Model Mathematics

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

Ica = gCa m_infinity (V - VCa)

m_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{vm - V}{sm}}}

Is1 = gs1 s1 (V - VK)

\frac{d}{d time} (s1) = autos1 \frac{s1_infinity - s1}{tau_s1} + (1.0 - autos1) (s1knot - s1) s1_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{vs1 - V}{ss1}}}

Ik = gK n (V - VK)

\frac{d}{d time} (n) = \frac{n_infinity - n}{tau_n} n_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{vn - V}{sn}}} tau_n = \frac{tau_n_bar}{1.0 + ⅇ^{\frac{V - vn}{sn}}}

Il = gl q (V - Vl) q = \frac{1.0 + p}{2.0} \frac{d}{d time} (p) = \frac{alpha_p (1.0 - p) - (beta_p p)}{tau_p} + noise w sigma beta_p = alpha_p (\frac{1.0}{p0} - 1.0) nstoc = \frac{1000.0}{{delNoise}^{2.0}} sigma = \sqrt{\frac{alpha_p (1.0 - p) + beta_p p}{tau_p nstoc}}

Is2 = gs2 s2 (V - VK)

\frac{d}{d time} (s2) = autos2 \frac{s2_infinity - s2}{tau_s2} + (1.0 - autos2) (s2knot - s2) s2_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{vs2 - V}{ss2}}}