From 19f25248ae3b5cdddec45e92db23c5aaf7c5b8ca Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Sat, 21 Jan 2017 18:45:56 +0100 Subject: [PATCH] [projects] add input resistance project --- .../input_resistance.tex | 72 ++++++++++++++++++ .../project_input_resistance/resistance.zip | Bin 0 -> 276734 bytes 2 files changed, 72 insertions(+) create mode 100644 projects/project_input_resistance/input_resistance.tex create mode 100644 projects/project_input_resistance/resistance.zip diff --git a/projects/project_input_resistance/input_resistance.tex b/projects/project_input_resistance/input_resistance.tex new file mode 100644 index 0000000..8cff3f4 --- /dev/null +++ b/projects/project_input_resistance/input_resistance.tex @@ -0,0 +1,72 @@ +\documentclass[addpoints,11pt]{exam} +\usepackage{url} +\usepackage{color} +\usepackage{hyperref} + +\pagestyle{headandfoot} +\runningheadrule +\firstpageheadrule +\firstpageheader{Scientific Computing}{Project Assignment}{WS 2016/17} +%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014} +\firstpagefooter{}{}{{\bf Supervisor:} Jan Grewe} +\runningfooter{}{}{} +\pointsinmargin +\bracketedpoints + +%\printanswers +%\shadedsolutions + + +\begin{document} +%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%% +\sffamily +% \begin{flushright} +% \gradetable[h][questions] +% \end{flushright} + +\begin{center} + \input{../disclaimer.tex} +\end{center} + +%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%% +\section*{Estimating cellular properties of different cell types.} +You will analyse data from intracellular \texit{in vitro} recordings +of pyramidal neurons from two different maps of the electrosensory +lateral line lobe (ELL) of the weakly electric fish +\textit{Apteronotus leptorhynchus}. The resistance and capacitance of +the membrane are typically estimated by injecting hyperpolarizing +current pulses into the cell. From the respective responses we can +calculate the membrane resistance by applying Ohm's law ($U = R \cdot +I$). To estimate the membrane capacitance we need to fit an +exponential function $y = a \cdot e^{(b \cdot x)}$to the response to +get the membrane time-constant $\tau$. With the knowledge of $R$ and +$\tau$ we can estimate the capacitance $C$ from the simple relation +$\tau = R \cdot C$. + +\begin{questions} + \question{} The accompanying dataset (input\_resistance.zip) + contains datasets from cells originating from two different parts of + the ELL, the medial segment (MS) and the centro-medial segment + (CMS). Each mat-file contains four variables. (i) \textit{V} the + average membrane potential of 20 repeated current injections, (ii) + \textit{V\_std} the across-trial standard deviation of the + responses, (iii) \textit{t} a vector representing the recording + time (in ms), and (iv) \textit{I} a vector containing the time-course of the + injected current. + + \begin{parts} + \part{} Create plots of the raw data. Plot the average response as + a function of time. This plot should also show the across-trial + variability. Also plot the time-course of the injected + current. \\[0.5ex] + \part{} Estimate the imput resistances of each cell.\\[0.5ex] + \part{} Fit an exponential to the initial few milliseconds of the + current-on response. Use a gradient-descent approach to do + this.\\[0.5ex] + \part{} Estimate the membrane capacitance of each cell. Compare + $R$, $I$ and $\tau$ between cells of the two segments.\\[0.5ex] + \part{} Optional: use a double exponential and see, if the fit gets better. + \end{parts} +\end{questions} + +\end{document} diff --git a/projects/project_input_resistance/resistance.zip b/projects/project_input_resistance/resistance.zip new file mode 100644 index 0000000000000000000000000000000000000000..7d37fc6fb7f0ee99ac6c9bd9263978d93fd2d090 GIT binary patch literal 276734 zcmW)H3tUon|Nkz}^YrZLzkHS}S1D{OvvkQ?wseX-t&6Ek<}KP%*s|8FO{dNa0*CEs z&D4~o5oOBhW~7!((|G}5%L}O~Spw`+eU& zpGUv`x3^z;<&}TFqAA`LwfCp*>cX;KdF9*8*Iw~_#ru`alUb=*KYpE-a*}a4p0PXd z`>%gYOnBp!*B{OQbo77U*?Fs9dG&7#ufOuj|NZFh@L(r*GxeN(ujzQv@BZWLpRc~< z`SaeNjKy!h_PW>qd#zy8@%J_Mi8XKSjQ!zObJcbp|!TfNTx1YfcXa5>vtvV%S zzPNho#p4k8rB*d_S-#S~Fz%(i>$W$yB#$&n9oEs+6;P{aUd7c?l4CnGs$-Yc$BvPq zJ>gsh8I(V8svy}-=N}ST650@IsuzAiBU>8-8h44WWTe{eZP-QXPgsIDRtlh*otr7S z`gmu-aLTUtIEeb`oI2MoNBjzwjb~O@I>s?}m?!$o!9yhzJ;1c<^i 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