Applications and implications of the exponentially modified gamma distribution as a model for time variabilities related to cell proliferation and gene expression

Journal of Theoretical Biology
Alexey Golubev

Abstract

A panel of published distributions of cell interdivision times (IDT) comprising 77 datasets related to 16 cell types, some studied under different conditions, was used to evaluate their conformance to the exponentially modified gamma distribution (EMGD) in comparison with distributions suggested for IDT data earlier. Lognormal, gamma, inverse Gaussian, and shifted Weibull and gamma distributions were found to be generally inferior to EMGD. Exponentially modified Gaussian (EMG) performed equally well. Although EMGD or EMG may be worse than some other distributions in specific cases, the reason that IDT distributions must be generated by a common mechanism of the cell cycle makes it unlikely that they differ essentially in different cell types. Therefore, exponentially modified peak functions, such as EMGD or EMG, are most appropriate if the use of a single distribution for IDT data is reasonable. EMGD is also shown to be the best descriptive tool for published data on the distribution of times between the bursts of mRNA synthesis at defined genes in single cells. EMG is inadequate to such data because its Gaussian component markedly extends to the negative time domain. The applicability of EMGD to comparable features of cells an...Continue Reading

References

Apr 1, 1973·Proceedings of the National Academy of Sciences of the United States of America·J A Smith, L Martin
Feb 21, 1982·Journal of Theoretical Biology·S Cooper
Mar 16, 2007·Proceedings of the National Academy of Sciences of the United States of America·E D HawkinsP D Hodgkin
Mar 28, 2008·Nature Cell Biology·Guang YaoLingchong You
Apr 22, 2009·PloS One·Ariel Aharon CohenUri Alon
May 7, 2009·Transgenic Research·Weimin LiPhilipp Kaldis
Jul 28, 2009·Proceedings of the National Academy of Sciences of the United States of America·E D HawkinsP D Hodgkin
Dec 18, 2009·The FEBS Journal·Riaan ConradieJacky L Snoep
Jul 20, 2010·Nature Methods·Sharon YungerYaron Shav-Tal
Jul 21, 2010·Biophysical Journal·Daniel L FloydAntoine M van Oijen
Oct 14, 2010·PloS One·Anton ZilmanAlan S Perelson
Nov 26, 2010·Journal of Experimental Psychology. Human Perception and Performance·Evan M PalmerJeremy M Wolfe
May 3, 2011·PLoS Biology·Claire V HarperMichael R H White
Oct 4, 2011·Current Opinion in Cell Biology·David M SuterUeli Schibler
Jul 17, 2012·Journal of Theoretical Biology·Pierre GabrielGlenn F Webb
Sep 22, 2012·Biophysical Journal·Anne SchwabeFrank J Bruggeman
Apr 10, 2013·Current Opinion in Biotechnology·K A Geiler-SamerotteM L Siegal
Jun 14, 2013·Journal of the Royal Society, Interface·Evgeny B StukalinSean X Sun
Dec 4, 2013·Proceedings of the National Academy of Sciences of the United States of America·Nacho MolinaFélix Naef
Apr 16, 2014·Proceedings of the National Academy of Sciences of the United States of America·Mark R DowlingPhilip D Hodgkin
Jun 17, 2014·Journal of Theoretical Biology·R LeanderV Quaranta
Jul 29, 2015·Molecular Systems Biology·Benjamin ZollerFelix Naef

❮ Previous
Next ❯

Citations

Sep 7, 2017·Antioxidants & Redox Signaling·Alexey GolubevVadim N Gladyshev
Oct 17, 2017·Bulletin of Mathematical Biology·Christian A YatesRichard L Mort
Apr 7, 2019·Molecular Systems Biology·Lendert Gelens, Silvia Dm Santos
Feb 24, 2017·Journal of the Royal Society, Interface·Michael B MayhewAlexander J Hartemink
Sep 2, 2020·Proceedings of the National Academy of Sciences of the United States of America·Lorenzo Duso, Christoph Zechner
Jul 6, 2017·Computational and Mathematical Methods in Medicine·A Golubev
Jul 23, 2019·Mathematical Medicine and Biology : a Journal of the IMA·Tyler Cassidy, Antony R Humphries
Feb 20, 2020·Proceedings of the National Academy of Sciences of the United States of America·Zhixing Cao, Ramon Grima

❮ Previous
Next ❯

Related Concepts

Related Feeds

B cells: Gene Expression

B lymphocytes are white blood cells that play a role in the adaptive immune system by secreting antibodies. Here is the latest research on gene expression in B cells.

Apoptosis

Apoptosis is a specific process that leads to programmed cell death through the activation of an evolutionary conserved intracellular pathway leading to pathognomic cellular changes distinct from cellular necrosis