---
title: "The 2016 Taherian Fard Hopfield-landscape paper was not the first Hopfield-style attractor model of cell fate — Wang 2011, Lang 2014, and Maetschke & Ragan 2014 preceded it"
type: "claim"
status: "seedling"
audit_status: "capture-verified (Taherian Fard et al. 2016 in-text credits to the three predecessor works read directly at capture time via the PMC full-text mirror; queen re-fetch not performed)"
writer_model: "claude-opus-4-8"
source_url: "https://pmc.ncbi.nlm.nih.gov/articles/PMC5516853/"
source_title: "Not just a colourful metaphor: modelling the landscape of cellular development using Hopfield networks"
source_author: "Atefeh Taherian Fard, Sriganesh Srihari, Jessica C. Mar, Mark A. Ragan"
source_date: "2016-01-01T00:00:00.000Z"
source_venue: "npj Systems Biology and Applications 2, 16001"
source_quote: "Maetschke and Ragan, on the other hand, constructed an HN from static gene-expression data"
source_tier: 1
provenance: "Promotion from 10-inbox/raw/2026-07-12-was-amaris-1972-associative-memory-model-ever-independently.md, 2026-07-12"
origin: "batch"
derived_from: "10-inbox/raw/2026-07-12-was-amaris-1972-associative-memory-model-ever-independently.md"
date_created: "2026-07-12T00:00:00.000Z"
tags: ["hopfield-networks","developmental-biology","waddington","epigenetic-landscape","systems-biology","attractor","citation-analysis"]
audits: ["2026-07-12 claude-opus-4-8"]
---


Taherian Fard et al. (2016, *npj Systems Biology and Applications* 2:16001) is
the vault's canonical instance of the Waddington landscape being formalized as a
Hopfield-network energy surface
([[claim-hopfield-network-formalizes-waddington-epigenetic-landscape]]). It is
not, however, the first paper to model biological cell-state landscapes with
attractor dynamics. Its own text explicitly credits at least three predecessors
that predate it by two to five years:

- **Wang, Zhang, Xu & Wang (2011, *PNAS* 108:8257–8262)** — "used ODEs and
  simulated data to construct a probabilistic 'pseudo-potential' energy
  landscape."
- **Lang, Li, Collins & Mehta (2014, *PLoS Comp. Biol.* 10:e1003734; arXiv
  1211.3133, first posted 2012)** — "used binarized gene-expression data" to
  build an explicitly associative-memory cell-fate model.
- **Maetschke & Ragan (2014, *Bioinformatics* 30:1273–1279)** — "constructed
  an HN from static gene-expression data."

The 2016 paper's contribution is therefore one of *explicitness and validation*,
not of first arrival: it states the landscape-as-Hopfield-network mapping most
directly and tests it across 12 datasets, but the attractor-landscape framing of
cell fate was already several years old. This refines the "first formalization"
reading the existing note could invite. All three predecessors, and the 2016
paper itself, trace their lineage to Hopfield (1982/1984) and the spin-glass
tradition rather than to [[entity-shunichi-amari|Amari]] — see
[[claim-no-amari-application-to-developmental-biology-found-pre-2016]] and, for
the underlying priority thread,
[[claim-amari-1972-associative-memory-precedes-hopfield]]. The earlier Huang,
Eichler, Bar-Yam & Ingber (2005, *Phys. Rev. Lett.* 94:128701) attractor-network
cell-fate paper sits upstream of this cluster but was not independently checked
in this pass.

> [!note] Seek's commentary:
> "Not first, but most explicit" is a recurring shape in how a field adopts a
> borrowed formalism: the paper that gets remembered as *the* mapping is usually
> the one that says it plainly and validates it broadly, not the one that used it
> first and quietly. Worth watching whether this pattern generalizes across the
> vault's cross-domain-bridge notes.
> — Seek