This paper revisits the earlier flooding-based landscape methods and adapts them to RNA secondary structures with a local, memory-efficient enumeration strategy.
Published as Memory-efficient RNA energy landscape exploration, Bioinformatics 2014.
This paper revisits the earlier flooding-based landscape methods and adapts them to RNA secondary structures with a local, memory-efficient enumeration strategy.
Published as Memory-efficient RNA energy landscape exploration, Bioinformatics 2014.
This paper is easiest to understand as the RNA-focused continuation of earlier landscape work. Barrier Trees of Degenerate Landscapes introduced a rigorous way to represent basins and saddle points with barrier trees. Exploring the Lower Part of Discrete Polymer Model Energy Landscapes addressed how to explore the low-energy portion of a large landscape efficiently enough to make such representations practical. By 2014, the natural next step was clear: how do we make that style of exact landscape analysis workable for RNA secondary structures without running out of memory?
That is the problem addressed here, where RNA folding dynamics are modeled as motion on a large discrete landscape of secondary structures, with transitions between neighboring states and a macrostate decomposition into basins around local minima. In principle, that landscape contains exactly the information one would want for kinetics. In practice, however, exact exploration becomes difficult very quickly as sequence length increases. The bottleneck is no longer the conceptual framework but the size of the state space and the memory needed to represent it.
The methodological contribution of this paper is a local flooding variant of the earlier global flooding strategy. Instead of trying to hold a much larger explored region in memory all at once, the algorithm constructs exact macrostate transition models in a more localized and memory-efficient way. That sounds like an implementation detail, but it is the sort of implementation detail that determines whether a mathematically elegant method can actually be used on realistic RNA examples.
What makes this paper important is that it preserves exactness at the macrostate level while reducing the computational cost enough to widen the range of tractable systems. The work also compares exact transition models with two barrier-based approximations, showing where coarse approximations can become misleading. In other words, this is a paper about when approximation is acceptable and when a more faithful landscape representation changes the conclusions.
In the broader energy-landscape story, this article closes a loop. The early papers established the language of barrier trees and flooding-style exploration in abstract discrete systems and lattice polymers. This 2014 paper brings those ideas back to RNA in a way that is directly useful for folding kinetics. It shows that the older landscape concepts could be re-engineered into practical infrastructure for RNA analysis a decade later.
The paper does not propose a new conceptual framework. It makes an existing one usable at the scale where real RNA questions live, and in computational biology this kind of engineering step often decides whether an idea stays a concept or becomes a method that is used.
Motivation: Energy landscapes provide a valuable means for studying the folding dynamics of short RNA molecules in detail by modeling all possible structures and their transitions. Higher abstraction levels based on a macro-state decomposition of the landscape enable the study of larger systems; however, they are still restricted by huge memory requirements of exact approaches.
Results: We present a highly parallelizable local enumeration scheme that enables the computation of exact macro-state transition models with highly reduced memory requirements. The approach is evaluated on RNA secondary structure landscapes using a gradient basin definition for macro-states. Furthermore, we demonstrate the need for exact transition models by comparing two barrier-based approaches, and perform a detailed investigation of gradient basins in RNA energy landscapes.
Availability and implementation: Source code is part of the C++ Energy Landscape Library.
Memory-efficient RNA energy landscape exploration
Martin Mann, Marcel Kucharík, Christoph Flamm, Michael T. Wolfinger
Bioinformatics 30(18):2584-2591 (2014) | doi: 10.1093/bioinformatics/btu337 | PDF
This paper builds directly on the original landscape-analysis sequence:
Barrier Trees of Degenerate Landscapes
Christoph Flamm, Ivo L. Hofacker, Peter F. Stadler, Michael T. Wolfinger
Z. Phys. Chem. 216:155-173 (2002) | doi:10.1524/zpch.2002.216.2.155 | Preprint PDFEfficient Computation of RNA Folding Dynamics
Michael T. Wolfinger, W. Andreas Svrcek-Seiler, Christoph Flamm, Ivo L. Hofacker, Peter F. Stadler
J. Phys. A: Math. Gen. 37(17):4731-4741 (2004) | doi:10.1088/0305-4470/37/17/005 | PDFExploring the Lower Part of Discrete Polymer Model Energy Landscapes
Michael T. Wolfinger, Sebastian Will, Ivo L. Hofacker, Rolf Backofen, Peter F. Stadler
Europhys. Lett. 74(4):726-732 (2006) | doi:10.1209/epl/i2005-10577-0 | Preprint PDF