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Updated: Apr 27, 2026

A Restriction Enzyme Based Cloning Method to Assess the In vitro Replication Capacity of HIV-1 Subtype C Gag-MJ4 Chimeric Viruses
Published on: August 31, 2014
Role of active and inactive cytotoxic immune response in human immunodeficiency virus dynamics
Hernan Dario Toro Zapata1, Angelica Graciela Caicedo Casso2, Derdei Bichara3
1Licenciatura en Matemáticas, Universidad del Quindío, Quindío, Colombia.
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.
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