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Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach

2015-02-01Journal article Restricted access
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dc.contributor.authorSardanyés, Josep
dc.contributor.authorRodrigues, Carla
dc.contributor.authorJanuário, Cristina
dc.contributor.authorMartins, Nuno
dc.contributor.authorGil-Gómez, Gabriel
dc.contributor.authorDuarte, Jorge
dc.date.accessioned2016-04-14T14:07:56Z
dc.date.available2016-04-14T14:07:56Z
dc.date.issued2015-02-01
dc.description.abstractIn this article we provide homotopy solutions of a cancer nonlinear model describing the dynamics of tumor cells in interaction with healthy and effector immune cells. We apply a semi-analytic technique for solving strongly nonlinear systems – the Step Homotopy Analysis Method (SHAM). This algorithm, based on a modification of the standard homotopy analysis method (HAM), allows to obtain a one-parameter family of explicit series solutions. By using the homotopy solutions, we first investigate the dynamical effect of the activation of the effector immune cells in the deterministic dynamics, showing that an increased activation makes the system to enter into chaotic dynamics via a period-doubling bifurcation scenario. Then, by adding demographic stochasticity into the homotopy solutions, we show, as a difference from the deterministic dynamics, that an increased activation of the immune cells facilitates cancer clearance involving tumor cells extinction and healthy cells persistence. Our results highlight the importance of therapies activating the effector immune cells at early stages of cancer progression.pt_PT
dc.identifier.citationSARDANYÉS, JOSEP; [et al.] - Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach. Applied Mathematics and Computation. ISSN.0096-3003. Vol. 252 (2015), pp. 484-495pt_PT
dc.identifier.doi10.1016/j.amc.2014.12.005pt_PT
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.urihttp://hdl.handle.net/10400.21/5973
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherELSEVIER SCIENCE INCpt_PT
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0096300314016506pt_PT
dc.subjectCancerpt_PT
dc.subjectChaospt_PT
dc.subjectHomotopy solutionspt_PT
dc.subjectNonlinear dynamicspt_PT
dc.subjectTumor extinctionpt_PT
dc.titleActivation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approachpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage495pt_PT
oaire.citation.startPage484pt_PT
oaire.citation.volume252pt_PT
person.familyNameJanuário
person.familyNameDuarte
person.givenNameCristina
person.givenNameJorge
person.identifier.ciencia-idBC1D-1E83-E2B2
person.identifier.orcid0000-0002-6978-876X
person.identifier.orcid0000-0003-2641-3199
person.identifier.ridG-7261-2011
person.identifier.scopus-author-id56526791400
person.identifier.scopus-author-id35310049800
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication42a4023b-b4c4-4456-aaba-d97bf8c14d6a
relation.isAuthorOfPublication4dbec82a-caa4-4662-b156-af73687e867f
relation.isAuthorOfPublication.latestForDiscovery42a4023b-b4c4-4456-aaba-d97bf8c14d6a

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