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Stage III glutamatergic retinal wave model

3-layer propagation-readout architecture
wave example

Requirements

MATLAB R2018a / CUDA GPU

How do I run this?

Run rwave/main.m -> wave data will be automatically saved in (time steps X ON/OFF RGC states) matrix format under rwave/export/yyyy-mm-dd,HH-MM

ON/OFF RGC positions are saved as well, for later reconstruction of waveshapes.

Model architecture

Simplified 3-layer readout architecture: ON retinal ganglion cells -> AII amacrine cells -| OFF retinal ganglion cells (Kerschensteiner, 2016).

Superposition of ON/OFF RGC hexagonal mosaic results in a periodic moiré interference pattern, which later seeds V1 orientation tuning (Paik, 2011).

An ON RGC receives input from other nearby ON RGCs of distance < 120μm.
An AII AC receives input from nearby ON RGCs of distance < 12μm.
An OFF RGC gets inhibitory input from nearby ACs of distance < 12μm.

Propagation dynamics

The simulation starts in a state where a randomly selected fraction f>0.3 of the cells are assigned to be recruitable, and the remaining 1-f are assumed to be inactive for the duration (Butts, 1999).

A wave is initiated at t = 0 by a local stimulus and is allowed to propagate in ON RGC layer.

ON RGC: Recruitable -> Bursting -> Inactive
Upon receiving over-threshold input, an ON RGC fires for T = 1s. Then it becomes inactive during the rest of the event.

AC: Recruitable <-> Active
Upon receiving input, an AC suppresses nearby OFF RGC by giving negative input.

OFF RGC: Recruitable -> Hyperpolarized -> Bursting -> Inactive
When the inhibitory input ends (input returning to some <0 threshold), OFF RGCs fire for T = 1s. Then they become inactive for the rest of the event.

References

Se-Bum Paik & Dario L Ringach (2011) Retinal origin of orientation maps in visual cortex

Daniel A. Butts, Marla B. Feller, Carla J. Shatz, Daniel S. Rokhsar (1999) Retinal Waves Are Governed by Collective Network Properties

Daniel Kerschensteiner (2016) Glutamatergic Retinal Waves