Logarithmic and Power Law Input-Output Relations in Sensory Systems with Fold-Change Detection
Figure 5
Rapidly changing input signal leads to responses similar to a step increase in signal; slowly changing input leads to weak response.
a) Input signal with a tunable timescale, with
. This signal goes form level 1 to level F, with a halfway time that goes as
. b) The relative maximal amplitude,
, as a function of the relative change in the input signal
, is plotted for various values of the input timescale
. When the signal changes much faster than the timescale of the circuit,
, the response is similar to the analytical solution for an infinitely fast step in input (Full red curve). When the timescale is slow,
, the response of the circuit is weak.