On the Numerical Method for Solving a System of Nonlinear Fractional Ordinary Differential Equations Arising in HIV Infection of CD4 $$^{+}$$ + T Cells

2018 ◽  
Vol 43 (3) ◽  
pp. 1127-1138 ◽  
Author(s):  
Farshid Mirzaee ◽  
Nasrin Samadyar
2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Mangalagama Dewasurendra ◽  
Ying Zhang ◽  
Noah Boyette ◽  
Ifte Islam ◽  
Kuppalapalle Vajravelu

AbstractIn 2015, Shijun Liao introduced a new method of directly defining the inverse mapping (MDDiM) to approximate analytically a nonlinear differential equation. This method, based on the Homotopy Analysis Method (HAM) was proposed to reduce the time it takes in solving a nonlinear equation. Very recently, Dewasurendra, Baxter and Vajravelu (Applied Mathematics and Computation 339 (2018) 758–767) extended the method to a system of two nonlinear differential equations. In this paper, we extend it further to obtain the solution to a system of three nonlinear differential equations describing the HIV infection of CD4+ T-cells. In addition, we analyzed the advantages of MDDiM over HAM, in obtaining the numerical results. From these results, we noticed that the infected CD4+ T-cell density increases with the number of virions N; but decreases with the blanket death rate μI.


FEBS Letters ◽  
2021 ◽  
Author(s):  
Yashavanth S. Lakshmanappa ◽  
Jamin W. Roh ◽  
Niharika N. Rane ◽  
Ashok R. Dinasarapu ◽  
Daphne D. Tran ◽  
...  
Keyword(s):  
T Cells ◽  

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Simon X. M. Dong ◽  
Frederick S. Vizeacoumar ◽  
Kalpana K. Bhanumathy ◽  
Nezeka Alli ◽  
Cristina Gonzalez-Lopez ◽  
...  

Abstract Background Macrophages, besides resting latently infected CD4+ T cells, constitute the predominant stable, major non-T cell HIV reservoirs. Therefore, it is essential to eliminate both latently infected CD4+ T cells and tissue macrophages to completely eradicate HIV in patients. Until now, most of the research focus is directed towards eliminating latently infected CD4+ T cells. However, few approaches have been directed at killing of HIV-infected macrophages either in vitro or in vivo. HIV infection dysregulates the expression of many host genes essential for the survival of infected cells. We postulated that exploiting this alteration may yield novel targets for the selective killing of infected macrophages. Methods We applied a pooled shRNA-based genome-wide approach by employing a lentivirus-based library of shRNAs to screen novel gene targets whose inhibition should selectively induce apoptosis in HIV-infected macrophages. Primary human MDMs were infected with HIV-eGFP and HIV-HSA viruses. Infected MDMs were transfected with siRNAs specific for the promising genes followed by analysis of apoptosis by flow cytometry using labelled Annexin-V in HIV-infected, HIV-exposed but uninfected bystander MDMs and uninfected MDMs. The results were analyzed using student’s t-test from at least four independent experiments. Results We validated 28 top hits in two independent HIV infection models. This culminated in the identification of four target genes, Cox7a2, Znf484, Cstf2t, and Cdk2, whose loss-of-function induced apoptosis preferentially in HIV-infected macrophages. Silencing these single genes killed significantly higher number of HIV-HSA-infected MDMs compared to the HIV-HSA-exposed, uninfected bystander macrophages, indicating the specificity in the killing of HIV-infected macrophages. The mechanism governing Cox7a2-mediated apoptosis of HIV-infected macrophages revealed that targeting respiratory chain complex II and IV genes also selectively induced apoptosis of HIV-infected macrophages possibly through enhanced ROS production. Conclusions We have identified above-mentioned novel genes and specifically the respiratory chain complex II and IV genes whose silencing may cause selective elimination of HIV-infected macrophages and eventually the HIV-macrophage reservoirs. The results highlight the potential of the identified genes as targets for eliminating HIV-infected macrophages in physiological environment as part of an HIV cure strategy.


2017 ◽  
Vol 13 (2) ◽  
pp. e1006163 ◽  
Author(s):  
Jason A. Neidleman ◽  
Joseph C. Chen ◽  
Nargis Kohgadai ◽  
Janis A. Müller ◽  
Anders Laustsen ◽  
...  

2014 ◽  
Vol 92 (9) ◽  
pp. 770-780 ◽  
Author(s):  
Peilin Li ◽  
Katsuya Fujimoto ◽  
Lilly Bourguingnon ◽  
Steven Yukl ◽  
Steven Deeks ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document