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Done with first methods paragraph.

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@@ -282,6 +282,7 @@ within the auditory pathway.
\section{Developing a functional model of the\\grasshopper song recognition pathway}
% Too long (no splitting, only pruning).
The essence of constructing a functional model of a given system is to gain a
sufficient understanding of the system's essential structural components and
their presumed functional roles; and to then build a formal framework of
@@ -296,35 +297,26 @@ region towards the supraesophageal ganglion~(\bcite{rehbein1974structure};
\bcite{rehbein1976auditory}; \bcite{eichendorf1980projections}). The input to
the network originates at the membrane of the tympanal organ, which acts as the
primary sound receiver and is coupled to the dendritic endings of the receptor
neurons~(\bcite{gray1960fine}). The outputs of the network converge somewhere
neurons~(\bcite{gray1960fine}). The outputs from the network converge somewhere
in the supraesophageal ganglion, which is presumed to harbor the neuronal
substrate of song recognition~(\bcite{romer1985responses};
\bcite{ronacher1986routes}; \bcite{bauer1987separate};
\bcite{bhavsar2017brain}).
Functionally, the ascending neuron population is characterized by a marked
increase in response heterogenity compared to the preceding receptor neurons
and local interneurons, which exhibit relatively homogeneous response
properties across their respective populations~(\bcite{clemens2011efficient}).
Based on these considerations, the organisation of the model
pathway~(Fig.\,\ref{fig:pathway}d) comprises two distinct overall stages:
1) "Pre-split portion" of the auditory pathway:\\
Tympanal membrane $\rightarrow$ Receptor neurons $\rightarrow$ Local interneurons
Similar response/filter properties within receptor/interneuron populations (\cite{clemens2011efficient})\\
$\rightarrow$ One population-wide response trace per stage (no "single-cell resolution")
2) "Post-split portion" of the auditory pathway:\\
Ascending neurons (AN) $\rightarrow$ Central brain neurons
Diverse response/filter properties within AN population (\cite{clemens2011efficient})\\
- Pathway splitting into several parallel branches\\
- Expansion into a decorrelated higher-dimensional sound representation\\
$\rightarrow$ Individual neuron-specific response traces from this stage onwards
substrate for conspecific song recognition and response
initiation~(\bcite{ronacher1986routes}; \bcite{bauer1987separate};
\bcite{bhavsar2017brain}). Functionally, the ascending neurons are the most
diverse of the three populations along the pathway. Individual ascending
neurons possess highly specific response properties that contrast with the
homogeneous responses of the preceding receptor neurons and local
interneurons~(\bcite{clemens2011efficient}), indicating a transition from a
uniform population-wide processing stream into several parallel branches. Based
on these anatomical and physiological considerations, the overall structure of
the model pathway is divided into two distinct
stages~(Fig.\,\ref{fig:pathway}d). The preprocessing stage incorporates the
known physiological processing steps at the levels of the tympanal membrane,
the receptor neurons, and the local interneurons; and operates on
one-dimensional signal representations. The feature extraction stage
corresponds to the processing within the ascending neurons and further
downstream towards the supraesophageal ganglion; and operates on
higher-dimensional signal representations. The details of each processing step
within the two stages are outlined in the following sections.
\begin{figure}[!ht]
\centering