Dimensions of level-1 group-based phylogenetic networks

E Gross, R Krone, S Martin - Bulletin of Mathematical Biology, 2024 - Springer
Phylogenetic networks represent evolutionary histories of sets of taxa where horizontal
evolution or hybridization has occurred. Placing a Markov model of evolution on a …

Phylogenetic invariants: straightforward from the general Markov to equivariant models

M Casanellas, J Fernández-Sánchez - arXiv preprint arXiv:2310.18053, 2023 - arxiv.org
In the last decade, some algebraic tools have been successfully applied to phylogenetic
reconstruction. These tools are mainly based on the knowledge of equations describing …

[HTML][HTML] Complexity of model testing for dynamical systems with toric steady states

MF Adamer, M Helmer - Advances in Applied Mathematics, 2019 - Elsevier
In this paper we investigate the complexity of model selection and model testing for
dynamical systems with toric steady states. Such systems frequently arise in the study of …

[HTML][HTML] Phylogenetic complexity of the Kimura 3-parameter model

M Michałek, E Ventura - Advances in Mathematics, 2019 - Elsevier
Phylogenetic complexity of the Kimura 3-parameter model - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

A novel algebraic approach to time-reversible evolutionary models

M Casanellas, R Homs, A Torres - SIAM Journal on Applied Mathematics, 2024 - SIAM
In recent years, algebraic tools have been proven useful in phylogenetic reconstruction and
model selection through the study of phylogenetic invariants. However, up to now, the …

Normality of the Kimura 3-parameter model

M Vodicka - SIAM Journal on Discrete Mathematics, 2021 - SIAM
Normality of the Kimura 3-Parameter Model Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM J. DISCRETE MATH. © 2021 Society for …

Algebraic and semi-algebraic phylogenetic reconstruction

M Garrote López - 2021 - upcommons.upc.edu
Phylogenetics is the study of the evolutionary history and relationships among groups of
biological entities (called taxa). The modeling of those evolutionary processes is done by …

Phylogenetic Reconstruction Based on Algebra

M Casanellas - Biennial Congress of the Royal Spanish Mathematical …, 2022 - Springer
Phylogenetics is the discipline that studies the evolutionary history of species. During the
last years there has been an approach to phylogenetics from the point of view of algebraic …

[DOC][DOC] KOMPLEKSITAS PENGUJIAN MODEL UNTUK SISTEM DINAMIS DENGAN KESTABILAN TORIC

I BAB - researchgate.net
Sistem dinamis dengan kestabilan toric digunakan dalam berbagai pemodelan fenomena
alam salah satunya dalam sistem biologi. Dalam sistem biologis Hal utama yang digunakan …

Algebraic methods for chemical reaction networks with extrinsic noise

MF Adamer - 2019 - ora.ox.ac.uk
Many biological mechanisms can be understood as a complex interaction of chemical
reactions. In order to explain the wealth of biochemical phenomena in systems biology, a …