Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK.
Cancer Evolution and Genome Instability Laboratory, The Francis Crick Institute, London, NW1 1AT, UK; European Cancer Stem Cell Research Institute, School of Biosciences, Cardiff University, Hadyn Ellis Building, Maindy Road, Cardiff, CF24 4HQ, UK.
J Theor Biol. 2022 May 21;541:111024. doi: 10.1016/j.jtbi.2022.111024. Epub 2022 Jan 30.
We consider a specific form of domain invasion that is an abstraction of pancreatic tissue eliminating precancerous mutant cells through juxtacrine signalling. The model is explored discretely, continuously, stochastically and deterministically, highlighting unforeseen nonlinear dependencies on the dimension of the solution domain. Specifically, stochastically simulated populations invade with a dimension dependent wave speed that can be over twice as fast as their deterministic analogues. Although the wave speed can be analytically derived in the cases of small domains, the probabilistic state space grows exponentially and, thus, we use numeric simulation and curve fitting to predict limiting dynamics.
我们考虑了一种特定形式的域入侵，它是通过旁分泌信号消除胰腺组织中癌前突变细胞的抽象概念。该模型被离散地、连续地、随机地和确定性地进行了探索，突出了对解域维度的意想不到的非线性依赖性。具体来说，随机模拟种群以与维度相关的波速入侵，其速度可以比确定性类似物快两倍以上。虽然在小域的情况下可以解析地推导出波速，但概率状态空间呈指数增长，因此，我们使用数值模拟和曲线拟合来预测极限动力学。
