# Model Mathematics

### Component: membrane

$ddtimeV=i_app-i_Na+i_Ca_L+i_Ca_T+i_K_dr+i_M+i_ir+i_dCm$

### Component: sodium_current

$i_Na=g_Na⁢O⁢V-V_NaO=A3$

### Component: A

$ddtimeA=alpha⁢D+k1_⁢A_-beta⁢A+k1⁢A$

### Component: A_

$ddtimeA_=alpha⁢a⁢D_+k1⁢A-betaa⁢A_+k1_⁢A_$

### Component: D

$ddtimeD=beta⁢A+k2_⁢D_-alpha⁢D+k2⁢D$

### Component: D_

$ddtimeD_=betaa⁢A_+k2⁢D-alpha⁢a⁢D_+k2_⁢D_$

### Component: reaction_constants

$alpha=101+ⅇ-V+610beta=101+ⅇV+54.44.6a=k1⁢k2_k1_⁢k2$

### Component: L_type_calcium_current

$i_Ca_L=g_Ca_L⁢m2⁢V-V_Ca$

### Component: L_type_calcium_current_m_gate

$ddtimem=m_infinity-mtau_mm_infinity=11+ⅇ-V-Vh12tau_m=5ⅇV+1525+ⅇ-V+1525$

### Component: T_type_calcium_current

$i_Ca_T=g_Ca_T⁢m2⁢h⁢V-V_Ca$

### Component: T_type_calcium_current_m_gate

$ddtimem=m_infinity-mtau_mm_infinity=11+ⅇ-V-56.110tau_m=7ⅇV+509+ⅇ-V+509+0.8$

### Component: T_type_calcium_current_h_gate

$ddtimeh=h_infinity-htau_hh_infinity=11+ⅇV+86.44.7$

### Component: delayed_rectifier_K_channel_current

$i_K_dr=g_K_dr⁢n4⁢h⁢V-V_K$

### Component: delayed_rectifier_K_channel_current_n_gate

$ddtimen=n_infinity-ntau_nn_infinity=11+ⅇ-V+2515tau_n=15ⅇV+3015+ⅇ-V+3015+1$

### Component: delayed_rectifier_K_channel_current_h_gate

$ddtimeh=h_infinity-htau_hh_infinity=0.71+ⅇ-V+3510+0.3$

### Component: M_like_K_current

$i_M=g_M⁢n⁢V-V_K$

### Component: M_like_K_current_n_gate

$ddtimen=n_infinity-ntau_nn_infinity=11+ⅇ-V+374tau_n=80ⅇV+3015+ⅇ-V+3015$

### Component: inward_rectifier_K_current

$i_ir=g_ir⁢n_infinity⁢V-V_K$

### Component: inward_rectifier_K_current_n_gate

$n_infinity=0.8⁢11+ⅇV+8012+0.2$

### Component: inward_leak_current

$i_d=g_d⁢V-V_Ca$
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