一种有限元方法,用于模拟组织中α-发射粒子的扩散
Irene P Zhang1, Gilad N Cohen1, Antonio L Damato1
1Department of Medical Physics, Memorial Sloan Kettering Cancer Center, New York City, New York, USA.
Medical physics
|October 25, 2023
概括
一种新的有限元方法准确地模拟了对固体瘤的辐射疗法剂量递送. 这种方法验证了先前的解决方案,并强调了对扩散-泄漏模型参数进行进一步研究的需要.
科学领域:
- 医学物理 医学物理
- 计算生物学 计算生物学
- 放射治疗研究 放射治疗研究
背景情况:
- 扩散阿尔法发射器辐射疗法 (DaRT) 使用间歇性Ra来源进行固体瘤治疗.
- 从衰变中的α粒子Ra和它的女儿创造了一个局部瘤杀伤区域.
- 扩散-泄漏 (D-L) 模型描述了瘤组织中的α-发射体运输.
研究的目的:
- 开发一种灵活的有限元素方法 (FEM) 来解决D-L模型.
- 为了验证DL模型的现有数值解决方案 (DART1D,DART2D).
- 根据D-L模型参数评估剂量变化.
主要方法:
- 用FEniCS开发了一个2D FEM解决方案,用于DL模型.
- 变化公式在一个非结构化的三角拉格朗元素网上被解决.
- 根据DART1D和DART2D结果验证了局部剂量计算.
主要成果:
- 与DART1D/DART2D相比,FEM解决方案在源中平面上显示<1%的差异,在源轴上显示<3%.
- 在高梯度区域与更密集的FEM网格中,差异更大.
- 在2毫米处的源中平面中,剂量在实验参数范围内以3的系数变化.
结论:
- 2D FEM模型根据D-L模型假设准确地复制了DART1D/DART2D剂量计算.
- 显著的剂量变化需要进一步的研究来确定模型参数的统计分布.
- 在D-L模型之外,FEM模型可以适应多种2D几何形状的剂量计算.
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