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This chapter deals with reaction-diffusion processes relevant in tumour growth problems, including the diffusion and consumption of oxygen, the production of growth factors, and the infusion of drugs. Finally, the growth of a glioma is described with a linear reaction-diffusion model, which allows some mathematical analysis to be carried out.

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Diffusion-Based Models

  • 章节

  • 发表日期：

    2025年

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  • Mark A. J. Chaplain,
  • Luigi Preziosi

摘要

This chapter deals with reaction-diffusion processes relevant in tumour growth problems, including the diffusion and consumption of oxygen, the production of growth factors, and the infusion of drugs. Finally, the growth of a glioma is described with a linear reaction-diffusion model, which allows some mathematical analysis to be carried out.