由高斯和非高斯噪音驱动的瘤状态过渡
Mengjiao Hua1, Yu Wu1,2,3
1Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province and Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China.
Mechanobiology in medicine
|May 21, 2025
概括
分析瘤状态的转变,使用对随机流域稳定性的噪声效应. 增强负相关和非高斯噪声是破坏兴奋状态和提高癌症治疗疗效的关键.
科学领域:
- 理论物理学的理论物理.
- 生物物理学的生物物理.
- 数学建模的数学建模
背景情况:
- 瘤进展涉及高细胞度盆地和低细胞度盆地之间的状态过渡.
- 了解噪音引起的转变对于有效的癌症治疗至关重要.
- 以前的模型通常简化了噪声特征,限制了适用性.
研究的目的:
- 在高斯白色和非高斯彩色噪声下调查瘤状态过渡.
- 分析噪声特性对随机流域稳定性的影响.
- 确定治疗疗效的最佳噪声条件.
主要方法:
- 使用最可能的稳定状态 (MPSS) 来进行高斯白噪声分析.
- 对于非高斯色噪声,采用基于第一次逃逸概率 (FEP) 的随机吸引盆 (SBA).
- 使用统一的彩色噪声近似 (UCNA) 推导的马尔科夫系统.
- 分析的静态概率密度函数 (SPDF) 极端控制方程.
主要成果:
- 非高斯色噪声,与高斯白噪声不同,可以影响过渡.
- 交叉相关的噪音在SBA监管中表现出双重作用.
- 增加的SBA意味着更难逃离兴奋状态,与较差的治疗结果相关.
- 负相关噪声和较长的非高斯噪声相关时间会破坏激发盆地的稳定.
结论:
- 噪声特征显著影响瘤状态过渡和治疗疗效.
- 对噪声参数进行战略操纵,特别是增强负相关性和非高斯噪声相关时间,至关重要.
- 通过优化噪音来破坏激发瘤状态的稳定性,对于获得更好的治疗结果至关重要.
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