A generative model for bipartite gene-sharing networks

Fuente: arXiv
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Main Authors: Iranzo, Jaime, Jódar, Pedro, Koonin, Eugene V., Manrubia, Susanna, Cuesta, José A.
Format: Preprint
Published: 2026
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author Iranzo, Jaime
Jódar, Pedro
Koonin, Eugene V.
Manrubia, Susanna
Cuesta, José A.
author_facet Iranzo, Jaime
Jódar, Pedro
Koonin, Eugene V.
Manrubia, Susanna
Cuesta, José A.
contents Gene-sharing networks provide a powerful framework to study the evolution of viruses and mobile genetic elements. These bipartite networks, which link genes to the genomes that contain them, exhibit characteristic degree distributions: a scale-free distribution for genes and an exponential-like decay for genomes. Here, we propose a mechanistic model that explains these patterns through fundamental evolutionary processes including horizontal gene transfer, capture of new genes, emergence of new genomes, and gene loss. Using a mean-field approximation, we derive analytical expressions for the asymptotic gene and genome degree distributions, recapitulating a power-law distribution for genes and an exponential distribution for genomes. Numerical simulations validate these predictions and yield parameter values that closely fit empirical data from dsDNA viruses, RNA viruses, and prokaryotic pangenomes. This simple model with only two parameters provides a generative framework for bipartite gene-sharing networks, offering qualitative and quantitative insights into the main evolutionary forces driving genome plasticity. Setting the gene loss rate to zero, the gene and genome degree distributions of the model closely fit the empirically observed distributions. Thus, evolution of viruses appears to be dominated by gene gain, in agreement with the results of independent reconstructions of viral evolution.
format Preprint
id arxiv_https___arxiv_org_abs_2604_13963
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A generative model for bipartite gene-sharing networks
Iranzo, Jaime
Jódar, Pedro
Koonin, Eugene V.
Manrubia, Susanna
Cuesta, José A.
Populations and Evolution
Biological Physics
Gene-sharing networks provide a powerful framework to study the evolution of viruses and mobile genetic elements. These bipartite networks, which link genes to the genomes that contain them, exhibit characteristic degree distributions: a scale-free distribution for genes and an exponential-like decay for genomes. Here, we propose a mechanistic model that explains these patterns through fundamental evolutionary processes including horizontal gene transfer, capture of new genes, emergence of new genomes, and gene loss. Using a mean-field approximation, we derive analytical expressions for the asymptotic gene and genome degree distributions, recapitulating a power-law distribution for genes and an exponential distribution for genomes. Numerical simulations validate these predictions and yield parameter values that closely fit empirical data from dsDNA viruses, RNA viruses, and prokaryotic pangenomes. This simple model with only two parameters provides a generative framework for bipartite gene-sharing networks, offering qualitative and quantitative insights into the main evolutionary forces driving genome plasticity. Setting the gene loss rate to zero, the gene and genome degree distributions of the model closely fit the empirically observed distributions. Thus, evolution of viruses appears to be dominated by gene gain, in agreement with the results of independent reconstructions of viral evolution.
title A generative model for bipartite gene-sharing networks
topic Populations and Evolution
Biological Physics
url https://arxiv.org/abs/2604.13963