Benjamins last comments on manuscript and rebuttal

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\begin{document}
Thank you for your valuable feedback. Line numbers mentioned in our
responses refer to the new version of the manuscript, not the redlined
one.
We would like to thank both reviewers for their valuable
feedback. Note that line numbers mentioned in our following responses refer to
the new version of the manuscript, not the redlined one.
\issue{\large Reviewer \#1}
@@ -86,7 +86,7 @@ one.
potentially contributing to the threshold nonlinearity. We now
mention this in the methods when introducing the threshold
nonlinearity (after eq. 13) and cite the corresponding
manuscripts.}
articles.}
\issue{Second, and along the same lines, the discussion could be
improved by mentioning the effects and significance of these
@@ -96,7 +96,7 @@ one.
chirps.}
\response{We added a paragraph addressing JARs, chirps, and rises to
the discussion (lines 695 -- 703).}
the discussion (lines 697--705).}
\issue{Finally, the precise description of the methods could be
expanded for reaching a broader biology audience; in particular, the
@@ -157,8 +157,24 @@ one.
could benefit from greater clarity to avoid the need to explore the
results first in order to understand well.}
\response{We added a sentence that describes how we generate those
stimuli in the Fourier domain (lines 156--160).}
\response{We are sorry for the confusion. The cutoff frequencies
stated are pure stimulus parameters and not related to the filtering
performed by the respective neurons. ``White noise'' refers to a
time series that has equal power at all frequencies (like white
light) --- this choice of signal is agnostic with respect to the
preferred time scales of the system because all frequencies (or,
timescales) appear equally on the stimulus side. Bandpass-limited
white noise has equal power at all frequencies up to a cutoff
frequency that the experimenters choose in order to distribute the
total power over a reasonable frequency range in which they expect a
measurable response of the system under investigation. The choice
was different for ampullary receptors and P-units as stated in the
manuscript, but the stated values are not related with the actual
bandpass filtering that the neurons perform on the input
stimulus. The latter are quantified in the paper when we look at the
linear and nonlinear response functions of the cells. We completely
rewrote the description of the white-noise stimuli in the methods
sections (lines 155--160).}
\issue{Line 154. This procedure elicits a modulation of the envelope
of the reafferent signal. To achieve this, you adopted distinct
@@ -171,7 +187,7 @@ one.
\response{We increased the amplitude of the white noise until the
standard deviation (not the mean) of the resulting modulation of the
EOD reached 1 to 5\,\%. We rephrased the description of the
stimulation and hope that this is clearer now (lines 164--168).}
stimulation and hope that this is clearer now (lines 166--169).}
\issue{b) with regard to P receptors, you multiplied the head-to-tail
ongoing signal by a white noise signal and played the resultant
@@ -221,7 +237,7 @@ one.
\response{Exactly. We slightly expanded our description to make clear
that we talk about the signal transduction until it reaches the
spike initiation zone (lines 258 -- 259).}
spike initiation zone (lines 260--261).}
\issue{\large Reviewer \#2}
@@ -294,7 +310,8 @@ one.
\response{Thank you for addressing this inconsistency. This was for
``historical'' reasons. We now decided to use the 1\,ms kernel for
all figures and analysis. In doing so we also added panels showing
all figures and analysis. We changed the sentence in the methods
accordingly (line 183). In doing so we also added panels showing
firing rates in addition to the response spectra in figure 4. Using
the more narrow kernel better reveals the details of the time course
of the firing rate and this way improves the connection between the
@@ -317,13 +334,13 @@ one.
frequencies. However, since they are close to the higher one of the
two beat frequencies they do not show up in the AM as obviously as
for the settings used in the social envelope papers by Eric Fortune
and Andre Longtin and colleges (I guess this is what you had in
and Andre Longtin and colleges (we guess this is what you had in
mind).}
\issue{(8) Line 302. "not-small amplitude" is arbitrary and
vague. Please be clearer and more precise.}
\response{We rephrased to two sentences in lines 323 -- 325.}
\response{We rephrased to two sentences in lines 325--327.}
\issue{(9) Figures 5C and 6C. For the stimuli with the red RAM
waveforms, please make it clear which contrast is being represented
@@ -347,11 +364,17 @@ one.
stronger nonlinearities. There, the stimuli are narrow-band sine
waves. However, as pointed out in the context of figure 7, when
using a broad-band noise stimulus instead, this stimulus by itself
adds background noise to the system that linearizes the
response. That is why the susceptibilities estimated from noise
stimuli decrease for higher stimulus contrasts.\\
adds background noise to the system that linearizes the response. In
this context, it is crucial to realize that the (linear and
nonlinear) transfer of a nonlinear system like a neuron depends on
the background noise. A Gaussian noise stimulus acts here both (i)
as a signal that evokes a response (linear and nonlinear) and (ii)
as an additional background noise linearizing the (linear and
nonlinear) response. In the context of our study it implies the
susceptibilities estimated from noise stimuli decrease for higher
stimulus contrasts.\\
We added a whole paragraph at the beginning of this section to make
this clear (line 477 -- 482).}
this clear (lines 479--484).}
\issue{(12) Lines 655-675. This was a very nice end to the discussion,
but I would like to see more. I would like the broader significance
@@ -378,6 +401,6 @@ one.
frequency and how these may exploit the weakly nonlinear
interactions. However, we agree that the comparative aspect of the
conclusion could be expanded. We therefore added one more final
speculative sentence to the conclusion.}
speculative sentence to the conclusion (lines 715--716).}
\end{document}