Written by expert authors in both math and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology. 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 gives readers a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Multiple exercises and projects are embedded in each chapter. Many of the projects and exercises utilize specialized software (such as Mathematica), providing students with much-needed familiarity and experience with computing applications, critical components of the modern biology skill set. Algebraic and Discrete Mathematical Methods for Modern Biology 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. Provides students with many examples and exercises to enhance comprehensionDelivers meaningful applications with real-world context and clarifies principles in mathematics to both math and biology students Presents chapters in modular format so topics taught in class need not follow the Table of Contents Features exercises and projects in each chapter, many utilizing computational tools such as Mathematica to ensure accuracy and more reliable models Uses Boolean networks/graphs, which are more intuitive so students can build models without stumbling over calculus INDICE: Preface 1. Graph Theory for Systems Biology: Interval graphs, motifs, and patterns recognition 2. Food Webs and Graphs 3. Adaptation: Discrete and algebraic approaches 4. Signaling Networks: Asynchronous Boolean models 5. Dymanics Over Complex Boolean Networks: Canalization, stability, and criticality 6. Steady State Analysis of Boolean Models: A dimension reduction approach 7. BioModel Engineering: Using Petri nets 8. Transmission of Infectious Diseases: Data, models, and simulations 9. Disease Transmission Dynamics on Networks: Network structure versus disease dynamics 10. Predicting Correlated Responses in Quantitative Traits Under Selection: A linear algebra approach 11. Metabolome Analysis: Modern algebraic and geometric methods 12. Reconstructing the Phylogeny: Computational methods 13. RNA Secondary Structures: Cominatorial approaches 14. RNA Secondary Structures: An approach through pseudoknots and fatgraphs
- ISBN: 978-0-12-801213-0
- Editorial: Academic Press
- Encuadernacion: Cartoné
- Páginas: 452
- Fecha Publicación: 12/04/2015
- Nº Volúmenes: 1
- Idioma: Inglés