title: Maximum likelihood estimations of force and mobility from single short Brownian trajectories.
abstract: We describe a method to extract force and diffusion parameters from single trajectories of Brownian particles. The analysis, based on the principle of maximum likelihood, is well-suited for out-of-equilibrium trajectories, even when a limited amount of data is available and the dynamical parameters vary spatially. We substantiate this method with experimental and simulated data, and discuss its practical implementation, strengths, and limitations.
authors.affiliation: Department of Applied Physics, Yale University, New Haven, CT 06520, USA.
authors.forename: Raphael
authors.initials: R
authors.lastname: Sarfati
authors.affiliation: Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79409, USA.
authors.forename: Jerzy
authors.initials: J
authors.lastname: Bławzdziewicz
authors.affiliation: Department of Materials, ETH Zürich, 8092 Zürich, Switzerland. ericd@ethz.ch.
authors.forename: Eric R
authors.identifier: http://orcid.org/0000-0002-3091-5039
authors.initials: ER
authors.lastname: Dufresne