On multistep tumor growth models of fractional variable-order.
On multistep tumor growth models of fractional variable-order.
Biosystems. 2020 Nov 25;:104294
Authors: Valentim CA, Rabi JA, David SA, Tenreiro Machado JA
Abstract
Fractional mathematical oncology is a research topic that applies non-integer order calculus to tackle cancer problems such as tumor growth analysis or its optimal treatment. This work proposes a multistep exponential model with a fractional variable-order representing the evolution history of a tumor. Model parameters are tuned according to variable fractional order profiles while assessing their capability of fitting a clinical time series. The results point to the superiority of the proposed model in describing the experimental data, thus providing new perspectives for modeling tumor growth.
PMID: 33248201 [PubMed - as supplied by publisher]
Source: Biosystems - Category: Biotechnology Authors: Valentim CA, Rabi JA, David SA, Tenreiro Machado JA Tags: Biosystems Source Type: research