Model Mathematics

Component: single_neuron_model

Component: environment

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 m_infinity 3.0 1.0 - n V - E_Na

Component: fast_sodium_current_m_gate

m_infinity = 1.0 1.0 + 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 + V - theta_n sigma_n tau_n = tau_n_max cosh V - theta_n 2.0 sigma_n

Component: potassium_current

i_K = g_K n 4.0 V - E_K

Component: potassium_current_n_gate

dd time n = n_infinity - n tau_n n_infinity = 1.0 1.0 + V - theta_n sigma_n tau_n = tau_n_max cosh V - theta_n 2.0 sigma_n

Component: persistent_sodium_current

i_NaP = g_NaP m_infinity h V - E_Na

Component: persistent_sodium_current_m_gate

m_infinity = 1.0 1.0 + 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 + V - theta_h sigma_h tau_h = tau_h_max cosh V - theta_h 2.0 sigma_h

Component: leakage_current

i_L = g_L V - E_L

Component: tonic_current

i_tonic_e = g_tonic_e V - E_syn_e

Component: synaptic_input

i_syn_e=sum_g_syn_e_sV-E_syn_es_infinity=11+V-theta_ssigma_sddtimes=1-ss_infinity--krstau_s

Component: synaptic_coupling

sum_g_syn_e_s=g_syn_e_1_2s1+g_syn_e_1_3s1+g_syn_e_1_4s1+g_syn_e_1_5s1