Transactions on Machine Intelligence

Transactions on Machine Intelligence

Design of Optimal Linear Feedback Controller for HIV Treatment

Document Type : Original Article

Authors
1 Department of Electrical Engineering, Faculty of Engineering, Khomeini Shahr Branch, Islamic Azad University, Khomeini Shahr, Iran
2 Assistant Professor, Control Engineering Department, Islamic Azad University, Khomeini Shahr Branch, Khomeini Shahr, Iran
Abstract
The design of optimal linear feedback controllers for HIV treatment is a multidisciplinary endeavor that combines principles from control theory, systems biology, and medical science. The goal is to create adaptive treatment strategies that can effectively manage the dynamics of HIV infection and optimize patient outcomes. Given the rapid advancements in control methods and the growing use of modern computers in recent years, these tools have also been applied in the field of medical processes. In this paper, after reviewing the model presented for HIV, a suitable model to describe the disease dynamics is selected. Then, using the linear feedback control method and considering the effect of antiretroviral drugs, an attempt is made to properly treat HIV. The six-variable HIV virus infection model is the basis of this study. Furthermore, considering the effect of RTIs and PIs drugs as control inputs, it is observed that the system is a nonlinear, multi-input, multi-output system. The stability of the system's internal dynamics is examined, and an optimal control method is used to optimize the dosage of injectable drugs for the patient, aiming to reduce side effects while effectively controlling the disease.
Keywords

  • Hadjiandreou, M. M., Conejeros, R., & Wilson, D. (2009). Planning of patient-specific drug-specific optimal HIV treatment strategies. Chemical Engineering Science, 64(18), 4024-4039. https://doi.org/10.1016/j.ces.2009.06.009
  • Sharp, P. M., & Hahn, B. H. (2011). Origins of HIV and the AIDS pandemic. Cold Spring Harbor Perspectives in Medicine, 1. https://doi.org/10.1101/cshperspect.a006841
  • Yarchoan, R., Tosate, G., & Little, R. F. (2005). Therapy insight: AIDS-related malignancies—the influence of antiviral therapy on pathogenesis and management. Nature Clinical Practice Oncology, 8, 406-415. https://doi.org/10.1038/ncponc0253
  • World Health Organization. (2010). Antiretroviral therapy for HIV infection in adults and adolescents: Recommendations for a public health approach.
  • Radisavljevic, V. (2009). Optimal control of HIV-virus dynamics. Annals of Biomedical Engineering, 37(6), 1251-1261. https://doi.org/10.1007/s10439-009-9672-7
  • Pannocchia, G., Laurino, M., & Landi, A. (2010). A model predictive control strategy toward optimal structured treatment interruptions in anti-HIV therapy. IEEE Transactions on Biomedical Engineering, 57(5), 1040-1050. https://doi.org/10.1109/TBME.2009.2039571
  • Zurakowski, R., & Teel, A. R. (2006). A model predictive control-based scheduling method for HIV therapy. Journal of Theoretical Biology, 238, 368-382. https://doi.org/10.1016/j.jtbi.2005.05.004
  • Pinheiro, J. V., & Lemos, J. M. (2011). Multi-drug therapy design for HIV-1 infection using nonlinear model predictive control. 19th Mediterranean Conference on Control and Automation, Aquis Corfu Holiday Palace, Corfu, Greece. https://doi.org/10.1109/MED.2011.5983037
  • Barao, M., & Lemos, J. M. (2006). Nonlinear control of HIV-1 infection with a singular perturbation model. IFAC Proceedings Volumes, 39(18), 333-338. https://doi.org/10.3182/20060920-3-FR-2912.00061
  • Assawinchaichote, W., & Junhom, S. (2011). H∞ fuzzy controller design for HIV/AIDS infection system with dual drug dosages via an LMI approach. International Journal of Energy, 5(2), 27-33.
  • Hajizadeh, I., & Shahrokhi, M. (2015). Observer-based output feedback linearization control with application to HIV dynamics. Industrial & Engineering Chemistry Research, 54(10), 2697-2708. https://doi.org/10.1021/ie5022442
  • Costanza, V., Rivadeneira, P. S., Biafore, F. L., & Attellis, C. E. (2010). Taking side effects into account for HIV medication. IEEE Transactions on Biomedical Engineering, 57(9). https://doi.org/10.1109/TBME.2010.2049845
  • Mhawej, M. J., Moog, C. H., & Biafore, F. (2009). The HIV dynamics is a single input system. 13th International Conference on Biomedical Engineering (pp. 1263-1266). Berlin, Germany. https://doi.org/10.1007/978-3-540-92841-6_310
  • Rivadeneira, P. S., & Moog, C. H. (2012). Impulsive control of single-input nonlinear systems with application to HIV dynamics. Applied Mathematics and Computation, 218(17), 8462-8474. https://doi.org/10.1016/j.amc.2012.01.071
  • Zarrabi, M. R., Farahi, M. H., Effati, S., & Koshkouei, A. J. (2012). Using sliding mode control in stability treatment of HIV disease. Advanced Modeling and Optimization, 14(1), 165-173.
  • Mhawej, M. J., & Moog, C. H. (2010). Control of the HIV infection and drug dosage. Biomedical Signal Processing and Control, 5(17), 45-52. https://doi.org/10.1016/j.bspc.2009.05.001
  • Landi, A., Mazzoldi, A., Andreoni, C., Bianchi, M., Cavallini, A., Laurino, M., Ricotti, L., Iuliano, R., Matteoli, B., & Nelli, L. C. (2008). Modelling and control of HIV dynamics. Computer Methods and Programs in Biomedicine, 89(2), 162-168. https://doi.org/10.1016/j.cmpb.2007.08.003
  • Wodarz, P. D., & Nowak, M. A. (2002). Mathematical models of HIV pathogenesis and treatment. BioEssays, 24, 1178-1187. https://doi.org/10.1002/bies.10196
Volume 4, Issue 4
Autumn 2021
Pages 201-215

  • Receive Date 14 April 2021
  • Revise Date 21 June 2021
  • Accept Date 08 December 2021