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Topological entropy of catalytic sets: Hypercycles revisited

2012-02Journal article Restricted access
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dc.contributor.authorSardanyes, Josep
dc.contributor.authorDuarte, Jorge
dc.contributor.authorJanuário, Cristina
dc.contributor.authorMartins, Nuno
dc.date.accessioned2015-09-10T10:01:05Z
dc.date.available2015-09-10T10:01:05Z
dc.date.issued2012-02
dc.description.abstractThe dynamics of catalytic networks have been widely studied over the last decades because of their implications in several fields like prebiotic evolution, virology, neural networks, immunology or ecology. One of the most studied mathematical bodies for catalytic networks was initially formulated in the context of prebiotic evolution, by means of the hypercycle theory. The hypercycle is a set of self-replicating species able to catalyze other replicator species within a cyclic architecture. Hypercyclic organization might arise from a quasispecies as a way to increase the informational containt surpassing the so-called error threshold. The catalytic coupling between replicators makes all the species to behave like a single and coherent evolutionary multimolecular unit. The inherent nonlinearities of catalytic interactions are responsible for the emergence of several types of dynamics, among them, chaos. In this article we begin with a brief review of the hypercycle theory focusing on its evolutionary implications as well as on different dynamics associated to different types of small catalytic networks. Then we study the properties of chaotic hypercycles with error-prone replication with symbolic dynamics theory, characterizing, by means of the theory of topological Markov chains, the topological entropy and the periods of the orbits of unimodal-like iterated maps obtained from the strange attractor. We will focus our study on some key parameters responsible for the structure of the catalytic network: mutation rates, autocatalytic and cross-catalytic interactions.por
dc.identifier.citationSARDANYES, J.; [et al] – Topological entropy of catalytic sets: Hypercycles revisited. Communications in Nonlinear Science and Numerical Simulation. ISSN: 1007-5704. Vol. 17, nr. 2 (2012), pp. 795-803por
dc.identifier.doi10.1016/j.cnsns.2011.06.020
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/10400.21/5140
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevier Science Bvpor
dc.relationHuman Frontier Science Program Organization - Grant RGP12/2008 (JS)
dc.subjectChaospor
dc.subjectHypercyclespor
dc.subjectMarkov Metricspor
dc.subjectPrebiotic Evolutionpor
dc.subjectTopological Entropypor
dc.subjectSpatiotemporal Dynamics
dc.subjectGenetic Information
dc.subjectSelf-Replication
dc.subjectError Threshold
dc.subjectParasites
dc.subjectComplementation
dc.subjectEvolution
dc.subjectNetworks
dc.subjectModel
dc.subjectPopulations
dc.titleTopological entropy of catalytic sets: Hypercycles revisitedpor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage803por
oaire.citation.issue2por
oaire.citation.startPage795por
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpor
oaire.citation.volume17por
person.familyNameDuarte
person.familyNameJanuário
person.givenNameJorge
person.givenNameCristina
person.identifier.ciencia-idBC1D-1E83-E2B2
person.identifier.orcid0000-0003-2641-3199
person.identifier.orcid0000-0002-6978-876X
person.identifier.ridG-7261-2011
person.identifier.scopus-author-id35310049800
person.identifier.scopus-author-id56526791400
rcaap.rightsclosedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication4dbec82a-caa4-4662-b156-af73687e867f
relation.isAuthorOfPublication42a4023b-b4c4-4456-aaba-d97bf8c14d6a
relation.isAuthorOfPublication.latestForDiscovery42a4023b-b4c4-4456-aaba-d97bf8c14d6a

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