Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-03 DOI:10.1515/ijnsns-2022-0026

M. Mansour, H. S. Hussien, Asmaa H. Abobakr

引用次数: 1

Abstract

Abstract In this paper, we introduce a stochastic partial differential equation model for the spatial dynamic of tumor–immune interactions. We perform numerical simulations in order to investigate the propagation of traveling waves in model system under the influence of random space-time fluctuations. One of methods is to solve a stochastic partial differential equation system for tumor–immune cell densities. The second method is to solve a stochastic partial differential algebraic equation system in order to assess the wave behavior of the solution in comparison with the deterministic approach. Finally, we discuss the implications of the model results.

查看原文本刊更多论文

肿瘤-免疫相互作用随机偏微分方程模型中波浪传播的数值模拟

摘要本文引入肿瘤-免疫相互作用空间动力学的随机偏微分方程模型。为了研究在随机时空波动的影响下，行波在模型系统中的传播，我们进行了数值模拟。其中一种方法是求解肿瘤免疫细胞密度的随机偏微分方程组。第二种方法是求解一个随机偏微分代数方程组，以便与确定性方法比较，评估解的波动行为。最后，我们讨论了模型结果的含义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.