Separation rates for the detection of synchronization of interacting point processes in a mean field frame. Application to neuroscience

Autor: Tchouanti, Josué, Löcherbach, Éva, Reynaud-Bouret, Patricia, Tanré, Etienne

We develop and study a statistical test to detect synchrony in spike trains. Our test is based on the number of coincidences between two trains of spikes. The data are supplied in the form of \(n\) pairs (assumed to be independent) of spike trains. T

Externí odkaz: http://arxiv.org/abs/2402.01919

Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic Models

Autor: Graham, Carl, Harmand, Jérôme, Méléard, Sylvie, Tchouanti, Josué

We revisit the modeling of the diauxic growth of a pure microorganism on two distinct sugars which was first described by Monod. Most available models are deterministic and make the assumption that all cells of the microbial ecosystem behave homogene

Externí odkaz: http://arxiv.org/abs/2005.08861

Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat.

Autor: Tchouanti, Josué

Publikováno v: Stochastic Partial Differential Equations: Analysis & Computations; Mar2024, Vol. 12 Issue 1, p466-524, 59p

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Bacterial metabolic heterogeneity: from stochastic to deterministic models.

Autor: Graham C; CMAP, CNRS, École Polytechnique, IP Paris, 91128 Palaiseau, France.; Inria Saclay Île-de-France, France., Harmand J; LBE, INRAE, Universite de Montpellier, LBE, 11100, Narbonne, France., Méléard S; CMAP, CNRS, École Polytechnique, IP Paris, 91128 Palaiseau, France.; Institut Universitaire de France, France., Tchouanti J; CMAP, CNRS, École Polytechnique, IP Paris, 91128 Palaiseau, France.

Publikováno v: Mathematical biosciences and engineering : MBE [Math Biosci Eng] 2020 Jul 29; Vol. 17 (5), pp. 5120-5133.