A linear control of composite model for glucose insulin glucagon pump

Presently Type 1 diabetes is global issue and challenges for diabetes public for healthy life. Fully automatic artificial pancreas is well solution for diabetic patients to avoid the hyperglycemia/hypoglycemia as it provided the insulin/glucose when needed. A composite model of Glucagon-Glucose Dyna...

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Main Authors:	Muhammad Farman, Muhammad Umer Saleem, M.F Tabassum, Aqeel Ahmad, M.O. Ahmad
Format:	Article
Language:	English
Published:	Elsevier 2019-12-01
Series:	Ain Shams Engineering Journal
Online Access:	http://www.sciencedirect.com/science/article/pii/S2090447919300590

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spelling	doaj-011f86d8a5e44231b5fbf2f2b1ee20e72021-06-02T06:27:25ZengElsevierAin Shams Engineering Journal2090-44792019-12-01104867872A linear control of composite model for glucose insulin glucagon pumpMuhammad Farman0Muhammad Umer Saleem1M.F Tabassum2Aqeel Ahmad3M.O. Ahmad4Department of Mathematics, University of Lahore, Pakistan; Corresponding author.Department of Mathematics DS&T, University of education, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, University of Lahore, PakistanDepartment of Mathematics, University of Lahore, PakistanPresently Type 1 diabetes is global issue and challenges for diabetes public for healthy life. Fully automatic artificial pancreas is well solution for diabetic patients to avoid the hyperglycemia/hypoglycemia as it provided the insulin/glucose when needed. A composite model of Glucagon-Glucose Dynamics is treated for type 1 diabetes mellitus to check the linear controllability and observability of the model and the stability analysis by using Lyapunov function. Two cases are discussed in system according to the input. For case I, Insulin as the input only and glucose as an output and in case II insulin and glucagon as an input and glucose as output only. A control system can only be used in the form of closed-loop control to stabilize the system. This may be show vital part in the progress of fully automatic artificial pancreas and stabilize the control loop system for the Glucose Insulin Glucagon pump. Keywords: Controllability, Observability, Diabetes mellitus, Artificial pancreas, Lyapunov function, Stability analysishttp://www.sciencedirect.com/science/article/pii/S2090447919300590
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Muhammad Farman Muhammad Umer Saleem M.F Tabassum Aqeel Ahmad M.O. Ahmad
spellingShingle	Muhammad Farman Muhammad Umer Saleem M.F Tabassum Aqeel Ahmad M.O. Ahmad A linear control of composite model for glucose insulin glucagon pump Ain Shams Engineering Journal
author_facet	Muhammad Farman Muhammad Umer Saleem M.F Tabassum Aqeel Ahmad M.O. Ahmad
author_sort	Muhammad Farman
title	A linear control of composite model for glucose insulin glucagon pump
title_short	A linear control of composite model for glucose insulin glucagon pump
title_full	A linear control of composite model for glucose insulin glucagon pump
title_fullStr	A linear control of composite model for glucose insulin glucagon pump
title_full_unstemmed	A linear control of composite model for glucose insulin glucagon pump
title_sort	linear control of composite model for glucose insulin glucagon pump
publisher	Elsevier
series	Ain Shams Engineering Journal
issn	2090-4479
publishDate	2019-12-01
description	Presently Type 1 diabetes is global issue and challenges for diabetes public for healthy life. Fully automatic artificial pancreas is well solution for diabetic patients to avoid the hyperglycemia/hypoglycemia as it provided the insulin/glucose when needed. A composite model of Glucagon-Glucose Dynamics is treated for type 1 diabetes mellitus to check the linear controllability and observability of the model and the stability analysis by using Lyapunov function. Two cases are discussed in system according to the input. For case I, Insulin as the input only and glucose as an output and in case II insulin and glucagon as an input and glucose as output only. A control system can only be used in the form of closed-loop control to stabilize the system. This may be show vital part in the progress of fully automatic artificial pancreas and stabilize the control loop system for the Glucose Insulin Glucagon pump. Keywords: Controllability, Observability, Diabetes mellitus, Artificial pancreas, Lyapunov function, Stability analysis
url	http://www.sciencedirect.com/science/article/pii/S2090447919300590
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A linear control of composite model for glucose insulin glucagon pump

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