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Lyle Muller

Department of Neuroscience, The University of Texas at Dallas; Fields Lab for Network Computation, Fields Institute for Research in Mathematical Sciences, Toronto

Biological naturalist Consciousness requires living metabolic hardware

Lyle Muller leads the synthesis of the traveling-wave literature as it stands in 2026. His Neuron review with Alexandra Busch, Zachary Davis and John Reynolds gathers the circuit mechanism, the sparse-wave regime, the phase-gated detection data and the open computational questions into one account (the site’s analysis of the review). The mechanism his lab argues for is specific. About 80 percent of the synapses onto a visual cortical neuron come from recurrent horizontal connections inside the same area, those connections are mostly unmyelinated and slow, and the resulting distance-dependent delays are enough to generate waves in large spiking models whose speeds match the recordings.

That account carries a dispute with the field-theory reading of the same phenomena. Earl Miller and colleagues argue that cortical computation runs partly through electric fields acting back on neurons (his profile on this site), and Muller’s review answers in Box 1 with measured numbers, matching wave speeds to axon conduction and setting the in vitro field effects against the phase-locked changes seen in behaving animals. This site presents the disagreement as open, and the Brain Waves Console runs both mechanisms on one sheet so a reader can see the difference.

Muller’s group also supplies the computational side of the literature. The Benigno model showed that networks with distance-dependent connectivity and delays learn short-term prediction of natural movies while random-connectivity networks do not, and the Liboni model showed distance-coupled oscillatory networks whose inputs set natural frequencies and whose waves segment images. Both models carry the same argument the review makes, that a map with delays is the substrate waves need, and the generative-prediction framework the review proposes is labeled speculative by its own authors.

Known for. Lead author of the 2026 Neuron review of neural traveling waves in cortex, the Benigno wave-prediction model (Nature Communications 2023), the Liboni wave segmentation model (PNAS 2025), and the case against ephaptic wave mechanisms (Box 1 of the review)

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