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Machine learning active-nematic hydrodynamics

delete2021-03-02
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OA
AI
J
Jonathan Colen
M
Ming Han
R
Rui Zhang
S
Steven A. Redford
L
Linnea Lemma
L
Link Morgan
P
Paul V. Ruijgrok
R
Raymond Adkins
Z
Zev Bryant
Z
Zvonimir Dogic
M
Margaret L. Gardel
J
Juan Pablo *
V
Vincenzo Vitelli *
DOI:10.1073/pnas.2016708118delete
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Abstract

Abstract

En 中文
Hydrodynamic theories effectively describe many-body systems out of equilibrium in terms of a few macroscopic parameters. However, such parameters are difficult to determine from microscopic information. Seldom is this challenge more apparent than in active matter, where the hydrodynamic parameters are in fact fields that encode the distribution of energy-injecting microscopic components. Here, we use active nematics to demonstrate that neural networks can map out the spatiotemporal variation of multiple hydrodynamic parameters and forecast the chaotic dynamics of these systems. We analyze biofilament/molecular-motor experiments with microtubule/kinesin and actin/myosin complexes as computer vision problems. Our algorithms can determine how activity and elastic moduli change as a function of space and time, as well as adenosine triphosphate (ATP) or motor concentration. The only input needed is the orientation of the biofilaments and not the coupled velocity field which is harder to access in experiments. We can also forecast the evolution of these chaotic many-body systems solely from image sequences of their past using a combination of autoencoders and recurrent neural networks with residual architecture. In realistic experimental setups for which the initial conditions are not perfectly known, our physics-inspired machine-learning algorithms can surpass deterministic simulations. Our study paves the way for artificial-intelligence characterization and control of coupled chaotic fields in diverse physical and biological systems, even in the absence of knowledge of the underlying dynamics.
Keywords:
deep learning
active turbulence
liquid crystals
topological defects
biomaterials

Journal

P
Proceedings of the National Academy of Sciences of the United States of America
IF:
9.1
Papers:
10.8W
Citations:
73.5W

Organization

U
university of chicago
Scholars:
4.5W
Papers: 3.7W
Citations: 80
U
University of California Santa Barbara
Scholars:
1.2W
Papers: 9.6K
Citations: 3.6W
B
Brandeis University
Scholars:
4.0K
Papers: 3.8K
Citations: 5.3K
University of California System cover
University of California System
Scholars:
37.7W
Papers: 33.8W
Citations: 6.6K
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Cited Papers

Cited Papers

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Dynamic structure of active nematic shells
err2016-11-21
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errZhang, Rui; Zhou, Ye; Rahimi, Mohammad; de Pablo, Juan J.
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Mutual information, neural networks and the renormalization group
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errBrunton, Steven L.; Noack, Bernd R.; Koumoutsakos, Petros
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Alterations in acute myeloid leukaemia bone marrow stromal cell exosome content coincide with gains in tyrosine kinase inhibitor resistance
err2015-06-11
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errShelton Viola; Elie Traer; Jianya Huan; Noah I. Hornick; Jeffrey W. Tyner; Anupriya Agarwal; Marc Loriaux; Brian Johnstone; Peter Kurre
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