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The analysis of biological networks is characterized by the definition of precise linear constraints used to cumulatively reduce the solution space of the computed states of a multi-omic (for instance metabolic, transcriptomic and…

Molecular Networks · Quantitative Biology 2018-10-15 Vandan Parmar , Pietro Lio

Phylogenetic networks generalize phylogenetic trees, and have been introduced in order to describe evolution in the case of transfer of genetic material between coexisting species. There are many classes of phylogenetic networks, which can…

Combinatorics · Mathematics 2020-03-13 Mathilde Bouvel , Philippe Gambette , Marefatollah Mansouri

Evolutionary methods have long been useful for analysis and explanation in genetics, biology, ecology, and related fields. In this work, we extend these methods to neural networks, specifically large language models (LLMs), to better…

Neural and Evolutionary Computing · Computer Science 2026-05-06 Shannon K. Gallagher , Swati Rallapalli , Tyler Brooks , Chuck Loughin , Michele Sezgin , Ronald Yurko

The search for similarity and dissimilarity measures on phylogenetic trees has been motivated by the computation of consensus trees, the search by similarity in phylogenetic databases, and the assessment of clustering results in…

Populations and Evolution · Quantitative Biology 2011-11-09 Francesc Rossello , Gabriel Valiente

Recent work has attempted to use whole-genome sequence data from pathogens to reconstruct the transmission trees linking infectors and infectees in outbreaks. However, transmission trees from one outbreak do not generalize to future…

Quantitative Methods · Quantitative Biology 2023-10-24 Eben Kenah , Tom Britton , M. Elizabeth Halloran , Ira M. Longini

Generative models derived from large protein sequence alignments define complex fitness landscapes, but their utility for accurately modeling non-equilibrium evolutionary dynamics remains unclear. In this work, we perform a rigorous…

Populations and Evolution · Quantitative Biology 2026-02-10 Leonardo Di Bari , Thierry Mora , Andrea Pagnani , Aleksandra M. Walczak , Francesco Zamponi , Saverio Rossi

A review of the mechanisms of speciation is performed. The mechanisms of the evolution of species, taking into account the feedback of the state of the environment and mechanisms of the emergence of complexity, are considered. It is shown…

Populations and Evolution · Quantitative Biology 2018-07-18 Alexey V. Melkikh , Alexey V. Melkikh , Andrei Khrennikov

Phylogenetics begins with reconstructing biological family trees from genetic data. Since Nature is not limited to tree-like histories, we use networks to organize our data, and have discovered new polytopes, metric spaces, and simplicial…

Combinatorics · Mathematics 2019-05-28 Satyan Devadoss , Cassandra Durell , Stefan Forcey

The ability to compare complex systems can provide new insight into the fundamental nature of the processes captured in ways that are otherwise inaccessible to observation. Here, we introduce the $n$-tangle method to directly compare two…

Physics and Society · Physics 2014-11-27 Lazaros K. Gallos , Nina H. Fefferman

Cells with the same genome can exist in different phenotypes. and can change between distinct phenotypes when subject to specific stimuli and microenvironments. Some examples include cell differentiation during development, reprogramming…

Quantitative Methods · Quantitative Biology 2022-09-28 Jianhua Xing

The architecture of biological networks has been reported to exhibit high level of modularity, and to some extent, topological modules of networks overlap with known functional modules. However, how the modular topology of the molecular…

Molecular Networks · Quantitative Biology 2007-09-07 Jing Zhao , Guo-Hui Ding , Lin Tao , Hong Yu , Zhong-Hao Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

Metabolites, small molecules that are involved in cellular reactions, provide a direct functional signature of cellular state. Untargeted metabolomics experiments usually relies on tandem mass spectrometry to identify the thousands of…

Quantitative Methods · Quantitative Biology 2015-01-29 Kai Dührkop , Sebastian Böcker

In prokaryotic genomes the number of transcriptional regulators is known to quadratically scale with the total number of protein-coding genes. Toolbox model was recently proposed to explain this scaling for metabolic enzymes and their…

Molecular Networks · Quantitative Biology 2010-09-24 Tin Yau Pang , Sergei Maslov

We discuss a model of genome as a program with functional architecture and consider the approach to Darwinian evolution as a learning problem for functional programming. In particular we introduce a model of learning for some class of…

Neural and Evolutionary Computing · Computer Science 2020-06-18 S. V. Kozyrev

Phylogenomics is a new field which applies to tools in phylogenetics to genome data. Due to a new technology and increasing amount of data, we face new challenges to analyze them over a space of phylogenetic trees. Because a space of…

Combinatorics · Mathematics 2020-05-15 Ruriko Yoshida

Phylogenetic trees and networks are graphs used to model evolutionary relationships, with trees representing strictly branching histories and networks allowing for events in which lineages merge, called reticulation events. While the…

Populations and Evolution · Quantitative Biology 2026-04-17 Martin Frohn , Niels Holtgrefe , Leo van Iersel , Mark Jones , Steven Kelk

Simple stochastic models for phylogenetic trees on species have been well studied. But much paleontology data concerns time series or trees on higher-order taxa, and any broad picture of relationships between extant groups requires use of…

Populations and Evolution · Quantitative Biology 2007-08-28 David Aldous , Maxim Krikun , Lea Popovic

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

When simulating metabolite productions with genome-scale constraint-based metabolic models, gene deletion strategies are necessary to achieve growth-coupled production, which means cell growth and target metabolite production occur…

Quantitative Methods · Quantitative Biology 2025-11-18 Ziwei Yang , Takeyuki Tamura

Tree-size distribution is one of the most investigated subjects in plant population biology. The forestry literature reports that tree-size distribution trajectories vary across different stands and/or species, while the metabolic scaling…

Populations and Evolution · Quantitative Biology 2012-12-04 Tommaso Anfodillo , Marco Carrer , Filippo Simini , Ionel Popa , Jayanth R. Banavar , Amos Maritan
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