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On fractional numerical simulation of HIV infection for CD8+ T-cells and its treatment
R A Alharbey1, Noufe H Aljahdaly2
1Mathematics Department, Faculty of Science, Al-Sulymania Women's Campus, King AbdulAziz University, Jeddah, Kingdom of Saudi Arabia.
Insights
This study models HIV infection using fractional calculus, exploring stem cell therapy and CD8+ T cell activation. Mathematical simulations suggest this combined approach may lead to a cure for HIV.
Area of Science:
- Mathematical Biology
- Immunology
- Virology
Background:
- Antiretroviral therapy (cART) is standard for HIV/AIDS but can lead to T cell exhaustion.
- Persistent immune activation by cART poses challenges for complete HIV eradication.
- Novel therapeutic strategies are needed to overcome treatment limitations.
Purpose of the Study:
- To introduce fractional-order calculus into a mathematical model of HIV infection.
- To investigate the combined effects of stem cell therapy and CD8+ T cell activation on HIV control.
- To analyze the influence of the fractional order parameter on model dynamics.
Main Methods:
- Development of a fractional-order mathematical model for HIV infection.
- Incorporation of stem cell therapy and immune system cell (CD8+ T cells) control mechanisms.
- Numerical simulation and analysis of the model's behavior.
Main Results:
- Stem cell therapy combined with activated CD8+ T cells shows potential for HIV cure.
- Fractional-order dynamics offer new insights into HIV infection progression and control.
- Model predictions align with existing clinical observations and studies.
Conclusions:
- Fractional-order modeling provides a robust framework for studying complex diseases like HIV.
- The synergistic effect of stem cell therapy and immune modulation is a promising avenue for HIV eradication.
- Further research into fractional calculus applications in infectious disease modeling is warranted.
Abstract:
The AIDS is a chronic disease and the researchers still exert their high efforts to reach the cure of HIV infection. The most common treatment is the antiretroviral therapy (cART) and the virus can be more effected if the patients stop using cART. The other problem is that the CD8+ T cells might be exhausted by persistent immune activation by cART. This paper introduces fractional-order into a mathematical model of HIV infection combining with stem cell therapy and control the infection by the immune system cells (CD8+ T cells). The paper introduced the numerical solutions for the mathematical model. The results show that the stem cell therapy with the activation of immune system cells might causes the cure for a HIV patient. This results are consistent with medical studies. Also, we proposed the effect of the fractional order (α) on the figures of the components.
