You are here: Home / Exposures / Goforth, Bertram, Khan, Zhang, Sherman, Satin, 2002 / Calcium-activated K+ Channels of Mouse Beta Cells are Controlled by Both Store and Cytoplasmic Ca2+: Experimental and Theoretical Studies

Model Mathematics

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Component: environment

Component: membrane

\frac{d}{d time} (V) = \frac{- (i_Ca + i_K + i_KATP + i_KCa + i_Leak)}{Cm}

Component: calcium_current

i_Ca = g_Ca m_infinity (V - V_Ca)

Component: calcium_current_m_gate

m_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{Vm - V}{Sm}}}

Component: rapidly_activating_K_current

i_K = g_K n (V - V_K)

Component: rapidly_activating_K_current_n_gate

\frac{d}{d time} (n) = \frac{n_infinity - n}{tau_n} n_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{Vn - V}{Sn}}}

Component: Ca_activated_K_current

i_KCa = g_KCa w (V - V_K)

Component: Ca_activated_K_current_w_gate

w = \frac{{c_SS}^{q}}{{c_SS}^{q} + {Kd}^{q}}

Component: ATP_dependent_K_current

i_KATP = g_KATP (V - V_K)

Component: leak_current

i_Leak = g_Leak (V - V_Leak)

Component: calcium_concentrations

\frac{d}{d time} (c) = f_CYT ((- (alpha i_Ca + J_PMCA + J_SERCA)) + J_X) alpha = \frac{1.0}{2.0 F V_CYT} V_CYT = 25.0 V_ER V_SS = 0.4 V_CYT V_ER = 0.1 V_SS \frac{d}{d time} (c_ER) = f_ER (\frac{V_CYT}{V_ER} J_SERCA - J_RELEASE) \frac{d}{d time} (c_SS) = f_SS (\frac{V_ER}{V_SS} J_RELEASE - (\frac{V_CYT}{V_SS} J_X))

Component: calcium_fluxes

J_PMCA = k_PMCA c J_SERCA = k_SERCA c J_RELEASE = p_ER (c_ER - c_SS) J_X = p_X (c_SS - c)

Source: Derived from workspace Goforth, Bertram, Khan, Zhang, Sherman, Satin, 2002 at changeset 2cbf945d5b2c.

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Calcium-activated K+ Channels of Mouse Beta Cells are Controlled by Both Store and Cytoplasmic Ca2+: Experimental and Theoretical Studies