Strong Anisotropy of 3D Diffusion in Living Cells

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Starting from the never-ending agitated dance of pollen grains firstly discovered by Robert Brown in 1828, Brownian motion was known to represent the randomly diffusive movement of small particles in a simple solvent.Entering the twentieth century, milestone theories proposed by Albert Einstein,[1] Marian Smoluchowski,[2] and Paul Langevin[3] attributed Brownian motion to the irregular thermal movements of liquid molecules, bridging the gap between the macro-scale particle motion and the microscale molecule fluctuations.In their pioneering works, the particle random displacements exhibit a Gaussian probability distribution with the mean square displacement (MSD) increasing linearly in time.Further experimental verification was shortly achieved by Perrin in 1909.[4] Since then, the research on diffusion is unbroken both in experiment and theory, ranging from lifeless colloidal or polymeric solutions, to living biological systems.[5,6]
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