Comparison Between Protein-Protein Interaction Networks CD4 + T and CD8 + T and a Numerical Approach for Fractional HIV Infection of CD4 + T Cells

This research examines and compares the construction of protein-protein interaction (PPI) networks of CD4+ and CD8+T cells and investigates why studying these cells is critical after HIV infection. This study also examines a mathematical model of fractional HIV infection of CD4+T cells and proposes a new numerical procedure for this model that focuses on a recent kind of orthogonal polynomials called discrete Chebyshev polynomials. The proposed scheme consists of reducing the problem by extending the approximated solutions and by using unknown coefficients to nonlinear algebraic equations. For calculating unknown coefficients, fractional operational matrices for orthogonal polynomials are obtained. Finally, there is an example to show the effectiveness of the recommended method. All calculations were performed using the Maple 17 computer code.