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Identifying Robust Subclonal Structures through Tumor Progression Tree Alignment
Jacob Gilbert1, Chih Hao Wu2, Marina Knittel3
1Department of Computer Science, University of Maryland, College Park, MD, USA.
Biorxiv : the Preprint Server for Biology
|April 29, 2026
Summary
Comparing tumor evolution is key in cancer genomics. We developed an algorithm for optimal multi-label tree alignment (omlta) to compare clonal trees by minimizing removed mutations, aiding cancer research.
Area of Science:
- Computational Biology
- Cancer Genomics
- Evolutionary Biology
Background:
- Understanding tumor evolutionary histories is crucial for cancer genomics.
- Clonal trees model tumor progression using rooted, unordered trees where nodes represent subclones labeled by mutations.
Purpose of the Study:
- To introduce and computationally solve the optimal multi-label tree alignment (omlta) problem for comparing clonal trees.
- To develop the first computational tool for optimal clonal tree alignment.
Main Methods:
- Introduced omlta, an algorithm to find the minimum number of mutation labels to remove for clonal tree isomorphism.
- Developed an algorithm with a running time of O(L^k), where L is the total number of mutation labels and k is the minimum number of labels to remove.
- Implemented the algorithm as a computational tool available at https://github.com/algo-cancer/omlta.
Main Results:
- Presented an algorithm to compute the optimal multi-label tree alignment (omlta).
- The implemented tool is the first to compute optimal alignments between clonal trees.
- Applied omlta to analyze 126 non-small cell lung cancer cases from the TRACERx study and melanoma single-cell data.
Conclusions:
- The developed omlta algorithm and tool enable optimal comparison of tumor evolutionary histories.
- This method advances the field of cancer genomics by providing a robust way to compare clonal trees.
- The application to real-world cancer data demonstrates the utility of omlta in understanding tumor evolution.
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