Algebraic and Discrete Mathematical Methods for Modern Biology

Buch | Hardcover

382 Seiten

2015
Academic Press Inc (Verlag)
978-0-12-801213-0 (ISBN)

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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.

Raina Robeva was born in Sofia, Bulgaria. She holds a PhD in Mathematics from the University of Virginia and has broad research interests spanning theoretical mathematics, applied probability, and systems biology. Robeva is the founding Chief Editor of the journal Frontiers in Systems Biology and the lead author/editor of the books An Invitation to Biomathematics (2008), Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models (2013), and Algebraic and Discrete Mathematical Methods for Modern Biology (2015), all published by Academic Press. She is Professor of Mathematical Sciences and Director of the Center for Science and Technology in Society at Sweet Briar College.

Preface 1. Graph Theory for Systems Biology: Interval Graphs, Motifs, and Pattern Recognition John R. Jungck and Rama Viswanathan 2. Food Webs and Graphs Margaret Midge Cozzens 3. Adaptation and Fitness Graphs Kristina Crona and Emilie Wiesner 4. Signaling Networks: Asynchronous Boolean Models Réka Albert and Raina Robeva 5. Dynamics of Complex Boolean Networks: Canalization, Stability, and Criticality Qijun He, Matthew Macauley and Robin Davies 6. Steady State Analysis of Boolean Models: A Dimension Reduction Approach Alan Veliz-Cuba and David Murrugarra 7. BioModel Engineering with Petri Nets Mary Ann Blätke, Monika Heiner and Wolfgang Marwan 8. Transmission of Infectious Diseases: Data, Models, and Simulations Winfried Just, Hannah Callender, M. Drew LaMar and Natalia Toporikova 9. Disease Transmission Dynamics on Networks: Network Structure Versus Disease Dynamics Winfried Just, Hannah Callender and M. Drew LaMar 10. Predicting Correlated Responses in Quantitative Traits Under Selection: A Linear Algebra Approach Janet Steven and Bessie Kirkwood 11. Metabolic Analysis: Algebraic and Geometric Methods Terrell L. Hodge, Blair R. Szymczyna and Todd J. Barkman 12. Reconstructing the Phylogeny: Computational Methods Grady Weyenberg and Ruriko Yoshida 13. RNA Secondary Structures: Combinatorial Models and Folding Algorithms Qijun He, Matthew Macauley and Robin Davies 14. RNA Secondary Structures: An Approach Through Pseudoknots and Fatgraphs Christian M. Reidys

Verlagsort	San Diego
Sprache	englisch
Maße	216 x 276 mm
Gewicht	1340 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Biologie
ISBN-10	0-12-801213-7 / 0128012137
ISBN-13	978-0-12-801213-0 / 9780128012130
Zustand	Neuware