A Simulation Model for the Dynamics of a Population of Diabetics with and without Complications Using Optimal Control

Boutayeb, Wiam; Derouich, Mohamed; Boutayeb, Abdesslam; Derouich, Mohammed

doi:10.1007/978-3-319-16483-0_57

Cited by 9 publications

(5 citation statements)

References 9 publications

(6 reference statements)

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“…Type 2 diabetes mellitus (T2DM) is now causing an epidemic across the globe [ 6 ]. According to the International Diabetes Federation (IDF), about five million people died worldwide in 2015 because of diabetes and its complications [ 7 ]. T1DM prevalence is rapidly increasing, as is the incidence of T2DM among younger people.…”

Section: Introductionmentioning

confidence: 99%

A Review on Autonomic Functional Assessment in Diabetic Patients

Rukadikar¹,

Rukadikar²,

Kishore³

2023

Cureus

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In today's world, science has progressed significantly, yet most people are still unaware of diabetes. Lack of obesity, physical work, and lifestyle changes are the main factors. Diabetes is becoming more common all around the globe. Type 2 diabetes may go unnoticed for years, resulting in serious consequences and high healthcare expenses. The goal of this study is to look at a wide range of studies in which the autonomic function of diabetic people has been studied with the help of various autonomic function tests (AFTs). AFT is a non-invasive approach to assessing patients for testing sympathetic and parasympathetic responses to stimuli. AFT findings give us comprehensive knowledge of the autonomic physiology reactions in normal and in autonomic diseases like diabetes. This review will concentrate on AFTs that are scientifically valid, trustworthy, and clinically beneficial, according to experts.

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Section: Introductionmentioning

confidence: 99%

A Review on Autonomic Functional Assessment in Diabetic Patients

Rukadikar¹,

Rukadikar²,

Kishore³

2023

Cureus

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“…In 2021, Avendaño-Valencia et al [13] developed a video-based eye-tracking method with the help of a Heteroscedastic Auto-Regressive with eXogeneous input model for detection of diabetes complications associated with the nervous system. Some of the previous diabetic population models were governed by ordinary differential equations [14][15][16][17][18][19][20][21]. These ordinary differential equations models considered the progression of diabetes instantaneously.…”

Section: Introductionmentioning

confidence: 99%

A time-delay model of diabetic population: Dynamics analysis, sensitivity, and optimal control

Nasir¹

2021

Phys. Scr.

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Diabetes, also known as diabetes mellitus, is a chronic degenerative disease with a variety of adverse complications. Due to its slow progression, a mathematical model of the diabetic population with time lag is developed. This novel study aims to analyze the stability of the diabetic equilibrium and also formulate an optimal control problem with lags. We show that under some values of parameters, a limit cycle arises through Hopf bifurcation. Sensitivity analysis, which used the direct differential method, reveals which parameters have a major impact on the model dynamics. An optimal control strategy is developed with two control variables for the description of the control strategy. A suitable objective function is formulated to minimize the total number of diabetics and the relative cost of implementing the controls. The resulting optimality system is solved numerically by using the Forward-Backward Sweep Method. Graphical results are examined with different parameter values and are compared with and without controls. The total number of diabetics continued to increase without controls, but the number of these individuals decreased after control. The optimal controls prevent the progression of diabetes complications by awareness, education, and medical care at the least cost.

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“…The equilibrium point of the model indicates the influential parameters that can be controlled to address the issue. Also, many researches have focused on this topic and other related topics [7][8][9]16,[20][21][22].…”

Section: Introductionmentioning

confidence: 99%