1. Inhomogeneous membrane receptor diffusion explained by a fractional heteroscedastic time series model
- Author
-
Hanna Loch-Olszewska, Carlo Manzo, Krzysztof Burnecki, Juan A. Torreno-Pina, Aleksander Weron, Maria F. Garcia-Parajo, and Michał Balcerek
- Subjects
Statistics::Theory ,Heteroscedasticity ,Anomalous diffusion ,Autoregressive conditional heteroskedasticity ,Normal Distribution ,General Physics and Astronomy ,Receptors, Cell Surface ,02 engineering and technology ,010402 general chemistry ,01 natural sciences ,Noise (electronics) ,Models, Biological ,Quantitative Biology::Cell Behavior ,Diffusion ,Statistics::Methodology ,Statistical physics ,Physical and Theoretical Chemistry ,Time series ,Diffusion (business) ,Physics ,Statistics::Applications ,Cell Membrane ,021001 nanoscience & nanotechnology ,0104 chemical sciences ,Autoregressive model ,0210 nano-technology ,Autoregressive fractionally integrated moving average - Abstract
Single particle tracking experiments have recently uncovered that the motion of cell membrane components can undergo changes of diffusivity as a result of the heterogeneous environment, producing subdiffusion and nonergodic behavior. In this paper, we show that an autoregressive fractionally integrated moving average (ARFIMA) with noise given by generalized autoregressive conditional heteroscedasticity (GARCH) can describe inhomogeneous diffusion in the cell membrane, where the ARFIMA process models anomalous diffusion and the GARCH process explains a fluctuating diffusion parameter.
- Published
- 2019