Modelling Functional Shifts in Two-Species Hypercycles
| Autor: | David Alonso, Bernat Bassols, Josep Sardanyés, Daniel Oro, Ernest Fontich |
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| Rok vydání: | 2021 |
| Předmět: |
genetic structures
Behavioural ecology General Mathematics Population Biology ribozymes origins of life 01 natural sciences Model dynamics 010305 fluids & plasmas Functional shift 03 medical and health sciences Origin of life 0103 physical sciences Computer Science (miscellaneous) Hypercycle (chemistry) QA1-939 Origen de la vida Differentiable dynamical systems education Engineering (miscellaneous) 030304 developmental biology functional shifts 0303 health sciences Facultative education.field_of_study Extinction Obligate Macromolècules dynamical systems Sistemes dinàmics diferenciables Cooperation Macromolecules Evolutionary biology Biological significance Mathematics |
| Zdroj: | Dipòsit Digital de la UB Universidad de Barcelona Digital.CSIC: Repositorio Institucional del CSIC Consejo Superior de Investigaciones Científicas (CSIC) Mathematics Volume 9 Issue 15 Digital.CSIC. Repositorio Institucional del CSIC instname Mathematics, Vol 9, Iss 1809, p 1809 (2021) |
| Popis: | Este artículo contiene 22 páginas, 11 figuras. Research on hypercycles focuses on cooperative interactions among replicating species, including the emergence of catalytic parasites and catalytic shortcircuits. Further interactions may be expected to arise in cooperative systems. For instance, molecular replicators are subject to mutational processes and ecological species to behavioural shifts due to environmental and ecological changes. Such changes could involve switches from cooperative to antagonistic interactions, in what we call a functional shift. In this article, we investigate a model for a two-member hypercycle model, considering that one species performs a functional shift. First, we introduce the model dynamics without functional shifts to illustrate the dynamics only considering obligate and facultative cooperation. Then, two more cases maintaining cross-catalysis are considered: (i) a model describing the dynamics of ribozymes where a fraction of the population of one replicator degrades the other molecular species while the other fraction still receives catalytic aid; and (ii) a system in which a given fraction of the population predates on the cooperating species while the rest of the population still receives aid. We have characterised the key bifurcation parameters determining extinction, survival, and coexistence of species. We show that predation, regardless of the fraction that benefits from it, does not significantly change dynamics with respect to the degradative case (i), thus conserving dynamics and bifurcations. Their biological significance is interpreted, and their potential implications for the dynamics of early replicators and ecological species are outlined E.F. has been funded by the Spanish Government grant PID2019-104851GB-I00 (MICINN/FEDER, UE) and the Catalan Government grant 2017-SGR-1374. D.O. was funded by the Spanish Government grant CGL2017-85210-P (MICIN/FEDER, UE). D.A. has been partially funded by the Spanish “Minis terio de Ciencia, Innovación y Universidades” under the project CRISIS (PGC2018-096577-B-I00) and the European Regional Development Fund. J.S. has been partially funded by the CERCA Programme of the “Generalitat de Catalunya”, by “Agencia Estatal de Investigacíon” grant RTI2018-098322-B-I00, and the “Ramón y Cajal” contract RYC-2017-22243. |
| Databáze: | OpenAIRE |
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