scholarly journals THE ADOMIAN DECOMPOSITION METHOD FOR SOLVING HIV INFECTION MODEL OF LATENTLY INFECTED CELLS

2019 ◽  
Vol 3 (1) ◽  
pp. 05-08 ◽  
Author(s):  
Nigar Ali, ◽  
Saeed Ahmad, ◽  
Sartaj Aziz ◽  
Gul Zaman
2018 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Yolanda Guerrero–Sánchez ◽  
◽  
Muhammad Umar ◽  
Zulqurnain Sabir ◽  
Juan L. G. Guirao ◽  
...  

2018 ◽  
Vol 11 (02) ◽  
pp. 1850019 ◽  
Author(s):  
Muhammad Asif Zahoor Raja ◽  
Kiran Asma ◽  
Muhammad Saeed Aslam

In this work, biologically-inspired computing framework is developed for HIV infection of CD4[Formula: see text] T-cell model using feed-forward artificial neural networks (ANNs), genetic algorithms (GAs), sequential quadratic programming (SQP) and hybrid approach based on GA-SQP. The mathematical model for HIV infection of CD4[Formula: see text] T-cells is represented with the help of initial value problems (IVPs) based on the system of ordinary differential equations (ODEs). The ANN model for the system is constructed by exploiting its strength of universal approximation. An objective function is developed for the system through unsupervised error using ANNs in the mean square sense. Training with weights of ANNs is carried out with GAs for effective global search supported with SQP for efficient local search. The proposed scheme is evaluated on a number of scenarios for the HIV infection model by taking the different levels for infected cells, natural substitution rates of uninfected cells, and virus particles. Comparisons of the approximate solutions are made with results of Adams numerical solver to establish the correctness of the proposed scheme. Accuracy and convergence of the approach are validated through the results of statistical analysis based on the sufficient large number of independent runs.


2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Fang Chen ◽  
Qing-Quan Liu

The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in a more efficient way. We also use Padé approximation and Laplace transform as a posttreatment technique to obtain the result of the ADM. The advantage of the posttreatment is illustrated by numerical experiments.


2016 ◽  
Vol 10 ◽  
pp. 2121-2130
Author(s):  
Mehdi Maziane ◽  
El Mehdi Lotfi ◽  
Marouane Mahrouf ◽  
Khalid Hattaf ◽  
Noura Yousfi

2018 ◽  
Vol 6 (2) ◽  
pp. 181-190 ◽  
Author(s):  
Yogesh Khandelwal ◽  
Padama Kumawat ◽  
Rachana Khandelwal

This manuscript presents a procedure in the direction of get the emulsion of dynamic pattern in place of HIV infection of CD4+T cells. Intended for methodical mix of non linear differential equation, we are by Kamal Transform Adomian Decomposition Method (KTADM). This procedure gives consistent as a consequence effectual suspension of HIV model.


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