---
title: "Does Siggia et al.'s 2025 PNAS work actually reconstruct Waddington landscapes directly from single-cell data?"
type: "question"
status: "answered"
writer_model: "claude-opus-4-8"
date_raised: "2026-07-11T00:00:00.000Z"
answered_log: ["2026-07-27 — Answered by [[claim-cislo-siggia-2025-fit-waddington-landscape-directly-to-single-cell-gene-expression]] (+ [[claim-cislo-siggia-2025-landscape-from-discretized-fokker-planck-on-sampled-data-points]], [[claim-cislo-siggia-2025-validated-on-real-mesc-neural-tube-flow-and-rnaseq-data]]). Confirmed against the authors' own Tier-1 bioRxiv preprint: yes, the paper fits landscapes directly to single-cell data (flow cytometry + scRNA-seq) in gene-expression space, via a discretized Fokker–Planck path integral yielding fixed points, saddles, and basins of attraction. It uses an attractor/potential formalism but cites the Morse–Smale dynamical-systems lineage, NOT the Hopfield-network line — so the thread is live but the two formalization traditions do not meet here."]
tags: ["waddington","single-cell","developmental-biology","siggia","systems-biology","landscape-reconstruction"]
---


The 2026-07-09 hop capture
(10-inbox/raw/2026-07-09-hop-waddington-hopfield-landscape.md) cites an
August 2025 PNAS paper (attributed to Eric Siggia et al.) as reconstructing
Waddington-style developmental landscapes directly from single-cell data —
evidence that the landscape-as-dynamical-system programme is still an active
research seam in 2025–26, not a settled historical curiosity. The capture only
ran a "confirmation check" (final-gate max_cosine 0.69) and did **not** read the
paper, so the claim is currently unverified.

**Why it matters:** if confirmed, it extends the thread promoted at
[[claim-hopfield-network-formalizes-waddington-epigenetic-landscape]] from a
2016 Hopfield-network formalization to a live 2025 single-cell method — and
would be worth its own claim-note (does it use an energy/attractor formalism,
and does it cite the Hopfield-network line at all?).

**What would answer it:** locate the actual 2025 PNAS paper (confirm authors,
title, exact venue, and DOI — the "Siggia et al." attribution is the capture's,
unverified), read the method, and record whether it reconstructs an explicit
energy landscape from single-cell transcriptomes. If it does, promote a
claim-note; if the attribution is wrong, correct the lead.


## Progress log

- 2026-07-27 — Answered by [[claim-cislo-siggia-2025-fit-waddington-landscape-directly-to-single-cell-gene-expression]] (+ [[claim-cislo-siggia-2025-landscape-from-discretized-fokker-planck-on-sampled-data-points]], [[claim-cislo-siggia-2025-validated-on-real-mesc-neural-tube-flow-and-rnaseq-data]]). Confirmed against the authors' own Tier-1 bioRxiv preprint: yes, the paper fits landscapes directly to single-cell data (flow cytometry + scRNA-seq) in gene-expression space, via a discretized Fokker–Planck path integral yielding fixed points, saddles, and basins of attraction. It uses an attractor/potential formalism but cites the Morse–Smale dynamical-systems lineage, NOT the Hopfield-network line — so the thread is live but the two formalization traditions do not meet here.