基于RC电路模型的激光诱导生物组织光热效应

针对激光诱导生物组织温升预测问题提出了一种新的RC电路理论模型。根据基尔霍夫电压定律(KVL)推导了RC电路的系统函数和单位冲激响应,根据单位冲激响应和矩形输入信号的卷积得到RC电路的零状态响应模型,由激光照射下生物组织温度实验结果确定模型中的两个固定参数,提出了两种模型参数计算方法并进行模拟计算。理论计算与实验结果显示温度响应曲线一致,肝脏和肌肉组织峰值温度相对误差范围分别为-0.0557℃～-0.0025℃和0.0139℃～0.0641℃,温度曲线平均相对误差范围分别为0.55%～2.39%和0.38%～0.99%,这种方法较经典的Pennes生物热传输方程模型所需参数少,精度更高,为激光与生物组织光热效应研究提供了一种新方法。

Laser-Induced Biological-Tissues Photothermal Effect Based on RC Circuit Model

A new theoretical model of an RC circuit is proposed for prediction problem of laser induced biological tissue temperature rise. The RC circuit system function and unit impulse response are deduced based on Kirchhoff′s voltage law (KVL). Then RC circuit zero state response model is deduced from the convolution of unit impulse response and rectangle input signal. The two model constant parameters are calculated from experimental results of the laser irradiated bio-tissues temperature. Two model parameter calculation methods are proposed and simulated. Theoretical calculation and experimental results show that the temperature response curves are consistent. Relative error ranges of liver and muscle tissue peak temperature are -0.0557 ℃~-0.0025 ℃ and 0.0139 ℃～0.0641 ℃ respectively, and average relative error ranges of the temperature curve are 0.55%～2.39% and 0.38%～0.99% respectively. This method needs less parameters and is more precise than classical Pennes bio-heat transfer equation model, which provides a new method for laser and bio-tissues photothermal effect research.