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# Model Mathematics

### Component: membrane

$dd time V = g_I ⁢ sI 3.0 ⁢ yI + g_T ⁢ xT ⁢ V_I - V + g_K ⁢ xK 4.0 + g_P ⁢ c ⁢ Kp + c -1 ⁢ V_K - V + g_L ⁢ V_L - V$$g_I = 1 ⁢ V_H_Na - V_H_K V_I - V_K$$g_T = 1 ⁢ V_H_Na ⁢ V_K - V_I ⁢ V_H_K V_I - V_K$$Vs = 1 ⁢ g_I ⁢ V + 1 ⁢ g_T$

### Component: sI_gate

$alpha_m = 0.1 ⁢ 50.0 - Vs -ⅇ 50.0 - Vs 10.0 beta_m = 4.0 ⁢ⅇ 25.0 - Vs 18.0 sI = alpha_m alpha_m + beta_m$

### Component: yI_gate

$alpha_h = 0.07 ⁢ⅇ 25.0 - Vs 20.0 beta_h = 1.0 ⅇ 55.0 - Vs 10.0 + 1.0 dd time yI = ZI - yI tau_yI ZI = alpha_h alpha_h + beta_h tau_yI = 12.5 alpha_h + beta_h$

### Component: xT_gate

$dd time xT = sT - xT tau_xT sT = 1.0 ⅇ 0.15 ⁢ -50.0 - Vs + 1.0$

### Component: calcium_concentration

$dd time c = rho ⁢ K_c ⁢ xT ⁢ V_Ca - V - c$

### Component: xK_gate

$alpha_n = 0.01 ⁢ 55.0 - Vs ⅇ 55.0 - Vs 10.0 - 1.0 beta_n = 0.125 ⁢ⅇ 45.0 - Vs 80.0 dd time xK = sK - xK tau_xK sK = alpha_n alpha_n + beta_n tau_xK = 12.5 alpha_n + beta_n$
Model Curation
• Curation Status
• JSim
• COR
• OpenCell
Source
Derived from workspace Plant, 1981 at changeset 6b9fb51039ba.