Convolution of mini distributions for fitting evoked synaptic amplitude histograms

According to a basic formulation of the quantal model, evoked synaptic currents are made up of a linear summation of uniquantal synaptic currents, which in turn are equivalent to the spontaneous miniature synaptic currents ('minis') that often persist when evoked neurotransmitter release is blocked. Here I describe a convolution method for calculating linear summations of the 'mini' amplitude distribution, which can then be fitted to the measured amplitude distribution for evoked synaptic currents. Provided certain conditions are satisfied, this method can give information about the statistics of neurotransmitter release even when clear quantal peaks are not apparent in the evoked amplitude distribution. The method is illustrated by an experiment in which the appropriate minis are identified with the asynchronous excitatory postsynaptic currents that follow synaptic stimulation when the cell is bathed in strontium. Finally, I discuss the assumptions behind the convolution method, and the conditions under which the properties of the minis are likely to be appropriate for an analysis of this type.