Iizuka M N, Vitkin I A, Kolios M C, Sherar M D
The Ontario Cancer Institute and Department of Medical Biophysics, University of Toronto, Canada.
Phys Med Biol. 2000 May;45(5):1335-57. doi: 10.1088/0031-9155/45/5/317.
A nonlinear mathematical model was developed and experimentally validated to investigate the effects of changes in optical properties during interstitial laser photocoagulation (ILP). The effects of dynamic optical properties were calculated using the Arrhenius damage model, resulting in a nonlinear optothermal response. This response was experimentally validated by measuring the temperature rise in albumen and polyacrylamide phantoms. A theoretical study of ILP in liver was conducted constraining the peak temperatures below the vaporization threshold. The temperature predictions varied considerably between the static and dynamic scenarios, and were confirmed experimentally in phantoms. This suggests that the Arrhenius model can be used to predict dynamic changes in optical and thermal fields. An increase in temperature rise due to a decrease in light penetration within the coagulated region during ILP of the liver was also demonstrated. The kinetics of ILP are complex and nonlinear due to coagulation, which changes the tissue properties during treatment. These complex effects can be adequately modelled using an Arrhenius damage formulation.
开发了一个非线性数学模型并进行了实验验证,以研究间质激光光凝(ILP)过程中光学特性变化的影响。使用阿伦尼乌斯损伤模型计算动态光学特性的影响,从而产生非线性光热响应。通过测量白蛋白和聚丙烯酰胺模型中的温度升高,对该响应进行了实验验证。对肝脏中的ILP进行了理论研究,将峰值温度限制在汽化阈值以下。静态和动态情况下的温度预测有很大差异,并在模型中得到了实验证实。这表明阿伦尼乌斯模型可用于预测光学和热场中的动态变化。还证明了在肝脏ILP过程中,由于凝固区域内光穿透率降低导致温度升高增加。由于凝固作用,ILP的动力学是复杂且非线性的,凝固作用在治疗过程中会改变组织特性。使用阿伦尼乌斯损伤公式可以充分模拟这些复杂效应。