A new criterion for the global stability of simultaneous cell replication and maturation processes

Authors
Mackey, MC Rudnicki, R
Citation
Mc. Mackey et R. Rudnicki, A new criterion for the global stability of simultaneous cell replication and maturation processes, J MATH BIOL, 38(3), 1999, pp. 195-219
Citations number
55
Categorie Soggetti
Multidisciplinary
Journal title
JOURNAL OF MATHEMATICAL BIOLOGY
ISSN journal
03036812 → ACNP
Volume
38
Issue
3
Year of publication
1999
Pages
195 - 219
Database
ISI
SICI code
0303-6812(199903)38:3<195:ANCFTG>2.0.ZU;2-A
Abstract
We analyze a population model of cells that are capable of simultaneous and independent proliferation and maturation. This model is described by a fir st order partial differential equation with a time delay and a retardation of the maturation variable, both due to cell replication. We provide a gene ral criterion for global stability in such equations.