Algebraic and Combinatorial Computational Biology

Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern computational biology. Presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. The work addresses problems from gene regulation, neuroscience, phylogenetics, molecular networks, assembly and folding of biomolecular structures, and the use of clustering methods in biology. A number of these chapters are surveys of new topics that have not been previously compiled into one unified source. These topics were selected because they highlight the use of technique from algebra and combinatorics that are becoming mainstream in the life sciences. Integrates a comprehensive selection of tools from computational biology into educational or research programs Emphasizes practical problem-solving through multiple exercises, projects and spinoff computational simulations Contains scalable material for use in undergraduate and graduate-level classes and research projects Introduces the reader to freely-available professional software Supported by illustrative datasets and adaptable computer code

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  • Author : Raina Robeva
  • Publisher : Academic Press
  • Pages : 434 pages
  • ISBN : 0128140690
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKAlgebraic and Combinatorial Computational Biology

Algebraic and Combinatorial Computational Biology

Algebraic and Combinatorial Computational Biology
  • Author : Raina Robeva,Matthew Macauley
  • Publisher : Academic Press
  • Release : 08 October 2018
GET THIS BOOKAlgebraic and Combinatorial Computational Biology

Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern computational biology. Presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. The work addresses problems from gene regulation, neuroscience, phylogenetics, molecular networks, assembly and folding of biomolecular structures, and the use of clustering methods in biology. A number

Algebraic Combinatorics for Computational Biology

Algebraic Combinatorics for Computational Biology
  • Author : Nicholas Karl Eriksson
  • Publisher : Unknown Publisher
  • Release : 17 April 2021
GET THIS BOOKAlgebraic Combinatorics for Computational Biology

Algebraic statistics is the study of the algebraic varieties that correspond to discrete statistical models. Such statistical models are used throughout computational biology, for example to describe the evolution of DNA sequences. This perspective on statistics allows us to bring mathematical techniques to bear and also provides a source of new problems in mathematics.

Patterns in Permutations and Words

Patterns in Permutations and Words
  • Author : Sergey Kitaev
  • Publisher : Springer Science & Business Media
  • Release : 30 August 2011
GET THIS BOOKPatterns in Permutations and Words

There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev

Algebraic and Discrete Mathematical Methods for Modern Biology

Algebraic and Discrete Mathematical Methods for Modern Biology
  • Author : Raina Robeva
  • Publisher : Academic Press
  • Release : 09 May 2015
GET THIS BOOKAlgebraic and Discrete Mathematical Methods for Modern Biology

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

Combinatorial Computational Biology of RNA

Combinatorial Computational Biology of RNA
  • Author : Christian Reidys
  • Publisher : Springer Science & Business Media
  • Release : 29 October 2010
GET THIS BOOKCombinatorial Computational Biology of RNA

In this monograph, new combinatorial and computational approaches in the study of RNA structures are presented which enhance both mathematics and computational biology. It begins with an introductory chapter, which motivates and sets the background of this research. In the following chapter, all the concepts are systematically developed. The reader will find * integration of more than forty research papers covering topics like, RSK-algorithm, reflection principle, singularity analysis and random graph theory * systematic presentation of the theory of pseudo-knotted RNA structures

Basic Phylogenetic Combinatorics

Basic Phylogenetic Combinatorics
  • Author : Andreas Dress,Katharina T. Huber,Jacobus Koolen
  • Publisher : Cambridge University Press
  • Release : 17 April 2021
GET THIS BOOKBasic Phylogenetic Combinatorics

Phylogenetic combinatorics is a branch of discrete applied mathematics concerned with the combinatorial description and analysis of phylogenetic trees and related mathematical structures such as phylogenetic networks and tight spans. Based on a natural conceptual framework, the book focuses on the interrelationship between the principal options for encoding phylogenetic trees: split systems, quartet systems and metrics. Such encodings provide useful options for analyzing and manipulating phylogenetic trees and networks, and are at the basis of much of phylogenetic data processing.

Computational Discrete Mathematics

Computational Discrete Mathematics
  • Author : Sriram Pemmaraju,Steven Skiena
  • Publisher : Cambridge University Press
  • Release : 15 October 2009
GET THIS BOOKComputational Discrete Mathematics

This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux,

Mathematical Concepts and Methods in Modern Biology

Mathematical Concepts and Methods in Modern Biology
  • Author : Raina Robeva,Terrell Hodge
  • Publisher : Academic Press
  • Release : 26 February 2013
GET THIS BOOKMathematical Concepts and Methods in Modern Biology

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

Analytic Combinatorics

Analytic Combinatorics
  • Author : Philippe Flajolet,Robert Sedgewick
  • Publisher : Cambridge University Press
  • Release : 15 January 2009
GET THIS BOOKAnalytic Combinatorics

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures

Handbook of Finite Fields

Handbook of Finite Fields
  • Author : Gary L. Mullen,Daniel Panario
  • Publisher : CRC Press
  • Release : 17 June 2013
GET THIS BOOKHandbook of Finite Fields

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and

Combinatorics

Combinatorics
  • Author : Theodore G. Faticoni
  • Publisher : John Wiley & Sons
  • Release : 21 August 2014
GET THIS BOOKCombinatorics

Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinking Combinatorics: An Introduction introduces readers to counting combinatorics, offers examples that feature unique approaches and ideas, and presents case-by-case methods for solving problems. Detailing how combinatorial problems arise in many areas of pure mathematics, most notably in algebra, probability theory, topology, and geometry, this book provides discussion on logic and paradoxes; sets and set notations; power sets and their cardinality; Venn diagrams; the multiplication principal;

Algorithms on Strings, Trees and Sequences

Algorithms on Strings, Trees and Sequences
  • Author : Dan Gusfield
  • Publisher : Cambridge University Press
  • Release : 28 May 1997
GET THIS BOOKAlgorithms on Strings, Trees and Sequences

String algorithms are a traditional area of study in computer science. In recent years their importance has grown dramatically with the huge increase of electronically stored text and of molecular sequence data (DNA or protein sequences) produced by various genome projects. This 1997 book is a general text on computer algorithms for string processing. In addition to pure computer science, the book contains extensive discussions on biological problems that are cast as string problems, and on methods developed to solve them.