title: Stochastic compartmental models with Prendville growth mechanisms.
abstract: We consider a stochastic compartmental model in which cells reproduce in accordance with a regulated birth and death process. We find expressions for the mean vector and covariance matrix for the number of cells in these compartments. We obtain the asymptotic behavior of the mean vector in the general case and explicit expressions for two compartmental and mammillary systems.
authors.affiliation: Department of Mathematics, Indian Institute of Technology, Madras.
authors.forename: P R
authors.initials: PR
authors.lastname: Parthasarathy
authors.forename: B K
authors.initials: BK
authors.lastname: Kumar
mesh_terms: D000818:Animals; D017209:Apoptosis; D002452:Cell Count; D002455:Cell Division; D006410:Hematopoiesis; D006801:Humans; D016015:Logistic Models; D008954:Models, Biological; D013269:Stochastic Processes