Growth rate, growth curve and growth prediction of tumour in the competitive model

Mahdi Sohrabi-Haghighat and Atefeh Deris

Mathematical and Computer Modelling of Dynamical Systems, 2020, vol. 26, issue 2, 193-203

Abstract: The growth of cancer is still the focus of many research works in the scientific community. So far, various models have been introduced to analyse the behaviour of cancers, including the mathematical growth models such as Logistic, Gompertz and Bertalany. Despite the advances in the analysis of the cancer behaviour, the lack of definitive treatment of cancer disease indicates the need for new perspectives which are supported by more biological background. Recently, a model has been proposed, in which, the tumour growth is interpreted as the outcome of the competition of healthy and cancer cells over the available oxygen, nutrients and space. We have modified this model in order to provide the necessary preparations for wider use of the model in growth rate, growth curve and growth prediction of tumours. Meanwhile, the model is performed on some experimental data to show its capabilities.

Date: 2020
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DOI: 10.1080/13873954.2020.1738498

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