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VDJ-Seq: Deep Sequencing Analysis of Rearranged Immunoglobulin Heavy Chain Gene to Reveal Clonal Evolution Patterns of B Cell Lymphoma
Published on: December 28, 2015
A Path-Deformation Framework for Determining Weighted Genome Rearrangement Distance.
Sangeeta Bhatia1, Attila Egri-Nagy1, Stuart Serdoz1
1Centre for Research in Mathematics and Data Science, Western Sydney University, Sydney, NSW, Australia.
This study introduces a new group theory method to calculate bacterial genome rearrangement distances, considering weighted inversions. It generalizes previous methods by using rewriting systems and the Knuth-Bendix algorithm for optimal distance calculation.
Area of Science:
- Computational Biology
- Genomics
- Bioinformatics
Background:
- Traditional genome distance calculations often assume equal inversion probabilities.
- Existing group theory approaches are limited to very short inversions.
Purpose of the Study:
- To generalize genome rearrangement distance calculations using group theory for any weighting on inversions.
- To introduce rewriting systems and the Knuth-Bendix algorithm to genome rearrangement problems.
Main Methods:
- Utilizing group theory and rewriting systems for group theory.
- Applying the Knuth-Bendix algorithm to generate a confluent system of rewriting rules.
- Deforming initial genome paths to optimality using the generated rules.
Main Results:
- Established a generalized framework for calculating weighted inversion distances between bacterial genomes.
- Successfully applied the Knuth-Bendix algorithm to genome rearrangement for the first time.
- Demonstrated a method to deform initial genome paths to find minimal distances.
Conclusions:
- The developed group-theoretic approach provides a more flexible and generalized method for measuring genome rearrangement distances.
- The integration of rewriting systems and the Knuth-Bendix algorithm offers a novel computational tool for comparative genomics.
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