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🚨   A Systems Biology view of Breast cancer via Fractal Geometry and Fractional Calculus

science

:2505.07338v1 Announce Type: new Abstract: Breast cancer (BC) is the most widespread cancer globally, yet current diagnostic and prognostic methods inadequately capture its biological complexity, despite the benefits of early detection. Cancer systems biology (SB) has advanced over the past two decades as a multiscale approach, but often neglects morphological complexity observable at cellular, tissue, and tumor levels. Structural organization significantly influences system behavior, necessitating the identification of scales where morphological features emerge. Fractal geometry (FG) provides quantitative tools to assess the irregular, scale-invariant structures typical of cancer. Alongside FG, fractional calculus (FC) offers a framework to model memory-dependent and non-local dynamics.

arXiv     May 13, 2025