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Bursting on a two state stochastic model for gene transcription in Drosophila embryos

Romain Yvinec, Luiz Guilherme S. da Silva, Guilherme N. Prata, John Reinitz, Alexandre Ferreira Ramos
doi: https://doi.org/10.1101/107979
Romain Yvinec
1Physiologie de la Reproduction et des Comportements, Institut National de la Recherche Agronomique (INRA) UMR85, CNRS-Université François-Rabelais UMR7247, IFCE, Nouzilly, 37380 France
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Luiz Guilherme S. da Silva
2Escola de Artes, Ciências e Humanidades & Núcleo de Estudos Interdisciplinares em Sistemas Complexos, Universidade de São Paulo, Av. Arlindo Béttio, 1000 CEP 03828-000, São Paulo, SP, Brazil
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Guilherme N. Prata
2Escola de Artes, Ciências e Humanidades & Núcleo de Estudos Interdisciplinares em Sistemas Complexos, Universidade de São Paulo, Av. Arlindo Béttio, 1000 CEP 03828-000, São Paulo, SP, Brazil
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John Reinitz
3Department of Statistics, Department of Ecology and Evolution, Department of Molecular Genetics and Cell Biology, University of Chicago 5734 S. University Avenue Eckhart 134 Chicago, IL 60637, USA and
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Alexandre Ferreira Ramos
2Escola de Artes, Ciências e Humanidades & Núcleo de Estudos Interdisciplinares em Sistemas Complexos, Universidade de São Paulo, Av. Arlindo Béttio, 1000 CEP 03828-000, São Paulo, SP, Brazil
4Departamento de Radiologia – Faculdade de Medicina, Universidade de São Paulo & Instituto do Câncer do Estado de São Paulo, São Paulo, SP CEP 05403-911
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Abstract

Recent experimental data on the transcription dynamics of eve gene stripe two formation of Drosophila melanogaster embryos occurs in bursts of multiple sizes and durations. That has motivated the proposition of a transcription model having multiple ON states for the promoter of the eve gene each of them characterized by different synthesis rate. To understand the role of multiple ON states on gene transcription we approach the exact solutions for a two state stochastic model for gene transcription in D. melanogaster embryos and derive its bursting limit. Simulations based on the Gillespie algorithm at the bursting limit show the occurrence of bursts of multiple sizes and durations. Based on our theoretical approach, we interpret the aforementioned experimental data as a demonstration of the intrinsic stochasticity of the transcriptional processes in fruit fly embryos. Then, we conceive the experimental arrangement to determine when gene transcription has multiple ON promoter state in a noisy environment.

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Posted February 13, 2017.
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Bursting on a two state stochastic model for gene transcription in Drosophila embryos
Romain Yvinec, Luiz Guilherme S. da Silva, Guilherme N. Prata, John Reinitz, Alexandre Ferreira Ramos
bioRxiv 107979; doi: https://doi.org/10.1101/107979
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Bursting on a two state stochastic model for gene transcription in Drosophila embryos
Romain Yvinec, Luiz Guilherme S. da Silva, Guilherme N. Prata, John Reinitz, Alexandre Ferreira Ramos
bioRxiv 107979; doi: https://doi.org/10.1101/107979

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