dorsal/arxiv
View SchemaIncubation periods under various anti-retroviral therapies in homogeneous mixing and age-structured dynamical models: A theoretical approach
| Authors | Arni S. R. Srinivasa Rao |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608028 |
| URL | https://arxiv.org/abs/q-bio/0608028 |
| DOI | 10.1216/RMJ-2015-45-3-973 |
| Journal | Rocky Mountain Journal of Mathematics, (2015), 45, 3: 973-1031 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
With the launch of second line anti-retroviral therapy for HIV infected individuals, there has been an increased expectation on surviving period of people with HIV. We consider previously well-known models in HIV epidemiology where the parameter for incubation period is used as one of the important components to explain the dynamics of the variables. Such models are extended here to explain the dynamics with respect to a given therapy that prolongs life of an HIV infected individual. A deconvolution method is demonstrated for estimation of parameters in the situations when no-therapy and multiple therapies are given to the infected population. The models and deconvolution method are extended in order to study the impact of therapy in age-structured populations. A generalization for a situation when n-types of therapies are available is given. Models are demonstrated using hypothetical data and sensitivity of the parameters are also computed.
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"abstract": "With the launch of second line anti-retroviral therapy for HIV infected\nindividuals, there has been an increased expectation on surviving period of\npeople with HIV. We consider previously well-known models in HIV epidemiology\nwhere the parameter for incubation period is used as one of the important\ncomponents to explain the dynamics of the variables. Such models are extended\nhere to explain the dynamics with respect to a given therapy that prolongs life\nof an HIV infected individual. A deconvolution method is demonstrated for\nestimation of parameters in the situations when no-therapy and multiple\ntherapies are given to the infected population. The models and deconvolution\nmethod are extended in order to study the impact of therapy in age-structured\npopulations. A generalization for a situation when n-types of therapies are\navailable is given. Models are demonstrated using hypothetical data and\nsensitivity of the parameters are also computed.",
"arxiv_id": "q-bio/0608028",
"authors": [
"Arni S. R. Srinivasa Rao"
],
"categories": [
"q-bio.QM",
"math.PR",
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],
"doi": "10.1216/RMJ-2015-45-3-973",
"journal_ref": "Rocky Mountain Journal of Mathematics, (2015), 45, 3: 973-1031",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Incubation periods under various anti-retroviral therapies in homogeneous mixing and age-structured dynamical models: A theoretical approach",
"url": "https://arxiv.org/abs/q-bio/0608028"
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