Machine-learning solutions for the analysis of single-particle diffusion trajectories

H Seckler, J Szwabinski, R Metzler - The Journal of Physical …, 2023 - ACS Publications
Single-particle traces of the diffusive motion of molecules, cells, or animals are by now
routinely measured, similar to stochastic records of stock prices or weather data …

Heterogeneous anomalous transport in cellular and molecular biology

TA Waigh, N Korabel - Reports on Progress in Physics, 2023 - iopscience.iop.org
It is well established that a wide variety of phenomena in cellular and molecular biology
involve anomalous transport eg the statistics for the motility of cells and molecules are …

Objective comparison of methods to decode anomalous diffusion

G Muñoz-Gil, G Volpe, MA Garcia-March… - Nature …, 2021 - nature.com
Deviations from Brownian motion leading to anomalous diffusion are found in transport
dynamics from quantum physics to life sciences. The characterization of anomalous diffusion …

Bayesian deep learning for error estimation in the analysis of anomalous diffusion

H Seckler, R Metzler - Nature Communications, 2022 - nature.com
Modern single-particle-tracking techniques produce extensive time-series of diffusive motion
in a wide variety of systems, from single-molecule motion in living-cells to movement …

Geometric deep learning reveals the spatiotemporal features of microscopic motion

J Pineda, B Midtvedt, H Bachimanchi, S Noé… - Nature Machine …, 2023 - nature.com
The characterization of dynamical processes in living systems provides important clues for
their mechanistic interpretation and link to biological functions. Owing to recent advances in …

Quantifying postsynaptic receptor dynamics: insights into synaptic function

SA Maynard, J Ranft, A Triller - Nature Reviews Neuroscience, 2023 - nature.com
The molecular composition of presynaptic and postsynaptic neuronal terminals is dynamic,
and yet long-term stabilizations in postsynaptic responses are necessary for synaptic …

Deep learning-based parameter estimation of stochastic differential equations driven by fractional Brownian motions with measurement noise

J Feng, X Wang, Q Liu, Y Li, Y Xu - Communications in Nonlinear Science …, 2023 - Elsevier
This study proposes a general parameter estimation neural network (PENN) to jointly
identify the system parameters and the noise parameters of a stochastic differential equation …

Neural network-based parameter estimation of stochastic differential equations driven by Lévy noise

X Wang, J Feng, Q Liu, Y Li, Y Xu - Physica A: Statistical Mechanics and its …, 2022 - Elsevier
In this paper, a novel parameter estimation method based on a two-stage neural network
(PENN) is proposed to carry out a joint estimation of a parameterized stochastic differential …

Inferring pointwise diffusion properties of single trajectories with deep learning

B Requena, S Masó-Orriols, J Bertran, M Lewenstein… - Biophysical …, 2023 - cell.com
To characterize the mechanisms governing the diffusion of particles in biological scenarios,
it is essential to accurately determine their diffusive properties. To do so, we propose a …

Semantic segmentation of anomalous diffusion using deep convolutional networks

X Qu, Y Hu, W Cai, Y Xu, H Ke, G Zhu, Z Huang - Physical Review Research, 2024 - APS
Heterogeneous dynamics commonly emerges in anomalous diffusion with intermittent
transitions of diffusion states but proves challenging to identify using conventional statistical …