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The mean-squared displacement (MSD) of molecules in this regime increases linearly with time. Here we show that non-random motion of DNA molecules in this regime that is undetectable by the MSD analysis can be quantified by characterizing the molecular motion relative to a latticed frame of reference. Our lattice occupancy analysis reveals unexpected sub-modes of motion of DNA that deviate from expected random motion in the linear, diffusive regime. We demonstrate that a subtle interplay between these sub-modes causes the overall diffusive motion of DNA to appear to conform to the linear regime. Our results show that apparently random motion of macromolecules could be governed by non-random dynamics that are detectable only by their relative motion. Our analytical approach should advance broad understanding of diffusion processes of fundamental relevance.<\/jats:p>","DOI":"10.1038\/ncomms15675","type":"journal-article","created":{"date-parts":[[2017,6,6]],"date-time":"2017-06-06T13:57:23Z","timestamp":1496757443000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Conserved linear dynamics of single-molecule Brownian motion"],"prefix":"10.1038","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6153-1089","authenticated-orcid":false,"given":"Maged F.","family":"Serag","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6663-2807","authenticated-orcid":false,"given":"Satoshi","family":"Habuchi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2017,6,6]]},"reference":[{"key":"BFncomms15675_CR1","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1002\/andp.19053220806","volume":"17","author":"A Einstein","year":"1905","unstructured":"Einstein, A. 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