Research Papers: Bio-Heat and Mass Transfer

Efficient Cellular Automata Method for Heat Transfer in Tumor

[+] Author and Article Information
Wu Jinghua

Assistant Professor
Institute of Advanced Manufacturing Technology,
Hefei Institutes of Physical Science,
Chinese Academy of Sciences,
Changzhou 213164, China;
Department of Engineering Physics,
Tsinghua University,
Beijing 100084, China
e-mail: wjh@iamt.ac.cn

Guo Zhendong

Fuzhou Haolian,
Medical Technology Co., Ltd.,
e-mail: guozhendong@yahoo.cn

Chen Jian

Associate Professor
Institute of Advanced Manufacturing Technology,
Hefei Institutes of Physical Science,
Chinese Academy of Sciences,
Changzhou 213164, China

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 9, 2013; final manuscript received March 4, 2014; published online March 21, 2014. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 136(7), 071101 (Mar 21, 2014) (6 pages) Paper No: HT-13-1343; doi: 10.1115/1.4027147 History: Received July 09, 2013; Revised March 04, 2014; Accepted March 05, 2014

Magnetic interstitial hyperthermia is a hopeful treatment method for tumor. Before treatment, the tumor would be embedded with a number of ferromagnetic seeds, which can produce energy under an alternating magnetic field. The tumor cells would be necrosed once the temperature exceeding to a value. However, the normal tissue around the tumor is expected to be under safety. Hence, temperature simulation is necessary to avoid any mistake treatment planning, meanwhile, the calculation is required as quick as possible. We developed an efficient cellular automata (CA) numerical method to solve the bioheat transfer equation. The CA equation is derived from Lattice Boltzmann equation. As a discrete numerical method in space and time, CA can be used to deal with the complicated boundaries, such as the huge vessels incorporated in the tumor, which were not well treated in traditional methods. The model of ferromagnetic seed, which is critical to the numerical results, is treated with a simple numerical temperature model. In order to evaluate the proposed method, in vitro and in vivo experiments are carried out, respectively. After comparison between the numerical and the experimental results, the proposed method shows perfect calculation precision and high efficiency, which is significant for clinical treatment.

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Fig. 1

The schematic of magnetic interstitial hyperthermia

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Fig. 2

The ratio of power absorption respect to the temperature

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Fig. 3

The magnetic generator

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Fig. 4

The ferromagnetic seed

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Fig. 5

Distributions of the seeds and the thermometers

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Fig. 6

The schematic of in vivo muscle experiment

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Fig. 7

Comparison between the numerical and the experimental results (phantom)

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Fig. 8

Comparison between the numerical and the experimental results (in vivo)

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Fig. 9

Comparison of computing efficiency



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