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 : 21 January 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

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

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

A Project-Based Guide to Undergraduate Research in Mathematics

A Project-Based Guide to Undergraduate Research in Mathematics
  • Author : Pamela E. Harris,Erik Insko,Aaron Wootton
  • Publisher : Springer Nature
  • Release : 17 April 2020
GET THIS BOOKA Project-Based Guide to Undergraduate Research in Mathematics

This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. Each chapter gives a self-contained introduction on a research topic with an emphasis on the specific tools and knowledge needed to create and maintain fruitful research programs for undergraduates. Some of the topics discussed include:• Disease modeling• Tropical

Connections Between Algebra, Combinatorics, and Geometry

Connections Between Algebra, Combinatorics, and Geometry
  • Author : Susan M. Cooper,Sean Sather-Wagstaff
  • Publisher : Springer
  • Release : 16 May 2014
GET THIS BOOKConnections Between Algebra, Combinatorics, and Geometry

Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS

Lectures on Algebraic Statistics

Lectures on Algebraic Statistics
  • Author : Mathias Drton,Bernd Sturmfels,Seth Sullivant
  • Publisher : Springer Science & Business Media
  • Release : 25 April 2009
GET THIS BOOKLectures on Algebraic Statistics

How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers

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

Advances in Bioinformatics and Computational Biology

Advances in Bioinformatics and Computational Biology
  • Author : Marcilio C.P. de Souto,Maricel G. Kann
  • Publisher : Springer
  • Release : 10 August 2012
GET THIS BOOKAdvances in Bioinformatics and Computational Biology

This book constitutes the refereed proceedings of the 7th Brazilian Symposium on Bioinformatics, BSB 2012, held in Campo Grande, Brazil, in August 2012. The 16 regular papers presented were carefully reviewed and selected for inclusion in this book. It also contains a joint paper from two of the guest speakers. The Brazilian Symposium on Bioinformatics covers all aspects of bioinformatics and computational biology, including sequence analysis; motifs, and pattern matching; biological databases, data management, data integration, and data mining; biomedical text mining; structural,

Algebraic Biology

Algebraic Biology
  • Author : Hirokazu Anai,Katsuhisa Horimoto
  • Publisher : Springer Science & Business Media
  • Release : 22 June 2007
GET THIS BOOKAlgebraic Biology

This book constitutes the refereed proceedings of the Second International Conference on Algebraic Biology, AB 2007, held at the Castle of Hagenberg, Austria in July 2007 as part of the RISC Summer 2007, organized by the Research Institute for Symbolic Computation. The 19 revised full papers presented together with 3 invited papers and 4 tutorials were carefully reviewed and selected from 40 submissions. The conference is the interdisciplinary forum for the presentation of research on all aspects of applications of symbolic computation (computer algebra, computational logic, and