Temperature Response in Double Layer Sphere Tissue Analysis by Differential Transformation Method for Surface Heating Problems

微分轉換法求解雙層球體生物組織表面加熱之溫度反應

林松義(Song-Yih Lin) ； 賴新一(Hsin-Yi Lai) ； 陳朝光(Cha'o-Kuang Chen)

《中國機械工程學刊》 33卷6期 (2012/12) Pp. 507-516

https://doi.org/10.29979/JCSME.201212.0005

摘要

熱波模型生物熱傳和Pennes模型常用於分析研究生物組織受到雷射光熱源照射時的熱傳現象。當內層是癌細胞組織，外層是正常細胞組織所構成的雙層同心球形生物組織模型受到內部熱源作用時，我們使用結合微分轉換法及有限差分數值的混合法，模擬求解在不同層不同物理性質之下熱波模型生物熱方程式。在本文中探討三種不同的熱源表面加熱問題，模擬在球座標系統和癌細胞和正常細胞交接面的熱傳現象。探討並比較由傳統Pennes方程式和熱波模型生物熱傳方程式所模擬求得之結果。

並列摘要

Thermal analyses of biological tissues irradiated to laser-induced heat source were studied by using thermal wave model of bio-heat transfer and the Pennes model. As a model, two concentric layers of spherical tissues, a diseased tissue and a healthy tissue, with various thermal physical properties were simulated and thermal wave model of bio-heat transfer equations were solved by a hybrid scheme combined the differential transformation method and finite difference method. Three types of surface heating problems were analyzed. Finally, the thermal variations were simulated in spherical coordinate and the interface between the diseased tissue and healthy tissue of the model. Comparative studies on the traditional Pennes equation and thermal wave model of bio-heat transfer were performed and evaluated. Furthermore, temperature variations in tumor exposed to laser-induced heat were predicted depending on heat flux, elevation temperature, decaying factor and thermal relaxation time.

並列關鍵字

differential transformation ； bio-heat transfer ； hyperthermia ； thermal wave