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A statistical theory of sequence alignment with gaps

D Drasdo1, T Hwa, M Lässig

  • 1Max-Planck-Institut für Kolloid- und Grenzflächenforschung, Teltow, Germany. drasdo@imise.uni-leipzig.de

Proceedings. International Conference on Intelligent Systems for Molecular Biology
|October 23, 1998
PubMed
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This study presents a statistical theory for local alignment algorithms with gaps. It reveals that sequence correlations cause deviations from scale invariance, which alignment algorithms can detect.

Area of Science:

  • Bioinformatics
  • Computational Biology
  • Statistical Modeling

Background:

  • Local alignment algorithms are crucial for sequence analysis.
  • Understanding the statistical properties of these algorithms, especially with gaps, is essential.
  • Previous theories have not fully captured the behavior of alignment statistics under varying conditions.

Purpose of the Study:

  • To develop a quantitative statistical theory for local alignment algorithms incorporating gaps.
  • To describe the linear and logarithmic phases and the phase transition between them.
  • To investigate the relationship between sequence correlations and alignment statistics.

Main Methods:

  • Development of a statistical theory for local alignment.
  • Quantitative analysis of linear and logarithmic phases and phase transitions.

Related Experiment Videos

  • Mathematical modeling of Markov sequences and their correlation properties.
  • Main Results:

    • Demonstrated scale-invariant alignment statistics for Markov sequences without mutual correlations.
    • Quantified deviations from scale invariance as indicators of detectable mutual correlations.
    • Derived conditions for optimal detection of specific mutual sequence correlations.

    Conclusions:

    • The statistical theory provides a framework for understanding local alignment with gaps.
    • Scale invariance is a key property for sequences lacking correlations.
    • Alignment algorithms can effectively detect sequence correlations by observing deviations from scale invariance.