1. A time scale approach for analyzing pathogenesis of ATL development associated with HTLV-1 infection.
- Author
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Akın, Elvan and Pelen, Neslihan Nesliye
- Subjects
- *
HTLV-I , *ADULT T-cell leukemia , *BASIC reproduction number - Abstract
In this paper, mathematical modeling of the dynamics of Human T-cell lymphotropic virus type I (HTLV-1) infection and the development of adult T-cell leukemia (ATL) cells is investigated by a time scale approach. The proposed models, constructed by nonlinear systems of first-order difference equations and h -difference equations, characterize the relationship among uninfected, latently infected, actively infected CD4 + cells, and ATL cells, where the growth of leukemia cells is described by discrete logistic curves. The stability results are established based on basic reproduction number ℛ 0. When ℛ 0 < 1 , infected T-cells always die out and there exist two disease-free equilibria depending on the proliferation rate and the death rate of leukemia cells. When ℛ 0 > 1 , HTLV-1 infection becomes chronic and spreads, and there exists a unique endemic equilibrium point. The stability results of disease-free and endemic equilibrium points are obtained when ℛ 0 < 1 and ℛ 0 > 1 , respectively. Furthermore, the sensitivity analysis discovers the key parameters of the models related to ℛ 0. Estimated parameters are applied based on the experimental observation. The numerical analysis also shows the equilibrium level of ATL cell proliferation is higher when the HTLV-I infection of T-cells is chronic than when it is acute. Moreover, our mathematical modeling by a time scale approach yields a new parameter to an HTLV-1 infection model which determines data frequency. • ATL development associated with HTLV-1 infection. • Mathematical modeling by a time scale approach. • The number of leukemia cells described by implicit discrete logistic curve. • Determining data frequency by h-difference equations. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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