# Model Mathematics

### Component: membrane

$dd time V =- 1.0 Cm ⁢ alpha ⁢ i_Ca_T + i_Ca_L + i_Ca_K + i_K + i_Cl$

### Component: gate_voltage

$V_tilde = 127.0 ⁢ V + 8265.0 105.0$

### Component: T_type_calcium_current

$i_Ca_T = g_Ca_T ⁢ m 3.0 ⁢ h ⁢ V - E_Ca$

### Component: T_type_calcium_current_m_gate

$alpha_m = 0.1 ⁢ 50.0 - V_tilde ⅇ 5.0 - V_tilde ⁢ 0.1 - 1.0 beta_m = 4.0 ⁢ⅇ 25.0 - V_tilde 18.0 m = alpha_m alpha_m + beta_m$

### Component: T_type_calcium_current_h_gate

$alpha_h = 0.07 ⁢ⅇ 25.0 - V_tilde 20.0 beta_h = 1.0 1.0 +ⅇ 5.5 - V_tilde ⁢ 0.1 dd time h = alpha_h ⁢ 1.0 - h - beta_h ⁢ h alpha ⁢ lamda$

### Component: L_type_calcium_current

$i_Ca_L = g_Ca_L ⁢ x_Ca ⁢ V - E_Ca$

### Component: L_type_calcium_current_x_Ca_gate

$dd time x_Ca = 1.0 1.0 +ⅇ 0.15 ⁢- V_tilde - 50.0 - x_Ca alpha ⁢ tau_x_Ca$

### Component: potassium_current

$i_K = g_K ⁢ n 4.0 ⁢ V - E_K$

### Component: potassium_current_n_gate

$alpha_n = 0.01 ⁢ 55.0 - V_tilde ⅇ 55.0 - V_tilde 10.0 - 1.0 beta_n = 0.125 ⁢ⅇ 45.0 - V_tilde 80.0 dd time n = alpha_n ⁢ 1.0 - n - beta_n ⁢ n alpha ⁢ lamda$

### Component: calcium_activated_potassium_current

$i_Ca_K = g_Ca_K ⁢ Ca ⁢ V - E_K 0.5 + Ca dd time Ca = rho alpha ⁢ K_c ⁢ x_Ca ⁢ E_Ca - V - Ca$

### Component: leak_chloride_current

$i_Cl = g_Cl ⁢ V - E_Cl$
Source
Derived from workspace Miftakhov, Abdusheva, Christensen, 1999 at changeset ffc28b0c98c8.
Collaboration
To begin collaborating on this work, please use your git client and issue this command:
Downloads
Tools
License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.