You are here: Home / Exposures / Shorten, Robson, McKinnon, Wall, 2000 / CRH-induced Electrical Activity and Calcium Signalling in Pituitary Corticotrophs

Model Mathematics

Component based math viewer is available

Component: environment

Component: membrane

\frac{d}{d time} (V) = \frac{- (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 \frac{(Ca_i - Ca_e) ⅇ^{(- 2.0) \frac{F V}{R T}}}{1.0 - (ⅇ^{(- 2.0) \frac{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{1.0}{1.0 + ⅇ^{\frac{V_m_L - V}{k_m_L}}} tau_m_L = \frac{tau_m_L_max}{ⅇ^{\frac{V - V_tau}{k_tau}} + 2.0 ⅇ^{\frac{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

\frac{d}{d time} (m_T) = \frac{m_T_infinity - m_T}{tau_m_T} m_T_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{V_m_T - V}{k_m_T}}} tau_m_T = \frac{tau_m_T_max}{ⅇ^{\frac{V - V_tau}{k_tau}} + 2.0 ⅇ^{\frac{2.0 (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{1.0}{1.0 + ⅇ^{\frac{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 \frac{(K_i - K_e) ⅇ^{(- 1.0) \frac{F V}{R T}}}{1.0 - (ⅇ^{(- 1.0) \frac{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{1.0}{1.0 + ⅇ^{\frac{V_n - V}{k_n}}}

Component: Ca_activated_K_current

i_K_Ca = g_K_Ca \frac{{Ca_i}^{4.0}}{{Ca_i}^{4.0} + {Kc}^{4.0}} V_K

Component: inward_rectifier_current

i_K_IR = \{\begin{matrix} I_max (1.0 - (ⅇ^{\frac{V_K_IR - V}{ks}})) if V > V_K_IR \\ g_K_IR (V - V_K_IR) otherwise \end{matrix}

Component: cytosolic_calcium

\frac{d}{d time} (Ca_i) = f_cyt beta (J_in - J_eff) J_in = (- alpha) (i_Ca_L + i_Ca_T) J_eff = \frac{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.

Collaboration: To begin collaborating on this work, please use your git client and issue this command:

Downloads

Views Available

Tools

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

CRH-induced Electrical Activity and Calcium Signalling in Pituitary Corticotrophs