ArticleNature communications2018
High-performance reconstruction of microscopic force fields from Brownian trajectories.
Article in Nature communications, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Speckle tweezers near water-oil and water-air interfaces.Biomedical optics express · 2026Article
- Learning stochastic processes with intrinsic noise from cross-sectional biological data.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Solving non-Hermitian physics for optical manipulation on a quantum computer.Light, science & applications · 2025Article
- Photon-efficient optical tweezers via wavefront shaping.Science advances · 2024Article
- Deep learning for optical tweezers.Nanophotonics (Berlin, Germany) · 2024Review
- Shining Light in Mechanobiology: Optical Tweezers, Scissors, and Beyond.ACS photonics · 2024Review
- Non-Hermitian non-equipartition theory for trapped particles.Nature communications · 2024Article
- Learning stochastic dynamics and predicting emergent behavior using transformers.Nature communications · 2024Article
- Optimal calibration of optical tweezers with arbitrary integration time and sampling frequencies: a general framework [Invited].Biomedical optics express · 2023Article
- Sparse inference and active learning of stochastic differential equations from data.Scientific reports · 2022Article
- Inferring potential landscapes from noisy trajectories of particles within an optical feedback trap.iScience · 2022Article
- Learning non-stationary Langevin dynamics from stochastic observations of latent trajectories.Nature communications · 2021Article
- Temperature Effects on Optical Trapping Stability.Micromachines · 2021Review
- Optical manipulation: advances for biophotonics in the 21st century.Journal of biomedical optics · 2021Review
- Enhanced Signal-to-Noise and Fast Calibration of Optical Tweezers Using Single Trapping Events.Micromachines · 2021Article
- Non-equilibrium properties of an active nanoparticle in a harmonic potential.Nature communications · 2021Article
- Using the transient trajectories of an optically levitated nanoparticle to characterize a stochastic Duffing oscillator.Scientific reports · 2020Article
- Optical Tweezers Exploring Neuroscience.Frontiers in bioengineering and biotechnology · 2020Review
- High-performance reconstruction of microscopic force fields from Brownian trajectories.Nature communications · 2018Article
Corrections and comments
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Authors and funding
5 authors.
Funding
Abstract
The accurate measurement of microscopic force fields is crucial in many branches of science and technology, from biophotonics and mechanobiology to microscopy and optomechanics. These forces are often probed by analysing their influence on the motion of Brownian particles. Here we introduce a powerful algorithm for microscopic force reconstruction via maximum-likelihood-estimator analysis (FORMA) to retrieve the force field acting on a Brownian particle from the analysis of its displacements. FORMA estimates accurately the conservative and non-conservative components of the force field with important advantages over established techniques, being parameter-free, requiring ten-fold less data and executing orders-of-magnitude faster. We demonstrate FORMA performance using optical tweezers, showing how, outperforming other available techniques, it can identify and characterise stable and unstable equilibrium points in generic force fields. Thanks to its high performance, FORMA can accelerate the development of microscopic and nanoscopic force transducers for physics, biology and engineering.
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Registered trials
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