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Model Mathematics

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Component: environment

Component: membrane

\frac{d}{d time} (V) = \frac{- (i_Ca + i_K + i_K_ATP + i_s)}{tau}

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{V_m - V}{theta_m}}}

Component: potassium_current

i_K = g_K n (V - V_K)

Component: potassium_current_n_gate

\frac{d}{d time} (n) = \frac{lambda (n_infinity - n)}{tau} n_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{V_n - V}{theta_n}}}

Component: slow_current

i_s = g_s s (V - V_K)

Component: slow_current_s_gate

\frac{d}{d time} (s) = \frac{s_infinity - s}{tau_s} s_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{V_s - V}{theta_s}}}

Component: ATP_sensitive_potassium_current

i_K_ATP = g_K_ATP p (V - V_K)

Source: Derived from workspace Devries, Sherman, 2000 at changeset 9d382c8d1945.

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Channel Sharing in Pancreatic Beta-Cells Revisited: Enhancement of Emergent Bursting by Noise