细胞系统中浓度测量和梯度识别时间的限制
Limitations on concentration measurements and gradient discerning times in cellular systems
摘要：
这项工作报告了两个结果。首先，我们重新审视Berg和Purcell计算，该计算提供了细胞浓度测量误差的下限，通过考虑细胞开始测量其与趋化剂接触的时刻的实际情况，而不是像经典Berg和Purcell论文中那样在与趋化浓度平衡后测量。我们发现，浓度测量的误差仍然是相同的Berg和Purcell的评价。接下来，我们推导出测量时间的下限，低于该下限，细胞不可能通过空间传感机制辨别细胞外趋化梯度。该结合不依赖于化学吸引物的扩散速率和浓度，而是由配体从细胞受体的脱离速率设定。这一结果有助于解释实验观察。
英文摘要：
This work reports on two results. At first we revisit the Berg and Purcell calculation that provides a lower bound to the error in concentration measurement by cells, by considering the realistic case when the cell starts measuring the moment it comes in contact with the chemoattractants, instead of measuring after equilibrating with the chemotactic concentration as done in the classic Berg and Purcell paper. We find that the error in concentration measurement is still the same as evaluated by Berg and Purcell. We next derive a lower bound on measurement time below which it is not possible for the cell to discern extra-cellular chemotactic gradients through spatial sensing mechanisms. This bound is independent of diffusion rate and concentration of the chemoattracts and is instead set by detachment rate of ligands from the cell receptors. The result could help explain experimental observations.
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