Original title: Nonlinear regime transitions enable reservoir computation in activator–inhibitor cellular automata
Jurgen Riedel, Chris Barnes, Alexey Zaikin · September 2026
Scientists often study pattern-forming systems, like chemical mixtures that make stripes or spots, just to see the shapes they create. However, the same rules that make patterns can also process information. In this study, researchers built a grid-based computer model inspired by chemical reactions. The model uses two kinds of rules: a smooth curve and a step-like rule. By turning one dial in each rule, they changed the system's response without changing how grid cells connect. This shift pushed the grid through four states: collapsed, structured, saturated, and overshooting. Next, the team tested the system's memory and ability to tell inputs apart. They found that the model computes best right near the transitions between these states, rather than inside the states themselves. This reveals that materials that make patterns can also process data by slightly tweaking their local behavior.
When you cook a sauce, you adjust the heat to get the right thickness. Too low, it stays watery; too high, it burns. But right at the edge where it starts to thicken, the sauce behaves exactly as you want. In this paper, the sauce is a grid of cells that forms patterns, the heat is a single tuning parameter, and the strongest memory and input separation happen near that same kind of edge.
For engineers, this suggests new ways to build computers from physical media instead of silicon. For biologists, it hints that pattern-forming tissue might already be doing computation. The key insight is that the computational sweet spot is at the transition between regimes, not in stable states.
This work is based on simulated cellular automata, not physical experiments. It does not establish whether real pattern-forming media can be tuned this way, nor does it explain the underlying mechanism for why transitions are optimal. The abstract also does not specify quantitative performance or compare with other reservoir computing substrates.
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Nonlinear regime transitions enable reservoir computation in activator–inhibitor cellular automata — Jurgen Riedel, Chris Barnes, Alexey Zaikin — bioRxiv — doi:10.64898/2026.09.10.750595
Abstract licence: CC BY
Explanation generated by Synthesis from the abstract — it is not the original paper. This is a preprint, so it hasn't necessarily been peer reviewed.