STOCHASTIC COMPARTMENTAL-MODELS WITH PRENDVILLE GROWTH MECHANISMS

Authors
PARTHASARATHY PR KUMAR BK
Citation
Pr. Parthasarathy et Bk. Kumar, STOCHASTIC COMPARTMENTAL-MODELS WITH PRENDVILLE GROWTH MECHANISMS, Mathematical biosciences, 125(1), 1995, pp. 51-60
Citations number
13
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Mathematics, Miscellaneous","Biology Miscellaneous
Journal title
Mathematical biosciences → ACNP
ISSN journal
00255564
Volume
125
Issue
1
Year of publication
1995
Pages
51 - 60
Database
ISI
SICI code
0025-5564(1995)125:1<51:SCWPGM>2.0.ZU;2-S
Abstract
We consider a stochastic compartmental model in which cells reproduce in accordance with a regulated birth and death process. We find expres sions for the mean Vector and covariance matrix for the number of cell s in these compartments. We obtain the asymptotic behavior of the mean vector in the general case and explicit expressions for two compartme ntal and mammillary systems.