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All Journal MATEMATIKA SAINS DAN MATEMATIKA JURNAL SISTEM INFORMASI BISNIS Jurnal Matematika INDONESIAN JOURNAL OF APPLIED PHYSICS Communication in Biomathematical Sciences International Journal of Computing Science and Applied Mathematics Jurnal Surya Masyarakat International Journal of Supply Chain Management ComTech: Computer, Mathematics and Engineering Applications Jurnal Matematika UNAND Indonesian Journal of Electrical Engineering and Computer Science InPrime: Indonesian Journal Of Pure And Applied Mathematics Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Surya Masyarakat Journal of Fundamental Mathematics and Applications (JFMA) Research Horizon Integra: Journal of Integrated Mathematics and Computer Science
Redemtus Heru Tjahjana
Department Of Mathematics, Diponegoro University Semarang, Indonesia
Religion Arts Humanities Astronomy Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Physics Public Health Social Sciences Transportation Other

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Journal : Communication in Biomathematical Sciences

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Modeling CD4+ T cells and CTL response in HIV-1 infection with antiretroviral therapy Sutimin, Sutimin; Sunarsih, Sunarsih; Tjahjana, R. Heru
Communication in Biomathematical Sciences Vol 1, No 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (278.074 KB) | DOI: 10.5614/cbms.2018.1.2.3

Abstract

The majority of an immune system infected by HIV (Human Immunodeficiency Virus) is CD4+ T cells. The HIV-1 transmission through cell to cell of CD4+ T cells supports the productive infection. On the other hand, infected CD4+ T cells stimulate cytotoxic T-lymphocytes cells to control HIV-1 infection. We develop and analyze a mathematical model incorporating the infection process through cell to cell contact of CD4+ T cells, CTL compartment and the combination of RTI and PI treatments. By means of the alternative reproduction ratio, it is analyzed the stability criteria and the existence of endemic equilibrium. Numerical simulations are presented to study the implication of the combination of RTI and PI therapy. The results indicate that RTI drug shows more significant effect in reducing HIV-1 infection compared to PI drug.
Modeling CD4+ T cells and CTL response in HIV-1 infection with antiretroviral therapy Sutimin Sutimin; Sunarsih Sunarsih; R. Heru Tjahjana
Communication in Biomathematical Sciences Vol. 1 No. 2 (2018)
Publisher : Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2018.1.2.3

Abstract

The majority of an immune system infected by HIV (Human Immunodeficiency Virus) is CD4+ T cells. The HIV-1 transmission through cell to cell of CD4+ T cells supports the productive infection. On the other hand, infected CD4+ T cells stimulate cytotoxic T-lymphocytes cells to control HIV-1 infection. We develop and analyze a mathematical model incorporating the infection process through cell to cell contact of CD4+ T cells, CTL compartment and the combination of RTI and PI treatments. By means of the alternative reproduction ratio, it is analyzed the stability criteria and the existence of endemic equilibrium. Numerical simulations are presented to study the implication of the combination of RTI and PI therapy. The results indicate that RTI drug shows more significant effect in reducing HIV-1 infection compared to PI drug.
Co-Authors 'Aliyah, Dheva Ufiz Agus Setyawan Agus Subagio Agus Subagio Aulia, Lathifatul Bambang Irawanto Devi Larasati Dhimas Mahardika Dhimas Mahardika Djalal Er Riyanto Etna Vianita Harahap, Adhina Rizkillah Harjum Muharam Hendri Widiyandari I Gusti Ngurah Antaryama Jatmiko Endro Suseno Kartono . L Niswah, L Lucia Ratnasari Lucia Ratnasari Madchan Anis MINARSIH MINARSIH Moch. Abdul Mukid Muhammad Nur Mustafid Mustafid Nikken Prima Puspita Okky Widya Arditya Paramita, Arum Qurrotulaini Pradjna Parsaoran Siahaan Prameswari, Balqies Gabriella Priyo Sidik Sasongko Rahman, Aini Ririn Sulpiani Robertus Heri Sulistyo Utomo Satriyo Adhy SITI KHOLIFAH Solichin Zaki Solikhin Solikhin Sri Haryanti Sudarno Sudarno Sunarsih Sunarsih sutimin sutimin Sutimin Sutimin Sutrisno Sutrisno Sutrisno, Sutrisno Sutrisno, Sutrisno Titi Udjiani SRRM Udi Harmoko Utomo, R. Heri Soelistyo Utomo, R. Heri Soelistyo Vianita, Etna Wahyu Setiabudi Widowati ., Widowati widowati widowati Widowati, Widowati Wijayanti, Shofiyana Noor Yundari, Yundari