{"id":{"repo_id":"dcu","oai_identifier":"oai:doras.dcu.ie:16809"},"canonical_url":"https://search.dev.ndltd.org/etd/dcu/oai:doras.dcu.ie:16809","repository":{"repo_id":"dcu","name":"Dublin City University","base_url":"http://doras.dcu.ie/cgi/oai2"},"display":{"title":"Role of delay differential equations in modelling low level HIV viral load","abstract":"Over the past 30 years, HIV has infected over 60 million people, with almost half succumbing to AIDS-related illnesses.While antiretroviral therapy, used to significantly reduce within-host HIV replication, was available within 10 years of the discovery of HIV/AIDS, it is only within the last 10 years that it has become truly effective and universally accessible. However, there are problems with this therapy, not least that it must be administered indefinitely , but is expensive and highly toxic. Furthermore, as therapy reaches more resource-limited regions, continual access can not be guaranteed, resulting in therapy interruptions. This, coupled with a significant cost reduction by systematically interrupting therapy, means a set of models which can account for both treatment events need to be developed, as numerous models exist for therapy introduction, but those for therapy removal are limited. Thus a set of delay differential models are designed, which account for previously overlooked important features of intracellular delay and HIV latency. Incorporation of these features requires additional model components, leading to a rapid increase in complexity. To combat this complexity issue, dimensional analysis is introduced, as a novel method of identifying key components to model function, thus allowing significant reduction in parameter space. Based on these developed models, a number of existing and potential treatment interruption regimes are investigated, with a best practice regime suggested.","abstract_html":"Over the past 30 years, HIV has infected over 60 million people, with almost half succumbing to AIDS-related illnesses.While antiretroviral therapy, used to significantly reduce within-host HIV replication, was available within 10 years of the discovery of HIV/AIDS, it is only within the last 10 years that it has become truly effective and universally accessible. However, there are problems with this therapy, not least that it must be administered indefinitely , but is expensive and highly toxic. Furthermore, as therapy reaches more resource-limited regions, continual access can not be guaranteed, resulting in therapy interruptions. This, coupled with a significant cost reduction by systematically interrupting therapy, means a set of models which can account for both treatment events need to be developed, as numerous models exist for therapy introduction, but those for therapy removal are limited. Thus a set of delay differential models are designed, which account for previously overlooked important features of intracellular delay and HIV latency. Incorporation of these features requires additional model components, leading to a rapid increase in complexity. To combat this complexity issue, dimensional analysis is introduced, as a novel method of identifying key components to model function, thus allowing significant reduction in parameter space. Based on these developed models, a number of existing and potential treatment interruption regimes are investigated, with a best practice regime suggested.","abstract_has_math":false,"creators":["McGuinness, Ed"],"institution":"Dublin City University","degree_name":"phd","degree_level":"doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-03","date_published":"2012-03","updated_at":"2026-07-24T02:00:48Z","subjects":["Differential equations","Mathematics","Epidemiology"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.sponsor","label":"Sponsor","values":["IRCSET"]},{"key":"dc:creator","label":"Author","values":["McGuinness, Ed"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-03"]},{"key":"dc:date.issued","label":"Date","values":["2012-03"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["Dublin City University"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://doras.dcu.ie/16809/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["phd"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Differential equations","Mathematics","Epidemiology"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://doras.dcu.ie/16809/1/E_McGuinness_PhD_thesis_2012.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Over the past 30 years, HIV has infected over 60 million people, with almost half succumbing to AIDS-related illnesses.While antiretroviral therapy, used to significantly reduce within-host HIV replication, was available within 10 years of the discovery of HIV/AIDS, it is only within the last 10 years that it has become truly effective and universally accessible. However, there are problems with this therapy, not least that it must be administered indefinitely , but is expensive and highly toxic. Furthermore, as therapy reaches more resource-limited regions, continual access can not be guaranteed, resulting in therapy interruptions. This, coupled with a significant cost reduction by systematically interrupting therapy, means a set of models which can account for both treatment events need to be developed, as numerous models exist for therapy introduction, but those for therapy removal are limited. Thus a set of delay differential models are designed, which account for previously overlooked important features of intracellular delay and HIV latency. Incorporation of these features requires additional model components, leading to a rapid increase in complexity. To combat this complexity issue, dimensional analysis is introduced, as a novel method of identifying key components to model function, thus allowing significant reduction in parameter space. Based on these developed models, a number of existing and potential treatment interruption regimes are investigated, with a best practice regime suggested."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Role of delay differential equations in modelling low level HIV viral load"]}]}],"canonical_facts":{"dc:contributor.sponsor":["IRCSET"],"dc:creator":["McGuinness, Ed"],"dc:date":["2012-03"],"dc:date.issued":["2012-03"],"dc:description.abstract":["Over the past 30 years, HIV has infected over 60 million people, with almost half succumbing to AIDS-related illnesses.While antiretroviral therapy, used to significantly reduce within-host HIV replication, was available within 10 years of the discovery of HIV/AIDS, it is only within the last 10 years that it has become truly effective and universally accessible. However, there are problems with this therapy, not least that it must be administered indefinitely , but is expensive and highly toxic. Furthermore, as therapy reaches more resource-limited regions, continual access can not be guaranteed, resulting in therapy interruptions. This, coupled with a significant cost reduction by systematically interrupting therapy, means a set of models which can account for both treatment events need to be developed, as numerous models exist for therapy introduction, but those for therapy removal are limited. Thus a set of delay differential models are designed, which account for previously overlooked important features of intracellular delay and HIV latency. Incorporation of these features requires additional model components, leading to a rapid increase in complexity. To combat this complexity issue, dimensional analysis is introduced, as a novel method of identifying key components to model function, thus allowing significant reduction in parameter space. Based on these developed models, a number of existing and potential treatment interruption regimes are investigated, with a best practice regime suggested."],"dc:format":["application/pdf"],"dc:identifier.uri":["https://doras.dcu.ie/16809/1/E_McGuinness_PhD_thesis_2012.pdf"],"dc:language":["en"],"dc:publisher.institution":["Dublin City University"],"dc:relation.isreferencedby":["https://doras.dcu.ie/16809/"],"dc:subject":["Differential equations","Mathematics","Epidemiology"],"dc:title":["Role of delay differential equations in modelling low level HIV viral load"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["doctoral"],"dc:type.qualificationname":["phd"]},"updated_at":"2026-07-24T02:00:48Z"}