  We report a model for hyperthermia therapies based on heat diffusion in a
biological tissue containing a topological defect. Biological tissues behave
like active liquid crystals with the presence of topological defects which are
likely to anchor tumors during the metastatic phase of cancer evolution and the
therapy challenge is to destroy the cancer cells without damaging surrounding
healthy tissues. The defect creates an effective non-Euclidean geometry for
low-energy excitations, modifying the bio-heat equation. Applications to
protocols of thermal ablation for various biological tissues (liver, prostate,
and skin) is analyzed and discussed.
