Publication
Fractional complex-order model for HIV infection with drug resistance during therapy
| dc.contributor.author | Pinto, Carla M.A. | |
| dc.contributor.author | Carvalho, Ana R.M. | |
| dc.date.accessioned | 2017-01-09T11:17:41Z | |
| dc.date.embargo | 2117 | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We propose a fractional complex-order model for drug resistance in HIV infection. We consider three distinct growth rates for the CD4+ T helper cells. We simulate the model for different values of the fractional derivative of complex order Dα±jβ, where α,β ∈ R+, and for distinct growth rates. The fractional derivative of complex order is a generalization of the integer-order derivative where α = 1 and β = 0. The fractional complex-order system reveals rich dynamics and variation of the value of the complex-order derivative sheds new light on the modeling of the intracellular delay. Additionally, fractional patterns are characterized by time responses with faster transients and slower evolutions towards the steady state. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1177/1077546315574964 | pt_PT |
| dc.identifier.issn | 1077-5463 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/9150 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | SAGE Publications | pt_PT |
| dc.relation.ispartofseries | Journal of Vibration and Control;Vol. 22, issue 9 | |
| dc.relation.publisherversion | http://journals.sagepub.com/doi/full/10.1177/1077546315574964 | pt_PT |
| dc.subject | HIV | pt_PT |
| dc.subject | Integer-order model | pt_PT |
| dc.subject | Fractional-order model | pt_PT |
| dc.subject | Drug resistance | pt_PT |
| dc.subject | Growth rates | pt_PT |
| dc.title | Fractional complex-order model for HIV infection with drug resistance during therapy | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 2239 | pt_PT |
| oaire.citation.issue | 9 | pt_PT |
| oaire.citation.startPage | 2222 | pt_PT |
| oaire.citation.title | Journal of Vibration and Control | pt_PT |
| oaire.citation.volume | 22 | pt_PT |
| person.familyName | Pinto | |
| person.givenName | Carla | |
| person.identifier.orcid | 0000-0002-0729-1133 | |
| person.identifier.rid | J-5221-2013 | |
| person.identifier.scopus-author-id | 14326048800 | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | edfd0bf4-9f73-47ee-817a-860e3d088994 | |
| relation.isAuthorOfPublication.latestForDiscovery | edfd0bf4-9f73-47ee-817a-860e3d088994 |