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We examine immunostaining experimental data for the formation of the strip 2of $even-skipped$ ($eve$) transcripts on $D.$ $melanogaster$ embryos. Anestimate of the factor converting immunofluorescence intensity units intomolecular numbers is given. The analysis of the $eve$ mRNA's dynamics at theregion of the stripe 2 suggests that the promoter site of the gene has twodistinct regimes: an earlier phase when it is predominantly activated until acritical time when it becomes mainly repressed. That suggests proposing astochastic binary model for gene transcription on $D.$ $melanogaster$ embryos.Our model has two random variables: the transcripts number and the state of thesource of mRNAs given as active or repressed. We are able to reproduceavailable experimental data for the average number of transcripts. An analysisof the random fluctuations on the number of $eve$ mRNA's and their consequenceson the spatial precision of the stripe 2 is presented. We show that theposition of the anterior/posterior borders fluctuate around their averageposition by $\sim 1 \%$ of the embryo length which is similar to what is foundexperimentally. The fitting of data by such a simple model suggests that it canbe useful to understand the functions of randomness during developmentalprocesses.

A stochastic model for gene transcription on Drosophila melanogaster embryos