13 citations · 18 across the 5 of their papers we have counts for
6 papers
Push-forward method for piecewise deterministic biochemical simulations
Guilherme C. P. Innocentini, Arran Hodgkinson, Fernando Antoneli +2
A biochemical network can be simulated by a set of ordinary differential equations (ODE) under well stirred reactor conditions, for large numbers of molecules, and frequent reactio…
Effective computational methods for hybrid stochastic gene networks
Guilherme C. P. Innocentini, Fernando Antoneli, Arran Hodgkinson +1
At the scale of the individual cell, protein production is a stochastic process with multiple time scales, combining quick and slow random steps with discontinuous and smooth varia…
Time-inhomogeneous random Markov chains
G. C. P. Innocentini, M. Novaes
We consider Markov chains with random transition probabilities which, moreover, fluctuate randomly with time. We describe such a system by a product of stochastic matrices, $U(t)=M…
Protein synthesis driven by dynamical stochastic transcription
Guilherme C. P. Innocentini, Michael Forger, Ovidiu Radulescu +1
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…
Comment on "Steady-state fluctuations of a genetic feedback loop: an exact solution" [J. Chem. Phys. {\bf 137}, 035104 (2012).]
Guilherme C. P. Innocentini, Alexandre F. Ramos, José Eduardo M. Hornos
The comment is intended to answer the criticism presented on `Steady-state fluctuations of a genetic feedback loop: an exact solution' [J. Chem. Phys. {\bf 137}, 035104 (2012).] an…
Modeling stochastic gene expression under repression
Guilherme da C. P. Innocentini, Jose E. M. Hornos
Intrinsic transcriptional noise induced by operator fluctuations is investigated with a simple spin like stochastic model. The effects of transcriptional fluctuations in protein sy…