Published December 13, 2025 | Version v1

Rosetta Stone of Neural Mass Models

  • 1. Neuroelectrics
  • 2. ROR icon Universitat Politècnica de Catalunya
  • 3. ROR icon Universitat Pompeu Fabra
  • 4. Neuroelectrics Barcelona SL
  • 5. Starlab Barcelona, SL

Description

 Brain dynamics dominate every level of neural organization—from single-neuron spiking to the macroscopic waves captured by fMRI, MEG, and EEG—yet the mathematical tools used to interrogate those dynamics remain scattered across a patchwork of traditions. Neural mass models (NMMs) (aggregate neural models) provide one of the most popular gateways into this landscape, but their sheer variety---spanning lumped parameter models, firing‐rate equations, and multi‐layer generators--- demands a unifying framework that situates diverse architectures along a continuum of abstraction and biological detail. Here, we start from the idea that oscillations originate from a simple push-pull interaction between two or more neural populations. We build from the undamped harmonic oscillator and, guided by a simple push–pull motif between excitatory and inhibitory populations, climb a systematic ladder of detail.   Each rung is presented first in isolation, next under forcing, and then within a coupled network, reflecting the progression from single‐node  to whole‐brain modeling. By transforming a repertoire of disparate formalisms into a navigable ladder, we hope to turn NMM choice from a subjective act into a principled design decision, helping both theorists and experimentalists translate between scales, modalities, and interventions. In doing so, we offer a \emph{Rosetta Stone} for brain oscillation models—one that lets the field speak a common dynamical language while preserving the dialectical richness that fuels discovery.

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