You are here: Home / Exposures / Bertram, Previte, Sherman, Kinard, Satin, 2000 / The Phantom Burster Model for Pancreatic Beta Cells (fast bursting model)

Model Mathematics

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Component: environment

Component: membrane

\frac{d}{d time} (V) = \frac{- (ICa + IK + Il + Is1 + Is2)}{Cm}

Component: Ca_current

minf = \frac{1}{1 + ⅇ^{\frac{Vm - V}{sm}}} ICa = gCa minf (V - VCa)

Component: rapid_K_current

IK = gK n (V - VK) \frac{d}{d time} (n) = \frac{lambda (ninf - n)}{taun 1} ninf = \frac{1}{1 + ⅇ^{\frac{Vn - V}{sn}}} taun = \frac{tnbar}{1 + ⅇ^{\frac{V - Vn}{sn}}}

Component: slow_K_current

Is1 = gs1 s1 (V - VK) s1inf = \frac{1}{1 + ⅇ^{\frac{Vs1 - V}{ss1}}} \frac{d}{d time} (s1) = \frac{s1inf - s1}{taus1 1}

Component: very_slow_K_current

Is2 = gs2 s2 (V - VK) s2inf = \frac{1}{1 + ⅇ^{\frac{Vs2 - V}{ss2}}} \frac{d}{d time} (s2) = \frac{s2inf - s2}{taus2 1}

Component: leak_current

Il = gl (V - Vl)

Source: Derived from workspace Bertram, Previte, Sherman, Kinard, Satin, 2000 at changeset aef818c0e16b.

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