Time-varying pharmacodynamics in a simple non-integer HIV infection model
•the effect of time-varying drug exposure in HIV infected patients is studied in a fractional order model.•the slope of the dose-response curve, the drug’s half-life, and the dosing interval impact significantly the dynamics of the proposed model.•the order of the fractional derivative can be used t...
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| Veröffentlicht in: | Mathematical biosciences 2019-01, Vol.307, p.1-12 |
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| creator | Pinto, Carla M.A. Carvalho, Ana R.M. Tavares, João N. |
| description | •the effect of time-varying drug exposure in HIV infected patients is studied in a fractional order model.•the slope of the dose-response curve, the drug’s half-life, and the dosing interval impact significantly the dynamics of the proposed model.•the order of the fractional derivative can be used to deepen the understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens.
In this paper we study the effect of time-varying drug exposure in the dynamics of a fractional order model for the human immunodeficiency virus infection. We compute the reproduction number of the model and verify the stability of the disease-free equilibrium. The model is simulated for parameters directly modelling the pharmacodynamics of HIV, namely the slope of the dose-response curve, the drug’s half-life, and the dosing interval. The later affect in a significant way the infection patterns. The order of the fractional derivative is also a key player of the model, adding more information, which could be useful for a deeper understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens. |
| doi_str_mv | 10.1016/j.mbs.2018.11.001 |
| format | Article |
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In this paper we study the effect of time-varying drug exposure in the dynamics of a fractional order model for the human immunodeficiency virus infection. We compute the reproduction number of the model and verify the stability of the disease-free equilibrium. The model is simulated for parameters directly modelling the pharmacodynamics of HIV, namely the slope of the dose-response curve, the drug’s half-life, and the dosing interval. The later affect in a significant way the infection patterns. The order of the fractional derivative is also a key player of the model, adding more information, which could be useful for a deeper understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens.</description><identifier>ISSN: 0025-5564</identifier><identifier>EISSN: 1879-3134</identifier><identifier>DOI: 10.1016/j.mbs.2018.11.001</identifier><identifier>PMID: 30399368</identifier><language>eng</language><publisher>United States: Elsevier Inc</publisher><subject>Computer simulation ; Dosage ; Fractional model ; HIV ; Human immunodeficiency virus ; Infections ; Pharmacodynamics ; Pharmacology ; Time-varying drug efficacy ; Viruses</subject><ispartof>Mathematical biosciences, 2019-01, Vol.307, p.1-12</ispartof><rights>2018 Elsevier Inc.</rights><rights>Copyright © 2018 Elsevier Inc. All rights reserved.</rights><rights>Copyright Elsevier Science Ltd. Jan 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c381t-bc7163198d5841e145e74831dd76cd094cfe0af9aeed8e6bcf7085fc9e8a1fe3</citedby><cites>FETCH-LOGICAL-c381t-bc7163198d5841e145e74831dd76cd094cfe0af9aeed8e6bcf7085fc9e8a1fe3</cites><orcidid>0000-0002-0729-1133</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.mbs.2018.11.001$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,45974</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/30399368$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Pinto, Carla M.A.</creatorcontrib><creatorcontrib>Carvalho, Ana R.M.</creatorcontrib><creatorcontrib>Tavares, João N.</creatorcontrib><title>Time-varying pharmacodynamics in a simple non-integer HIV infection model</title><title>Mathematical biosciences</title><addtitle>Math Biosci</addtitle><description>•the effect of time-varying drug exposure in HIV infected patients is studied in a fractional order model.•the slope of the dose-response curve, the drug’s half-life, and the dosing interval impact significantly the dynamics of the proposed model.•the order of the fractional derivative can be used to deepen the understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens.
