You are here: Home / Exposures / McIntyre, Richardson, Grill, 2001 / Modeling the excitability of mammalian nerve fibers: influence of afterpotentials on the recovery cycle

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Component: environment

Component: membrane

i_Stim = \{\begin{matrix} stim_amplitude if t \geq 10 \land t ≦ 10 + stim_duration \\ 0 otherwise \end{matrix} \frac{d}{d t} (V_m) = \frac{- ((- i_Stim) + i_Naf + i_Nap + i_Ks + i_Kf + i_Lk)}{C_n}

Component: fast_sodium_channel

i_Naf = g_Naf m^{3} h (V_m - E_Na)

Component: fast_sodium_channel_m_gate

\frac{d}{d t} (m) = alpha_m (1 - m) - (beta_m m) alpha_m = \frac{6.57 (V_m + 20.4)}{1 - (ⅇ^{\frac{- (V_m + 20.4)}{10.3}})} beta_m = \frac{(- 0.304) (V_m + 25.7)}{1 - (ⅇ^{\frac{V_m + 25.7}{9.16}})}

Component: fast_sodium_channel_h_gate

\frac{d}{d t} (h) = alpha_h (1 - h) - (beta_h h) alpha_h = \frac{(- 0.34) (V_m + 114)}{1 - (ⅇ^{\frac{V_m + 114}{11}})} beta_h = \frac{12.6}{1 + ⅇ^{\frac{- (V_m + 31.8)}{13.4}}}

Component: persistent_sodium_channel

i_Nap = g_Nap p^{3} (V_m - E_Na)

Component: persistent_sodium_channel_p_gate

\frac{d}{d t} (p) = alpha_p (1 - p) - (beta_p p) alpha_p = \frac{0.0353 (V_m + 27)}{1 - (ⅇ^{\frac{- (V_m + 27)}{10.2}})} beta_p = \frac{(- 0.000883) (V_m + 34)}{1 - (ⅇ^{\frac{V_m + 34}{10}})}

Component: slow_potassium_channel

i_Ks = g_Ks s (V_m - E_K)

Component: slow_potassium_channel_s_gate

\frac{d}{d t} (s) = alpha_s (1 - s) - (beta_s s) alpha_s = \frac{0.3}{1 + ⅇ^{\frac{- (V_m + 53)}{5}}} beta_s = \frac{0.03}{1 + ⅇ^{\frac{- (V_m + 90)}{1}}}

Component: juxtaparanodal_fast_potassium_channel

i_Kf = g_Kf n^{4} (V_m - E_K)

Component: juxtaparanodal_fast_potassium_channel_n_gate

\frac{d}{d t} (n) = alpha_n (1 - n) - (beta_n n) alpha_n = \frac{0.0462 (V_m + 83.2)}{1 - (ⅇ^{\frac{- (V_m + 83.2)}{1.1}})} beta_n = \frac{(- 0.0824) (V_m + 66)}{1 - (ⅇ^{\frac{V_m + 66}{10.5}})}

Component: leakage_channel

i_Lk = g_Lk (V_m - E_Lk)

Source: Derived from workspace McIntyre, Richardson, Grill, 2001 at changeset 125f548ce204.

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Modeling the excitability of mammalian nerve fibers: influence of afterpotentials on the recovery cycle