Detection of cellular aging in a Galton-Watson ...
Document type :
Article dans une revue scientifique: Article original
Title :
Detection of cellular aging in a Galton-Watson process
Author(s) :
Delmas, Jean-François [Auteur]
Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique [CERMICS]
Marsalle, Laurence [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique [CERMICS]
Marsalle, Laurence [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Journal title :
Stochastic Processes and their Applications
Pages :
2495-2519
Publisher :
Elsevier
Publication date :
2010-12
ISSN :
0304-4149
English keyword(s) :
Aging
Galton-Watson process
bifurcating Markov process
stable convergence
Galton-Watson process
bifurcating Markov process
stable convergence
HAL domain(s) :
Mathématiques [math]/Probabilités [math.PR]
English abstract : [en]
We consider the bifurcating Markov chain model introduced by Guyon to detect cellular aging from cell lineage. To take into account the possibility for a cell to die, we use an underlying Galton-Watson process to describe ...
Show more >We consider the bifurcating Markov chain model introduced by Guyon to detect cellular aging from cell lineage. To take into account the possibility for a cell to die, we use an underlying Galton-Watson process to describe the evolution of the cell lineage. We give in this more general framework a weak law of large number, an invariance principle and thus fluctuation results for the average over one generation or up to one generation. We also prove the fluctuations over each generation are independent. Then we present the natural modifications of the tests given by Guyon in cellular aging detection within the particular case of the auto-regressive model.Show less >
Show more >We consider the bifurcating Markov chain model introduced by Guyon to detect cellular aging from cell lineage. To take into account the possibility for a cell to die, we use an underlying Galton-Watson process to describe the evolution of the cell lineage. We give in this more general framework a weak law of large number, an invariance principle and thus fluctuation results for the average over one generation or up to one generation. We also prove the fluctuations over each generation are independent. Then we present the natural modifications of the tests given by Guyon in cellular aging detection within the particular case of the auto-regressive model.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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