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- José Eduardo Martinho Hornos, Daniel W. Schultz, +4 authors Peter G. Wolynes
- Physical review. E, Statistical, nonlinear, and…
- 2005

An exact steady-state solution of the stochastic equations governing the behavior of a gene regulated by a self-generated proteomic atmosphere is presented. The solutions depend on an adiabaticity… (More)

- Alexandre F. Ramos, Guilherme da Costa Pereira Innocentini, José Eduardo Martinho Hornos
- Physical review. E, Statistical, nonlinear, and…
- 2011

The exact time-dependent solution for the stochastic equations governing the behavior of a binary self-regulating gene is presented. Using the generating function technique to rephrase the master… (More)

- Guilherme da Costa Pereira Innocentini, José Eduardo Martinho Hornos
- Journal of mathematical biology
- 2007

Intrinsic transcriptional noise induced by operator fluctuations is investigated with a simple spin-like stochastic model. The effects of transcriptional fluctuations in protein synthesis are probed… (More)

- Guilherme da Costa Pereira Innocentini, Michael Forger, Alexandre F. Ramos, Ovidiu Radulescu, José Eduardo Martinho Hornos
- Bulletin of mathematical biology
- 2013

We consider a general class of mathematical models for stochastic gene expression where the transcription rate is allowed to depend on a promoter state variable that can take an arbitrary (finite)… (More)

- Ovidiu Radulescu, Guilherme da Costa Pereira Innocentini, José Eduardo Martinho Hornos
- Physical review. E, Statistical, nonlinear, and…
- 2012

Fluctuation-dissipation theorems can be used to predict characteristics of noise from characteristics of the macroscopic response of a system. In the case of gene networks, feedback control… (More)

- Guilherme da Costa Pereira Innocentini, Sarah Guiziou, Jerome Bonnet, Ovidiu Radulescu
- Physical review. E
- 2016

We propose and solve analytically a stochastic model for the dynamics of a binary biological switch, defined as a DNA unit with two mutually exclusive configurations, each one triggering the… (More)

- Guilherme da Costa Pereira Innocentini, Alexandre F. Ramos, José Eduardo Martinho Hornos
- The Journal of chemical physics
- 2015

X iv :1 30 2. 51 28 v1 [ qbi o. SC ] 2 0 Fe b 20 13 Comment on “Steady-state fluctuations of a genetic feedback loop: an exact solution” [J. Chem. Phys. 137, 035104 (2012).] Guilherme C.P.… (More)

- Alexandre F. Ramos, Guilherme da Costa Pereira Innocentini, F M Forger, José Eduardo Martinho Hornos
- IET systems biology
- 2010

Mathematical models, as instruments for understanding the workings of nature, are a traditional tool of physics, but they also play an ever increasing role in biology--in the description of… (More)

- Guilherme da Costa Pereira Innocentini, Michael Forger, Ovidiu Radulescu, Fernando Antoneli
- Bulletin of mathematical biology
- 2016

In this manuscript, we propose a mathematical framework to couple transcription and translation in which mRNA production is described by a set of master equations, while the dynamics of protein… (More)

We propose an analytic solution for the stochastic dynamics of a binary biological switch, defined as a DNA unit with two mutually exclusive configurations, each one triggering the expression of a… (More)