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Model Mathematics

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Component: environment

Component: nucleotides

phi = ATP {(1 + k ADP)}^{2} \frac{d}{d time} (ATP) = \frac{v - phi}{1000 tau_c} \frac{d}{d time} (ADP) = \frac{phi - (eta ADP)}{1000 tau_c}

Component: membrane

\frac{d}{d time} (V) = \frac{- (I_Ca + I_K + I_KCa + I_KATP)}{C_m}

Component: Ca_current

I_Ca = g_Ca_m_infinity (V - V_Ca) m_infinity = \frac{1}{1 + ⅇ^{\frac{v_m - V}{s_m}}}

Component: K_current

I_K = g_K_n (V - V_K)

Component: Ca_activated_K_current

omega = \frac{1}{1 + \frac{k_D}{c}} I_KCa = g_KCa_omega (V - V_K)

Component: ATP_sensitive_K_current

I_KATP = \frac{(V - V_K) g_KATP_}{ATP}

Component: K_channel_activation

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

Component: cytosolic_Ca

\frac{d}{d time} (c) = J_mem

Component: Ca_influx

J_mem = (- f) (alpha I_Ca + k_c c)

Source: Derived from workspace Wierschem 2004 at changeset a74071c2152f.

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Complex bursting in pancreatic islets: a potential glycolytic mechanism