33 citations · 101 across the 19 of their papers we have counts for
7 papers · 1 filter
Exponential transform of quadratic functional and multiplicative ergodicity of a Gauss-Markov process
Marina Kleptsyna, Alain Le Breton, Bernard Ycart
The Laplace transform of partial sums of the square of a non-centered Gauss-Markov process, conditioning on its starting point, is explicitly computed. The parameters of multiplica…
Simulation of Gene Regulatory Networks
Bernard Ycart, Frédéric Pont, Jean-Jacques Fournié
This limited review is intended as an introduction to the fast growing subject of mathematical modelling of cell metabolism and its biochemical pathways, and more precisely on path…
Some mathematical tools for the Lenski experiment
Bernard Ycart, Agnès Hamon, Joël Gaffé +1
The Lenski experiment is a long term daily reproduction of Escherichia coli, that has evidenced phenotypic and genetic evolutions along the years. Some mathematical models, that co…
Bounds for left and right window cutoffs
Javiera Barrera, Bernard Ycart
The location and width of the time window in which a sequence of processes converges to equilibrum are given under conditions of exponential convergence. The location depends on th…
Statistical data mining for symbol associations in genomic databases
Bernard Ycart, Frédéric Pont, Jean-Jacques Fournié
A methodology is proposed to automatically detect significant symbol associations in genomic databases. A new statistical test is proposed to assess the significance of a group of…
Exponential growth of bifurcating processes with ancestral dependence
Sana Louhichi, Bernard Ycart
Branching processes are classical growth models in cell kinetics. In their construction, it is usually assumed that cell lifetimes are independent random variables, which has been…