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The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in...
In this paper we explore a new model of field carcinogenesis, inspired by lung
cancer precursor lesions, which includes dynamics of a spatially distributed population of
pre-cancerous cells , constantly supplied by an influx of mutated normal cells. Cell
proliferation is controlled by growth factor molecules bound to cells, . Free growth
factor molecules are produced by precancerous cells and may diffuse before they become
bound to other cells. The purpose of modelling is to investigate the existence...
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