隨著生醫工程研究的快速發展進步，熱傳學應用於生物體上的研究逐漸受到重視，因此生物熱傳與生物組織之物理性質的估測在生物醫學的研究和應用就變得更加重要。
本研究將針對生物熱傳做數值模擬。在研究中將以Pennes生物熱傳方程式為基礎，建立起非傅立葉生物熱傳方程式，以求解生物組織內溫度分布情形；此外，搭配殘差修正法建立殘差關係式來求出相對於正確解之較大及較小近似值。在研究中將對生物組織的非傅立葉熱傳效應與週期性溫度變化邊界對生物組織內溫度場的影響進行研究，並利用殘差修正法所求出的較大及較小近似解來做誤差分析。

With the development of the biomedical engineering, the study of behavior of heat transfer in a body becomes important and it is an interesting issue to investigate bio‐heat transfer and the estimation of thermophysical properties of the bio‐tissue.
The numerical investigation of bio‐heat transfer is studied. The non‐Fourier bio‐heat transfer equation based on the Pennes bio‐heat transfer equation is developed. The temperature distribution of bio‐tissue is solved numerically. The residual correction method is adopted to determine the upper/lower approximate solutions. The effects of non‐Fourier heat transfer and boundary condition on the temperature field is also investigated. Finally, the error‐analysis is attained by using the upper/lower approximate solutions.

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