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ATP Production and Necrosis Formation in a Tumour Spheroid Model

A. BertuzziA. FasanoA. GandolfiC. Sinisgalli — 2010

Mathematical Modelling of Natural Phenomena

Mathematical models of tumour spheroids, proposed since the early seventies, have been generally formulated in terms of a single diffusive nutrient which is critical for cell replication and cell viability. Only recently, attempts have been made to incorporate in the models the cell energy metabolism, by considering the interplay between glucose, oxygen and lactate (or pH). By assuming glucose and lactate as the only fuel substrates, we propose a simple model for the cell ATP production which takes...

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