在高温治疗过程中对非线性生物热传递问题的基本解决方法和高阶延续方法
El-Houssaine El-Asri1, Abdeljalil Tri2, Bouazza Braikat1
1Laboratoire de Physique de La Matière Condensée (LPMC), Faculté des Sciences Ben M'Sik, Université Hassan II de Casablanca, B.P 7955, Sidi Othman, Casablanca, Morocco.
Journal of thermal biology
|October 28, 2025
概括
这项研究提出了一个强大的算法,用于建模高温症癌症治疗. 高序列延续法和基本解决方法准确估计温度分布,防止健康组织受损.
科学领域:
- 生物医学工程 生物医学工程
- 计算数学 计算数学 计算数学
- 癌症治疗 癌症治疗
背景情况:
- 过热治疗增加组织温度,以摧毁癌细胞或增强其他疗法.
- 无法控制的温度升高会损害周围健康的组织.
- 准确的温度建模对于有效和安全的高温至关重要.
研究的目的:
- 检查在高温期间在二维皮肤模型中的温度分布.
- 为解决非线性生物热传递问题提出一个强大的数值算法.
- 确保精确的温度估计,以防止健康组织损伤.
主要方法:
- 使用高顺序延续方法 (HOCM) 与基本解决方法 (MFS) 相结合.
- 通过泰勒数列扩展,将非线性生物热传递问题 (由于温度依赖的血液 perfusion) 转化为一系列线性问题.
- 结合MFS与辐射基函数 (RBF) 和模拟方程方法 (AEM) 解决方程,特别是具有变量系数的方程.
主要成果:
- 证明了HOCM-MFS算法的稳定性,用于非线性生物热传递问题.
- 在二维皮肤模型中成功计算了温度分布.
- 提供了一种方法来准确估计在高温治疗期间的温度概况.
结论:
- HOCM-MFS算法是有效的模拟温度依赖的生物热转移在高温症.
- 这种方法可以实现精确的温度控制,这对于优化癌症治疗疗效和最大限度地减少副作用至关重要.
- 这项研究为推进高温症治疗提供了有价值的计算工具.
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