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Table 3 Dynamic equations for ionic channels

From: Effects of different three-dimensional electrodes on epiretinal electrical stimulation by modeling analysis

Ion

Channel

State variable

α

β

Na

Fast sodium

m

\( \frac{-0.6*\left(\mathrm{V}+30\right)}{e^{-0.1*\left(\mathrm{V}+30\right)}-1} \)

\( \frac{20}{e^{\frac{\mathrm{V}+55}{18}}} \)

  

h

\( \frac{0.4}{e^{\frac{\mathrm{V}+50}{20}}} \)

\( \frac{6}{1+{e}^{-0.1*\left(\mathrm{V}+20\right)}} \)

K

Delayed

n

\( \frac{-0.02*\left(\mathrm{V}+40\right)}{e^{-0.1*\left(\mathrm{V}+40\right)}-1} \)

\( \frac{0.4}{e^{\frac{\mathrm{V}+50}{80}}} \)

 

A-type

a

\( \frac{-0.006*\left(\mathrm{V}+90\right)}{e^{-0.1*\left(\mathrm{V}+40\right)}-1} \)

\( \frac{0.1}{e^{\frac{\mathrm{V}+30}{10}}} \)

  

h A

\( \frac{0.04}{e^{\frac{\mathrm{V}+70}{20}}} \)

\( \frac{0.6}{e^{-0.1*\left(\mathrm{V}+90\right)}+1} \)

 

Calcium

 

\( {I}_{K,Ca}={\widehat{G}}_{K,Ca}\left(\frac{{\left[Ca\right]}_i/0.001}{1+{\left[Ca\right]}_i/0.001}\right)\left(\mathrm{V}-{e}_k\right) \)

Ca

Ca

c

\( \frac{-0.3*\left(\mathrm{V}+13\right)}{e^{-0.1*\left(\mathrm{V}+13\right)}-1} \)

\( \frac{10}{e^{\frac{\mathrm{V}+38}{18}}} \)