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dc.contributor.authorConte M.en_US
dc.contributor.authorGroppi M.en_US
dc.contributor.authorSpiga G.en_US
dc.date.accessioned2019-02-15T17:40:29Z
dc.date.available2019-02-15T17:40:29Z
dc.date.issued2018-08
dc.identifier.issn1531-3492
dc.identifier.urihttp://hdl.handle.net/20.500.11824/932
dc.description.abstractA mathematical model, based on a mesoscopic approach, describing the competition between tumor cells and immune system in terms of kinetic integro-differential equations is presented. Four interacting populations are considered, representing, respectively, tumors cells, cells of the host environment, cells of the immune system, and interleukins, which are capable to modify the tumor-immune system interaction and to contribute to destroy tumor cells. The internal state variable (activity) measures the capability of a cell of prevailing in a binary interaction. Under suitable assumptions, a closed set of autonomous ordinary differential equations is then derived by a moment procedure and two three-dimensional reduced systems are obtained in some partial quasi-steady state approximations. Their qualitative analysis is finally performed, with particular attention to equilibria and their stability, bifurcations, and their meaning. Results are obtained on asymptotically autonomous dynamical systems, and also on the occurrence of a particular backward bifurcation.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherDiscrete and Continuous Dynamical Systems - Series Ben_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectKinetic modelsen_US
dc.subjectMacroscopic closuresen_US
dc.subjectAsymptotically autonomous systemsen_US
dc.subjectStabilityen_US
dc.subjectForward and backward bifurcationsen_US
dc.titleQualitative analysis of kinetic-based models for tumor-immune system interactionen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/acceptedVersionen_US
dc.identifier.doi10.3934/dcdsb.2018060
dc.relation.publisherversionhttp://aimsciences.org//article/doi/10.3934/dcdsb.2018060en_US


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