Cover for Algebraic and Discrete Mathematical Methods for Modern Biology

Algebraic and Discrete Mathematical Methods for Modern Biology

Book2015

Edited by:

Raina S. Robeva

Algebraic and Discrete Mathematical Methods for Modern Biology

Book2015

 

Cover for Algebraic and Discrete Mathematical Methods for Modern Biology

Edited by:

Raina S. Robeva

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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 f ... read full description

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  2. Book chapterAbstract only

    Chapter 1 - Graph Theory for Systems Biology: Interval Graphs, Motifs, and Pattern Recognition

    John R. Jungck and Rama Viswanathan

    Pages 1-27

  3. Book chapterAbstract only

    Chapter 2 - Food Webs and Graphs

    Margaret (Midge) Cozzens

    Pages 29-49

  4. Book chapterAbstract only

    Chapter 3 - Adaptation and Fitness Graphs

    Kristina Crona and Emilie Wiesner

    Pages 51-64

  5. Book chapterAbstract only

    Chapter 4 - Signaling Networks: Asynchronous Boolean Models

    Réka Albert and Raina Robeva

    Pages 65-91

  6. Book chapterAbstract only

    Chapter 5 - Dynamics of Complex Boolean Networks: Canalization, Stability, and Criticality

    Qijun He, Matthew Macauley and Robin Davies

    Pages 93-119

  7. Book chapterAbstract only

    Chapter 6 - Steady State Analysis of Boolean Models: A Dimension Reduction Approach

    Alan Veliz-Cuba and David Murrugarra

    Pages 121-139

  8. Book chapterAbstract only

    Chapter 7 - BioModel Engineering with Petri Nets

    Mary Ann Blätke, Monika Heiner and Wolfgang Marwan

    Pages 141-192

  9. Book chapterAbstract only

    Chapter 8 - Transmission of Infectious Diseases: Data, Models, and Simulations

    Winfried Just, Hannah Callender, ... Natalia Toporikova

    Pages 193-215

  10. 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

  11. 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

  12. Book chapterAbstract only

    Chapter 11 - Metabolic Analysis: Algebraic and Geometric Methods

    Terrell L. Hodge, Blair R. Szymczyna and Todd J. Barkman

    Pages 261-292

  13. Book chapterAbstract only

    Chapter 12 - Reconstructing the Phylogeny: Computational Methods

    Grady Weyenberg and Ruriko Yoshida

    Pages 293-319

  14. Book chapterAbstract only

    Chapter 13 - RNA Secondary Structures: Combinatorial Models and Folding Algorithms

    Qijun He, Matthew Macauley and Robin Davies

    Pages 321-345

  15. Book chapterAbstract only

    Chapter 14 - RNA Secondary Structures: An Approach Through Pseudoknots and Fatgraphs

    Christian M. Reidys

    Pages 347-362

  16. 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

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Editors

Raina S. Robeva

Department of Mathematical Sciences, Sweet Briar College, Sweet Briar, VA, USA