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On multistep tumor growth models of fractional variable-order
Carlos A Valentim1, José A Rabi1, Sergio A David1
1Department of Biosystems Engineering, University of São Paulo at Pirassununga, Brazil.
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.
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