TITLE:
On Analysis of Parameter Estimation Model for the Treatment of Pathogen-Induced HIV Infectivity
AUTHORS:
Bassey E. Bassey, Lebedev K. Andreyevich
KEYWORDS:
Asymptomatic-Stage, De-Replication, Discretization, Infectivity, Mutation-Ability
JOURNAL NAME:
Open Access Library Journal,
Vol.3 No.4,
April
22,
2016
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.