Mathematical Framework and Computational Analysis of RNA-Level Interactions Between M. tuberculosis and BCG Glaxo

Abstract

A well-constructed ordinary differential equation (ODE) model is an essential tool for simulating the interactions between Mycobacterium tuberculosis and Mycobacterium bovis BCG Glaxo both quantified in RNA/fg/cell. The model can be numerically solved using techniques such as the fourth-order Runge-Kutta method (RK4) or Euler's method with Python serving as an effective platform for implementation. This model enables researchers to explore the dynamics between M. tuberculosis  and M. bovis BCG Glaxo across different scenarios. It allows for the assessment of how variations in parameters, initial conditions and boundary conditions impact the interaction between these microorganisms. Additionally, the model facilitates the examination of time-dependent changes in these interactions, offering valuable insights into their long-term behaviours. Furthermore, the model provides a means to compare the outcomes produced by different numerical techniques contributing to a deeper understanding of the interactions between  M. tuberculosis (rna/FG/CELL) and M. bovis BCG Glaxo (RNA/fg/cell). This ODE model is a critical asset in advancing our understanding of these important bacterial interactions.