Bio-heat regimes in fractal-based models of tumors

Sébastien Fumeron, Malte Henkel and Alexander López

Chaos, Solitons & Fractals, 2025, vol. 199, issue P3

Abstract: Anomalous heat diffusion is investigated for biological tissues displaying a fractal structure and long-term thermal memory, which is modelled via a temporal fractional derivative. For increasing values of the fractional derivation order, the tissue temperature displays three kinds of bio-heat regimes: damped (or sub-diffusive), critical damping and under-damped oscillations. The temperature profiles depend on the fractal dimension of the tissue but notably also on a parameter related to its topology: the spectral dimension. The parametric analysis reveals that these two parameters have antagonistic effects on the pseudo period of the temperature oscillations and their amplitudes.

Keywords: Bioheat equation; Fractal dimension; Fractional diffusion; Spectral dimension (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p3:s0960077925008161

DOI: 10.1016/j.chaos.2025.116803

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