连接细胞诞生和迁移的离散和连续模型
W Duncan Martinson1, Alexandria Volkening2, Markus Schmidtchen3
1Mathematical Institute, University of Oxford, Oxford, UK.
Royal Society open science
|July 18, 2024
概括
这项研究弥合了生物自我组织的离散和连续模型. 我们引入了缩放参数,将基于个体的数据与连续模型联系起来,改善了细胞动态的预测.
科学领域:
- 数学生物学 数学生物学
- 发育生物学 发展生物学
- 系统生物学 系统生物学
背景情况:
- 生物集体中的自我组织至关重要,但很难建模.
- 分析模型往往缺乏生物直觉,而离散模型可以是计算密集的.
- 连接连续和离散建模方法对于理解集体动态至关重要.
研究的目的:
- 量化地将连续模型的时空动态与基于个人的数据联系起来.
- 开发一个生物现实的框架,时间变化的细胞数量.
- 改进连续模型洞察力转化为实验相关预测.
主要方法:
- 在连续模型中引入和安装缩放参数.
- 升级规则从离散模型到连续框架.
- 用斑马鱼皮肤模式形成来说明这种方法.
主要成果:
- 具有缩放参数的连续模型准确地描绘了当迁移或扩散单独作用时基于代理的解决方案.
- 当迁移和扩散同时发生时,我们发现了离散和连续动态之间的差异.
- 证明当过程结合起作用时,最佳参数不同.
结论:
- 缩放参数可以有效地将细胞群动态的连续和离散模型联系起来.
- 迁移和扩散之间的相互作用为组合建模方法带来了独特的挑战.
- 这项工作增强了数学模型在发育生物学中的预测能力.
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