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Model Mathematics

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Component: environment

Component: membrane

\frac{d}{d time} (V) = \frac{- (i_s + i_K + i_K_ACh + i_j)}{Cm}

Component: calcium_channel

i_s = \frac{1}{2} g_s (1 + \tanh (\frac{V - V_1}{V_2})) (V - V_s)

Component: potassium_channel

i_K = g_K w (V - V_K)

Component: potassium_channel_w_gate

\frac{d}{d time} (w) = lambda_w \cosh (\frac{V - V_3}{2 V_4}) (\frac{1}{2} (1 + \tanh (\frac{V - V_3}{V_4})) - w)

Component: acetyl_choline_activated_potassium_channel

i_K_ACh = 1 0.27 u (V + 90)

Component: acetyl_choline_activated_potassium_channel_u_gate

alpha = \frac{0.012332}{1 + \frac{4.2 e -6}{ACh}} beta = 0.01 ⅇ^{0.0133 (V + 40)} \frac{d}{d time} (u) = alpha (1 - u) - (beta u)

Component: coupling_current

i_j = g_j (V - V_B)

Source: Derived from workspace Endresen, 1996 at changeset 8a05a1fd51af.

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Chaos in Weakly-coupled Pacemaker Cells