Model Mathematics

Component: environment

Component: membrane

dd time V =Istim- i_Na + i_s + i_x1 + i_K1 C IStimC=Istim

Component: fast_sodium_current

i_Na = g_Na ⁢ m 3.0 ⁢ h ⁢ V - E_Na

Component: fast_sodium_current_m_gate

alpha_m = 0.9 ⁢ V + 42.65 1.0 -ⅇ -0.22 ⁢ V + 42.65 beta_m = 1.437 ⁢ⅇ -0.085 ⁢ V + 39.75 dd time m = alpha_m ⁢ 1.0 - m - beta_m ⁢ m

Component: fast_sodium_current_h_gate

alpha_h = 0.1 ⁢ⅇ -0.193 ⁢ V + 79.65 beta_h = 1.7 1.0 +ⅇ -0.095 ⁢ V + 20.5 dd time h = alpha_h ⁢ 1.0 - h - beta_h ⁢ h

Component: slow_inward_current

E_s = -82.3 - 13.0287 ⁢ln⁡ 0.001 ⁢ Cai i_s = g_s ⁢ d ⁢ f ⁢ V - E_s dd time Cai = -0.01 ⁢ i_s + 0.07 ⁢ -0.0001 - Cai

Component: slow_inward_current_d_gate

alpha_d = 0.095 ⁢ⅇ- V - 5.0 100.0 1.0 +ⅇ- V - 5.0 13.89 beta_d = 0.07 ⁢ⅇ- V + 44.0 59.0 1.0 +ⅇ V + 44.0 20.0 dd time d = alpha_d ⁢ 1.0 - d - beta_d ⁢ d

Component: slow_inward_current_f_gate

alpha_f = 0.012 ⁢ⅇ- V + 28.0 125.0 1.0 +ⅇ V + 28.0 6.67 beta_f = 0.0065 ⁢ⅇ- V + 30.0 50.0 1.0 +ⅇ- V + 30.0 5.0 dd time f = alpha_f ⁢ 1.0 - f - beta_f ⁢ f

Component: time_dependent_outward_current

i_x1 = x1 ⁢ 8.0e-3 ⁢ⅇ 0.04 ⁢ V + 77.0 - 1.0 ⅇ 0.04 ⁢ V + 35.0

Component: time_dependent_outward_current_x1_gate

alpha_x1 = 5e-4 ⁢ⅇ V + 50.0 12.1 1.0 +ⅇ V + 50.0 17.5 beta_x1 = 0.0013 ⁢ⅇ- V + 20.0 16.67 1.0 +ⅇ- V + 20.0 25.0 dd time x1 = alpha_x1 ⁢ 1.0 - x1 - beta_x1 ⁢ x1

Component: time_independent_outward_current

i_K1 = 0.35e-2 ⁢ 4.0 ⁢ⅇ 0.04 ⁢ V + 85.0 - 1.0 ⅇ 0.08 ⁢ V + 53 +ⅇ 0.04 ⁢ V + 53.0 + 0.2 ⁢ V + 23.0 1.0 -ⅇ -0.04 ⁢ V + 23.0