Jorge P. Zubelli
A Structured Population Model of Cell Differentiation.
Mon, 12/06/2010 - 16:01 — SomNambulAuthors: Jorge P. Zubelli, Marie Doumic, Anna Marciniak-Czochra, Benoit Perthame
Subjects: Analysis of PDEs
AbstractWe introduce and analyze several aspects of a new model for cell
differentiation. It assumes that differentiation of progenitor cells is a
continuous process. From the mathematical point of view, it is based on partial
differential equations of transport type. Specifically, it consists of a
structured population equation with a nonlinear feedback loop. This models the
signaling process due to cytokines, which regulate the differentiation and
proliferation process.On the Calibration of a Size-Structured Population Model from Experimental Data.
Thu, 09/03/2009 - 17:38 — SomNambulAuthors: Marie Doumic Jauffret, Pedro Maia, Jorge P. Zubelli
Subjects: Numerical Analysis
AbstractThe 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.On the Calibration of a Size-Structured Population Model from Experimental Data.
Thu, 09/03/2009 - 17:38 — SomNambulAuthors: Marie Doumic Jauffret, Pedro Maia, Jorge P. Zubelli
Subjects: Numerical Analysis
AbstractThe 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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