Mathematical Models for Dynamics of Molecular Processes in Living Biological Cells. A Single Particle Tracking Approach
Mathematical Models for Dynamics of Molecular Processes in Living Biological Cells. A Single Particle Tracking Approach
Abstract In this survey paper we present a systematic methodology of how to identify origins of fractional dynamics. We consider three models leading to it, namely fractional Brownian motion (FBM), fractional Lévy stable motion (FLSM) and autoregressive fractionally integrated moving average (ARFIMA) process. The discrete-time ARFIMA process is stationary, and …