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Original Article
- Role of Active and Inactive Cytotoxic Immune Response in Human Immunodeficiency Virus Dynamics
- Hernan Dario Toro Zapata, Angelica Graciela Caicedo Casso, Derdei Bichara, Sunmi Lee
- Osong Public Health Res Perspect. 2014;5(1):3-8. Published online February 28, 2014
- DOI: https://doi.org/10.1016/j.phrp.2014.01.001
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- 29 Download
- 8 Crossref
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Abstract
PDF - Objectives
Mathematical models can be helpful to understand the complex dynamics of human immunodeficiency virus infection within a host. Most of work has studied the interactions of host responses and virus in the presence of active cytotoxic immune cells, which decay to zero when there is no virus. However, recent research highlights that cytotoxic immune cells can be inactive but never be depleted.
Methods
We propose a mathematical model to investigate the human immunodeficiency virus dynamics in the presence of both active and inactive cytotoxic immune cells within a host. We explore the impact of the immune responses on the dynamics of human immunodeficiency virus infection under different disease stages.
Results
Standard mathematical and numerical analyses are presented for this new model. Specifically, the basic reproduction number is computed and local and global stability analyses are discussed.
Conclusion
Our results can give helpful insights when designing more effective drug schedules in the presence of active and inactive immune responses. -
Citations
Citations to this article as recorded by
- A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
Sol de Amor Vásquez-Quintero, Hernán Darío Toro-Zapata, Dennis Alexánder Prieto-Medellín
Processes.2021; 9(11): 1924. CrossRef - Qualitative investigation of cytolytic and noncytolytic immune response in an HBV model
John G. Alford, Stephen A. McCoy
Involve, a Journal of Mathematics.2020; 13(3): 455. CrossRef - Mathematical Model Describing HIV Infection with Time-Delayed CD4 T-Cell Activation
Hernán Darío Toro-Zapata, Carlos Andrés Trujillo-Salazar, Edwin Mauricio Carranza-Mayorga
Processes.2020; 8(7): 782. CrossRef - The Role of Immune Response in Optimal HIV Treatment Interventions
Hernán Toro-Zapata, Angélica Caicedo-Casso, Sunmi Lee
Processes.2018; 6(8): 102. CrossRef - Evaluación teórica de estrategias óptimas y sub-óptimas de terapia antirretroviral para el control de la infección por VIH
Hernán Darío Toro-Zapata, Carlos Andrés Trujillo-Salazar, Dennis Alexánder Prieto-Medellín
Revista de Salud Pública.2018; 20(1): 117. CrossRef - Summing Up Again
Hae-Wol Cho, Chaeshin Chu
Osong Public Health and Research Perspectives.2014; 5(4): 177. CrossRef - Roll the Dice
Hae-Wol Cho, Chaeshin Chu
Osong Public Health and Research Perspectives.2014; 5(5): 243. CrossRef - Journal Publishing: Never Ending Saga
Hae-Wol Cho, Chaeshin Chu
Osong Public Health and Research Perspectives.2014; 5(1): 1. CrossRef
- A Multi-Scale Model for the Spread of HIV in a Population Considering the Immune Status of People
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