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一种生物优化方法用于碳疗法通过代的雅可比式基于线性化

Chao Wang¹, Ya-Nan Zhu¹, Wangyao Li¹

¹Department of Radiation Oncology, University of Kansas Medical Center, Kansas, KS, United States of America.

Physics in medicine and biology

|April 25, 2025

概括

一种新的代雅可比式线性化 (IJL) 方法通过准确高效地优化生物剂量来改进碳离子放射治疗 (CIRT) 规划,从而更好地控制瘤并减少正常组织损伤.

科学领域:

医学物理医学物理
辐射瘤学辐射瘤学
计算生物学计算生物学

背景情况:

与光子或质子疗法相比,碳离子辐射疗法 (CIRT) 对放射性耐药瘤提供了更高的生物学有效性.
在CIRT中优化生物剂量对于最大化瘤杀伤效应至关重要,同时最大限度地减少对周围正常组织和有风险的器官 (OAR) 的损害.
现有的CIRT生物剂量优化方法面临着由于非线性生物剂量模型的数学挑战,导致计算效率低下和不准确.

研究的目的:

为碳离子放射治疗 (CIRT) 开发一种准确有效的生物剂量优化方法.
解决CIRT中非线性生物剂量模型所带来的计算挑战.
通过增强瘤杀伤剂剂量输送和OAR节省来改善治疗规划.

主要方法:

在CIRT中引入了代的基于Jacob的线性化 (IJL) 方法,用于生物剂量优化.
使用物理剂量和相对生物效应的乘积来建模生物剂量,基于线性二次和局部效应模型.
采用代凸放松,用雅可比式近似对非线性生物剂量进行线性化,并通过乘数的交替方向方法 (ADMM) 解决子问题.
将IJL与有限内存的准牛顿 (QN) 方法进行比较,该方法直接解决了非线性优化问题.

主要成果:

与QN方法相比,IJL表现出更高的计划准确性,通过改进的OAR节省证明了这一点.
在围绕临床目标体积 (CTV) 的规划目标体积1cm (PTV1cm) 中的生物剂量减少到89.7% (大脑),95.0% (肺) 和88.3% (腹部) 的IJL.
与QN相比,IJL的计算效率显著提高,每次代需要大约1/10的计算时间.
IJL显示了持续下降的目标函数,而QN方法在一定数量的代后停滞不前.

结论:

新型代的基于雅可比式线性化 (IJL) 算法准确有效地解决了CIRT的生物优化问题.
在规划准确性和计算效率方面,IJL比QN等直接非线性优化方法具有显著的优势.
这种方法有助于推进CIRT治疗计划,使得癌症治疗更精确,更有效.

关键词:

生物剂量是生物剂量.碳疗法是一种碳疗法.相反的优化反向优化微粒疗法是一种微粒疗法.治疗计划治疗计划

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