# Model Mathematics, Interactive Component Viewer

When the graph appears, select a component to see its associated
mathematical equations. Elements within the viewport can be rearranged
by click and drag with the cursor. The viewport can be moved by click
and drag on an empty area. Zooming can be adjusted by the scroll wheel.

### Component: single_neuron_model

### Component: membrane

$dd time V =- i_NaP + i_Na + i_K + i_L + i_tonic_e + i_syn_e + i_app C $

### Component: fast_sodium_current

$ i_Na = g_Na \u2062 m_infinity 3.0 \u2062 1.0 - n \u2062 V - E_Na $

### Component: fast_sodium_current_m_gate

$ m_infinity = 1.0 1.0 +\u2147 V - theta_m sigma_m $

### Component: fast_sodium_current_n_gate

$dd time n = n_infinity - n tau_n n_infinity = 1.0 1.0 +\u2147 V - theta_n sigma_n tau_n = tau_n_max cosh\u2061 V - theta_n 2.0 \u2062 sigma_n $

### Component: potassium_current

$ i_K = g_K \u2062 n 4.0 \u2062 V - E_K $

### Component: potassium_current_n_gate

$dd time n = n_infinity - n tau_n n_infinity = 1.0 1.0 +\u2147 V - theta_n sigma_n tau_n = tau_n_max cosh\u2061 V - theta_n 2.0 \u2062 sigma_n $

### Component: persistent_sodium_current

$ i_NaP = g_NaP \u2062 m_infinity \u2062 h \u2062 V - E_Na $

### Component: persistent_sodium_current_m_gate

$ m_infinity = 1.0 1.0 +\u2147 V - theta_m sigma_m $

### Component: persistent_sodium_current_h_gate

$dd time h = h_infinity - h tau_h h_infinity = 1.0 1.0 +\u2147 V - theta_h sigma_h tau_h = tau_h_max cosh\u2061 V - theta_h 2.0 \u2062 sigma_h $

### Component: leakage_current

$ i_L = g_L \u2062 V - E_L $

### Component: tonic_current

$ i_tonic_e = g_tonic_e \u2062 V - E_syn_e $

### Component: synaptic_coupling

$sum_g_syn_e_s=g_syn_e_1_2\u2062s1+g_syn_e_1_3\u2062s1+g_syn_e_1_4\u2062s1+g_syn_e_1_5\u2062s1$