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pro vyhledávání: '"Krell, Nathalie"'
Autor:
Krell, Nathalie
We model the growth of a cell population using a piecewise deterministic Markov branching tree. In this model, each cell splits into two offspring at a division rate $B(x)$, which depends on its size $x$. The size of each cell increases exponentially
Externí odkaz:
http://arxiv.org/abs/2409.03317
Autor:
Krell, Nathalie, Schmisser, Emeline
In this paper, we consider a piecewise deterministic Markov process (PDMP), with known flow and deterministic transition measure, and unknown jump rate $\lambda$. To estimate nonparametrically the jump rate, we first construct an adaptive estimator o
Externí odkaz:
http://arxiv.org/abs/1901.10166
We consider a model of interacting neurons where the membrane potentials of the neurons are described by a multidimensional piecewise deterministic Markov process (PDMP) with values in ${\mathbb R}^N, $ where $ N$ is the number of neurons in the netw
Externí odkaz:
http://arxiv.org/abs/1604.07300
The data we analyze derives from the observation of numerous cells of the bacterium Escherichia coli (E. coli) growing and dividing. Single cells grow and divide to give birth to two daughter cells, that in turn grow and divide. Thus, a colony of cel
Externí odkaz:
http://arxiv.org/abs/1509.05226
Autor:
Krell, Nathalie
Le sujet principal de cette thèse de doctorat est l'étude de diverses quantités reliées aux processus de fragmentation. Ces processus sont destinés à modéliser un objet de masse unité se fragmentant au cours du temps.Ce travail comporte quatr
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00293022
http://tel.archives-ouvertes.fr/docs/00/29/30/22/PDF/thesenat.pdf
http://tel.archives-ouvertes.fr/docs/00/29/30/22/PDF/thesenat.pdf
Autor:
Krell, Nathalie
We consider the class of Piecewise Deterministic Markov Processes (PDMP), whose state space is $\R\_{+}^{*}$, that possess an increasing deterministic motion and that shrink deterministically when they jump. Well known examples for this class of proc
Externí odkaz:
http://arxiv.org/abs/1406.2845
Autor:
Azaïs, Romain, Bardet, Jean-Baptiste, Genadot, Alexandre, Krell, Nathalie, Zitt, Pierre-André
We give a short overview of recent results on a specific class of Markov process: the Piecewise Deterministic Markov Processes (PDMPs). We first recall the definition of these processes and give some general results. On more specific cases such as th
Externí odkaz:
http://arxiv.org/abs/1309.6061
We model the growth of a cell population by a piecewise deterministic Markov branching tree. Each cell splits into two offsprings at a division rate $B(x)$ that depends on its size $x$. The size of each cell grows exponentially in time, at a rate tha
Externí odkaz:
http://arxiv.org/abs/1210.3240
We present a first study on the energy required to reduce a unit mass fragment by consecutively using several devices, as it happens in the mining industry. Two devices are considered, which we represent as different stochastic fragmentation processe
Externí odkaz:
http://arxiv.org/abs/1002.3460
Autor:
Krell, Nathalie, Rouault, Alain
The main focus of this work is the asymptotic behavior of mass-conservative homogeneous fragmentations. Considering the logarithm of masses makes the situation reminiscent of branching random walks. The standard approach is to study {\bf asymptotical
Externí odkaz:
http://arxiv.org/abs/0904.1167