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Janssen, Stefan: Kisses, ambivalent models and more: Contributions to the analysis of RNA secondary structure. 2014
Inhalt
Introduction
Background
Algebraic Dynamic Programming
ADP Formalism
History of ADP implementations
Ambiguity
Lost in folding space?
Background
Motivation
Goals of the evaluation
Methods
Free energy and partition function
Implementing the energy model
Model NoDangle
Model OverDangle
Model MicroState
Model MacroState
Signature and evaluation algebras
Results & Discussion
Data set
Technical Environment
Evaluation of models for MFE structure prediction
Evaluating models for partition function and related computations
Conclusion
Model comparison
Evaluation of further models
A new strategy for level-2 shape probabilities?
A word on longer sequences
Acknowledgments
RapidShapes
Introduction
Computational cost of probabilistic shape analysis
Outline of ideas
A method for faster shape probability computation
Basic problem: Shapes with a least T% probability
Analysis of the folding space partitioned by shape
Heuristic Shape selection
Asymptotics
Evaluation
Evaluation setup
Results on random data
Results on real data
Discussion
Speed-ups and brake-even points achieved
Problem variants
Implementation alternatives
Open problems
Acknowledgments
pKiss
Introduction
Biological relevance of pseudoknots in RNA structure
Folding pseudoknots
Typology of structures
Three strategies for kissing hairpin prediction
The combined power of canonization rules and non-ambiguous dynamic programming
Decomposition alternatives of the kissing hairpin motif
Strategy A – an O(n to the power of 4) time, quadratic space algorithm
Strategy B – an O(n to the power of 4) time, cubic space algorithm
Strategy C – an O(n to the power of 5) time, quadratic space algorithm
Algorithms
Algorithmic subtleties
Pseudoknot-recurrence of pknotsRG – csrPK
Recurrences of Strategy A – csrKH-A
Recurrences of Strategy B – csrKH-B
Recurrences of Strategy C – csrKH-C
Recurrences of Strategy D – csrKH-D
Implementation via Bellman's GAP
Signature
Grammar
Algebras
Evaluation
A piece of anecdotal evidence
Test set ``knot''
Comparing pKiss strategies to other prediction tools
Conclusion
Acknowledgments
Computation of McCaskill base-pair probabilities: an outside algorithm
Traditional algorithmic idea
A general scheme for ADP
Outside-in emulation
McCaskill base-pair probability computation
Extension 1: dangling bases
Extension 2: folding alignments
Evaluation
Correctness check
Comparing model variants
Run-time analysis
Conclusion
Covariance Models
Three contributions to Covariance Models
Faithful CM re-implementation in Bellman's GAP
Upward compilation in Bellman's GAP
Approving faithful re-implementation
Determine Infernal's guide-tree to construct identical state architecture.
Conclusion
Alternative semantics
Trace semantics
Structure semantics
Ambiguity compensation
Evaluation
Conclusion on the new semantics
Two Track Counting
Ambivalent Covariance Models
Evaluation
Conclusion
Bibliography
Appendices
Appendix A: Complete set of all 20 TDM generators.
Common Signature
TDM grammars
TDM algebras
Appendix B: Source code for pKiss pseudoknot non-terminals.