Mathematical Model of Avascular Tumor Growth: Necrosis and Apoptosis

The first section of this paper reviews the research on development avascular tumours, which are tumours without a blood artery network to supply their cells with nutrients. process is then illustrated utilising classical PDE model, composed an outer layer actively dividing and inner core dead (referred as necrotic cells) (called proliferating cells). model takes into account both necrosis (a type cell death brought by changes in cell’s microenvironment) apoptosis sort programmed that place when reaches end its normal lifespan). We offer modified, simplified study how relative importance these mechanisms shifts tumour enlarges using mix numerical analytical methods.