Geometric Optimization of a Mathematical Model of Radiofrequency Ablation in Hepatic Carcinoma

Radio frequency ablation (RFA) is an effective means of achieving local control of liver cancer. It is aparticularly suitable mode of therapy for small and favorably located tumors. However, local progression ratesare substantially higher for large tumors (>3.0 cm). In the current study, we report on a mathematical modelbased on geometric optimization to treat large liver tumors. A database of mathematical models relevant to theconfiguration of liver cancer was also established. The specific placement of electrodes and the frequency ofablation were also optimized. In addition, three types of liver cancer lesion were simulated by computer guidanceincorporating mathematical models. This approach can be expected to provide a more effective and rationalemechanism for employing RFA in the therapy of hepatic carcinoma.