Model Mathematics

Component: environment

Component: membrane

dd time V =- i_Na + i_Ca + i_K + i_K_Ca + i_L Cm

Component: sodium_current

i_Na = g_Na ⁢ m_infinity 3.0 ⁢ h ⁢ V - V_Na

Component: sodium_current_m_gate

alpha_m = 0.1 ⁢ V - 50.0 1.0 + -1.0 ⁢ⅇ V - 50.0 -10.0 beta_m = 4.0 ⁢ⅇ V - 25.0 -18.0 m_infinity = alpha_m ⁢ 1.21 ⁢ V + 78.71 alpha_m ⁢ 1.21 ⁢ V + 78.71 + beta_m ⁢ 1.21 ⁢ V + 78.71

Component: sodium_current_h_gate

alpha_h = 0.07 ⁢ⅇ V - 25.0 -20.0 beta_h = 0.07 ⁢ⅇ V - 55.0 10.0 1.0 +ⅇ V - 55.0 10.0 dd time h = h_infinity - h tau_h h_infinity = alpha_h ⁢ 1.21 ⁢ V + 78.71 alpha_h ⁢ 1.21 ⁢ V + 78.71 + beta_h ⁢ 1.21 ⁢ V + 78.71 tau_h = 1.0 0.08 ⁢ alpha_h ⁢ 1.21 ⁢ V + 78.71 + beta_h ⁢ 1.21 ⁢ V + 78.71

Component: calcium_current

i_Ca = g_Ca ⁢ x ⁢ V - V_Ca dd time c = f ⁢ k1 ⁢ x ⁢ V - V_Ca - c

Component: calcium_current_x_gate

dd time x = x_infinity - x tau_x x_infinity = 1.0 ⅇ -0.15 ⁢ V + 50.0 + 1.0

Component: potassium_current

i_K = g_K ⁢ n 4.0 ⁢ V - V_K

Component: potassium_current_n_gate

alpha_n = 0.07 ⁢ V - 55.0 1.0 -ⅇ V - 55.0 -10.0 beta_n = 0.125 ⁢ⅇ V - 45.0 -80.0 dd time n = n_infinity - n tau_n n_infinity = alpha_n ⁢ 1.21 ⁢ V + 78.71 alpha_n ⁢ 1.21 ⁢ V + 78.71 + beta_n ⁢ 1.21 ⁢ V + 78.71 tau_n = 1.0 0.08 ⁢ alpha_n ⁢ 1.21 ⁢ V + 78.71 + beta_n ⁢ 1.21 ⁢ V + 78.71

Component: calcium_activated_potassium_current

i_K_Ca = g_K_Ca c 0.5 + c ⁢ V - V_K

Component: leak_current

i_L = g_L ⁢ V - V_L