Nonlinear system for cell population growth simulations in pulmonary tuberculosis infection

Pulmonary tuberculosis is caused by Mycobacterium tuberculosis (Mtb) which attacks the body's immune cells. A better understanding of the interactions of Mtb, macrophages, and T cells will help control tuberculosis. This interaction is represented by a nonlinear system of differential equations...

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Bibliographic Details
Published in:Procedia computer science 2023, Vol.216, p.462-470
Main Authors: Dewiyanti, Ulva, Noviantri, Viska, Rumagit, Reinert Y.
Format: Article
Language:English
Subjects:
pulmonary tuberculosis
Runge-Kutta
system of nonlinear differential equations
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Summary:Pulmonary tuberculosis is caused by Mycobacterium tuberculosis (Mtb) which attacks the body's immune cells. A better understanding of the interactions of Mtb, macrophages, and T cells will help control tuberculosis. This interaction is represented by a nonlinear system of differential equations and solved numerically by the 4th-order Runge-Kutta method for the system. A python-based desktop application is developed to simulate numerical solutions and display simulation results quantitatively and visually. The simulation results indicate compliance with the prior studies. The analysis of the simulation results showed differences in the distribution of cell populations based on the parameters used. The equilibrium point can indicate an infection-free state and latent or active infection based on the number of bacteria.
ISSN:1877-0509
1877-0509
DOI:10.1016/j.procs.2022.12.158