Physical Limit to Concentration Sensing in a Changing Environment
Cells adapt to changing environments by sensing ligand concentrations using specific receptors. The accuracy of sensing is ultimately limited by the finite number of ligand molecules bound by receptors. Previously derived physical limits to sensing accuracy largely have assumed that the concentratio...
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| Vydáno v: | Physical review letters Ročník 123; číslo 19; s. 198101 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
College Park
American Physical Society
05.11.2019
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| Témata: | |
| ISSN: | 0031-9007, 1079-7114, 1079-7114 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | Cells adapt to changing environments by sensing ligand concentrations using specific receptors. The accuracy of sensing is ultimately limited by the finite number of ligand molecules bound by receptors. Previously derived physical limits to sensing accuracy largely have assumed that the concentration was constant and ignored its temporal fluctuations. We formulate the problem of concentration sensing in a strongly fluctuating environment as a nonlinear field-theoretic problem, for which we find an excellent approximate Gaussian solution. We derive a new physical bound on the relative error in concentration c which scales as δc/c∼(Dacτ)−1/4 with ligand diffusivity D, receptor cross section a, and characteristic fluctuation timescale τ, in stark contrast to the usual Berg and Purcell bound δc/c∼(DacT)−1/2 for a perfect receptor sensing concentration during time T. We show how the bound can be achieved by a biochemical network downstream of the receptor that adapts the kinetics of signaling as a function of the square root of the sensed concentration. |
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| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 |
| ISSN: | 0031-9007 1079-7114 1079-7114 |
| DOI: | 10.1103/PhysRevLett.123.198101 |