Mathematical model analysis of stages of cervical cancer with the side effect hematological toxicity in radio-chemotherapy

Abstract

Cervical cancer is the fourth most common cancer in women worldwide. Cancer treatments are often used to kill or remove tumors or metastases, reduce the risk of recurrence, and slow the development of tumors or metastases. They are also used to prevent and manage symptoms and complications caused by the disease and its treatments, ensuring the best possible quality of life. However, the effects of cancer treatments on patients are not always positive. The treatment of cervical cancer using a combination of radiotherapy and chemotherapy affects red and white blood cells as well as plasma. These side effects, known as hematological toxicity, led us to construct a mathematical model based on a population of hospitalized cervical cancer patients. This population is divided into five sub-populations classified according to disease stages, and the model is built using a system of differential equations. We analyzed the equilibrium points and performed stability analysis to study the population’s dynamics over time. Finally, we conducted numerical simulations to verify the results of the analysis.