Fractional Mathematical Oncology: On the potential of non-integer order calculus applied to interdisciplinary models

Mathematical Oncology investigates cancer-related phenomena through mathematical models as comprehensive as possible. Accordingly, an interdisciplinary approach involving concepts from biology to materials science can provide a deeper understanding of biological systems pertaining the disease. In th...

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Bibliographic Details
Published in:BioSystems 2021-06, Vol.204, p.104377-104377, Article 104377
Main Authors: Valentim, Carlos A., Rabi, José A., David, Sergio A.
Format: Article
Language:English
Subjects:
Cancer
Fractional calculus
Hybrid models
Mathematical biology
Physics-based models
Review
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Summary:Mathematical Oncology investigates cancer-related phenomena through mathematical models as comprehensive as possible. Accordingly, an interdisciplinary approach involving concepts from biology to materials science can provide a deeper understanding of biological systems pertaining the disease. In this context, fractional calculus (also referred to as non-integer order) is a branch in mathematical analysis whose tools can describe complex phenomena comprising different time and space scales. Fractional-order models may allow a better description and understanding of oncological particularities, potentially contributing to decision-making in areas of interest such as tumor evolution, early diagnosis techniques and personalized treatment therapies. By following a phenomenological (i.e. mechanistic) approach, the present study surveys and explores different aspects of Fractional Mathematical Oncology, reviewing and discussing recent developments in view of their prospective applications. [Display omitted]
ISSN:0303-2647
1872-8324
DOI:10.1016/j.biosystems.2021.104377