# Model Mathematics

### Component: membrane

$dd time V =I_stim- i_Na + i_K + i_Leak Cm$$IStimC=I_stim$

### Component: sodium_channel

$g_Na = m 3.0 ⁢ h ⁢ g_Na_max$$i_Na = g_Na_max ⁢ m 3.0 ⁢ h +0.14e-2⁢ V - E_Na$

### Component: sodium_channel_m_gate

$alpha_m = 0.1 ⁢- V - 48.0 ⅇ- V - 48.0 15.0 - 1.0$$beta_m = 0.12 ⁢ V + 8.0 ⅇ V + 8.0 5.0 - 1.0$$dd time m = alpha_m ⁢ 1.0 - m - beta_m ⁢ m$

### Component: sodium_channel_h_gate

$alpha_h = 0.17 ⁢ⅇ- V - 90.0 20.0$$beta_h = 1.0 1.0 +ⅇ- V - 42.0 10.0$$dd time h = alpha_h ⁢ 1.0 - h - beta_h ⁢ h$

### Component: potassium_channel

$i_K = g_K1 + g_K2 + g_K_add ⁢ V + 100.0$$g_K1 = 1.2e-2 ⁢ⅇ- V - 90.0 50.0 + 0.015e-2 ⁢ⅇ V + 90.0 60.0$$g_K2 = 1.2e-2 ⁢ n 4.0$

### Component: potassium_channel_n_gate

$alpha_n = 0.0001 ⁢- V - 50.0 ⅇ- V - 50.0 10.0 - 1.0$$beta_n = 0.002 ⁢ⅇ- V - 90.0 80.0$$dd time n = alpha_n ⁢ 1.0 - n - beta_n ⁢ n$

### Component: leakage_current

$i_Leak = g_L ⁢ V - E_L$
Source
Derived from workspace EMBC 2013 Tutorial - Noble 1962 reproducibility at changeset e2e13897b3f6.
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