Abstract

<p style='text-indent:20px;'>In this article a model of tumor growth is considered. The model is based on the reaction-diffusion equation that describes the distribution of nutrients within the tissue. Our aim was to predict the influence of nutrients on the tumor development. In the tissue the nutrients are transformed into energy, which supports the transfer of chemical and electrical signals and also transfer and copy the information in the tumor cells. We investigate, from a mathematical point of view, under which conditions this process takes place and how it affects the evolution of the tumor.</p>

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