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Evers, Dirk J.: RNA folding via algebraic dynamic programming. 2003
Inhalt
Motivation and Overview
Problem Statement
Related Work
Summary of Results
Structure of the Thesis
Future Research
Acknowledgments
Conventions & Definitions
Typographic Conventions
Basic Definitions & Notations
Programming Languages
Concepts & Models in Biology & Biochemistry
Introduction
RNA Functions
RNA Structure Formation
RNA Structure Determination
RNA Secondary Structure Representation
Nearest Neighbor Model & Thermodynamics
Molecular Forces
Free Energy
The Nearest Neighbor Model
Structural Representations
Data Representations
Secondary Structure Validation
Graphical Representations
Energy Yield
Algebraic Dynamic Programming
Dynamic Programming
The Role of DP in Bioinformatics
DP Application Principles
An Example: Base Pair Maximization
Understanding DP Recurrences
Separation of Concerns
Search Space
Conclusion
Algebras
Term Algebras
Evaluation Algebras
Conclusion
Grammars & Languages
Tree Grammars
Yield Grammars
DP Search Space
Blackboard Notation
Conclusion
Combinator Parsing
Parsers
Combinators
Filters
Memoization
Recurrence Derivation
Comparison of Recurrences
Ambiguity (Zuker's Algorithm)
Zukers Description
Zukers Algorithm in ADP
Ambiguity
Types of Ambiguity
Avoidance Measures
Efficiency
Canonicity (Wuchty's Algorithm)
Wuchtys Algorithm in ADP
Comparison to Zuker's Algorithm
Decomposition (Lyngsø's Algorithm)
Introduction
Possible Decompositions
Analysis of the Evaluation Function
Invariant Formulation
Lyngsø's Algorithm in ADP
Conclusion
Refining the Multiple Loop Energy Model
Introduction
The Modelling Choice
The Dangling-Ends Algorithm in ADP
Conclusion
Reducing the Conformation Space by Structural Constraints
Introduction
Lonely Pairs
The 'No Lonely Pairs' Algorithm in ADP
Saturated Structures
Discussion
Attribute Combinators
Bottom-Up Attributes
Bottom-Up Attribute Example
Top-Down Attribute Example
Top-Down Attribute Combinators
Saturated Structures in ADP
Discussion
Local Minima
Functions
Energy Functions
Stacking Region Energies
Stacking Energies
Hairpin Loop Energies
Entropic Term
Tetraloop Bonus Energies
Mismatch Stacking Energies
Entropic Term
Bulge Loop Energies
Entropic Term
Mismatch Stacking Energies
Lyngsø's decomposition
Multiple Loop Energies
Affine Costs
Dangling End Energies
Combinator Parsing with Attributes
Top-Down Attribute Combinators
Bottom-Up Attributes
2D Graphics Functions
Circle Plot
Mountain Plot
Polygon Plot
Examples
Utilities
Bibliography