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Updated: Aug 9, 2026

Analysis of LINE-1 Retrotransposition at the Single Nucleus Level
Published on: April 23, 2016
A stochastic model of gene transcription: an application to L1 retrotransposition events
Grzegorz A Rempala1, Kenneth S Ramos, Ted Kalbfleisch
1Department of Mathematics, University of Louisville, Louisville, KY 40292, USA. g.rempala@louisville.edu
Abstract:
A simplified mathematical model of gene transcription is presented based on a system of coupled chemical reactions and a corresponding set of stochastic equations similar to those used in enzyme kinetics theory. The quasi-stationary distribution for the model is derived and its usefulness illustrated with an example of model parameters estimation using sparse time course data on L1 retrotransposon expression kinetics. The issue of model validation is also discussed and a simple validation procedure for the estimated model is devised. The procedure compares model predicted values with the laboratory data via the standard Bayesian techniques with the help of modern Markov-Chain Monte-Carlo methodology.
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