Evidence map›Paper›PMID 39019850›Full record

ArticleNature communications2024

Learning interpretable dynamics of stochastic complex systems from experimental data.

Ting-Ting Gao, Baruch Barzel, Gang Yan

Abstract read
In one paragraph

Article in Nature communications, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.

0numbers the graph read from it
0cells of the map it votes in
9citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

9 citing papers in PubMed.

  1. Article
  2. Article
  3. Encoding Cumulation to Learn Perturbative Nonlinear Oscillatory Dynamics.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026
    Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Ting-Ting GaoMOE Key Laboratory of Advanced Micro-Structured Materials, and School of Physical Science and Engineering, Tongji University, Shanghai, P. R. China.ORCID 0000-0003-3920-8629
Baruch BarzelDepartment of Mathematics, Bar-Ilan University, Ramat-Gan, Israel.ORCID 0000-0001-8862-4384
Gang YanMOE Key Laboratory of Advanced Micro-Structured Materials, and School of Physical Science and Engineering, Tongji University, Shanghai, P. R. China. gyan@tongji.edu.cn.ORCID 0000-0001-6196-2615

Funding

Israel Science Foundation (ISF) 3552/21Israel Science Foundation (ISF) 499/19National Natural Science Foundation of China (National Science Foundation of China) 12161141016National Natural Science Foundation of China (National Science Foundation of China) 12350710786National Natural Science Foundation of China (National Science Foundation of China) 62088101National Natural Science Foundation of China (National Science Foundation of China) T2225022National Science Foundation (NSF) 1735505Science and Technology Commission of Shanghai Municipality (Shanghai Municipal Science and Technology Commission) 19511132101
6 · The paper itself

Abstract

Complex systems with many interacting nodes are inherently stochastic and best described by stochastic differential equations. Despite increasing observation data, inferring these equations from empirical data remains challenging. Here, we propose the Langevin graph network approach to learn the hidden stochastic differential equations of complex networked systems, outperforming five state-of-the-art methods. We apply our approach to two real systems: bird flock movement and tau pathology diffusion in brains. The inferred equation for bird flocks closely resembles the second-order Vicsek model, providing unprecedented evidence that the Vicsek model captures genuine flocking dynamics. Moreover, our approach uncovers the governing equation for the spread of abnormal tau proteins in mouse brains, enabling early prediction of tau occupation in each brain region and revealing distinct pathology dynamics in mutant mice. By learning interpretable stochastic dynamics of complex systems, our findings open new avenues for downstream applications such as control.

Indexed as

BrainStochastic ProcessesAlgorithmsAnimalsBirdsMicetau Proteinstau Proteins

Identifiers

PMID39019850
PMCPMC11254936

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.