Reconstructing the gradient source position from steady-state fluxes to small receptors.

Abstract:

:Recovering the position of a source from the fluxes of diffusing particles through small receptors allows a biological cell to determine its relative position, spatial localization and guide it to a final target. However, how a source can be recovered from point fluxes remains unclear. Using the Narrow Escape approach for an open domain, we compute the diffusion fluxes of Brownian particles generated by a steady-state gradient from a single source through small holes distributed on a surface in two dimensions. We find that the location of a source can be recovered when there are at least 3 receptors and the source is positioned no further than 10 cell radii away, but this condition is not necessary in a narrow strip. The present approach provides a computational basis for the first step of direction sensing of a gradient at a single cell level.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Dobramysl U,Holcman D

doi

10.1038/s41598-018-19355-5

subject

Has Abstract

pub_date

2018-01-17 00:00:00

pages

941

issue

1

issn

2045-2322

pii

10.1038/s41598-018-19355-5

journal_volume

8

pub_type

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