在双重Allee效应下,对瘤免疫动态的分支分析
Eymard Hernandez-Lopez1, Xiunan Wang1
1Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Ave, Chattanooga, 37403, TN, USA.
Mathematical biosciences
|June 25, 2025
概括
在瘤-免疫模型中的双路径效应会影响人群动态. 适度的Allee效应可以促进生长,而较大的效应则简化了系统的复杂性,揭示了癌症治疗的关键值.
科学领域:
- 数学生物学 数学生物学
- 免疫学 免疫学 免疫学
- 癌症研究 癌症研究
背景情况:
- 瘤-免疫相互作用对于癌症的进展和治疗至关重要.
- 在人口密度较低的情况下,描述人均增长减少的小效应,可以影响生态动态.
研究的目的:
- 为了研究双环效应对瘤免疫相互作用的影响.
- 分析艾利在癌症和免疫细胞中的效应如何影响系统稳定性和动态.
主要方法:
- 开发和分析一个普通微分方程 (ODE) 模型.
- 在不同的艾利效应强度下,研究平衡点稳定性.
- 两叉分析用于识别系统动态中的关键过渡.
主要成果:
- 适度的Allee效应可以导致人口快速增长和复杂的动态.
- 较大的Allee效应倾向于减少瘤与免疫相互作用的复杂性.
- 该模型展示了丰富的分叉结构,包括共维一和二分叉.
结论:
- 合体效应在塑造瘤免疫动态方面发挥着重要作用.
- 确定与Allee效应相关的关键值对于了解癌症进展至关重要.
- 这些发现可能有助于开发个性化抗瘤疗法.
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