In this paper we study the effect of time-varying drug exposure in the dynamics of a fractional order model for the human immunodeficiency virus infection. We compute the reproduction number of the model and verify the stability of the disease-free equilibrium. The model is simulated for parameters directly modelling the pharmacodynamics of HIV, namely the slope of the dose-response curve, the drug’s half-life, and the dosing interval. The later affect in a significant way the infection patterns. The order of the fractional derivative is also a key player of the model, adding more information, which could be useful for a deeper understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens.</description><subject>Computer simulation</subject><subject>Dosage</subject><subject>Fractional model</subject><subject>HIV</subject><subject>Human immunodeficiency virus</subject><subject>Infections</subject><subject>Pharmacodynamics</subject><subject>Pharmacology</subject><subject>Time-varying drug efficacy</subject><subject>Viruses</subject><issn>0025-5564</issn><issn>1879-3134</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kDtLBDEUhYMouj5-gI0M2NjMmDuZRwYrWXwsCDaLbcgkdzTLJFmTHWH_vZFVCwurW5zvHC4fIedAC6DQXK8K28eipMALgIJS2CMz4G2XM2DVPplRWtZ5XTfVETmOcZWAFqA5JEeMsq5jDZ-RxdJYzD9k2Br3mq3fZLBSeb110hoVM-MymUVj1yNmzrvcuA2-YsgeFy8pG1BtjHeZ9RrHU3IwyDHi2fc9Icv7u-X8MX96fljMb59yxThs8l610DDouK55BQhVjW3FGWjdNkrTrlIDUjl0ElFzbHo1tJTXg-qQSxiQnZCr3ew6-PcJ40ZYExWOo3TopyhKYJRTyqBK6OUfdOWn4NJzieJl1XY1rRMFO0oFH2PAQayDsUmIACq-NIuVSJrFl2YBIJLF1Ln4Xp56i_q38eM1ATc7AJOJD4NBRGXQKdQmJGlCe_PP_CeNnYzv</recordid><startdate>201901</startdate><enddate>201901</enddate><creator>Pinto, Carla M.A.</creator><creator>Carvalho, Ana R.M.</creator><creator>Tavares, João N.</creator><general>Elsevier Inc</general><general>Elsevier Science Ltd</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QL</scope><scope>7QO</scope><scope>7QP</scope><scope>7SN</scope><scope>7TK</scope><scope>7TM</scope><scope>7U9</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>H94</scope><scope>M7N</scope><scope>P64</scope><scope>RC3</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0002-0729-1133</orcidid></search><sort><creationdate>201901</creationdate><title>Time-varying pharmacodynamics in a simple non-integer HIV infection model</title><author>Pinto, Carla M.A. ; Carvalho, Ana R.M. ; Tavares, João N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-bc7163198d5841e145e74831dd76cd094cfe0af9aeed8e6bcf7085fc9e8a1fe3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Computer simulation</topic><topic>Dosage</topic><topic>Fractional model</topic><topic>HIV</topic><topic>Human immunodeficiency virus</topic><topic>Infections</topic><topic>Pharmacodynamics</topic><topic>Pharmacology</topic><topic>Time-varying drug efficacy</topic><topic>Viruses</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pinto, Carla M.A.</creatorcontrib><creatorcontrib>Carvalho, Ana R.M.</creatorcontrib><creatorcontrib>Tavares, João N.</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Bacteriology Abstracts (Microbiology B)</collection><collection>Biotechnology Research Abstracts</collection><collection>Calcium & Calcified Tissue Abstracts</collection><collection>Ecology Abstracts</collection><collection>Neurosciences Abstracts</collection><collection>Nucleic Acids Abstracts</collection><collection>Virology and AIDS Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>Algology Mycology and Protozoology Abstracts (Microbiology C)</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>Genetics Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>Mathematical biosciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pinto, Carla M.A.</au><au>Carvalho, Ana R.M.</au><au>Tavares, João N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Time-varying pharmacodynamics in a simple non-integer HIV infection model</atitle><jtitle>Mathematical biosciences</jtitle><addtitle>Math Biosci</addtitle><date>2019-01</date><risdate>2019</risdate><volume>307</volume><spage>1</spage><epage>12</epage><pages>1-12</pages><issn>0025-5564</issn><eissn>1879-3134</eissn><abstract>•the effect of time-varying drug exposure in HIV infected patients is studied in a fractional order model.•the slope of the dose-response curve, the drug’s half-life, and the dosing interval impact significantly the dynamics of the proposed model.•the order of the fractional derivative can be used to deepen the understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens.
In this paper we study the effect of time-varying drug exposure in the dynamics of a fractional order model for the human immunodeficiency virus infection. We compute the reproduction number of the model and verify the stability of the disease-free equilibrium. The model is simulated for parameters directly modelling the pharmacodynamics of HIV, namely the slope of the dose-response curve, the drug’s half-life, and the dosing interval. The later affect in a significant way the infection patterns. The order of the fractional derivative is also a key player of the model, adding more information, which could be useful for a deeper understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens.</abstract><cop>United States</cop><pub>Elsevier Inc</pub><pmid>30399368</pmid><doi>10.1016/j.mbs.2018.11.001</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-0729-1133</orcidid></addata></record> |
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| source | Elsevier ScienceDirect Journals |
| subjects | Computer simulation Dosage Fractional model HIV Human immunodeficiency virus Infections Pharmacodynamics Pharmacology Time-varying drug efficacy Viruses |
| title | Time-varying pharmacodynamics in a simple non-integer HIV infection model |
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