Erkol Hakan, Nouizi Farouk, Luk Alex, Unlu Mehmet Burcin, Gulsen Gultekin
Opt Express. 2015 Nov 30;23(24):31069-84. doi: 10.1364/OE.23.031069.
In this work, we present a new analytical approach to model continuous wave laser induced temperature in highly homogeneous turbid media. First, the diffusion equation is used to model light transport and a comprehensive solution is derived analytically by obtaining a special Greens' function. Next, the time-dependent bio-heat equation is used to describe the induced heat increase and propagation within the medium. The bio-heat equation is solved analytically utilizing the separation of variables technique. Our theoretical model is successfully validated using numerical simulations and experimental studies with agarose phantoms and ex-vivo chicken breast samples. The encouraging results show that our method can be implemented as a simulation tool to determine important laser parameters that govern the magnitude of temperature rise within homogenous biological tissue or organs.
在这项工作中,我们提出了一种新的分析方法,用于对高度均匀的浑浊介质中连续波激光诱导的温度进行建模。首先,使用扩散方程对光传输进行建模,并通过获得一个特殊的格林函数来解析推导一个全面的解。接下来,使用随时间变化的生物热方程来描述介质内诱导的热增加和传播。利用变量分离技术对生物热方程进行了解析求解。我们的理论模型通过使用数值模拟以及对琼脂糖模型和离体鸡胸样本的实验研究得到了成功验证。令人鼓舞的结果表明,我们的方法可以作为一种模拟工具来确定控制均匀生物组织或器官内温度升高幅度的重要激光参数。