Kontrol Optimal Gula Darah Pada Penderita Diabetes Tipe-1 Dengan Linear Quadratic Regulator

Piwulangsih, Palupi (2023) Kontrol Optimal Gula Darah Pada Penderita Diabetes Tipe-1 Dengan Linear Quadratic Regulator. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Diabetes Melitus didefinisikan sebagai penyakit atau gangguan metabolisme kronis yang ditandai dengan terjadinya peningkatan kadar glukosa darah disertai gangguan metabolisme karbohidrat, lemak, dan protein akibat kekurangan insulin. Pengobatan bagi penderita diabetes biasanya dilakukan dengan mengonsumsi obat-obatan dan memberikan suntik insulin untuk mempertahankan kadar glukosa darah yang stabil dan mendekati keadaan normal. Penelitian ini menjelaskan cara bagaimana mengendalikan kadar glukosa dalam darah agar berada pada interval yang diinginkan yaitu 3, 3 − 5, 6 mmol/L. Pada penelitian ini, dibahas suatu metode pengendalian kadar glukosa darah dalam rentang normal pada penderita Diabetes Melitus Tipe-1 yang diselesaikan menggunakan sistem Linear Quadratic Regulator dengan model glukosa darah Ackerman sebagai representasi. Pada penelitian ini digunakan Model glukosa darah Ackerman dengan menerapkan satu kontrol yaitu insulin dan dua variabel keadaan yaitu kadar glukosa darah dan pengaruh insulin di dalam tubuh. Model matematika yang dikonstruksi meminimumkan fungsi objektif berupa penyimpangan kadar glukosa darah dari kadar yang diinginkan dan kadar insulin yang diberikan kepada pasien penderita Diabetes Melitus Tipe-1. Kadar glukosa darah yang diperoleh dari penyelesaian dengan sistem Linear Quadratic Regulator merupakan kadar glukosa darah yang optimal yang diperoleh dengan kadar insulin yang minimum.
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Diabetes Mellitus is defined as a disease or chronic metabolic disorder characterized by an increase in blood glucose levels accompanied by metabolic disorders of carbohydrates, fats, and proteins due to insulin deficiency. Treatment for diabetics is usually done by taking medications and giving insulin injections to maintain stable blood glucose levels close to normal. This study explains how to control blood glucose levels to be in the desired interval of 3.3−5.6mmol/L. In this research, a method of controlling blood glucose levels within the normal range in patients with Type-1 Diabetes Mellitus is discussed, which is solved using a system of Linear Quadratic Regulator with Ackerman’s blood glucose model as a representation. In this study, Ackerman’s blood glucose model is used by applying one control, namely insulin and two state variables, namely blood glucose levels and the effect of insulin in the body. The constructed mathematical model minimizes the objective function in the form of deviations of blood glucose levels from the desired levels and insulin levels given to patients with Type-1 Diabetes Mellitus. The blood glucose level obtained from the solution with the Linear Quadratic Regulator system is the optimal blood glucose level obtained with the minimum insulin level.

Item Type:	Thesis (Other)
Uncontrolled Keywords:	Diabetes Melitus, Linear Quadratic Regulator, Insulin
Subjects:	Q Science > QA Mathematics > QA184 Algebra, Linear
Divisions:	Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User:	Palupi Piwulangsih
Date Deposited:	06 Sep 2023 08:04
Last Modified:	06 Sep 2023 08:04
URI:	http://repository.its.ac.id/id/eprint/104203

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