Closed form modeling of evolutionary rates by exponential Brownian functionals

DOI10.1007/s00285-015-0863-6zbMath1354.92054OpenAlexW2147651647WikidataQ46767480 ScholiaQ46767480MaRDI QIDQ893813

Nicolas Privault, Stéphane Guindon

Publication date: 20 November 2015

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-015-0863-6

zbMATH Keywords

phylogeneticsexponential Brownian functionalsevolutionary ratesmolecular clocks

Mathematics Subject Classification ID

Problems related to evolution (92D15) Brownian motion (60J65) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Uses Software

• fastDNAml
• NetNUMPAC

Cites Work

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• Monte Carlo computation of the Laplace transform of exponential Brownian functionals
• Exponential functionals of Brownian motion. I: Probability laws at fixed time
• The coalescent
• Modeling the covarion hypothesis of nucleotide substitution
• The conditioned reconstructed process
• Continuous and tractable models for the variation of evolutionary rates
• Methods for evaluating density functions of exponential functionals represented as integrals of geometric Brownian motion
• On some exponential functionals of Brownian motion
• Laplace Transforms for Integrals of Markov Processes