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. 2016 Jan;13(114):20150844. doi: 10.1098/rsif.2015.0844

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© 2016 The Author(s)

Published by the Royal Society. All rights reserved.

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Figure 1. — Measurement of ramp rate c₁ by an idealized cell. (a) During a time interval of length T, a cell travels from a region of low concentration to a region of higher concentration, absorbing chemoattractant molecules at times {t_i} (spikes in absorption time series). (b) In a static concentration field C(x), c₁ is equal to concentration slope g (slope of solid orange line) multiplied by swimming speed v. (c) In a dynamic concentration field C(x, t), g is confounded with temporal changes in concentration () and the cell may perceive a decreasing concentration (red dashed line) although the true concentration slope is positive. (Online version in colour.)

Inline graphic — Measurement of ramp rate c₁ by an idealized cell. (a) During a time interval of length T, a cell travels from a region of low concentration to a region of higher concentration, absorbing chemoattractant molecules at times {t_i} (spikes in absorption time series). (b) In a static concentration field C(x), c₁ is equal to concentration slope g (slope of solid orange line) multiplied by swimming speed v. (c) In a dynamic concentration field C(x, t), g is confounded with temporal changes in concentration () and the cell may perceive a decreasing concentration (red dashed line) although the true concentration slope is positive. (Online version in colour.)