BIO Web Conf.
Volume 59, 20232023 5th International Conference on Biotechnology and Biomedicine (ICBB 2023)
|Number of page(s)||6|
|Section||Clinical Trials and Medical Device Monitoring|
|Published online||08 May 2023|
Mathematical Model of Avascular Tumor Growth: Necrosis and Apoptosis
University of Oxford
The first section of this paper reviews the research on the development of avascular tumours, which are tumours without a blood artery network to supply their cells with nutrients. The process of avascular tumours is then illustrated utilising classical PDE model, which is composed of an outer layer of actively dividing cells and an inner core of dead cells (referred to as necrotic cells) (called proliferating cells). The model takes into account both necrosis (a type of cell death brought on by changes in the cell’s microenvironment) and apoptosis (a sort of programmed cell death that takes place when a cell reaches the end of its normal lifespan). We offer a modified, simplified model and study how the relative importance of these mechanisms shifts as the tumour enlarges using a mix of numerical and analytical methods.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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