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Predicting concentration changes via discrete receptor sampling

delete2024-07-10
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Age J. Tjalma
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Pieter Rein ten Wolde *
DOI:10.1103/PhysRevResearch.6.033049delete
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摘要

摘要

En 中文
To successfully navigate chemical gradients, microorganisms need to predict how the ligand concentration changes in space. Due to their limited size, they do not take a spatial derivative over their body length but rather a temporal derivative, comparing the current signal with that in the recent past over the so-called adaptation time. This strategy is pervasive in biology, but it remains unclear what determines the accuracy of such measurements. Using a generalized version of the previously established sampling framework, we investigate how resource limitations and the statistics of the input signal set the optimal design of a well-characterized network that measures temporal concentration changes: the Escherichia coli chemotaxis network. Our results show how an optimal adaptation time arises from the trade-off between the sampling error, caused by the stochastic nature of the network, and the dynamical error, caused by uninformative fluctuations in the input. A larger resource availability reduces the sampling error, which allows for a smaller adaptation time, thereby simultaneously decreasing the dynamical error. Similarly, we find that the optimal adaptation time scales inversely with the gradient steepness, because steeper gradients lift the signal above the noise and reduce the sampling error. These findings shed light on the principles that govern the optimal design of the E. coli chemotaxis network specifically, and any system measuring temporal changes more broadly.
Keyword:
ESCHERICHIA-COLI
BACTERIAL CHEMOTAXIS
PERFECT ADAPTATION
SENSITIVITY
SYSTEMS
MODEL

期刊

Physical Review Research 封面图
Physical Review Research
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4.2
论文数:
7.6K
被引数:
2.7W

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AMOLF
学者数:
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论文数: 984
被引数: 12
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