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Updated: Jul 11, 2026

A Computational Modeling Approach to Investigate the Influence of Hyperthermia on the Tumor Microenvironment

A Computational Modeling Approach to Investigate the Influence of Hyperthermia on the Tumor Microenvironment

Published on: December 1, 2023

Mesoscopic model for tumor growth.

Elena Izquierdo-Kulich¹, José Manuel Nieto-Villar

¹Departamento de Ingeniería Química. Facultad de Ingeniería Química. Instituto Superior Politécnico, CUJAE, Havana, Cuba. elenaik@fq.uh.cu

Mathematical Biosciences and Engineering : MBE

|October 11, 2007

Summary

This study introduces a mesoscopic model for tumor growth, explaining cell heterogeneity and experimental results. The model

Area of Science:

Computational biology
Mathematical modeling
Cancer research

Background:

Tumor heterogeneity is a key challenge in cancer research.
Understanding tumor growth dynamics is crucial for effective treatment strategies.

Purpose of the Study:

To develop a mesoscopic model for tumor growth.
To explain the origin of tumor cell heterogeneity.
To reproduce and explain experimental results from Brú.

Main Methods:

Development of a mesoscopic model.
Application of stochastic formalism.
Analysis of critical surface growth dynamics.

Main Results:

The model reproduces experimental tumor growth data.

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Predicted beta growth exponents range from 0.25 to 0.5.

This range encompasses values from Kadar-Parisi-Zhang and molecular beam epitaxy (MBE) universality classes.

Conclusions:

Tumor growth dynamics are complex.
The model suggests tumor dynamics are not confined to a single universality class.
Further research is needed to fully characterize tumor growth complexity.