scholarly journals Numerical Solution of a Fractional Model for HIV Infection of CD4+T Cells via Legendre Multiwavelet Functions

2020 ◽  
Vol 24 (4) ◽  
pp. 359-370
Author(s):  
Ensiyeh Sokhanvar ◽  
◽  
Ataollah Askari Hemmat ◽  

In this paper, we introduce a Galerkin method based on Legendre multiwavelet functions to obtain approximate solutions of a fractional model for HIV infection of CD4+T cells corresponding to a class of systems of nonlinear fractional differential equations. The method converts the model problem into a system of nonlinear algebraic equations. A numerical example is included to demonstrate the validity and applicability of the technique and the results are compared with those obtained by existing methods.

2016 ◽  
Vol 09 (03) ◽  
pp. 1650036 ◽  
Author(s):  
Şuayip Yüzbaşı

In this paper, an exponential method is presented for the approximate solutions of the HIV infection model of CD4[Formula: see text]T. The method is based on exponential polynomials and collocation points. This model problem corresponds to a system of nonlinear ordinary differential equations. Matrix relations are constructed for the exponential functions. By aid of these matrix relations and the collocation points, the proposed technique transforms the model problem into a system of nonlinear algebraic equations. By solving the system of the algebraic equations, the unknown coefficients are computed and thus the approximate solutions are obtained. The applications of the method for the considered problem are given and the comparisons are made with the other methods.


Author(s):  
Djurdjica Takači ◽  
Arpad Takači ◽  
Aleksandar Takači

AbstractFuzzy fractional differential equations with fuzzy coefficients are analyzed in the frame of Mikusiński operators. Systems of fuzzy operational algebraic equations are obtained, in view of the definition of fuzzy derivatives. Their exact and approximate solutions are constructed and their characters are analyzed, considering them as the corresponding solutions of the given problem. The described procedure of the construction of solutions is illustrated on an example and the obtained approximate solutions of the considered problems are visualized by using the GeoGebra software package.


2017 ◽  
Vol 10 (07) ◽  
pp. 1750098 ◽  
Author(s):  
Şuayip Yüzbaşı ◽  
Nurbol Ismailov

In this paper, the human immunodeficiency virus (HIV) infection model of CD[Formula: see text][Formula: see text]T-cells is considered. In order to numerically solve the model problem, an operational method is proposed. For that purpose, we construct the operational matrix of integration for bases of Taylor polynomials. Then, by using this matrix operation and approximation by polynomials, the HIV infection problem is transformed into a system of algebraic equations, whose roots are used to determine the approximate solutions. An important feature of the method is that it does not require collocation points. In addition, an error estimation technique is presented. We apply the present method to two numerical examples and compare our results with other methods.


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.


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