Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes
Type 1 diabetics must inject exogenous insulin or insulinanalogues one or more times daily. The timing and dosage ofinsulin administration have been a critical research area sincethe invention of insulin analogues. Several pharmacokineticalmodels have been proposed, and some are applied clinically i...
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AIMS Press
2008-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.41 |
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| author | Jiaxu Li Yang Kuang |
| author_facet | Jiaxu Li Yang Kuang |
| author_sort | Jiaxu Li |
| collection | DOAJ |
| description | Type 1 diabetics must inject exogenous insulin or insulinanalogues one or more times daily. The timing and dosage ofinsulin administration have been a critical research area sincethe invention of insulin analogues. Several pharmacokineticalmodels have been proposed, and some are applied clinically inmodeling various insulin therapies. However, their plasma insulinconcentration must be computed separately from the models' output.Furthermore, minimal analytical study was performed in theseexisting models. We propose two systemic and simplified ordinarydifferential equation models to model the subcutaneous injectionof rapid-acting insulin analogues and long-acting insulinanalogues, respectively. Our models explicitly model the plasmainsulin and hence have the advantage of computing the plasmainsulin directly. The profiles of plasma insulin concentrationsobtained from these two models are in good agreement with theexperimental data. We also study the dynamics of insulinanalogues, plasma insulin concentrations, and, in particular, theshape of the dynamics of plasma insulin concentrations. |
| format | Article |
| id | doaj-art-8ff5637668db42ddb06638e26ea07a6c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-8ff5637668db42ddb06638e26ea07a6c2025-01-24T01:58:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-11-0161415810.3934/mbe.2009.6.41Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetesJiaxu Li0Yang Kuang1Department of Mathematics, University of Louisville, Louisville KY 40292Department of Mathematics, University of Louisville, Louisville KY 40292Type 1 diabetics must inject exogenous insulin or insulinanalogues one or more times daily. The timing and dosage ofinsulin administration have been a critical research area sincethe invention of insulin analogues. Several pharmacokineticalmodels have been proposed, and some are applied clinically inmodeling various insulin therapies. However, their plasma insulinconcentration must be computed separately from the models' output.Furthermore, minimal analytical study was performed in theseexisting models. We propose two systemic and simplified ordinarydifferential equation models to model the subcutaneous injectionof rapid-acting insulin analogues and long-acting insulinanalogues, respectively. Our models explicitly model the plasmainsulin and hence have the advantage of computing the plasmainsulin directly. The profiles of plasma insulin concentrationsobtained from these two models are in good agreement with theexperimental data. We also study the dynamics of insulinanalogues, plasma insulin concentrations, and, in particular, theshape of the dynamics of plasma insulin concentrations.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.41subcutaneous injectionglucosedimerhexamerinsulin analoguemonomer |
| spellingShingle | Jiaxu Li Yang Kuang Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes Mathematical Biosciences and Engineering subcutaneous injection glucose dimer hexamer insulin analogue monomer |
| title | Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes |
| title_full | Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes |
| title_fullStr | Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes |
| title_full_unstemmed | Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes |
| title_short | Systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes |
| title_sort | systemically modeling the dynamics of plasma insulin insubcutaneous injection of insulin analogues for type 1 diabetes |
| topic | subcutaneous injection glucose dimer hexamer insulin analogue monomer |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.41 |
| work_keys_str_mv | AT jiaxuli systemicallymodelingthedynamicsofplasmainsulininsubcutaneousinjectionofinsulinanaloguesfortype1diabetes AT yangkuang systemicallymodelingthedynamicsofplasmainsulininsubcutaneousinjectionofinsulinanaloguesfortype1diabetes |