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对瘤 - 巨细胞相互作用的随机建模的动态分析,包括乘法和加法噪声
Han Ma1, Ke Qi1, Yuyang Xiao1
1School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, China.
Chaos (Woodbury, N.Y.)
|July 14, 2025
概括
瘤生长动态受到瘤免疫微环境中的噪音的影响. 增殖噪声是瘤清除的关键,而增殖噪声主要影响细胞分布,为癌症进展提供了新的见解.
科学领域:
- 数学生物学 数学生物学
- 计算生物学 计算生物学
- 免疫学 免疫学 免疫学
背景情况:
- 瘤进展是复杂的,受瘤免疫微环境中的动态相互作用的影响.
- 这种微环境中的波动和不确定性可以显著影响癌症的发展和免疫反应.
研究的目的:
- 调查噪音对瘤细胞动态和巨细胞反应的影响 (乘法和添加).
- 开发和分析瘤-免疫相互作用的新型随机反应-对流模型.
主要方法:
- 利用时间单细胞数据开发一个随机反应对流模型.
- 应用了随机莱普诺夫分析,比较定理,和数学分析的ergodicity定理.
- 在数值模拟中采用上风有限差异方案.
主要成果:
- 导出了瘤生长和清除的条件,显示倍数噪声对于清除至关重要.
- 添加噪声主要作为扩散因子,影响细胞分布,但不影响平均密度.
- 相关的添加和乘法噪声可以增强瘤细胞的消除.
结论:
- 噪音,特别是乘数噪音,在调节瘤进展和免疫反应方面发挥着至关重要的作用.
- 开发的随机模型为理解复杂的瘤免疫动态提供了一个框架.
- 这些发现为针对瘤微环境的潜在治疗策略提供了新的见解.
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