Figure 10
Maximal sensitivity of the noisy hair cell. Throughout the b-gK1-parameter plane, we determined the sensitivity of the stochastic model as a function of frequency. This was done using Equation 7 and a Gaussian external force that was band-limited to 200 Hz and had a standard deviation of 1 pN. For each choice of the parameters, we determined at which frequency the sensitivity was maximal. (a) Frequency map of the maximal sensitivity. As a color plot, we show the frequencies at which the sensitivity of the cell is maximal within the frequency band of the stimulus. (b) Maximum sensitivity map. Color coded, we plot the maximal sensitivity as a function of the bifurcation parameters b and g K 1. In (a, b), bifurcation lines of the AH bifurcation of the deterministic system are shown as white lines. (c) Scatter plot of the maximal sensitivity versus the LE of the model, both taken at the same values of the control parameters b and gK1. Note that the LE was determined in the absence of any external stimulus force but in the presence of noise. The vertical red line indicates where the LE is zero.