Department of Mathematics, University of British Columbia, Vancouver, Canada.
PLoS Comput Biol. 2020 Dec 10;16(12):e1008411. doi: 10.1371/journal.pcbi.1008411. eCollection 2020 Dec.
Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on eukaryotic cell motility at 3 size scales: intracellular signaling that regulates cell shape and movement, single cell motility, and collective cell behavior from a few cells to tissues. We survey recent literature to summarize distinct computational methods (phase-field, polygonal, Cellular Potts, and spherical cells). We discuss models that bridge between levels of organization, and describe levels of detail, both biochemical and geometric, included in the models. We also highlight links between models and experiments. We find that models that span the 3 levels are still in the minority.
数学和计算模型可以帮助我们从多个组织层面理解细胞行为。在这里，我们回顾了文献中的模型，这些模型集中在 3 个大小尺度上的真核细胞运动：调节细胞形状和运动的细胞内信号转导、单细胞运动以及从几个细胞到组织的细胞集体行为。我们调查了最近的文献，总结了不同的计算方法（相场、多边形、细胞势和球体细胞）。我们讨论了在组织层面之间建立联系的模型，并描述了模型中包含的生化和几何细节的详细程度。我们还强调了模型与实验之间的联系。我们发现，跨越 3 个层次的模型仍然很少。
