On the innate immune response to intracellular bacterial infections

Abstract

Various bacteria are able to infect human organisms to induce less or more dangerous diseases. In response to them, the human immune system is usually activated. In addition, medical therapies to the patients can be applied. One of the most popular approaches is the use of various antibiotics. However, some bacteria are able to develop resistance against the applied antibiotics. Various approaches to study these phenomena are proposed in the literature, among them tools for big data analysis, machine learning, mathematical modeling, etc. In our paper, we consider a mathematical model describing the interactions between susceptible uninfected cells, infected cells, immune cells and bacteria. We study the properties of the model. We propose numerical scheme for obtaining the approximate solutions to the model system for various values of parameters and initial conditions.