Interaction of tumor with its micro-environment: A mathematical model

Area of Science:

• Oncology
• Computational Biology
• Biophysics

Background:

• Tumor micro-environment involves complex cell-cell and cell-matrix interactions.
• Transformed epithelial cells (TECs) and fibroblasts communicate via cytokines like TGF-beta and EGF.
• Fibroblast differentiation into myofibroblasts alters EGF secretion, impacting tumor progression.

Purpose of the Study:

• To develop a mathematical model simulating TEC-fibroblast interactions in a tumor micro-environment.
• To investigate the influence of key signaling molecules (TGF-beta, EGF) on tumor progression.
• To generate hypotheses for inhibiting tumor growth and invasion.

Main Methods:

• Development of a mathematical model based on partial differential equations (PDEs).
• In silico simulation mimicking a Tumor Chamber Invasion Assay setup.
• Analysis of model parameters to understand their effect on tumor progression.

Main Results:

• The model captures the dynamic interplay between TECs, fibroblasts, myofibroblasts, TGF-beta, and EGF.
• Model parameters were shown to significantly affect tumor growth and invasion dynamics.
• The study provides a framework for hypothesis generation regarding therapeutic interventions.

Conclusions:

• Mathematical modeling offers a powerful tool to study complex tumor micro-environment dynamics.
• Understanding cell-cytokine interactions is crucial for developing strategies to slow tumor invasion.
• The model's unique global in-time solution ensures its predictive reliability.