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Modeling stochastic gene expression: From Markov to non-Markov models.
Zhang ZQ, Liang J, Wang ZH, Zhang JJ, Zhou TS. Zhang ZQ, et al. Math Biosci Eng. 2020 Aug 10;17(5):5304-5325. doi: 10.3934/mbe.2020287. Math Biosci Eng. 2020. PMID: 33120554 Free article.
In recent years, many mechanistic models of stochastic gene expression have been developed to forecast fluctuations in mRNA or protein levels. Here we discus commonalities between these models as well as their extensions from Markov to …
In recent years, many mechanistic models of stochastic gene expression have been developed to forecast fluctuati …
Stem Cell Differentiation as a Non-Markov Stochastic Process.
Stumpf PS, Smith RCG, Lenz M, Schuppert A, Müller FJ, Babtie A, Chan TE, Stumpf MPH, Please CP, Howison SD, Arai F, MacArthur BD. Stumpf PS, et al. Cell Syst. 2017 Sep 27;5(3):268-282.e7. doi: 10.1016/j.cels.2017.08.009. Cell Syst. 2017. PMID: 28957659 Free PMC article.
However, analysis of the rate at which cells enter and exit these observed cell states using a hidden Markov model indicates the presence of a chain of unobserved molecular states that each cell transits through stochastically in sequence. ...We suggest a sta …
However, analysis of the rate at which cells enter and exit these observed cell states using a hidden Markov model indicates t …
Analysis of a non-Markov transcription model with nuclear RNA export and RNA nuclear retention.
Deng Q, Chen A, Qiu H, Zhou T. Deng Q, et al. Math Biosci Eng. 2022 Jun 9;19(8):8426-8451. doi: 10.3934/mbe.2022392. Math Biosci Eng. 2022. PMID: 35801472 Free article.
This raises an unsolved issue: how does molecular memory affect stochastic transcription in the case that NRE and RNR are simultaneously considered? To address this issue, we analyze a non-Markov model, which considers multistep activation, multistep N …
This raises an unsolved issue: how does molecular memory affect stochastic transcription in the case that NRE and RNR are simultaneou …