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. 2017 Feb 16;7:42765. doi: 10.1038/srep42765

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Copyright © 2017, The Author(s)

This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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The Erlang distribution is used herein to describe the cell-to-cell variability in the time spent by SHIV-infected cells in the eclipse and virus-producing phases. As the Erlang shape parameter (n_E or n_I in MM (1), for the eclipse and virus-producing phases, respectively) is increased, the distribution of the phase duration shifts from an exponential (n = 1), to a fat-tailed (), to a normal (), to a Dirac delta () distribution. In these graphs, the mean time spent by cells in the phase (τ_E or τ_I in MM (1), respectively) is fixed (set to 12 h, chosen arbitrarily) as the shape parameter (n_E or n_I) is varied. (Left) Probability density (y-axis) that a cell spend x hours in the (eclipse or infectious) phase. (Right) Fraction of cells (y-axis) which will remain in the phase for at least x hours.

Inline graphic — The Erlang distribution is used herein to describe the cell-to-cell variability in the time spent by SHIV-infected cells in the eclipse and virus-producing phases. As the Erlang shape parameter (n_E or n_I in MM (1), for the eclipse and virus-producing phases, respectively) is increased, the distribution of the phase duration shifts from an exponential (n = 1), to a fat-tailed (), to a normal (), to a Dirac delta () distribution. In these graphs, the mean time spent by cells in the phase (τ_E or τ_I in MM (1), respectively) is fixed (set to 12 h, chosen arbitrarily) as the shape parameter (n_E or n_I) is varied. (Left) Probability density (y-axis) that a cell spend x hours in the (eclipse or infectious) phase. (Right) Fraction of cells (y-axis) which will remain in the phase for at least x hours.