Mathematical Modeling and Parameter Estimation in HIV Dynamics and Antiretroviral Therapy

These studies focus on developing and analyzing mathematical models to understand HIV infection dynamics, including interactions between virus, immune system, and antiretroviral therapy (ART). They apply techniques such as maximum likelihood estimation and optimal control to estimate model parameters, evaluate treatment efficacy, and explore strategies for managing drug resistance, patient adherence, and immune response. The models range from basic viral dynamics to long-term treatment scenarios incorporating pharmacokinetics, immune response, and emergence of resistant mutants.