24 citations · 53 across the 10 of their papers we have counts for
12 papers
Stochastic Models of Regulation of Transcription in Biological Cells
Vincent Fromion, Philippe Robert, Jana Zaherddine
In this paper we study an important global regulation mechanism of transcription of biological cells using specific macro-molecules, 6S RNAs. The functional property of 6S RNAs is…
On the Spontaneous Dynamics of Synaptic Weights in Stochastic Models with Pair-Based STDP
Philippe Robert, Gaëtan Vignoud
We investigate spike-timing dependent plasticity (STPD) in the case of a synapse connecting two neural cells. We develop a theoretical analysis of several STDP rules using Markovia…
Stochastic Models of Neural Plasticity: A Scaling Approach
Philippe Robert, Gaetan Vignoud
In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called synapses and represented by a scalar value, the synaptic w…
Stochastic Models of Neural Synaptic Plasticity
Philippe Robert, Gaetan Vignoud
In neuroscience, learning and memory are usually associated to long-term changes of neuronal connectivity. In this context, synaptic plasticity refers to the set of mechanisms driv…
Mathematical Models of Gene Expression
Philippe Robert
In this paper we analyze the equilibrium properties of a large class of stochastic processes describing the fundamental biological process within bacterial cells, {\em the producti…
Models of protein production along the cell cycle: an investigation of possible sources of noise
Renaud Dessalles, Vincent Fromion, Philippe Robert
In this article, we quantitatively study, through stochastic models, the efects of several intracellular phenomena, such as cell volume growth, cell division, gene replication as w…
Asymptotics of Stochastic Protein Assembly Models
Marie Doumic, Sarah Eugene, Philippe Robert
Self-assembly of proteins is a biological phenomenon which gives rise to spontaneous formation of amyloid fibrils or polymers. The starting point of this phase, called nucleation e…
Insights into the variability of nucleated amyloid polymerization by a minimalistic model of stochastic protein assembly
Sarah Eugene, Wei-Feng Xue, Philippe Robert +1
Self-assembly of proteins into amyloid aggregates is an important biological phenomenon associated with human diseases such as Alzheimer's disease. Amyloid fibrils also have potent…
A Stochastic Analysis of Autoregulation of Gene Expression
Renaud Dessalles, Vincent Fromion, Philippe Robert
This paper analyzes, in the context of a prokaryotic cell, the stochastic variability of the number of proteins when there is a control of gene expression by an autoregulation sche…
A stochastic model of the production of multiple proteins in cells
Vincent Fromion, Emanuele Leoncini, Philippe Robert
The production processes of proteins in prokaryotic cells are investigated. Most of the mathematical models in the literature study the production of {\em one} fixed type of protei…
On the dynamics of random neuronal networks
Philippe Robert, Jonathan D. Touboul
We study the mean-field limit and stationary distributions of a pulse-coupled network modeling the dynamics of a large neuronal assemblies. Our model takes into account explicitly…
Stochastic Gene Expression in Cells: A Point Process Approach
Vincent Fromion, Emanuele Leoncini, Philippe Robert
This paper investigates the stochastic fluctuations of the number of copies of a given protein in a cell. This problem has already been addressed in the past and closed-form expres…