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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2012005909
pages 273-302

RECENT ADVANCES IN MODELING AND COMPUTING THE THREE-DIMENSIONAL BIOHEAT TRANSFER WITH PHASE CHANGE IN CRYOSURGICAL ABLATION OF TUMOR TISSUES

Jing Liu
Beijing Key Lab of Cryo-Biomedical Engineering and Key Lab of Cryogenics, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing, 100190, China; School of Future Technology, University of Chinese Academy of Sciences, Beijing, 100039, China; Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, 100084, China
Zhong-Shan Deng
Key Laboratory of Cryogenics, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing, China

ABSTRACT

Numerical simulation for bioheat transfer problems with phase change has significant applications in planning cryosurgical treatment of tumor. A detailed knowledge of temperature distributions around the target tumor tissues is critical for designing and administrating an optimum cryosurgery. However, many critical issues such as the moving boundaries in a computational domain due to a phase change, large amount of computer time for predicting the entire temperature field, irregularities in tissue structures, existence of discrete large blood vessels, nonlinearity of the bioheat transfer model, etc. significantly pose difficulties with numerical simulation. This review is devoted to providing an overview of several numerical strategies which have special flexibility and generality in dealing with part of the above issues in three‐dimensional cases. The strategies include the effective heat capacity method, finite difference method, and the dual reciprocity boundary element method including parallel computing modality, etc. for solving phase change problems. They are applied in treating cryosurgical ablation of tumor tissues with blood flow in large vessels. The prospects and possible challenges for numerical simulation of bioheat transfer problems with phase changes are also discussed. The numerical algorithms outlined in this review could help in developing treatment planning software which may be used in clinical cryosurgery at no distant future.