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Related Experiment Video

Updated: Jul 3, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Hadamard conjugation for the Kimura 3ST model: combinatorial proof using path sets.

Michael D Hendy¹, Sagi Snir

¹Allan Wilson Centre for Molecular Ecology and Evolution, Massey University, Private Bag 11222, Palmerston North 4410, New Zealand. m.hendy@massey.ac.nz

IEEE/ACM Transactions on Computational Biology and Bioinformatics

|August 2, 2008

Summary

This summary is machine-generated.

This study provides a direct combinatorial proof for probabilities in molecular sequence evolution under the Kimura

Related Experiment Videos

Last Updated: Jul 3, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Computational Biology
Evolutionary Biology
Mathematical Biology

Background:

Stochastic models define probabilities for molecular sequence evolution patterns.
The Kimura's three-substitution-types (K3ST) model offers analytical expressions for these probabilities.

Purpose of the Study:

To provide a direct combinatorial proof for K3ST model probabilities.
To generalize pairwise sequence distances using pathset distances.

Main Methods:

Utilizing pathset distances to generalize pairwise distances between sequences.
Applying combinatorial methods for a direct proof of K3ST model results.

Main Results:

A direct combinatorial proof for the probabilities of character patterns under the K3ST model was established.
Pathset distances were shown to generalize pairwise distances.

Conclusions:

The combinatorial interpretation offers new tools for analyzing molecular sequence evolution.
This approach is valuable for mathematical analysis in evolutionary biology.