diff --git a/cite.bib b/cite.bib index cf3ad27..f5617b5 100644 --- a/cite.bib +++ b/cite.bib @@ -178,7 +178,8 @@ volume={11}, pages={20130857}, year={2014}, -} +}# Cited + @article{michelsen1971physiology, title={{The physiology of the locust ear: I. Frequency sensitivity of single cells in the isolated ear}}, author={Michelsen, Axel}, @@ -194,7 +195,8 @@ volume={71}, pages={63--101}, year={1971}, -} +}# Cited + @article{neuhofer2008evolutionarily, title={Evolutionarily conserved coding properties of auditory neurons across grasshopper species}, author={Neuhofer, Daniela and Wohlgemuth, Sandra and Stumpner, Andreas and Ronacher, Bernhard}, @@ -368,4 +370,4 @@ volume={5}, pages={1435--1443}, year={2008}, -} \ No newline at end of file +}# Cited diff --git a/figures/fig_auditory_pathway.pdf b/figures/fig_auditory_pathway.pdf new file mode 100644 index 0000000..ce5c9de Binary files /dev/null and b/figures/fig_auditory_pathway.pdf differ diff --git a/figures/fig_auditory_pathway.pdf_tex b/figures/fig_auditory_pathway.pdf_tex new file mode 100644 index 0000000..e6ad53d --- /dev/null +++ b/figures/fig_auditory_pathway.pdf_tex @@ -0,0 +1,58 @@ +%% Creator: Inkscape 1.2.2 (b0a8486541, 2022-12-01), www.inkscape.org +%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 +%% Accompanies image file 'fig_auditory_pathway.pdf' (pdf, eps, ps) +%% +%% To include the image in your LaTeX document, write +%% \input{.pdf_tex} +%% instead of +%% \includegraphics{.pdf} +%% To scale the image, write +%% \def\svgwidth{} +%% \input{.pdf_tex} +%% instead of +%% \includegraphics[width=]{.pdf} +%% +%% Images with a different path to the parent latex file can +%% be accessed with the `import' package (which may need to be +%% installed) using +%% \usepackage{import} +%% in the preamble, and then including the image with +%% \import{}{.pdf_tex} +%% Alternatively, one can specify +%% \graphicspath{{/}} +%% +%% For more information, please see info/svg-inkscape on CTAN: +%% http://tug.ctan.org/tex-archive/info/svg-inkscape +%% +\begingroup% + \makeatletter% + \providecommand\color[2][]{% + \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}% + \renewcommand\color[2][]{}% + }% + 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family={Malkin}, + familyi={M\bibinitperiod}, + given={Robert}, + giveni={R\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=44d6d3bc808d706efa08427ab56376f8}{% + family={McDonagh}, + familyi={M\bibinitperiod}, + given={Thomas\bibnamedelima R}, + giveni={T\bibinitperiod\bibinitdelim R\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=ff2fe38db6e7c99c604d4228a8b9a61f}{% + family={Mhatre}, + familyi={M\bibinitperiod}, + given={Natasha}, + giveni={N\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=1557e6d49a7fd438c0b374fa1ff6f6e8}{% + family={Scott}, + familyi={S\bibinitperiod}, + given={Thomas\bibnamedelima S}, + giveni={T\bibinitperiod\bibinitdelim S\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=58c1cfb5606b005a98142f5a9b40a005}{% + family={Robert}, + familyi={R\bibinitperiod}, + given={Daniel}, + giveni={D\bibinitperiod}, + givenun=0}}% + } + \strng{namehash}{87390706a0ad1cad0e88c4db6d613103} + \strng{fullhash}{d7bc31a3f24102766ca6e162eb546896} + \strng{bibnamehash}{87390706a0ad1cad0e88c4db6d613103} + \strng{authorbibnamehash}{87390706a0ad1cad0e88c4db6d613103} + \strng{authornamehash}{87390706a0ad1cad0e88c4db6d613103} + \strng{authorfullhash}{d7bc31a3f24102766ca6e162eb546896} + \field{sortinit}{M} + \field{sortinithash}{4625c616857f13d17ce56f7d4f97d451} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{J R Soc Interface} + \field{title}{Energy localization and frequency analysis in the locust ear} + \field{volume}{11} + \field{year}{2014} + \field{pages}{20130857} + \range{pages}{1} + \endentry + \entry{michelsen1971frequency}{article}{} + \name{author}{1}{}{% + {{un=0,uniquepart=base,hash=52cc9072f3abd1fbff88d8bd16788da4}{% + family={Michelsen}, + familyi={M\bibinitperiod}, + given={Axel}, + giveni={A\bibinitperiod}, + givenun=0}}% + } + \strng{namehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{fullhash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{bibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{authorbibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{authornamehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{authorfullhash}{52cc9072f3abd1fbff88d8bd16788da4} + \field{sortinit}{M} + \field{sortinithash}{4625c616857f13d17ce56f7d4f97d451} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{Z