Combinatorial Computational Biology of RNA
Pseudoknots and Neutral Networks
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This book brings together the author's research in the study of RNA structures, presenting new combinatorics and combinatorial structures which enhance both mathematics and biology. The author produces pseudo knotted structures, providing an alternative approach.
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 pseudo knotted RNA structures and their random graph theory, including neutral paths, giant components and connectivityAll algorithms presented are freely available through springer.com and implemented in C. 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.
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