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Published March 20, 2023 | Submitted
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The telegraph process is not a subordinator

Abstract

Investigations of transcriptional models by Amrhein et al. outline a strategy for connecting steady-state distributions to process dynamics. We clarify its limitations: the strategy holds for a very narrow class of processes, which excludes an example given by the authors.

Additional Information

The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license. G.G. and L.P. were partially funded by NIH U19MH114830. The Huang et al. Poisson-Beta solution was implemented in Python by Dr. John J. Vastola, who contributed valuable insights in our broader investigation of continuous and discrete master equations. CODE AVAILABILITY. The Python notebook used to generate Figure 1 is available at https://github.com/pachterlab/GP_2023. The authors have declared no competing interest.

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Additional details

Created:
August 20, 2023
Modified:
December 13, 2023