Hannah Callender, ... Natalia Toporikova
Pages 193-215 - Book chapterAbstract only
Chapter 9 - Disease Transmission Dynamics on Networks: Network Structure Versus Disease Dynamics
Winfried Just, Hannah Callender and M. Drew LaMar
Pages 217-235 - Book chapterAbstract only
Chapter 10 - Predicting Correlated Responses in Quantitative Traits Under Selection: A Linear Algebra Approach
Janet Steven and Bessie Kirkwood
Pages 237-259 - Book chapterAbstract only
Chapter 11 - Metabolic Analysis: Algebraic and Geometric Methods
Terrell L. Hodge, Blair R. Szymczyna and Todd J. Barkman
Pages 261-292 - Book chapterAbstract only
Chapter 12 - Reconstructing the Phylogeny: Computational Methods
Grady Weyenberg and Ruriko Yoshida
Pages 293-319 - Book chapterAbstract only
Chapter 13 - RNA Secondary Structures: Combinatorial Models and Folding Algorithms
Qijun He, Matthew Macauley and Robin Davies
Pages 321-345 - Book chapterAbstract only
Chapter 14 - RNA Secondary Structures: An Approach Through Pseudoknots and Fatgraphs
Christian M. Reidys
Pages 347-362 - Book chapterNo access
Index
Pages 363-368
About the book
Description
Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution.
Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution.
Key Features
- Examines significant questions in modern biology and their mathematical treatments
- Presents important mathematical concepts and tools in the context of essential biology
- Features material of interest to students in both mathematics and biology
- Presents chapters in modular format so coverage need not follow the Table of Contents
- Introduces projects appropriate for undergraduate research
- Utilizes freely accessible software for visualization, simulation, and analysis in modern biology
- Requires no calculus as a prerequisite
- Provides a complete Solutions Manual
- Features a companion website with supplementary resources
- Examines significant questions in modern biology and their mathematical treatments
- Presents important mathematical concepts and tools in the context of essential biology
- Features material of interest to students in both mathematics and biology
- Presents chapters in modular format so coverage need not follow the Table of Contents
- Introduces projects appropriate for undergraduate research
- Utilizes freely accessible software for visualization, simulation, and analysis in modern biology
- Requires no calculus as a prerequisite
- Provides a complete Solutions Manual
- Features a companion website with supplementary resources
Details
ISBN
978-0-12-801213-0
Language
English
Published
2015
Copyright
Copyright © 2015 Elsevier Inc. All rights reserved.
Imprint
Academic Press