Computational techniques to monitoring fractional order type-1 diabetes mellitus model for feedback design of artificial pancreas

IF 4.9 2区 医学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computer methods and programs in biomedicine Pub Date : 2024-09-14 DOI:10.1016/j.cmpb.2024.108420
Muhammad Farman , Ali Hasan , Changjin Xu , Kottakkaran Sooppy Nisar , Evren Hincal
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Abstract

Background and objectives:

In this paper, we developed a significant class of control issues regulated by nonlinear fractal order systems with input and output signals, our goal is to design a direct transcription method with impulsive instant order. Recent advances in the artificial pancreas system provide an emerging treatment option for type 1 diabetes. The performance of the blood glucose regulation directly relies on the accuracy of the glucose-insulin modeling. This work leads to the monitoring and assessment of comprehensive type-1 diabetes mellitus for controller design of artificial panaceas for the precision of the glucose-insulin glucagon in finite time with Caputo fractional approach for three primary subsystems.

Methods:

For the proposed model, we admire the qualitative analysis with equilibrium points lying in the feasible region. Model satisfied the biological feasibility with the Lipschitz criteria and linear growth is examined, considering positive solutions, boundedness and uniqueness at equilibrium points with Leray–Schauder results under time scale ideas. Within each subsystem, the virtual control input laws are derived by the application of input to state theorems and Ulam Hyers Rassias.

Results:

Chaotic Relation of Glucose insulin glucagon compartmental in the feasible region and stable in finite time interval monitoring is derived through simulations that are stable and bounded in the feasible regions. Additionally, as blood glucose is the only measurable state variable, the unscented power-law kernel estimator appropriately takes into account the significant problem of estimating inaccessible state variables that are bound to significant values for the glucose-insulin system. The comparative results on the simulated patients suggest that the suggested controller strategy performs remarkably better than the compared methods.

Conclusion:

In the model under investigation, parametric uncertainties are identified since the glucose, insulin, and glucagon system’s parameters are accurately measured numerically at different fractional order values. In terms of algorithm resilience and Caputo tracking in the presence of glucagon and insulin intake disturbance to maintain the glucose level. A comprehensive analysis of numerous difficult test issues is conducted in order to offer a thorough justification of the planned strategy to control the type 1 diabetes mellitus with designed the artificial pancreas.

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监测分数阶 1 型糖尿病模型的计算技术,用于人工胰腺的反馈设计
背景和目标:本文提出了一类重要的控制问题,即由输入和输出信号的非线性分形阶系统调节的控制问题,我们的目标是设计一种具有脉冲瞬时阶的直接转录方法。人工胰腺系统的最新进展为 1 型糖尿病提供了一种新兴的治疗方案。血糖调节的性能直接依赖于葡萄糖-胰岛素模型的准确性。这项工作有助于对 1 型糖尿病进行全面监测和评估,从而利用卡普托分数法对三个主要子系统的葡萄糖-胰岛素-胰高血糖素在有限时间内的精确性进行人工胰腺控制器设计。根据 Lipschitz 准则和线性增长研究了模型的生物可行性,考虑了正解、平衡点的有界性和唯一性以及时间尺度思想下的 Leray-Schauder 结果。在每个子系统中,通过应用输入到状态定理和 Ulam Hyers Rassias,得出虚拟控制输入定律。结果:通过模拟得出葡萄糖胰岛素胰高血糖素在可行区域内的分区混沌关系,并在有限时间间隔监测中保持稳定,在可行区域内稳定且有界。此外,由于血糖是唯一可测量的状态变量,无香味幂律核估计器恰当地考虑到了估计葡萄糖-胰岛素系统中绑定为重要值的不可获取状态变量这一重大问题。对模拟患者的比较结果表明,所建议的控制器策略的性能明显优于其他比较方法。结论:在所研究的模型中,由于葡萄糖、胰岛素和胰高血糖素系统的参数在不同分数阶值上都经过了精确的数值测量,因此可以确定参数的不确定性。在存在胰高血糖素和胰岛素摄入干扰的情况下,从算法弹性和卡普托跟踪的角度来维持血糖水平。对许多棘手的测试问题进行了全面分析,以便为利用设计的人工胰腺控制 1 型糖尿病的计划战略提供充分的理由。
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来源期刊
Computer methods and programs in biomedicine
Computer methods and programs in biomedicine 工程技术-工程:生物医学
CiteScore
12.30
自引率
6.60%
发文量
601
审稿时长
135 days
期刊介绍: To encourage the development of formal computing methods, and their application in biomedical research and medical practice, by illustration of fundamental principles in biomedical informatics research; to stimulate basic research into application software design; to report the state of research of biomedical information processing projects; to report new computer methodologies applied in biomedical areas; the eventual distribution of demonstrable software to avoid duplication of effort; to provide a forum for discussion and improvement of existing software; to optimize contact between national organizations and regional user groups by promoting an international exchange of information on formal methods, standards and software in biomedicine. Computer Methods and Programs in Biomedicine covers computing methodology and software systems derived from computing science for implementation in all aspects of biomedical research and medical practice. It is designed to serve: biochemists; biologists; geneticists; immunologists; neuroscientists; pharmacologists; toxicologists; clinicians; epidemiologists; psychiatrists; psychologists; cardiologists; chemists; (radio)physicists; computer scientists; programmers and systems analysts; biomedical, clinical, electrical and other engineers; teachers of medical informatics and users of educational software.
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