Mathematical framework for place coding in the auditory system
Fig 4
Predicted effects of addition and multiplication.
a, top, addition of two intervals (cyan, blue) when the length of one interval (blue) is increased. bottom, one interval (blue) is shifted to the right of the other (cyan). b, top, multiplication of an excitatory interval (blue) by an inhibitory interval of increasing length (red). bottom, multiplication when the inhibitory interval is shifted to the right. c, top, effects of inhibition (red) on two excitatory intervals (blue, cyan). With the inhibitory interval at a fixed location, the distance between the excitatory intervals is increased systematically. bottom, Effects of two inputs configured as center-surround where the excitatory intervals (blue, cyan) are each flanked by two inhibitory intervals (red, magenta). One of the inputs is shifted systematically to the right of the other. Predicted product length when the inputs occur simultaneously (orange) and when calculated with inputs delivered sequentially.