Proceedings of the National Academy of Sciences · 2013 · 375 citations · 44 references
Life SciencesBiophysicsCell BiologyCell BiophysicsCytoskeletonIntracellular TransportCell TrackingCytoskeleton DynamicsIntracellular TraffickingSingle-particle TrackingStochastic Processes In BiophysicsTransport In CellsAnomalous DiffusionBiphasic Insulin SecretionCell State AnalysisFractional Brownian MotionGranule Secretion KineticsIntracellular DiffusionRandom Walk ModelsStatistical Testing
We quantitatively analyzed particle tracking data on insulin granules expressing fluorescent fusion proteins in MIN6 cells to better understand the motions contributing to intracellular transport and, more generally, the means for characterizing systems far from equilibrium. Care was taken to ensure that the statistics reflected intrinsic features of the individual granules rather than details of the measurement and overall cell state. We find anomalous diffusion. Interpreting such data conventionally requires assuming that a process is either ergodic with particles working against fluctuating obstacles (fractional brownian motion) or nonergodic with a broad distribution of dwell times for traps (continuous-time random walk). However, we find that statistical tests based on these two models give conflicting results. We resolve this issue by introducing a subordinated scheme in which particles in cages with random dwell times undergo correlated motions owing to interactions with a fluctuating environment. We relate this picture to the underlying microtubule structure by imaging in the presence of vinblastine. Our results provide a simple physical picture for how diverse pools of insulin granules and, in turn, biphasic secretion could arise.
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Shlomo Havlin, Daniel ben‐Avraham · Advances In Physics · 1987 · 1.8K citations
Nonlinear generalized Langevin equations
Robert Zwanzig · Journal of Statistical Physics · 1973 · 1.4K citations