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<p>In this paper, based on tumor-host system including interactions between tumor cells, healthy tissue cells and effector immune cells, we propose a stochastic partial differential equation model to characterize wave pattern formation in tumor growth under the influence of random space-time fluctuations. Further, we perform numerical simulations in order to assess the traveling wave behavior of the solution. For this, we use two different computational methods.</p>

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Numerical simulations of wave patterns in a stochastic partial differential equation model of tumor growth and invasion

  • 期刊论文

  • 发表日期：

    2025年5月5日

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  • M. B. A. Mansour,
  • Hussien S. Hussien,
  • Asmaa H. Abobakr

摘要

In this paper, based on tumor-host system including interactions between tumor cells, healthy tissue cells and effector immune cells, we propose a stochastic partial differential equation model to characterize wave pattern formation in tumor growth under the influence of random space-time fluctuations. Further, we perform numerical simulations in order to assess the traveling wave behavior of the solution. For this, we use two different computational methods.