When it comes to information processing within and between biological cells, diffusion plays an important role. However, the pace with which messages are transmitted could be much faster than the messenger molecules move.
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Rein ten Wolde, P., Tănase-Nicola, S. Pass on the message. Nature Phys 2, 371–372 (2006). https://doi.org/10.1038/nphys328
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DOI: https://doi.org/10.1038/nphys328