Editing Stochastic (section)

==Biology==
In biological systems the technique of [[stochastic resonance]] - introducing stochastic "noise" - has been found to help improve the signal-strength of the internal feedback-loops for balance and other [[vestibular system|vestibular]] communication.<ref>{{Cite journal | doi = 10.1002/1439-7641(20020315)3:3<285::AID-CPHC285>3.0.CO;2-A | title = Stochastic Resonance in Biology How Noise Can Enhance Detection of Weak Signals and Help Improve Biological Information Processing | journal = ChemPhysChem | volume = 3 | issue = 3 | pages = 285–90 | year = 2002 | last1 = Hänggi | first1 = P. | pmid=12503175| url = https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/28997 }}</ref> The technique has helped diabetic and stroke patients with balance control.<ref>{{cite journal | last1 = Priplata | first1 = A. | display-authors = etal  | year = 2006 | title = Noise-Enhanced Balance Control in Patients with Diabetes and Patients with Stroke | url = http://www.bu.edu/abl/files/fulltext.pdf | journal = Ann Neurol | volume = 59 | issue = 1 | pages = 4–12 | doi = 10.1002/ana.20670 | pmid = 16287079 | s2cid = 3140340 }}</ref>

Many biochemical events lend themselves to stochastic analysis. [[Gene expression]], for example, has a stochastic component through the molecular collisions—e.g., during binding and unbinding of [[RNA polymerase]] to a [[gene promoter]] which contributes to bursts of transcription and super-Poissonian variability in cell-to-cell RNA distributions <ref>{{Cite journal |last1=Dar |first1=Roy D. |last2=Razooky |first2=Brandon S. |last3=Singh |first3=Abhyudai |last4=Trimeloni |first4=Thomas V. |last5=McCollum |first5=James M. |last6=Cox |first6=Chris D. |last7=Simpson |first7=Michael L. |last8=Weinberger |first8=Leor S. |date=2012-10-23 |title=Transcriptional burst frequency and burst size are equally modulated across the human genome |journal=Proceedings of the National Academy of Sciences |volume=109 |issue=43 |pages=17454–17459 |doi=10.1073/pnas.1213530109 |doi-access=free |pmc=3491463 |pmid=23064634|bibcode=2012PNAS..10917454D }}</ref>—via the solution's [[Brownian motion]].