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

• Wang, Kai-Feng (Department of Oncology, Sir Run Run Shaw Hospital, Medical School, Zhejiang University) ;
• Pan, Wei (Department of Mathematics, Zhejiang University) ;
• Wang, Fei (Department of Mathematics, Zhejiang University) ;
• Wang, Gao-Feng (Department of Oncology, Sir Run Run Shaw Hospital, Medical School, Zhejiang University) ;
• Madhava, Pai (HPB Surgical Unit, Department of Surgery and Cancer, Imperial College Healthcare NHS Trust, Hammersmith Hospital campus) ;
• Pan, Hong-Ming (Department of Oncology, Sir Run Run Shaw Hospital, Medical School, Zhejiang University) ;
• Kong, De-Xing (Department of Mathematics, Zhejiang University) ;
• Liu, Xiang-Guan (Department of Mathematics, Zhejiang University)
• Published : 2013.10.30
• 119 28

#### Abstract

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

#### Keywords

Radio frequency ablation;mathematical model;geometric optimization;hepatic carcinoma;cover sphere

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