结合热力学基本定律和热辐射理论, 改进了Pennes生物热传导方程, 描述艾灸生物组织内的热量传递过程。采用Green函数法推导了其解析解, 建立了定量解释艾灸不同生物组织如健康组织、肿瘤组织的温度变化行为的方法。提出温度衰减系数的概念来衡量组织内不同深度处的能量吸收情况。艾灸时皮肤表面温度的变化趋势与仿真结果的一致性验证了方法的有效性。振荡的能量流对于组织是温和的刺激, 这是生物组织实现良好功能的物理兴奋剂。结果表明, 高频能量主要被皮肤表层吸收, 而低频能量可以深入到生物组织内部。重要的是, 疾病可以通过艾灸热的深透作用来治疗。

Combined with the fundamental theorems of thermodynamics and the heat radiation theory, Pennes bioheat equation is improved, which can describe the thermal process in tissue subject to heat stimulation of moxibustion more vividly. Applying the Green function method, we derive the analytical solution of the equation and establish a straightforward way to quantitatively interpret the temperature behavior of living tissues, such as healthy tissue, tumor tissue, non-acupoint tissue and acupoint tissue, as a result of moxibustion. The concept of temperature attenuation coefficient (TAC) is proposed to measure the energy absorption at different depth of tissue. The coherence between the simulation and experiment about surface temperature demonstrates the flexibility and availability of the solution. The oscillation energy flow has a mild stimulus to the biological tissues, which is an advantageous physical exciter for organization to achieve its good functions. Our results reveal that the heat with high frequency is mainly absorbed by the surface layer, while that of low frequency can deeply penetrate into the living biological parts. Significantly, the diseases can be treated by moxibustion heat through the role of deep penetration.