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Combinatorial Computational Biology of RNA

Pseudoknots and Neutral Networks

  • Christian┬áReidys

Table of contents

  1. Front Matter
    Pages i-ix
  2. Christian Reidys
    Pages 1-21
  3. Christian Reidys
    Pages 23-65
  4. Christian Reidys
    Pages 67-83
  5. Christian Reidys
    Pages 85-142
  6. Christian Reidys
    Pages 143-186
  7. Christian Reidys
    Pages 187-212
  8. Christian Reidys
    Pages 213-243
  9. Back Matter
    Pages 245-257

About this book

Introduction

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 including their generating function, uniform generation as well as central and discrete limit theorems * computational biology of pseudo-knotted RNA structures, including dynamic programming paradigms and a new folding algorithm * analysis of neutral networks of pseudoknotted RNA structures and their random graph theory, including neutral paths, giant components and connectivity All algorithms presented in the book are implemented in C and are freely available through a link on springer.com. A proofs section at the end contains the necessary technicalities. This book will serve graduate students and researchers in the fields of discrete mathematics, mathematical and computational biology. It is suitable as a textbook for a graduate course in mathematical and computational biology.

Keywords

computational biology discrete mathematics mathematical biology pseudo knots

Authors and affiliations

  • Christian┬áReidys
    • 1
  1. 1.Research Center for, CombinatoricsNankai UniversityTianjinChina, People's Republic

Bibliographic information