How geometry and internal bias affect the accuracy of eukaryotic gradient sensing.
How geometry and internal bias affect the accuracy of eukaryotic gradient sensing.
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DOI:
10.1103/physreve.83.021917
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发表时间:
2011-02
期刊:
影响因子:
--
通讯作者:
Levine H
中科院分区:
文献类型:
--
作者:
Hu B;Chen W;Rappel WJ;Levine H
Many motile eukaryotic cells determine their direction by measuring external chemical gradients through the binding of ligands to membrane bound receptors. This process is limited by fluctuations arising from the binding process and from the diffusion of the ligand molecules. Here, we apply estimation-theoretic methods to determine the physical limits of gradient sensing for cells that are non-circular and for cells that have an internal bias. Specifically, we derive theoretical expressions for the accuracy of gradient sensing in elliptical cells. This accuracy for highly elliptical cells can significantly deviate from the gradient sensing limits derived for circular cells. Furthermore, we find that a cell cannot improve its sensing of the gradient steepness and direction simultaneously by elongating its cell body. Finally, we derive a lower bound on the accuracy of gradient sensing for cells that possess an internal bias and compare our analytical results with recent experimental findings.