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Updated: May 27, 2025
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Using Informational Connectivity to Measure the Synchronous Emergence of fMRI Multi-voxel Information Across Time
Published on: July 1, 2014
12.2K
Labelled histories with multifurcation and simultaneity.
Emily H Dickey1, Noah A Rosenberg1
1Department of Biology, Stanford University, Stanford, CA 94305, USA.
Summary
This study generalizes labeled histories for phylogenetic trees from bifurcating to multifurcating models. It provides new mathematical tools for analyzing evolutionary branching patterns in more complex tree structures.
Area of Science:
- Mathematical Biology
- Evolutionary Biology
- Computational Phylogenetics
Background:
- Phylogenetic trees model evolutionary history.
- Labeled histories track branching events in bifurcating trees.
- Generalizing these concepts to multifurcating trees is an open challenge.
Purpose of the Study:
- To generalize the concept and enumeration of labeled histories to multifurcating phylogenetic trees.
- To formulate a conjecture regarding multifurcating tree shapes with the most labeled histories.
- To extend the analysis of evolutionary branching patterns to more complex tree structures.
Main Methods:
- Generalizing the definition of labeled histories for k-furcating trees.
- Developing combinatorial methods for enumerating labeled histories.
- Formulating and analyzing conjectures for specific tree shapes.
Main Results:
- Established a method for enumerating labeled histories in k-furcating trees.
- Presented a conjecture on the optimal tree shapes maximizing labeled histories.
- Extended labeled history enumeration to scenarios with simultaneous branchings.
Conclusions:
- The study provides a generalized mathematical framework for analyzing multifurcating phylogenetic trees.
- These findings advance mathematical modeling in evolutionary biology.
- The work opens new avenues for studying complex evolutionary histories.
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