Dynamics of Immunological Models

dc.contributor.authorPinto, A. A.
dc.contributor.authorBurroughs, N. J.
dc.contributor.authorFerreira, Miguel
dc.contributor.authorOliveira , B. M. P. M.
dc.date.accessioned2025-05-30T09:49:20Z
dc.date.available2025-05-30T09:49:20Z
dc.date.issued2010-08-04
dc.description.abstractWe analyse the effect of the regulatory T cells (Tregs) in the local control of the immune responses by T cells. We obtain an explicit formula for the level of antigenic stimulation of T cells as a function of the concentration of T cells and the parameters of the model. The relation between the concentration of the T cells and the antigenic stimulation of T cells is an hysteresis, that is unfold for some parameter values. We study the appearance of autoimmunity from cross-reactivity between a pathogen and a self antigen or from bystander proliferation. We also study an asymmetry in the death rates. With this asymmetry we show that the antigenic stimulation of the Tregs is able to control locally the population size of Tregs. Other effects of this asymmetry are a faster immune response and an improvement in the simulations of the bystander proliferation. The rate of variation of the levels of antigenic stimulation determines if the outcome is an immune response or if Tregs are able to maintain control due to the presence of a transcritical bifurcation for some tuning between the antigenic stimuli of T cells and Tregs. This behavior is explained by the presence of a transcritical bifurcation.
dc.identifier.citationPinto, A. A., Burroughs, N. J., Ferreira, M., & Oliveira , B. M. P. M. (2010). Dynamics of Immunological Models. Acta Biotheoretica, 58, 391-404. https://doi.org/10.1007/s10441-010-9117-6. Repositóri Institucional UPT. https://hdl.handle.net/11328/6343
dc.identifier.issn0001-5342
dc.identifier.issn1572-8358
dc.identifier.urihttps://hdl.handle.net/11328/6343
dc.language.isoeng
dc.publisherSpringer
dc.relation.hasversionhttps://doi.org/10.1007/s10441-010-9117-6
dc.rightsrestricted access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectImmunology
dc.subjectTregs
dc.subjectSecretion inhibition
dc.subjectODE model
dc.subject.fosCiências Naturais - Ciências da Computação e da Informação
dc.titleDynamics of Immunological Models
dc.typejournal article
dcterms.referenceshttps://link.springer.com/article/10.1007/s10441-010-9117-6#citeas
dspace.entity.typePublication
oaire.citation.endPage404
oaire.citation.startPage391
oaire.citation.titleActa Biotheoretica
oaire.citation.volume58
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.affiliation.nameREMIT – Research on Economics, Management and Information Technologies
person.familyNameFerreira
person.givenNameMiguel
person.identifier.ciencia-id7312-2245-4991
person.identifier.orcid0000-0003-0570-6259
person.identifier.scopus-author-id55860403900
relation.isAuthorOfPublicationdc7dc958-bfcb-4cae-b0e1-279ba1e6b352
relation.isAuthorOfPublication.latestForDiscoverydc7dc958-bfcb-4cae-b0e1-279ba1e6b352

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