Open Access Library Journal

Volume 3, Issue 4 (April 2016)

ISSN Print: 2333-9705   ISSN Online: 2333-9721

Google-based Impact Factor: 1.18  Citations  

On Analysis of Parameter Estimation Model for the Treatment of Pathogen-Induced HIV Infectivity

HTML  XML Download Download as PDF (Size: 1721KB)  PP. 1-13  
DOI: 10.4236/oalib.1102603    820 Downloads   1,649 Views  Citations

ABSTRACT

Multiplicity of new cases of HIV/AIDS and its allied infectious diseases daunted by lack of proper parametric estimation necessitated this present work. Formulated using ordinary differential equation was a five-dimensional (5D) differential mathematical model with which compatibility of optimal control strategy for dual (viral load and parasitoid-pathogen) infectivity in the blood plasma was investigated. Discretization method indicated the incompatibility of the model due to large error derivatives. The study using numerical method established treatment set point with which we explored the variation of predominant model parameters and thereof investigated the maximization of uninfected healthy CD4 T cell count as well as the de-replication of viruses following the consistent administration of reverse transcriptase inhibitor from set point. Presented was a series of numerical calculations obtained using well-known Runge-Kutter of order of precision 4, in Mathcad platform. Analysis of simulated parameters showed that distortion of replication viruses and de-transmutation of susceptible CD4 T cells by viruses via chemotherapy led to restoration and gradual increase of healthy blood plasma, with near zero declination of both viral load and parasitoid-pathogen within chemotherapy validity time frame. The model was worthy in the study of treatment analysis of dual HIV—pathogen infection and thereof recommended for other related dual infectious diseases.

Share and Cite:

Bassey, B. and Andreyevich, L. (2016) On Analysis of Parameter Estimation Model for the Treatment of Pathogen-Induced HIV Infectivity. Open Access Library Journal, 3, 1-13. doi: 10.4236/oalib.1102603.

Cited by

[1] Numerical Methods of Lyapunov Control Function (LCF) for De-replication of Dual HIV-Pathogen Infections
Open Science Journal of Mathematics and Application, 2018
[2] DYNAMIC OPTIMAL CONTROL MODEL FOR DUAL-PAIR TREATMENT FUNCTIONS OF DUAL DELAYED HIV-PATHOGEN INFECTIONS
Journal of Mathematical Sciences: Advances and Applications, 2018
[3] Dynamic optimal control model for period multiple chemotherapy (PMC) treatment of dual HIV-pathogen infections
2017
[4] Quantitative Approximability of Optimal Control by Linear Programing Model for Asymptomatic Dual HIV-Pathogen Infections
International Journal of Scientific and Innovative Mathematical Research , 2017
[5] On Optimal Control Pair Treatment: Clinical Management of Viremia Levels In Pathogenic-Induced HIV-1 Infections
2017
[6] Quantum Optimal Control Dynamics for Delay Intracellular and Multiple Chemotherapy Treatment (MCT) of Dual Delayed HIV-Pathogen Infections
International Journal of Scientific and Innovative Mathematical Research, 2017
[7] Dynamic Optimal Control Model for Periodic Multiple Chemotherapy (PMC) Treatment of Dual HIV-Pathogen Infections
2017
[8] On Optimal Control Model for the Treatment of Dual HIV-Parasitoid Pathogen Infection
2016
[9] On Quantitative Approach to Parametric Identifiability of Dual HIV-Parasitoid Infectivity Model
2016

Journals Menu
Follow SCIRP
Contact us
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2025 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.