vergl Physiologie} + \field{title}{{The physiology of the locust ear: II. Frequency discrimination based upon resonances in the tympanum}} + \field{volume}{71} + \field{year}{1971} + \field{pages}{63\bibrangedash 101} + \range{pages}{39} + \endentry \entry{ronacher2015computational}{article}{} \name{author}{3}{}{% {{un=0,uniquepart=base,hash=4ce9349f95ced7a4831a5efa0fe5b00f}{% @@ -160,11 +240,11 @@ giveni={J\bibinitperiod}, givenun=0}}% } - \strng{namehash}{a27866f5e08528bcf2314aa0ec6f0437} + \strng{namehash}{4db88d528409e3588c6107a876403384} \strng{fullhash}{a27866f5e08528bcf2314aa0ec6f0437} \strng{bibnamehash}{a27866f5e08528bcf2314aa0ec6f0437} \strng{authorbibnamehash}{a27866f5e08528bcf2314aa0ec6f0437} - \strng{authornamehash}{a27866f5e08528bcf2314aa0ec6f0437} + \strng{authornamehash}{4db88d528409e3588c6107a876403384} \strng{authorfullhash}{a27866f5e08528bcf2314aa0ec6f0437} \field{sortinit}{R} \field{sortinithash}{5e1c39a9d46ffb6bebd8f801023a9486} @@ -179,6 +259,46 @@ \field{pages}{61\bibrangedash 71} \range{pages}{11} \endentry + \entry{windmill2008time}{article}{} + \name{author}{3}{}{% + {{un=0,uniquepart=base,hash=73f39430fed095cb0a958656d3b5edc5}{% + family={Windmill}, + familyi={W\bibinitperiod}, + given={JFC}, + giveni={J\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=6961a9eb51371dbc262e86c63cf7afaf}{% + family={Bockenhauer}, + familyi={B\bibinitperiod}, + given={S}, + giveni={S\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=ab9466b25dd676ce5560192f8c4e2f4c}{% + family={Robert}, + familyi={R\bibinitperiod}, + given={D}, + giveni={D\bibinitperiod}, + givenun=0}}% + } + \strng{namehash}{0f334b7be5181e7160f03c1b68950c24} + \strng{fullhash}{ca16ceff115d806c7f5e88dd34a30486} + \strng{bibnamehash}{ca16ceff115d806c7f5e88dd34a30486} + \strng{authorbibnamehash}{ca16ceff115d806c7f5e88dd34a30486} + \strng{authornamehash}{0f334b7be5181e7160f03c1b68950c24} + \strng{authorfullhash}{ca16ceff115d806c7f5e88dd34a30486} + \field{sortinit}{W} + \field{sortinithash}{4315d78024d0cea9b57a0c6f0e35ed0d} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{J R Soc Interface} + \field{title}{Time-resolved tympanal mechanics of the locust} + \field{volume}{5} + \field{year}{2008} + \field{pages}{1435\bibrangedash 1443} + \range{pages}{9} + \endentry \enddatalist \endrefsection \endinput diff --git a/main.bbl-SAVE-ERROR b/main.bbl-SAVE-ERROR index bc24ec6..5d51d36 100644 --- a/main.bbl-SAVE-ERROR +++ b/main.bbl-SAVE-ERROR @@ -139,6 +139,34 @@ \field{pages}{12136\bibrangedash 12145} \range{pages}{10} \endentry + \entry{michelsen1971frequency}{article}{} + \name{author}{1}{}{% + {{un=0,uniquepart=base,hash=52cc9072f3abd1fbff88d8bd16788da4}{% + family={Michelsen}, + familyi={M\bibinitperiod}, + given={Axel}, + giveni={A\bibinitperiod}, + givenun=0}}% + } + \strng{namehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{fullhash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{bibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{authorbibnamehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{authornamehash}{52cc9072f3abd1fbff88d8bd16788da4} + \strng{authorfullhash}{52cc9072f3abd1fbff88d8bd16788da4} + \field{sortinit}{M} + \field{sortinithash}{4625c616857f13d17ce56f7d4f97d451} + \field{extradatescope}{labelyear} + \field{labeldatesource}{} + \field{labelnamesource}{author} + \field{labeltitlesource}{title} + \field{journaltitle}{Z vergl Physiologie} + \field{title}{{The physiology of the locust ear: II. Frequency discrimination based upon resonances in the tympanum}} + \field{volume}{71} + \field{year}{1971} + \field{pages}{63\bibrangedash 101} + \range{pages}{39} + \endentry \entry{ronacher2015computational}{article}{} \name{author}{3}{}{% {{un=0,uniquepart=base,hash=4ce9349f95ced7a4831a5efa0fe5b00f}{% @@ -179,6 +207,46 @@ \field{pages}{61\bibrangedash 71} \range{pages}{11} \endentry + \entry{windmill2008time}{article}{} + \name{author}{3}{}{% + {{un=0,uniquepart=base,hash=73f39430fed095cb0a958656d3b5edc5}{% + family={Windmill}, + familyi={W\bibinitperiod}, + given={JFC}, + giveni={J\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=6961a9eb51371dbc262e86c63cf7afaf}{% + family={Bockenhauer}, + familyi={B\bibinitperiod}, + given={S}, + giveni={S\bibinitperiod}, + givenun=0}}% + {{un=0,uniquepart=base,hash=ab9466b25dd676ce5560192f8c4e2f4c}{% + family={Robert}, + familyi={R\bibinitperiod}, + given={D}, + giveni={D\bibinitperiod}, + givenun=0}}% + } + 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PDF statistics: - 88 PDF objects out of 1000 (max. 8388607) - 54 compressed objects within 1 object stream + 1080 PDF objects out of 1200 (max. 8388607) + 685 compressed objects within 7 object streams 0 named destinations out of 1000 (max. 500000) - 1 words of extra memory for PDF output out of 10000 (max. 10000000) + 18 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/main.pdf b/main.pdf index d8a27cf..7c71d8f 100644 Binary files a/main.pdf and b/main.pdf differ diff --git a/main.synctex.gz b/main.synctex.gz index 5cf8e83..1a301a0 100644 Binary files a/main.synctex.gz and b/main.synctex.gz differ diff --git a/main.tex b/main.tex index ba006cf..53f5b74 100644 --- a/main.tex +++ b/main.tex @@ -1,12 +1,22 @@ \documentclass[a4paper, 12pt]{article} +\usepackage[left=2.5cm,right=2.5cm,top=2cm,bottom=2cm,includeheadfoot]{geometry} +\usepackage{graphicx} +\usepackage{svg} +\usepackage{import} +\usepackage{float} +\usepackage{placeins} \usepackage{parskip} \usepackage{amsmath} \usepackage{amssymb} +\usepackage[separate-uncertainty=true, locale=DE]{siunitx} +\sisetup{output-exponent-marker=\ensuremath{\mathrm{e}}} \usepackage[ -backend=biber, -style=authoryear, -]{biblatex} + backend=biber, + style=authoryear, + mincitenames=1, + maxcitenames=2 + ]{biblatex} \addbibresource{cite.bib} \title{Emergent intensity invariance in a physiologically inspired model of the grasshopper auditory system} @@ -103,9 +113,35 @@ $\rightarrow$ More general, simpler, unfitted formalized Gabor filter bank \section{Developing a functional model of\\the grasshopper auditory pathway} +\begin{figure}[!ht] + \centering + \def\svgwidth{\textwidth} + \import{figures/}{fig_auditory_pathway.pdf_tex} + \caption[Grasshopper auditory system]{\textbf{The auditory system of + grasshoppers.}} + \label{fig:pathway} +\end{figure} +\FloatBarrier \subsection{Population-driven signal pre-processing} +Grasshoppers receive airborne sound waves by a tympanal organ at each side of +the thorax. The tympanal membrane~(Fig.\,\ref{fig:pathway}) vibrates in +response to incoming sound waves in a frequency-dependent manner: Vibrations of +specific frequencies are focused on different membrane areas, while other +frequencies are attenuated~(\mbox{\cite{michelsen1971frequency}}; +\mbox{\cite{windmill2008time}}; \mbox{\cite{malkin2014energy}}). This +mechanical resonance filter can be modelled by an initial bandpass filter +\begin{equation} + \filt(t)\,=\,\raw(t)\,*\,\bp, \qquad \fc\,=\,5\,\text{kHz},\,30\,\text{kHz} + \label{eq:bandpass} +\end{equation} +applied to the acoustic input signal $\raw(t)$. + + + + + "Pre-split portion" of the auditory pathway:\\ Tympanal membrane $\rightarrow$ Receptor neurons $\rightarrow$ Local interneurons @@ -118,12 +154,6 @@ Initial: Continuous acoustic input signal $x(t)$ Filtering of behaviorally relevant frequencies by tympanal membrane\\ $\rightarrow$ Bandpass filter 5-30 kHz -% -\begin{equation} - \filt(t)\,=\,\raw(t)\,*\,\bp, \qquad \fc\,=\,5\,\text{kHz},\,30\,\text{kHz} - \label{eq:bandpass} -\end{equation} -% Extraction of signal envelope (AM encoding) by receptor population\\ $\rightarrow$ Full-wave rectification, then lowpass filter 500 Hz % @@ -303,7 +333,7 @@ approximated as temporal averaging over a suitable time interval $\tlp$ ($\tlp > \label{eq:feat_avg} \end{equation} % -$\rightarrow$ Temporal averaging over $\bi(t)\in[0,1]$ (Eq.\ref{eq:binary}) gives +$\rightarrow$ Temporal averaging over $\bi(t)\in[0,1]$ (Eq.\,\ref{eq:binary}) gives ratio of time $T_1$ where $c_i(t)>\thr$ to total averaging interval $\tlp$\\ $\rightarrow$ Feature $\feat(t)$ approximately represents supra-threshold fraction of $\tlp$