Physics Practical Magic

Whether heat can kill a tumor depends entirely on its shape—if it's too jagged and fractal, the treatment might fail.

arXiv · March 18, 2026 · 2603.16499

Mario Olmo-Fajardo, Alexander López, Malte Henkel, Sébastien Fumeron

The Takeaway

Current models for heat-treating cancer often fail because they assume human tissue is uniform. This study found that the complex, branching geometry of cancer tissue controls how heat flows through it, meaning we can predict treatment success just by looking at the tumor's structural complexity.

From the abstract

Clinical thermal ablation outcomes display significant variability that classical bio-heat models cannot fully explain. One reason may lie in the fractal architecture of biological tissues, which has been identified as a robust biomarker directly correlated with cancer grades. This structural heterogeneity, together with memory effects (e.g., thermotolerance), causes heat transfer in living tissues to differ from Fourier diffusion, resulting in anomalous biological transport.In this work, we imp