Analysis of tumor metastasis model in microenvironment based on coupled fractional reaction diffusion equation

Abstract

This paper explores the licensing stage in tumor metastasis, focusing on the mathematical relationships between the tumor microenvironment and cells. Building on Academician Cao's insights, we develop a fractional order spatiotemporal model using a reaction-diffusion approach, solving it numerically to account for tumor metastasis memory and heritability. Our analysis identifies causal relationships during this stage, providing essential theoretical support and tools for advancing cancer treatment research. This study aims to innovate tumor therapy methods, offering new insights and strategies.