DAN firing rates

James E. M. Bennett; Andrew Philippides; Thomas Nowotny

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DAN firing rates

JB James E. M. Bennett

AP Andrew Philippides

TN Thomas Nowotny

This method is extracted from research article: Nat Commun, May 2021

Learning with reinforcement prediction errors in a model of the Drosophila mushroom body

DOI: 10.1038/s41467-021-22592-4

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Once a cue has been chosen, the RP specific to that cue is fed back to the DANs where they are compared against the actual reinforcement, ${\hat{r}}^{i} = r_{+}^{i} - r_{-}^{i}$ , received in that trial, where r_± is the magnitude of reinforcement signal R_±. Given the chosen cue, q, D_± firing rates in the VS models are given by

whereas, in the MV model, D_± is given by

We set w_M = 1, such that the difference in DAN firing rates yields the RPE for cue q:

where ${\hat{d}}^{q}$ for the MV model is valid when $w_{K}^{T} k^{q} > ∣ {\hat{r}}^{q} - {\hat{m}}^{q} ∣$ . When the inequality is not satisfied, the precise expression for ${\hat{d}}^{q}$ in the MV model, taking into consideration the non-linear rectification in d₊ and d₋, is

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