131310 20240319080957.0 doi 10.1016/j.jtbi.2021.110942 sideral 128084 ART-2022-128084 eng Alcalde Cuesta, F. Bernoulli and binomial proliferation on evolutionary graphs 2022 In this paper we introduce random proliferation models on graphs. We consider two types of particles: type-1/mutant/invader/red particles proliferates on a population of type-2/wild-type/resident/blue particles. Unlike the well-known Moran model on graphs –as introduced in Lieberman et al. (2005)–, type-1 particles can occupy in a single iteration several neighbouring sites previously occupied by type-2 particles. Two variants are considered, depending on the random distribution involving the proliferation mechanism: Bernoulli and binomial proliferation. By comparison with fixation probability of type-1 particles in the Moran process, critical parameters are introduced. Properties of proliferation are studied and some particular cases are analytically solved. Finally, by updating the parameters that drive the processes through a density-dependent mechanism, it is possible to capture additional relevant features as fluctuating waves of type-1 particles over long periods of time. In fact, the models can be adapted to tackle more general, complex and realistic situations. © 2021 Elsevier Ltd info:eu-repo/grantAgreement/ES/DGA/E22-17R info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.0 2022 MATHEMATICAL & COMPUTATIONAL BIOLOGY 34 / 55 = 0.618 2022 Q3 T2 BIOLOGY 54 / 92 = 0.587 2022 Q3 T2 0.566 2022 Agricultural and Biological Sciences (miscellaneous) 2022 Q1 Biochemistry, Genetics and Molecular Biology (miscellaneous) 2022 Q2 Statistics and Probability 2022 Q2 Medicine (miscellaneous) 2022 Q2 Modeling and Simulation 2022 Q2 Applied Mathematics 2022 Q2 Immunology and Microbiology (miscellaneous) 2022 Q2 4.9 2022 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Guerberoff, G. Lozano Rojo, Á. Universidad de Zaragoza (orcid)0000-0002-1184-5901 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 534 (2022), 110942 [19 pp.] J. theor. biol. Journal of theoretical biology 0022-5193 8784109 http://zaguan.unizar.es/record/131310/files/texto_completo.pdf Postprint 2943713 http://zaguan.unizar.es/record/131310/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:131310 articulos driver 2024-03-18-13:46:27 ARTICLE