Model for Acid-Mediated Tumour Invasion with Chemotherapy Intervention I: Homogeneous Populations

TL;DR

This paper develops a mathematical model to study how chemotherapy impacts tumour invasion driven by acid production, extending previous models by including treatment effects.

Contribution

It introduces a new ODE-based model that incorporates chemotherapy intervention into the acid-mediated tumour invasion framework.

Findings

Chemotherapy can significantly reduce tumour invasion in the model.

Acid production influences tumour growth dynamics and treatment effectiveness.

The model provides insights into optimal timing and dosage of chemotherapy.

Abstract

The acid-mediation hypothesis, that is, the hypothesis that acid produced by tumours, as a result of aerobic glycolysis, provides a mechanism for invasion, has so far been considered as a relatively closed system. The focus has mainly been on the dynamics of the tumour, normal-tissue, acid and possibly some other bodily components, without considering the effect of an external intervention such as a cytotoxic treatment. This article aims to examine the effect that a cytotoxic treatment has on a tumour growing under the acid-mediation hypothesis by using a simple set of ordinary differential equations that consider the interaction between normal-tissue, tumour-tissue, acid and chemotherapy drug.