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Marie Doumic Jauffret

  1. Nonparametric estimation of the division rate of a size-structured population.

    Ср, 03/23/2011 - 16:01 — SomNambul
    Authors: Vincent Rivoirard, Marie Doumic Jauffret, Patricia Reynaud-Bouret, Marc Hoffmann
    Subjects: Statistics
    Abstract

    We consider the problem of estimating the division rate of a size-structured
    population in a nonparametric setting. The size of the system evolves according
    to a transport-fragmentation equation: each individual grows with a given
    transport rate, and splits into two offsprings of the same size, following a
    binary fragmentation process with unknown division rate that depends on its
    size.

  2. Stability Analysis of a Simplified Yet Complete Model for Chronic Myelegenous Leukemia.

    Пт, 09/04/2009 - 12:10 — SomNambul
    Authors: Marie Doumic Jauffret, Peter S. Kim, Benoît Perthame
    Subjects: Analysis of PDEs
    Abstract

    We analyze the asymptotic behavior of a partial differential equation (PDE)
    model for hematopoiesis. This PDE model is derived from the original
    agent-based model formulated by (Roeder et al., Nat. Med., 2006), and it
    describes the progression of blood cell development from the stem cell to the
    terminally differentiated state. To conduct our analysis, we start with the PDE
    model of (Kim et al, JTB, 2007), which coincides very well with the simulation
    results obtained by Roeder et al.

  3. On the Calibration of a Size-Structured Population Model from Experimental Data.

    Чт, 09/03/2009 - 17:38 — SomNambul
    Authors: Marie Doumic Jauffret, Pedro Maia, Jorge P. Zubelli
    Subjects: Numerical Analysis
    Abstract

    The aim of this work is twofold. First, we survey the techniques developed in
    (Perthame, Zubelli, 2007) and (Doumic, Perthame, Zubelli, 2008) to reconstruct
    the division (birth) rate from the cell volume distribution data in certain
    structured population models. Secondly, we implement such techniques on
    experimental cell volume distributions available in the literature so as to
    validate the theoretical and numerical results.

  4. On the Calibration of a Size-Structured Population Model from Experimental Data.

    Чт, 09/03/2009 - 17:38 — SomNambul
    Authors: Marie Doumic Jauffret, Pedro Maia, Jorge P. Zubelli
    Subjects: Numerical Analysis
    Abstract

    The aim of this work is twofold. First, we survey the techniques developed in
    (Perthame, Zubelli, 2007) and (Doumic, Perthame, Zubelli, 2008) to reconstruct
    the division (birth) rate from the cell volume distribution data in certain
    structured population models. Secondly, we implement such techniques on
    experimental cell volume distributions available in the literature so as to
    validate the theoretical and numerical results.

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