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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.16499 |
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| _version_ | 1866917349992431616 |
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| author | Olmo-Fajardo, Mario López, Alexander Henkel, Malte Fumeron, Sébastien |
| author_facet | Olmo-Fajardo, Mario López, Alexander Henkel, Malte Fumeron, Sébastien |
| contents | 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 implemented a realistic fractal-fractional bio-heat model, with non-linear perfusion and PI-controlled power delivery, to quantify the role of tissue fractality in ablation outcomes. Our results reveal that the expansion of coagulation zones is jointly controlled by fractal geometry and its associated topological connectivity. These findings highlight spectral dimension as a key driver of clinical variability, successfully reproducing the reduced ablative efficacy in liver metastases compared to primary carcinomas, and provide evidence for topologically informed treatment strategies for the thermal ablation of malignant neoplasms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16499 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fractal and Spectral Dimensions as Determinants of Thermal Ablation Outcomes in Cancer Tissues Olmo-Fajardo, Mario López, Alexander Henkel, Malte Fumeron, Sébastien Statistical Mechanics Disordered Systems and Neural Networks Biological Physics Medical Physics 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 implemented a realistic fractal-fractional bio-heat model, with non-linear perfusion and PI-controlled power delivery, to quantify the role of tissue fractality in ablation outcomes. Our results reveal that the expansion of coagulation zones is jointly controlled by fractal geometry and its associated topological connectivity. These findings highlight spectral dimension as a key driver of clinical variability, successfully reproducing the reduced ablative efficacy in liver metastases compared to primary carcinomas, and provide evidence for topologically informed treatment strategies for the thermal ablation of malignant neoplasms. |
| title | Fractal and Spectral Dimensions as Determinants of Thermal Ablation Outcomes in Cancer Tissues |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Biological Physics Medical Physics |
| url | https://arxiv.org/abs/2603.16499 |