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. 2002 Sep 15;22(18):7968–7981. doi: 10.1523/JNEUROSCI.22-18-07968.2002

Fig. 1.

Fig. 1.

Determination of quantal parameters by nonstationary analysis as tested on a simulated experiment.A, IPSC amplitude =f(t) values (○) were calculated as the product binomial (n,pt)*q in whichn = 600 sites and q = 2 nS. A sigmoid decrease of release probability p = po*pA with time, t, was simulated using equationpt = 0.8/[1 + exp(−(t−20)/−3.5)0.5]. The solid line denotes the set of the Imeanvalues determined at each t (for details see Materials and Methods). B, Magnification of boxshown in A. The window width used for local linear fitting (w) is indicated withinbrackets (here w = 9). Linear fit is indicated by solid straight line. The mid-values of the local linear fits are the estimates of Imeanand are indicated by small dots on a solid line. C, Fluctuations in IPSC amplitude are approximated at each time t of the I= f(t) plot, by subtractingImean from corresponding Ivalue (○). The Imean values determined by nonstationary analysis deviate from the trueImean. This difference was determined by subtracting the determined Imean values from the predicted Imean and is represented by asolid thick line. The brackets denote the window width W used for Var determination (hereW = 16). D, The corresponding Var = f(Imean) plot. Solid line denotes the adjustment of the data by simple parabola (Eq. 4). The predicted parabola (dashed line) was calculated using Equations 1 and 2 and the above-mentioned quantal parameters. The difference between both parabolas generates errors in the determinations of qand n. The extent of this error can be minimized by optimizing the window width (w) used for local linear fitting of IPSC =f(t). Error in estimation ofq is shown in Eq(%)] as a function of w, for two “experimental” conditions: when simulated IPSC amplitude decreases rapidly (t1/2 = 25 min) or slowly (t1/2 = 75 min). These situations are denoted by ● and ▪, respectively. For these two conditions, optimalw values are indicated by arrows.