Analysis of a Population Model Structured by the Cells Molecular Content

Details Analysis of a Population Model Structured by the Cells Molecular Content Analysis of a Population Model Structured by the Cells Molecular Content

2008-10-07

arxiv.org/abs/0810.1174v1

Mathematical Modelling of Natural Phenoma 2, 3 (2007) 121-152

Mathematics

Analysis of PDEs

Scientific paper

10.1051/mmnp:2007006

We study the mathematical properties of a general model of cell division structured with several internal variables. We begin with a simpler and specific model with two variables, we solve the eigenvalue problem with strong or weak assumptions, and deduce from it the long-time convergence. The main difficulty comes from natural degeneracy of birth terms that we overcome with a regularization technique. We then extend the results to the case with several parameters and recall the link between this simplified model and the one presented in \cite{CBBP1}; an application to the non-linear problem is also given, leading to robust subpolynomial growth of the total population.

Affiliated with

Also associated with

No associations

Rating

Analysis of a Population Model Structured by the Cells Molecular Content does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analysis of a Population Model Structured by the Cells Molecular Content, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analysis of a Population Model Structured by the Cells Molecular Content will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557128