Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon.
The Glucose-Insulin-Glucagon nonlinear model accurately describes how the body responds to exogenously supplied insulin and glucagon in patients affected by Type I diabetes. Based on this model, we design infusion rates of either insulin (monotherapy) or insulin and glucagon (dual therapy) that can...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2019-01-01
|
| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0213665 |
| _version_ | 1819017505564262400 |
|---|---|
| author | Afroza Shirin Fabio Della Rossa Isaac Klickstein John Russell Francesco Sorrentino |
| author_facet | Afroza Shirin Fabio Della Rossa Isaac Klickstein John Russell Francesco Sorrentino |
| author_sort | Afroza Shirin |
| collection | DOAJ |
| description | The Glucose-Insulin-Glucagon nonlinear model accurately describes how the body responds to exogenously supplied insulin and glucagon in patients affected by Type I diabetes. Based on this model, we design infusion rates of either insulin (monotherapy) or insulin and glucagon (dual therapy) that can optimally maintain the blood glucose level within desired limits after consumption of a meal and prevent the onset of both hypoglycemia and hyperglycemia. This problem is formulated as a nonlinear optimal control problem, which we solve using the numerical optimal control package [Formula: see text]. Interestingly, in the case of monotherapy, we find the optimal solution is close to the standard method of insulin based glucose regulation, which is to assume a variable amount of insulin half an hour before each meal. We also find that the optimal dual therapy (that uses both insulin and glucagon) is better able to regulate glucose as compared to using insulin alone. We also propose an ad-hoc rule for both the dosage and the time of delivery of insulin and glucagon. |
| first_indexed | 2024-12-21T03:04:36Z |
| format | Article |
| id | doaj.art-57b23590b7d94110b30fea9f8b02e317 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-21T03:04:36Z |
| publishDate | 2019-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-57b23590b7d94110b30fea9f8b02e3172022-12-21T19:18:06ZengPublic Library of Science (PLoS)PLoS ONE1932-62032019-01-01143e021366510.1371/journal.pone.0213665Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon.Afroza ShirinFabio Della RossaIsaac KlicksteinJohn RussellFrancesco SorrentinoThe Glucose-Insulin-Glucagon nonlinear model accurately describes how the body responds to exogenously supplied insulin and glucagon in patients affected by Type I diabetes. Based on this model, we design infusion rates of either insulin (monotherapy) or insulin and glucagon (dual therapy) that can optimally maintain the blood glucose level within desired limits after consumption of a meal and prevent the onset of both hypoglycemia and hyperglycemia. This problem is formulated as a nonlinear optimal control problem, which we solve using the numerical optimal control package [Formula: see text]. Interestingly, in the case of monotherapy, we find the optimal solution is close to the standard method of insulin based glucose regulation, which is to assume a variable amount of insulin half an hour before each meal. We also find that the optimal dual therapy (that uses both insulin and glucagon) is better able to regulate glucose as compared to using insulin alone. We also propose an ad-hoc rule for both the dosage and the time of delivery of insulin and glucagon.https://doi.org/10.1371/journal.pone.0213665 |
| spellingShingle | Afroza Shirin Fabio Della Rossa Isaac Klickstein John Russell Francesco Sorrentino Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon. PLoS ONE |
| title | Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon. |
| title_full | Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon. |
| title_fullStr | Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon. |
| title_full_unstemmed | Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon. |
| title_short | Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon. |
| title_sort | optimal regulation of blood glucose level in type i diabetes using insulin and glucagon |
| url | https://doi.org/10.1371/journal.pone.0213665 |
| work_keys_str_mv | AT afrozashirin optimalregulationofbloodglucoselevelintypeidiabetesusinginsulinandglucagon AT fabiodellarossa optimalregulationofbloodglucoselevelintypeidiabetesusinginsulinandglucagon AT isaacklickstein optimalregulationofbloodglucoselevelintypeidiabetesusinginsulinandglucagon AT johnrussell optimalregulationofbloodglucoselevelintypeidiabetesusinginsulinandglucagon AT francescosorrentino optimalregulationofbloodglucoselevelintypeidiabetesusinginsulinandglucagon |