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Related Concept Videos

Structure of Benzene: Kekulé Model01:07

Structure of Benzene: Kekulé Model

In 1865, August Kekule suggested the structure of benzene according to the structural theory of organic chemistry based on the three assertions—formula of benzene is C6H6, all the hydrogens of benzene are equivalent, and each carbon must have four bonds due to its tetravalency.
He proposed that benzene has a cyclic structure of six carbon atoms attached to one hydrogen atom each, with three alternating pi bonds.
Structures of Solids02:22

Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
Structure of Benzene: Molecular Orbital Model01:18

Structure of Benzene: Molecular Orbital Model

According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm).
Prochirality02:05

Prochirality

The concept of prochirality leads to the nomenclature of the individual faces of a molecule and plays a crucial role in the enantioselective reaction. It is a concept where two or more achiral molecules react to produce chiral products. A typical process is the reaction of an achiral ketone to generate a chiral alcohol. Here, the achiral reactant reacts with an achiral reducing agent, sodium borohydride, to generate an equimolar mixture of the chiral enantiomers of the product. For example, an...
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied first.
Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...

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Related Experiment Video

Updated: Jun 2, 2026

Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations
08:03

Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations

Published on: December 7, 2021

BARTMAP: a viable structure for biclustering.

Rui Xu1, Donald C Wunsch Ii

  • 1GE Global Research, Niskayuna, NY 12309, USA. rxu@ieee.org

Neural Networks : the Official Journal of the International Neural Network Society
|April 16, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces Biclustering ARTMAP (BARTMAP), an efficient neural-based algorithm for biclustering gene expression data. BARTMAP improves clustering quality for cancer research compared to existing methods.

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Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
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Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

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Last Updated: Jun 2, 2026

Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations
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Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
12:27

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

Area of Science:

  • Bioinformatics
  • Computational Biology
  • Genomics

Background:

  • Clustering is vital for analyzing messenger RNA (mRNA) and microRNA expression profiles in high-throughput studies.
  • Traditional clustering faces limitations with uncorrelated genes or unrelated samples, hindering accurate analysis.
  • Biclustering addresses these issues by simultaneously clustering genes and samples, integrating feature selection.

Purpose of the Study:

  • To propose and demonstrate an efficient biclustering algorithm using a neural-based classifier.
  • To address the computational complexity challenges in identifying local relations in gene expression data.
  • To enhance the quality and efficiency of clustering for cancer diagnosis and gene function identification.

Main Methods:

  • Modification of the ARTMAP neural-based classifier to perform biclustering.
  • Development of the Biclustering ARTMAP (BARTMAP) algorithm.
  • Experimental validation on multiple human cancer datasets.

Main Results:

  • BARTMAP achieves higher quality clustering structures compared to common biclustering and clustering algorithms.
  • The algorithm demonstrates fast run times, making it computationally efficient.
  • Successful application on human cancer datasets highlights its practical utility.

Conclusions:

  • BARTMAP offers an effective and efficient solution for biclustering gene expression data.
  • The algorithm shows significant potential for advancing cancer research, gene function identification, and regulatory network inference.
  • Neural-based approaches can overcome computational challenges in complex biological data analysis.