Modelling of Dictyostelium discoideum movement in a linear gradient of chemoattractant,Soft Matter

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Modelling of Dictyostelium discoideum movement in a linear gradient of chemoattractant
Soft Matter ( IF 2.9 ) Pub Date : 2017-10-02 00:00:00 , DOI: 10.1039/c7sm01568b
Zahra Eidi _{1,

2,

3,

4} , Farshid Mohammad-Rafiee _{1,

2,

3,

4} , Mohammad Khorrami _{1,

4,

5,

6} , Azam Gholami _{7,

8,

9}

Affiliation

Chemotaxis is a ubiquitous biological phenomenon in which cells detect a spatial gradient of chemoattractant, and then move towards the source. Here we present a position-dependent advection–diffusion model that quantitatively describes the statistical features of the chemotactic motion of the social amoeba Dictyostelium discoideum in a linear gradient of cAMP (cyclic adenosine monophosphate). We fit the model to experimental trajectories that are recorded in a microfluidic setup with stationary cAMP gradients and extract the diffusion and drift coefficients in the gradient direction. Our analysis shows that for the majority of gradients, both coefficients decrease over time and become negative as the cells crawl up the gradient. The extracted model parameters also show that besides the expected drift in the direction of the chemoattractant gradient, we observe a nonlinear dependency of the corresponding variance on time, which can be explained by the model. Furthermore, the results of the model show that the non-linear term in the mean squared displacement of the cell trajectories can dominate the linear term on large time scales.

中文翻译：

趋化因子线性梯度中的盘基网柄菌运动的建模

趋化性是普遍存在的生物学现象，其中细胞检测趋化性的空间梯度，然后向源移动。在这里，我们提出了一种位置依赖的对流扩散模型，该模型定量描述了社交变形虫盘基网柄菌的趋化运动的统计特征。呈线性梯度的cAMP（环状单磷酸腺苷）。我们将模型拟合到在固定cAMP梯度的微流体设置中记录的实验轨迹，并提取在梯度方向上的扩散系数和漂移系数。我们的分析表明，对于大多数梯度，这两个系数都会随着时间的推移而降低，并随着细胞向梯度上的爬升而变为负值。提取的模型参数还显示，除了在化学引诱剂梯度方向上的预期漂移之外，我们还观察到了相应的时间方差的非线性依赖性，这可以用模型来解释。此外，模型的结果表明，细胞轨迹的均方位移中的非线性项可以在较大的时间尺度上主导线性项。

更新日期：2017-11-15

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