# Model Mathematics

### Component: membrane

$dd time V =- i_Ca + i_K + i_K_Ca + i_K_ATP Cm$

### Component: calcium_current

$i_Ca = g_Ca ⁢ m_infinity ⁢ V - V_Ca$

### Component: calcium_current_m_gate

$m_infinity = 1.0 +ⅇ vm - V sm -1.0$

### Component: delayed_rectifier_potassium_current

$i_K = g_K ⁢ n ⁢ V - V_K$

### Component: delayed_rectifier_potassium_current_n_gate

$dd time n = n_infinity - n tau_n n_infinity = 1.0 +ⅇ vn - V sn -1.0$

### Component: calcium_dependent_potassium_current

$i_K_Ca = g_K_Ca ⁢ omega ⁢ V - V_K$

### Component: calcium_dependent_potassium_current_omega_gate

$omega = c 5.0 c 5.0 + kD 5.0$

### Component: nucleotide_sensitive_potassium_current

$i_K_ATP = g_K_ATP ⁢ a ⁢ V - V_K$

### Component: nucleotide_sensitive_potassium_current_a_gate

$dd time a = a_infinity - a tau_a a_infinity = 1.0 +ⅇ r - c sa -1.0$

### Component: cytosolic_free_calcium_concentration

$dd time c = fcyt ⁢ Jmem + Jer$

### Component: ER_calcium_concentration

$dd time c_er =- fer ⁢ Vcyt_Ver ⁢ Jer$

### Component: calcium_flux_through_the_membrane

$Jmem =- alpha ⁢ i_Ca + kPMCA ⁢ c$

### Component: calcium_influx_into_the_ER

$J_SERCA = kSERCA ⁢ c$

### Component: calcium_leak_out_of_the_ER

$Jleak = pleak ⁢ c_er - c$

### Component: calcium_efflux_through_the_IP3R

$JIP3 = O_infinity ⁢ c_er - c O_infinity=cd_act+c3⁢IP3d_IP3+IP33⁢cd_inact+c3⁢1$

### Component: net_calcium_efflux_out_of_the_ER

$Jer = Jleak + JIP3 - J_SERCA$
Source
Derived from workspace Bertram, Sherman, 2004 at changeset b7eb10424f85.
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