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Phylogenetic comparative methods may fail to produce meaningful results when either the underlying model is inappropriate or the data contain insufficient information to inform the inference. The ability to measure the statistical power of…

Quantitative Methods · Quantitative Biology 2012-07-26 Carl Boettiger , Graham Coop , Peter Ralph

A wide range of applications and research has been done with genome-scale metabolic models. In this work we describe a methodology for comparing metabolic networks constructed from genome-scale metabolic models and how to apply this…

Molecular Networks · Quantitative Biology 2026-02-06 D. Gamermann , A. Montagud , J. A. Conejero , P. F. de Córdoba , J. F. Urchieguía

When we apply comparative phylogenetic analyses to genome data, it is a well-known problem and challenge that some of given species (or taxa) often have missing genes. In such a case, we have to impute a missing part of a gene tree from a…

Populations and Evolution · Quantitative Biology 2023-07-06 Ruriko Yoshida

In systems biology, it is common to measure biochemical entities at different levels of the same biological system. One of the central problems for the data fusion of such data sets is the heterogeneity of the data. This thesis discusses…

Genomics · Quantitative Biology 2019-08-27 Yipeng Song

In a recent study, Bryant, Francis and Steel investigated the concept of \enquote{future-proofing} consensus methods in phylogenetics. That is, they investigated if such methods can be robust against the introduction of additional data like…

Populations and Evolution · Quantitative Biology 2025-01-31 Mareike Fischer , Michael Hendriksen

Phylogenetic trees are important tools in the study of evolutionary relationships between species. Measures such as the index of Sackin, Colless, and Total Cophenetic have been extensively used to quantify tree balance, one key property of…

Populations and Evolution · Quantitative Biology 2020-09-01 T. Araújo Lima , Marcus A. M. de Aguiar

In this paper we suggest that, under suitable conditions, supervised learning can provide the basis to formulate at the microscopic level quantitative questions on the phenotype structure of multicellular organisms. The problem of…

Molecular Networks · Quantitative Biology 2012-06-14 D. Napoletani , E. Petricoin , D. C. Struppa

The problem of realizing finite metric spaces in terms of weighted graphs has many applications. For example, the mathematical and computational properties of metrics that can be realized by trees have been well-studied and such research…

Combinatorics · Mathematics 2020-02-10 Momoko Hayamizu , Katharina T. Huber , Vincent Moulton , Yukihiro Murakami

Two proteins are homologous if they have a common evolutionary origin, and the binary classification problem is to identify proteins in a candidate set that are homologous to a particular native protein. The feature (explanatory) variables…

Machine Learning · Statistics 2019-09-11 Jabed H Tomal , William J Welch , Ruben H Zamar

In biodiversity conservation it is often necessary to prioritize the species to conserve. Existing approaches to prioritization, e.g. the Fair Proportion Index and the Shapley Value, are based on phylogenetic trees and rank species…

Populations and Evolution · Quantitative Biology 2018-02-07 Kristina Wicke , Mareike Fischer

Phylogenetic networks extend phylogenetic trees to model non-vertical inheritance, by which a lineage inherits material from multiple parents. The computational complexity of estimating phylogenetic networks from genome-wide data with…

Populations and Evolution · Quantitative Biology 2022-06-28 Jingcheng Xu , Cécile Ané

The rich and varied ways that genetic material can be passed between species has motivated extensive research into the theory of phylogenetic networks. Features that align with biological processes, or with desirable mathematical…

Populations and Evolution · Quantitative Biology 2025-08-12 Andrew Francis

In phylogenetic networks, it is desirable to estimate edge lengths in substitutions per site or calendar time. Yet, there is a lack of scalable methods that provide such estimates. Here we consider the problem of obtaining edge length…

Populations and Evolution · Quantitative Biology 2024-08-06 Jingcheng Xu , Cécile Ané

In the past, the dichotomy between homophily and heterophily has inspired research contributions toward a better understanding of Deep Graph Networks' inductive bias. In particular, it was believed that homophily strongly correlates with…

Machine Learning · Computer Science 2023-08-21 Daniele Castellana , Federico Errica

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

We study distorted metrics on binary trees in the context of phylogenetic reconstruction. Given a binary tree $T$ on $n$ leaves with a path metric $d$, consider the pairwise distances $\{d(u,v)\}$ between leaves. It is well known that these…

Combinatorics · Mathematics 2007-05-23 Elchanan Mossel

The branching structure of biological evolution confers statistical dependencies on phenotypic trait values in related organisms. For this reason, comparative macroevolutionary studies usually begin with an inferred phylogeny that describes…

Populations and Evolution · Quantitative Biology 2012-07-23 Forrest W. Crawford , Marc A. Suchard

Tree-based phylogenetic networks, which may be roughly defined as leaf-labeled networks built by adding arcs only between the original tree edges, have elegant properties for modeling evolutionary histories. We answer an open question of…

Since they became observable, neuron morphologies have been informally compared with biological trees but they are studied by distinct communities, neuroscientists, and ecologists. The apparent structural similarity suggests there may be…

Neurons and Cognition · Quantitative Biology 2023-07-06 Roozbeh Farhoodi , Phil Wilkes , Anirudh M. Natarajan , Samantha Ing-Esteves , Julie L. Lefebvre , Mathias Disney , Konrad P. Kording

The inability to resolve deep node relationships of highly divergent/rapidly evolving protein families is a major factor that stymies evolutionary studies. In this manuscript, we propose a Multiple Sequence Alignment (MSA) independent…

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