model_mutations_2022/gating_table.tex

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\begin{table}[ht!]
\centering
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\begin{tabular}{c c c c c c }
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& Gating & \(V_{1/2}\) [mV]& \(k\) & \(j\) & \(a\) \\
\Xhline{1\arrayrulewidth}
%Pospischil
& \(\textrm{I}_{\textrm{Na}}\) activation &\(-34.33054521\) & \(-8.21450277\) & \(1.42295686\) & --- \\
& \(\textrm{I}_{\textrm{Na}}\) inactivation &\(-34.51951036\) & \(4.04059373\) & \(1\) & \(0.05\) \\
Models & \(\textrm{I}_{\textrm{Kd}}\) activation &\(-63.76096946\) & \(-13.83488194\) & \(7.35347425\) & --- \\
B, C, D, E, G, H & \(\textrm{I}_{\textrm{L}}\) activation &\(-39.03684525\) & \(-5.57756176\) & \(2.25190197\) & --- \\
& \(\textrm{I}_{\textrm{L}}\) inactivation &\(-57.37\) & \(20.98\) & \(1\) & --- \\
& \(\textrm{I}_{\textrm{M}}\) activation &\(-45\) & \(-9.9998807337\) & \(1\) & --- \\ %-45 with 10 mV shift to contributes to resting potential
% & & & & &\\
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\(\textrm{I}_{\textrm{K}_{\textrm{V}}\textrm{1.1}}\ \) & \(\textrm{I}_{\textrm{K}_{\textrm{V}}\textrm{1.1}}\ \) activation &\(-30.01851852\) & \(-7.73333333\) & \(1\) & --- \\
& \(\textrm{I}_{\textrm{K}_{\textrm{V}}\textrm{1.1}}\ \) Inactivation &\(-46.85851852\) & \(7.67266667\) & \(1\) & \(0.245\) \\
\Xhline{1\arrayrulewidth}
\end{tabular}}
\caption[Gating Properties]{ For comparability to typical electrophysiological data fitting reported and for ease of further gating curve manipulations, a sigmoid function (Eqn.\ref{eqn:Boltz}) %Boltzmann \(x_\infty = {\left(\frac{1-a}{1+{exp[{\frac{V-V_{1/2}}{k}}]}} +a\right)^j}\)
with slope \(k\), voltage for half-maximal activation or inactivation (\(V_{1/2}\)), exponent \(j\), and persistent current \(0 \leq a \leq 1\) were fitted for the models originating from \citet{pospischil_minimal_2008} (models B, C, D, E, G, H) where \(\alpha_x\) and \(\beta_x\) are used. Gating parameters for \(\textrm{I}_{\textrm{K}_{\textrm{V}}\textrm{1.1}}\ \) are taken from \citet{ranjan_kinetic_2019} and fit to mean wild type parameters in \citet{lauxmann_therapeutic_2021}. Model gating parameters not listed are taken directly from source publication.}
\label{tab:gating}
\end{table}