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- Title
MATHEMATICAL ANALYSIS OF CYCLE LENGTH-AGE STRUCTURED CELL POPULATION WITH AGGREGATE TRANSITION RULE: ASYNCHRONOUS GROWTH PROPERTY.
- Authors
BOULANOUAR, MOHAMED
- Abstract
This work is a continuation of [1] in which we have analyzed a mathematical model of a structured cell population. Each cell is distinguished by its cycle length and by its age. The daughter cells are correlated to the whole cell population thanks to the Aggregate Transition Rule. We investigate then the asymptotic behavior of the generated semigroup which allows us to get the Asynchronous Growth Property of the whole cell population.
- Subjects
MATHEMATICAL analysis; CELL populations; AGGREGATED data; SEMIGROUP algebras; MATHEMATICAL models
- Publication
Advances in Mathematical Sciences & Applications, 2021, Vol 30, Issue 1, p155
- ISSN
1343-4373
- Publication type
Article