Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.21/5973 |
Resumo: | In 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. |
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Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approachCancerChaosHomotopy solutionsNonlinear dynamicsTumor extinctionIn 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.ELSEVIER SCIENCE INCRCIPLSardanyés, JosepRodrigues, CarlaJanuário, CristinaMartins, NunoGil-Gómez, GabrielDuarte, Jorge2016-04-14T14:07:56Z2015-02-012015-02-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/5973engSARDANYÉS, 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. 484-4950096-300310.1016/j.amc.2014.12.005metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T09:50:10Zoai:repositorio.ipl.pt:10400.21/5973Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:15:11.244941Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach |
title |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach |
spellingShingle |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach Sardanyés, Josep Cancer Chaos Homotopy solutions Nonlinear dynamics Tumor extinction |
title_short |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach |
title_full |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach |
title_fullStr |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach |
title_full_unstemmed |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach |
title_sort |
Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach |
author |
Sardanyés, Josep |
author_facet |
Sardanyés, Josep Rodrigues, Carla Januário, Cristina Martins, Nuno Gil-Gómez, Gabriel Duarte, Jorge |
author_role |
author |
author2 |
Rodrigues, Carla Januário, Cristina Martins, Nuno Gil-Gómez, Gabriel Duarte, Jorge |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
RCIPL |
dc.contributor.author.fl_str_mv |
Sardanyés, Josep Rodrigues, Carla Januário, Cristina Martins, Nuno Gil-Gómez, Gabriel Duarte, Jorge |
dc.subject.por.fl_str_mv |
Cancer Chaos Homotopy solutions Nonlinear dynamics Tumor extinction |
topic |
Cancer Chaos Homotopy solutions Nonlinear dynamics Tumor extinction |
description |
In 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. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-02-01 2015-02-01T00:00:00Z 2016-04-14T14:07:56Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.21/5973 |
url |
http://hdl.handle.net/10400.21/5973 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
SARDANYÉS, 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. 484-495 0096-3003 10.1016/j.amc.2014.12.005 |
dc.rights.driver.fl_str_mv |
metadata only access info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
metadata only access |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
ELSEVIER SCIENCE INC |
publisher.none.fl_str_mv |
ELSEVIER SCIENCE INC |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133409796161536 |