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Component: environment

Component: membrane

\frac{d}{d time} (V) = \frac{- (i_Ca_L + i_Ca_T + i_K_DR + i_K_Ca + i_leak)}{Cm}

Component: L_type_calcium_current

i_Ca_L = g_Ca_L {m_L}^{2} phi_Ca phi_Ca = \frac{V (Ca_i - Ca_e) ⅇ^{\frac{(- 2) F V}{R T}}}{1 - (ⅇ^{\frac{(- 2) F V}{R T}})}

Component: L_type_calcium_current_m_gate

\frac{d}{d time} (m_L) = \frac{m_L_infinity - m_L}{tau_m_L} m_L_infinity = \frac{1}{1 + ⅇ^{\frac{V_m_L - V}{k_m_L}}} tau_m_L = \frac{tau_m_L_max}{ⅇ^{\frac{V - V_tau}{k_tau}} + 2 ⅇ^{\frac{2 (V_tau - V)}{k_tau}}}

Component: T_type_calcium_current

i_Ca_T = g_Ca_T {m_T}^{2} h_T phi_Ca

Component: T_type_calcium_current_m_gate

\frac{d}{d time} (m_T) = \frac{m_T_infinity - m_T}{tau_m_T} m_T_infinity = \frac{1}{1 + ⅇ^{\frac{V_m_T - V}{k_m_T}}} tau_m_T = \frac{tau_m_T_max}{ⅇ^{\frac{V - V_tau}{k_tau}} + 2 ⅇ^{\frac{2 (V_tau - V)}{k_tau}}}

Component: T_type_calcium_current_h_gate

\frac{d}{d time} (h_T) = \frac{h_T_infinity - h_T}{tau_h_T} h_T_infinity = \frac{1}{1 + ⅇ^{\frac{V - V_h_T}{k_h_T}}}

Component: voltage_sensitive_K_current

i_K_DR = g_K_DR n phi_K phi_K = \frac{V (K_i - K_e) ⅇ^{\frac{(- 1) F V}{R T}}}{1 - (ⅇ^{\frac{(- 1) F V}{R T}})}

Component: voltage_sensitive_K_current_n_gate

\frac{d}{d time} (n) = \frac{n_infinity - n}{tau_n} n_infinity = \frac{1}{1 + ⅇ^{\frac{V_n - V}{k_n}}}

Component: Ca_activated_K_current

i_K_Ca = \frac{g_K_Ca {Ca_i}^{4}}{{Ca_i}^{4} + {Kc}^{4}} phi_K

Component: leak_current

i_leak = g_L (V - V_L)

Component: ER_calcium

\frac{d}{d time} (Ca_er) = \frac{- f_er}{V_er} (J_rel - J_up) J_rel = P (Ca_er - Ca_i) J_up = \frac{v_er {Ca_i}^{2}}{{Ca_i}^{2} + {K_er}^{2}} V_er = V_cell 0.15

Component: cytosolic_calcium

\frac{d}{d time} (Ca_i) = \frac{f_cyt}{V_c} (J_rel - J_up) + f_cyt beta (J_in - J_eff) J_in = (- alpha) (i_Ca_L + i_Ca_T) J_eff = \frac{v_p {Ca_i}^{2}}{{Ca_i}^{2} + {K_p}^{2}} V_c = V_cell 0.85

Source: Derived from workspace Shorten, Wall, 2000 at changeset e919571d9bc2.

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A Hodgkin-Huxley Model Exhibiting Bursting Oscillations