Institute for Theoretical Computer Science, University of Lübeck, 23562 Lübeck, Germany.
Proc Natl Acad Sci U S A. 2011 Jul 26;108(30):12401-6. doi: 10.1073/pnas.1102288108. Epub 2011 Jul 6.
Two-photon microscopy has substantially advanced our understanding of cellular dynamics in the immune system. Cell migration can now be imaged in real time in the living animal. Strikingly, the migration of naive lymphocytes in secondary lymphoid tissue appears predominantly random. It is unclear, however, whether directed migration may escape detection in this random background. Using a combination of mathematical modeling and experimental data, we investigate the extent to which modern two-photon imaging can rule out biologically relevant directed migration. For naive T cells migrating in uninfected lymph nodes (LNs) at average 3D speeds of around 18 μm/min, we rule out uniform directed migration of more than 1.7 μm/min at the 95% confidence level, confirming that T cell migration is indeed mostly random on a timescale of minutes. To investigate whether this finding still holds for longer timescales, we use a 3D simulation of the naive T cell LN transit. A pure random walk predicts a transit time of around 16 h, which is in good agreement with experimental results. A directional bias of only 0.5 μm/min-less than 3% of the cell speed-would already accelerate the transit twofold. These results jointly strengthen the random walk analogy for naive T cell migration in LNs, but they also emphasize that very small deviations from random migration can still be important. Our methods are applicable to cells of any type and can be used to reanalyze existing datasets.
双光子显微镜技术极大地促进了我们对免疫系统中细胞动力学的理解。现在可以实时在活体动物中对细胞迁移进行成像。引人注目的是,在次级淋巴组织中幼稚淋巴细胞的迁移似乎主要是随机的。然而,在这种随机背景下,定向迁移是否可能逃脱检测还不清楚。我们结合数学建模和实验数据,研究了现代双光子成像在多大程度上可以排除具有生物学意义的定向迁移。对于在平均 3D 速度约为 18 μm/min 的未感染淋巴结(LN)中迁移的幼稚 T 细胞,我们可以排除 95%置信水平下超过 1.7 μm/min 的均匀定向迁移,这证实了 T 细胞迁移在分钟级的时间尺度上确实主要是随机的。为了研究这一发现是否仍然适用于更长的时间尺度,我们使用幼稚 T 细胞 LN 过境的 3D 模拟。纯粹的随机游走预测过境时间约为 16 小时,这与实验结果非常吻合。仅 0.5 μm/min 的定向偏差——不到细胞速度的 3%——就会将过境时间加速两倍。这些结果共同加强了幼稚 T 细胞在 LN 中的随机游走类比,但它们也强调了非常小的偏离随机迁移仍然可能很重要。我们的方法适用于任何类型的细胞,可以用于重新分析现有的数据集。