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Related Concept Videos

RNA Structure01:23

RNA Structure

Overview
The basic structure of RNA consists of a five-carbon sugar and one of four nitrogenous bases. Although most RNA is single-stranded, it can form complex secondary and tertiary structures. Such structures play essential roles in the regulation of transcription and translation.
Different Types of RNA Have the Same Basic Structure
There are three main types of ribonucleic acid (RNA): messenger RNA (mRNA), transfer RNA (tRNA), and ribosomal RNA (rRNA). All three RNA types consist of a...
RNA Structure01:19

RNA Structure

The basic structure of RNA consists of a string of ribonucleotides attached by phosphodiester bonds. Although most RNA is single-stranded, it can form complex secondary and tertiary structures. Such structures play essential roles in the regulation of transcription and translation.
Different Types of RNA Have the Same Basic Structure
There are three main types of ribonucleic acid (RNA) involved in protein synthesis: messenger RNA (mRNA), transfer RNA (tRNA), and ribosomal RNA (rRNA). All three...
RNA Structure01:23

RNA Structure

Overview
The basic structure of RNA consists of a five-carbon sugar and one of four nitrogenous bases. Although most RNA is single-stranded, it can form complex secondary and tertiary structures. Such structures play essential roles in the regulation of transcription and translation.
Different Types of RNA Have the Same Basic Structure
There are three main types of ribonucleic acid (RNA): messenger RNA (mRNA), transfer RNA (tRNA), and ribosomal RNA (rRNA). All three RNA types consist of a...
Nucleic Acid Structure01:25

Nucleic Acid Structure

The pentose sugar in DNA is deoxyribose, while in RNA the pentose sugar is ribose. The difference between the sugars is the presence of the hydroxyl group on the ribose's second carbon and a hydrogen on the deoxyribose's second carbon. The phosphate residue attaches to the hydroxyl group of the 5′ carbon of one sugar and the hydroxyl group of the 3′ carbon of the sugar of the next nucleotide, which forms  a 5′ to 3′ phosphodiester linkage.
DNA Structure
DNA has a double-helix structure. The...
Ribosomal RNA Synthesis02:53

Ribosomal RNA Synthesis

Ribosome synthesis is a highly complex and coordinated process involving more than 200 assembly factors. The synthesis and processing of ribosomal components occurs not only in the nucleolus but also in the nucleoplasm and the cytoplasm of eukaryotic cells.
Ribosome biogenesis begins with the synthesis of 5S and 45S pre-rRNAs by distinct RNA polymerases. The primary transcripts are extensively processed and modified before they are bound and folded by ribosomal proteins and assembly factors,...
Eukaryotic RNA Polymerases00:58

Eukaryotic RNA Polymerases

RNA Polymerase (RNAP) is conserved in all animals, with bacterial, archaeal, and eukaryotic RNAPs sharing significant sequence, structural, and functional similarities. Among the three eukaryotic RNAPs, RNA Polymerase II is most similar to bacterial RNAP in terms of both structural organization and folding topologies of the enzyme subunits. However, these similarities are not reflected in their mechanism of action.
All three eukaryotic RNAPs require specific transcription factors, of which the...

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Related Experiment Video

Updated: Jun 28, 2026

RNA Secondary Structure Prediction Using High-throughput SHAPE
13:42

RNA Secondary Structure Prediction Using High-throughput SHAPE

Published on: May 31, 2013

Pseudoknot RNA structures with arc-length > or =4.

Hillary S W Han1, Christian M Reidys

  • 1Center for Combinatorics, Nankai University, Tianjin, PR China.

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|November 1, 2008
PubMed
Summary
This summary is machine-generated.

This study analyzes k-noncrossing RNA structures with minimum arc-length 4. Researchers derived a functional equation for their generating function and established asymptotic formulas for RNA structure counts.

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Nanomanipulation of Single RNA Molecules by Optical Tweezers
06:59

Nanomanipulation of Single RNA Molecules by Optical Tweezers

Published on: August 20, 2014

Related Experiment Videos

Last Updated: Jun 28, 2026

RNA Secondary Structure Prediction Using High-throughput SHAPE
13:42

RNA Secondary Structure Prediction Using High-throughput SHAPE

Published on: May 31, 2013

Nanomanipulation of Single RNA Molecules by Optical Tweezers
06:59

Nanomanipulation of Single RNA Molecules by Optical Tweezers

Published on: August 20, 2014

Area of Science:

  • Computational Biology
  • RNA Structure Analysis
  • Combinatorics

Background:

  • RNA molecules play crucial roles in biological processes.
  • Understanding RNA secondary structures is vital for predicting their function.
  • Noncrossing RNA structures provide a simplified yet informative model.

Purpose of the Study:

  • To analyze k-noncrossing RNA structures with a minimum arc-length of 4.
  • To derive a functional equation for the generating function of these structures.
  • To establish asymptotic formulas for the number of such RNA structures.

Main Methods:

  • Utilizing generating functions to represent RNA structures.
  • Applying combinatorial techniques to derive functional equations.
  • Employing asymptotic analysis to approximate the number of structures.

Main Results:

  • A functional equation for the generating function T(k)([4])(n) was proven.
  • Asymptotic formulas for T(k)([4])(n) were derived for 4 <= k <= 9.
  • Exponential growth rates and explicit asymptotic formulas were computed for k in the range 4 to 9.

Conclusions:

  • The study provides a mathematical framework for analyzing complex RNA structures.
  • The derived formulas enable estimation of RNA structure counts for specific parameters.
  • This research contributes to the understanding of RNA folding and its implications.