基于耦合分式反应扩散方程的微环境肿瘤转移模型分析

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI:10.1016/j.camwa.2025.01.012

Yating Huang, Zhenyou Wang

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引用次数: 0

摘要

本文探讨了肿瘤转移的许可阶段，重点探讨了肿瘤微环境与细胞之间的数学关系。基于曹院士的见解，我们采用反应-扩散方法建立了分数阶时空模型，并对其进行数值求解，以解释肿瘤转移记忆和遗传性。我们的分析确定了这一阶段的因果关系，为推进癌症治疗研究提供了必要的理论支持和工具。本研究旨在创新肿瘤治疗方法，提供新的见解和策略。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).