| Title |
The Rainbow Spectrum of RNA Secondary Structures
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, March 2018
|
| DOI | 10.1007/s11538-018-0411-9 |
| Pubmed ID | |
| Authors |
Thomas J. X. Li, Christian M. Reidys |
| Abstract |
In this paper, we analyze the length spectrum of rainbows in RNA secondary structures. A rainbow in a secondary structure is a maximal arc with respect to the partial order induced by nesting. We show that there is a significant gap in this length spectrum. We shall prove that there asymptotically almost surely exists a unique longest rainbow of length at least [Formula: see text] and that with high probability any other rainbow has finite length. We show that the distribution of the length of the longest rainbow converges to a discrete limit law and that, for finite k, the distribution of rainbows of length k becomes for large n a negative binomial distribution. We then put the results of this paper into context, comparing the analytical results with those observed in RNA minimum free energy structures, biological RNA structures and relate our findings to the sparsification of folding algorithms. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 2 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Scientists | 1 | 50% |
| Members of the public | 1 | 50% |
Mendeley readers
The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 3 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 1 | 33% |
| Professor > Associate Professor | 1 | 33% |
| Student > Master | 1 | 33% |
| Readers by discipline | Count | As % |
|---|---|---|
| Computer Science | 2 | 67% |
| Physics and Astronomy | 1 | 33% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 20 June 2018.
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#15,536,861
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Outputs from Bulletin of Mathematical Biology
#727
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Outputs of similar age from Bulletin of Mathematical Biology
#18
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