Department of Biosystems Engineering, University of São Paulo at Pirassununga, Brazil.
Institute of Engineering, Polytechnic of Porto, Portugal.
Biosystems. 2021 Jan;199:104294. doi: 10.1016/j.biosystems.2020.104294. Epub 2020 Nov 25.
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.
分数数学肿瘤学是一个应用非整数阶微积分来解决癌症问题的研究课题，如肿瘤生长分析或其最佳治疗。本工作提出了一个多步骤指数模型，其中分数变量阶代表肿瘤的演化历史。根据变量分数阶的分布来调整模型参数，并评估它们拟合临床时间序列的能力。结果表明，所提出的模型在描述实验数据方面具有优越性，从而为肿瘤生长建模提供了新的视角。
