2013
DOI: 10.1063/1.4850530
|View full text |Cite
|
Sign up to set email alerts
|

Bacterial bioluminescence and Gumbel statistics: From quorum sensing to correlation

Abstract: We show that, in particular experimental conditions, the time course of the radiant fluxes, measured from a bioluminescent emission of a Vibrio harveyi related strain, collapse after suitable rescaling onto the Gumbel distribution of extreme value theory. We argue that the activation times of the strain luminous emission follow the universal behavior described by this statistical law, in spite of the fact that no extremal process is known to occur.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
24
0

Year Published

2015
2015
2017
2017

Publication Types

Select...
3

Relationship

1
2

Authors

Journals

citations
Cited by 3 publications
(24 citation statements)
references
References 32 publications
0
24
0
Order By: Relevance
“…The same experimental data were observed to follow the extreme value Gumbel statistics [ 30 ]. However, the connection between this kind of statistical distribution and bioluminescence activation was hypothetical, and the Gumbel distribution parameters used to fit the data had no clear interpretation.…”
Section: Introductionmentioning
confidence: 84%
See 4 more Smart Citations
“…The same experimental data were observed to follow the extreme value Gumbel statistics [ 30 ]. However, the connection between this kind of statistical distribution and bioluminescence activation was hypothetical, and the Gumbel distribution parameters used to fit the data had no clear interpretation.…”
Section: Introductionmentioning
confidence: 84%
“…In describing bacteria as point-like sources, the transport time of AI through the bacterial membrane (approx. 20 s [ 51 ]) can be safely neglected, compared to the time interval between consecutive measurements of photon emission used in the experiments, 300 and 600 s [ 30 ].…”
Section: A Simplified Model For Bioluminescence Onset and Quenchingmentioning
confidence: 99%
See 3 more Smart Citations