Research Article

Analysis of Fractional Order Mathematical Model of Hematopoietic Stem Cell Gene-Based Therapy

Table 1

The description of parameters in the model.

ParameterDescriptionUnit

Production rate of uninfected CD4+ T cellsConcentration cells
/time unit
Death rate of uninfected CD4+ T cells1/ time unit
Infection rateConcentration cells−1/ time unit
Death rate of infected CD4+ T cells1/ time unit
Effector CTL rate of killing infected CD4+ T cellsConcentration cells−1/ time unit
Fractions of HSCs that successfully differentiated into functional CTL cells-
Proliferation rate of precursor CTLConcentration cells−2/ time unit
Fraction of precursor CTL cells that differentiated into effector CTL cells-
Death rate of precursor CTL1/ time unit
Death rate of effector CTL1/ time unit
Differentiation rate of CD8+ T lymphocytes1/ time unit