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Habilitation à diriger des recherches

Étude de modèles mathématiques issus de la biologie du cycle cellulaire et de la dynamique des protéines

Laurent Pujo-Menjouet 1, 2, 3
1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
ICJ - Institut Camille Jordan [Villeurbanne], Inria Grenoble - Rhône-Alpes, CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire
3 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : Discover, pass-on and disseminate. Here is the program of this manuscript summarizing my associate professor activities since my PhD defence in 2001. Within a little more than 15 years, I have been working on several mathematical models applied to biology reflecting different periods of my curriculum. In chapter 1, I summarize my analytical studies of the cell cycle models applied to blood cell production and disorders leading to related pathologies like leukaemia or anaemia. These models consist essentially of non-linear delayed differential equations arising from the integration of hyperbolic age structured partial differential equations. Chapters 2, 3 and 4 deal with my research work on protein dynamics applied to prion and Alzheimer disease. They have started while I was assistant professor in the USA and keep on being my current centre of interest. Models consist of systems of size structured polymerization-fragmentation partial differential equations coupled with non-linear differential equations. The last chapter is dedicated to my teaching, supervising and disseminating activities. I end it up with a short word on my work in progress.
Document type :
Habilitation à diriger des recherches
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https://hal.inria.fr/tel-01411371
Contributor : Laurent Pujo-Menjouet <>
Submitted on : Wednesday, December 7, 2016 - 2:10:36 PM
Last modification on : Monday, October 19, 2020 - 10:56:07 AM
Long-term archiving on: : Tuesday, March 28, 2017 - 12:35:32 AM

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  • HAL Id : tel-01411371, version 1

Citation

Laurent Pujo-Menjouet. Étude de modèles mathématiques issus de la biologie du cycle cellulaire et de la dynamique des protéines. Systèmes dynamiques [math.DS]. Université Claude Bernard Lyon 1 - Institut Camille Jordan, 2016. ⟨tel-01411371⟩

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