# A Mechano-Chemical model for tumors growth

## TL;DR

This paper introduces a mechano-chemical differential equation model to study the local dynamics of tumor and healthy cell growth, incorporating nutrient levels and pH influence.

## Contribution

It presents a novel integrated model combining mechanical and chemical factors affecting tumor growth dynamics.

## Key findings

- Nutrient levels significantly impact tumor growth rates.
- pH levels influence tumor and healthy cell evolution.
- The model provides insights into tumor growth under varying biochemical conditions.

## Abstract

In this paper we present a study of local dynamics of the growth of cancer tumor and healthy cells considering the presence of nutrients in the system. We also analyze the evolution of system if we take indirectly into account the level of alkalinity (pH) in the system which shows that influences in tumor growth. The model consists in a set of differential equations of first order that involves a mechanical model added by a pair of differential equations for local oxygen and glucose.