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Journal : Edumatsains

Analysis of Tuberculosis (TB) Case Patterns Using the Hurst Exponent Fractal Dimension Method in North Sumatra Maya Sari; Ismail Husein
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 9 No 1 (2024): July
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v9i1.5964

Abstract

Tuberculosis is a chronic infectious disease caused by Mycobacterium tuberculosis. This bacteria is commonly known as Acid Resistant Bacilli (BTA). The Hurst Exponent Fractal Dimension method was used in this work to identify the properties of time series data and fractal patterns in tuberculosis (TB) patients. The Hurst exponent method is calculated by the smallest prime factor that divides the data (pi). This fractal dimension's value is calculated using the Hurst exponent value. Time series data is classified into three groups depending on computation results: random, anti-persistence, and persistence. In the study, three data ranges (n) were obtained from the observed data, namely tuberculosis (TB) patients from July to December 2023 (174, 87, and 29). The value of the Hurst exponent obtained was 0,475 (0<H<0,5) and the value of the fractal dimension obtained was 1,525 (1,5<H<2). Based at the Hurst exponent value and fractal dimension fee, it indicates that the records is anti-persistence. Anti-persistence means that the time series data of cases of tuberculosis (TB) patients which if the data increases at one time, it tends to decrease at the next time and if the data decreases at one time, it tends to increase at the next time.
Co-Authors Abdi, Hamdan Achyar Zein, Achyar Adella Aulia Mukti Adrya, M Rifqi Agusmanto J.B. Hutauruk Al Rizky, Muhammad Furqan Anandara, Aurelia Andayani Andini, Qonita Putri Anggi Nurmala Anggraini, Arizka Anggreini, Yopie Puspita Arianti, Mei Yunina Arya Impun Diapari Lubis Astuti, Widya Tantri atika nadila Aulia, Nurissa Ayunda, Afrila Azura, Maudya Nur Azura, Silva Batubara, Nuriman Astuti Cindy Artika Cipta, Hendra Dalimunthe, Riska Aulia Dedy Juliandri Panjaitan Dewi, Ratna Sri Dewi, taslima Dinda Chairani Ditta Arsyilviasari Dur, Sajaratud Dur, Sajaratud Dur, Sajaratud Dur, Sajaratud Dwi Anggraini Dwi Lestari, Riani Efriliya Hafni Yuswinda Elis, Elis Citra Eliza, Novi Eva Yuliani Fadhillah, Nurul Faigle, Ulrich Faigle, Ulrich Fatharani Syahfitri Febrianti, Zelika Febriyanti, Chairina Fransiska, Sintia Frischa, Ledya Hanifah Dara Puspita Hanum, Syarifah Harahap, M. Rivan Febriansyah Harahap, Tramilta Salsabila Hasibuan, Hani Maulida Hendra Cipta Heni Pujiastuti Hidayah, Mega Nur Hsb, Sumawiyah Hutauruk, Agusmanto Ikhsan, Ramadhani Al Ilka Zufria Indah Hatika Lubis Indra Jaya Indra Jaya Intan Irfanilia Jihan Adelia Nasution Jumiati, Ety Junita Fadilah Jusmita Weriza Karadeniz, Ahmet Serdar Karadeniz, Mehmet Fatih Khairan marzuki Khairina Khairina, Khairina Khairul Purqon Khairun Nikmah Khairun Nisa Khoiriah Syahfitri Lingga, Eva Ridya Wanti Lubis, Arya Impun Diapari M Fakhariza M. Abdul Rizki Marwan Marwan Maya Sari Maysarah, Maysarah Mhd Ikhsan Rifki Mhd. Joni Marpaung Mingka, Muhammad Farhan Mutiara Amanda Nafila Zendhia Ulhaq Nasution, Hamidah Nasution, Hamidah Nasution, Hamidah . Nasution, Yanisa Noranizamardia Noranizamardia Novianti Nuhrul Huda, Ella Nur Aisyah Nur Atsilah Hasibuan Nur Hafizah Nuraini Ade Putri Lubis Nurul Huda Prasetya Nurul Khoiriah Hasibuan Ong, Aldi Maulana Pane, Maahfuzha Pane, Mahfuzha Panjaitan, Adelia Nopiazinda Br Panjaitan, Rio Anggara Pasaribu, Sarif Muda Pasya, Aulia Mumtazah Pratidina, Maulia Puan Salwa Afifah Putri Harahap, Riska Evita Putri Nilam Sari Rahayu, Atika Rahma Utami Rahmadani, Artika Rahmat Hutapea Rakhmawati, Fibri Rakhmawati, Fibri Riezky Meiliza Rifki, Mhd Ikhsan Rima Aprilia Rima Aprilia Rima Aprilia Rima Aprilia Rina Filia Sari Rina Filia Sari Rina Filia Sari Rina Filia Sari, Rina Filia Rina Widya Sari Rina Widyasari Rina Widyasari Rina Widyasari Rina Widyasari Riningsih, Novia Rinjani, Nazwa Riri Syafitri Lubis Ritonga, Muhammad Iqbal Rizka Ramadani Sam Rizky, Fadhlan Roshihan Mawazzi Lubis RR. Ella Evrita Hestiandari Sabrina, Ladia Sabrina, Ladia Sajaratud Dur Sajaratud Dur Sajaratud Dur, Sajaratud Saputri, Ika Junia Saragih, Dewi Kentri Sari, Dinda Permata Sari, Linda Kumala Sari, Rina Filia Sari, Rina Widya Seprina, Dita Shedriko, Shedriko Siahaan, Maharani Putri Adam sihombing, dame ifa Sihombing, Dame Ifa Sinaga, Husnia Amro Br Sirait, Nurul Yusro Siregar, Machrani Adi Putri Siregar, R. Maisaroh Rezyekiyah Siti Aisyah Sitompul, Apri Yani Sri Ulfa Rahayu Suci Rachmadini, Haliza Syafitriani Syari, Isma Aulia Zamaakh Tamimi, Allifiyani Tri Kartika Chaniago Trima Lestari Uci Kirani Rambe Umami, Fauzah Wahyu Dianti, Ika Thrisna Weber, Gerhard Wilhelm Widyasar, Rina Widyasar, Rina Widyasari, Rina Widyasari, Rina Widyasari, Rina Wulandari, Hamidah Yumna, Yaumi Yusra Habibah Laily