Search Results - "Jauffret, Marie Doumic"
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1
Label structured cell proliferation models
Published in Applied mathematics letters (01-12-2010)“…We present a general class of cell population models that can be used to track the proliferation of cells which have been labeled with a fluorescent dye. The…”
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2
Self-similarity in a General Aggregation-Fragmentation Problem ; Application to Fitness Analysis
Published 21-02-2013“…Journal de Math\'ematiques Pures et Appliqu\'ees, 2012, 98 (1), pp.1-27 We consider the linear growth and fragmentation equation with general coefficients…”
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3
Self-similarity in a general aggregation–fragmentation problem. Application to fitness analysis
Published in Journal de mathématiques pures et appliquées (01-07-2012)“…We consider the linear growth and fragmentation equation:∂∂tu(x,t)+∂∂x(τ(x)u)+β(x)u=2∫x∞β(y)κ(x,y)u(y,t)dy, with general coefficients τ, β and κ. Under…”
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4
Analysis of a Population Model Structured by the Cells Molecular Content
Published 07-10-2008“…Mathematical Modelling of Natural Phenoma 2, 3 (2007) 121-152 We study the mathematical properties of a general model of cell division structured with several…”
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NONPARAMETRIC ESTIMATION OF THE DIVISION RATE OF A SIZE-STRUCTURED POPULATION
Published in SIAM journal on numerical analysis (01-01-2012)“…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…”
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6
Estimating the division rate for the growth-fragmentation equation
Published in Journal of mathematical biology (01-07-2013)“…Growth-fragmentation equations arise in many different contexts, ranging from cell division, protein polymerization, neurosciences etc. Direct observation of…”
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7
A General Inverse Problem for the Growth-Fragmentation Equation
Published 21-10-2011“…Journal of Mathematical Biology (2012) 1 The growth-fragmentation equation arises in many different contexts, ranging from cell division, protein…”
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8
Nonparametric estimation of the division rate of a size-structured population
Published 22-03-2011“…SIAM Journal on Numerical Analysis 50, 2 (2012) 925--950 We consider the problem of estimating the division rate of a size-structured population in a…”
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9
Stability Analysis of a Simplified Yet Complete Model for Chronic Myelogenous Leukemia
Published in Bulletin of mathematical biology (01-10-2010)“…We analyze the asymptotic behavior of a partial differential equation (PDE) model for hematopoiesis. This PDE model is derived from the original agent-based…”
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10
Stability Analysis of a Simplified Yet Complete Model for Chronic Myelegenous Leukemia
Published 03-09-2009“…Bulletin of Mathematical Biology 72, 7 (2010) 1732-1759 We analyze the asymptotic behavior of a partial differential equation (PDE) model for hematopoiesis…”
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11
On the Calibration of a Size-Structured Population Model from Experimental Data
Published 02-09-2009“…Acta Biotheoretica 58, 4 (2010) 405-413 The aim of this work is twofold. First, we survey the techniques developed in (Perthame, Zubelli, 2007) and (Doumic,…”
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12
Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics
Published 08-10-2008“…Inverse Problems 25, 4 (2009) 045008 We consider a size-structured model for cell division and address the question of determining the division (birth) rate…”
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13
Scaling limits for a population model with growth, division and cross-diffusion
Published 17-10-2024“…Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial…”
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14
Stability Analysis of a Simplified Yet Complete Model for Chronic Myelegenous Leukemia
Published in Bulletin of mathematical biology (01-10-2010)“…We analyze the asymptotic behavior of a partial differential equation (PDE) model for hematopoiesis. This PDE model is derived from the original agent-based…”
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15
On the Calibration of a Size-Structured Population Model from Experimental Data
Published in Acta biotheoretica (01-12-2010)“…The aim of this work is twofold. First, we survey the techniques developed in Perthame and Zubelli (Inverse Probl 23(3):1037–1052, 2007 ), Doumic et al…”
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16
Eigenelements of a General Aggregation-Fragmentation Model
Published 21-02-2013“…Mathematical Models and Methods in Applied Sciences, 2010, 20 (5), pp.757-783 We consider a linear integro-differential equation which arises to describe both…”
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17
Boundary Value Problem for an Oblique Paraxial Model of Light Propagation
Published 06-11-2008“…Methods and Applications of Analysis 16, 1 (2009) 119-138 We study the Schr\"odinger equation which comes from the paraxial approximation of the Helmholtz…”
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18
Insights into the variability of nucleated amyloid polymerization by a minimalistic model of stochastic protein assembly
Published 14-10-2015“…Self-assembly of proteins into amyloid aggregates is an important biological phenomenon associated with human diseases such as Alzheimer's disease. Amyloid…”
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