跨移动前线的空间分离在基于个体的和连续模型中,用于异质细胞群的生长
José A Carrillo1, Tommaso Lorenzi2, Fiona R Macfarlane3,4
1Mathematical Institute, University of Oxford, Oxford, UK. carrillo@maths.ox.ac.uk.
Bulletin of mathematical biology
|May 19, 2025
概括
这项研究模拟了异质细胞种群,表明不同的细胞流动性在入侵前线保持空间分离. 移动性更高的细胞通过占领领先地区来驱动入侵.
科学领域:
- 数学生物学 数学生物学
- 细胞动力学细胞动力学
- 人口建模的人口建模
背景情况:
- 异质细胞群体表现出复杂的行为.
- 了解细胞运动和压力对于生长动态至关重要.
- 表型差异影响细胞形态和机制.
研究的目的:
- 开发和分析一个偏微分方程模型,用于异质细胞种群增长.
- 调查表型依赖细胞特性在种群动态中的作用.
- 为了研究侵入细胞前线的移动波解决方案和空间分离.
主要方法:
- 开发了一种基于细胞压力梯度的部分微分方程模型.
- 从使用连续极限的基于个体的格子模型中推导出模型.
- 分析移动波的解决方案,并进行数值模拟.
主要成果:
- 该模型捕捉了取决于表型的细胞流动性和压力贡献.
- 移动波解决方案显示在入侵前线的表型的空间分离.
- 数字模拟与分析结果一致,并显示出极好的一致性.
结论:
- 移动性的细胞间变异性支持跨入侵前线的空间隔离.
- 具有更高流动性的细胞驱动了靠近前线的占领地区的入侵.
- 该模型提供了对异质细胞群体集体行为的洞察.
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