# Model Mathematics

### Component: membrane

$dd time V =- i_Ca_L + i_Ca_T + i_K_DR + i_K_Ca + i_K_IR Cm$

### Component: L_type_calcium_current

$i_Ca_L = g_Ca_L ⁢ m_L 2.0 ⁢ V_Ca V_Ca = V ⁢ Ca_i - Ca_e ⁢ⅇ- 2.0 ⁢ F ⁢ V R ⁢ T 1.0 -ⅇ- 2.0 ⁢ F ⁢ V R ⁢ T$

### Component: L_type_calcium_current_m_gate

$dd time m_L = m_L_infinity - m_L tau_m_L m_L_infinity = 1.0 1.0 +ⅇ V_m_L - V k_m_L tau_m_L = tau_m_L_max ⅇ V - V_tau k_tau + 2.0 ⁢ⅇ 2.0 ⁢ V_tau - V k_tau$

### Component: T_type_calcium_current

$i_Ca_T = g_Ca_T ⁢ m_T 2.0 ⁢ h_T ⁢ V_Ca$

### Component: T_type_calcium_current_m_gate

$dd time m_T = m_T_infinity - m_T tau_m_T m_T_infinity = 1.0 1.0 +ⅇ V_m_T - V k_m_T tau_m_T = tau_m_T_max ⅇ V - V_tau k_tau + 2.0 ⁢ⅇ 2.0 ⁢ V_tau - V k_tau$

### Component: T_type_calcium_current_h_gate

$dd time h_T = h_T_infinity - h_T tau_h_T h_T_infinity = 1.0 1.0 +ⅇ V - V_h_T k_h_T$

### Component: voltage_sensitive_K_current

$i_K_DR = g_K_DR ⁢ n ⁢ V - V_K V_K = V ⁢ K_i - K_e ⁢ⅇ- 1.0 ⁢ F ⁢ V R ⁢ T 1.0 -ⅇ- 1.0 ⁢ F ⁢ V R ⁢ T$

### Component: voltage_sensitive_K_current_n_gate

$dd time n = n_infinity - n tau_n n_infinity = 1.0 1.0 +ⅇ V_n - V k_n$

### Component: Ca_activated_K_current

$i_K_Ca = g_K_Ca ⁢ Ca_i 4.0 Ca_i 4.0 + Kc 4.0 ⁢ V_K$

### Component: inward_rectifier_current

$i_K_IR = I_max ⁢ 1.0 -ⅇ V_K_IR - V ks if V > V_K_IR g_K_IR ⁢ V - V_K_IR otherwise$

### Component: cytosolic_calcium

$dd time Ca_i = f_cyt ⁢ beta ⁢ J_in - J_eff J_in =- alpha ⁢ i_Ca_L + i_Ca_T J_eff = v_p ⁢ Ca_i 2.0 Ca_i 2.0 + K_p 2.0$
Source
Derived from workspace Shorten, Robson, Mckinnon, Wall, 2000 at changeset 0a7f622b959b.
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