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Statically Indeterminate Problem Solving

Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
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A nonlinear inequality describes a comparison involving an expression that curves or behaves more complexly than a straight line. These inequalities often appear in forms that include squares, products, or variables in the denominator.To solve such an inequality, one starts by rewriting it so that zero appears on one side. For example, the inequality:  can be factored as: This form makes it easier to identify the values that cause the expression to equal zero. In this case, the key values are 3...
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Functional Surface-immobilization of Genes Using Multistep Strand Displacement Lithography
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SLIQ: simple linear inequalities for efficient contig scaffolding.

Rajat S Roy1, Kevin C Chen, Anirvan M Sengupta

  • 1Department of Computer Science, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA. rajatroy@cs.rutgers.edu

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|October 13, 2012
PubMed
Summary

SLIQ, a novel scaffolding method for de novo genome assembly, accurately predicts contig positions and orientations using simple linear inequalities. This approach improves genome assembly accuracy, especially for complex genomes.

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Area of Science:

  • Genomics
  • Bioinformatics
  • Computational Biology

Background:

  • De novo genome assembly requires scaffolding to order and orient contigs.
  • Mate pair data is crucial for bridging gaps between contigs during scaffolding.

Purpose of the Study:

  • To introduce SLIQ, a new method for predicting relative contig positions and orientations.
  • To evaluate SLIQ's performance against existing scaffolding algorithms.

Main Methods:

  • Developed SLIQ based on simple linear inequalities derived from contig geometry.
  • Applied SLIQ to individual mate pair reads to construct a contig digraph.
  • Used SLIQ for filtering unreliable mate pairs and as a preprocessing step.

Main Results:

  • SLIQ accurately predicted contig positions and orientations across diverse real data sets.
  • SLIQ outperformed majority voting, particularly for complex mammalian genomes like the human genome.
  • A simple scaffolding algorithm using the SLIQ digraph achieved high accuracy and efficiency.

Conclusions:

  • SLIQ offers a robust and accurate approach to genome scaffolding.
  • The method enhances de novo genome assembly by improving contig ordering and orientation.
  • SLIQ is efficient and suitable for assembling complex genomes.