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All Journal JRST (Jurnal Riset Sains dan Teknologi) JITK (Jurnal Ilmu Pengetahuan dan Komputer) JMM (Jurnal Masyarakat Mandiri) Jurnal Matematika UNAND International Journal of Advances in Data and Information Systems Jurnal Abdimas Ilmiah Citra Bakti (JAICB) Jurnal Teknik Informatika (JUTIF) JURPIKAT (Jurnal Pengabdian Kepada Masyarakat) Jurnal EduHealth Jurnal Pengabdian Masyarakat : Pemberdayaan, Inovasi dan Perubahan Jurnal Hilirisasi Technology kepada Masyarakat (SITECHMAS) Jurnal Masyarakat Madani Indonesia eProceedings of Engineering Journal of Technology and Food Processing (JTFP) Kenduri: Jurnal Pengabdian Dan Pemberdayaan Masyarakat Jurnal Ecotipe (Electronic, Control, Telecommunication, Information, and Power Engineering) Folia Medica Indonesiana
Adanti Wido Paramadini
Universitas Telkom
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Journal : Jurnal Matematika UNAND

 1 
OPTIMAL BLOOD GLUCOSE CONTROL IN TYPE 1 DIABETIC PATIENTS BY USING PONTRYAGIN’S MINIMUM PRINCIPLE AND EXTENDED KALMAN FILTER Sa'adah, Aminatus; Paramadini, Adanti Wido
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.117-128.2025

Abstract

Artificial Pancreas (AP) is an advanced diabetes management technology. AP requires an automatic control algorithm to determine the level of insulin injection based on the glucose level calculated on the Continuous Glucose Monitoring (CGM) sensor. Bergman Minimal Model (BMM) is a basic model in describing the dynamics of glucose-insulin in the human body. This study aims to determine the optimal control using Pontryagin’s Minimum Principle (PMP), which is subject to reducing glucose levels in type 1 diabetes patients to be within the normal glucose level interval of 80-120 mg/dL. The BMM parameter values will be estimated using EKF to support the acquisition of precise and personal numerical simulations. Based on the control de sign simulation that has been obtained, the optimal control of insulin injection is given maximally (25 mU/L) during the first two hours of observation; then, the level decreases slowly until it reaches 0 at 12 hours of observation. This scenario successfully reduces the patient’s glucose levels at the end of the observation period from 170.4 mg/dL (with out control) to 121.2 mg/dL. This result providing a confident basis for initial future research and development in diabetes management.
Co-Authors Afifah Zen, Nur Afrianto, Arman Ajeng Dyah Kurniawati Al Faiz, M. Hanif Alfin Hikmaturokhman An-Naayif, Hanief Taqiyuddien Adz-Dzaky Awaludin, Muhammad Tata Briliana, Carlita Wahyu Dading Qolbu Adi Dasril Aldo Dedy Agung Prabowo Dian Maharani Dyah Kurniawati, Ajeng Faiz, M. Hanif Al Faizah Faizah Faizah Faizah Faizah Fathan, Faizal Burhani Ulil Fau, Andrew Fiqrian, Muhammad Nafal Firmansyah, Muhammad Raafi'u Fitranaya Arlian Fitriawan, Taufiq Gusnita Linda Haibah, Wulan Nawwar Harald Riandi Rantetana Purukan Hidayat, Afifah Naurah Ida Saroya, Nikita Ihsan Maulana Ilwan Syafrinal Indah Permatasari Irmayatul Hikmah Isfandiary, Andini Jabbar, Hajria Juan Timotius Prasetya, Yosafat Lina Fatimah Lishobrina M Yoka Fathoni Maharani, Salwa Tegar Cahaya Mahazam Afrad Marsaly, Silvia Van Maulana, Ihsan Miftahul Ilmi Muadin, Dika Alim Muhammad Afrizal Amrustian Muhammad Nazmi Al Faiz Muhammad Tata Awaludin Muhammad Zaky Mubarok Mulyana, Wimar Ardhi Muzakiyah, Lukvinda Asfi Nurpriyanto, Bagus Satria Nurul Latifasari Nyimas Ananda Putri Mulyono Oktavia, Laksmi Dwi Pamuji, Yanuar Ikhsan Pratama, Rizal Wahyu Prihartini Widiyanti Putri Anjani, Isabella Putri, Dina Kartika Sa'adah, Aminatus Salsabila, Luciana Santoso, Dimas Sapta Eka Putra Sevia Indah Purnama Silvia Van Marsally Silvia Van Marsally Suci Rahma Sari, Deli Sulaeman, Gilang Sumarsini, Erin Suprapto, Amelia Rut Ulumiddiin, Ichya Uzlifatul Arridla, Putri Wijaya, Rheynaldi Yasin, Feri Yohani Setiya Rafika Nur Yoka Fathoni, M.