Literature DB >> 23729973

Modeling Cell Kinetics using Branching Processes with Non-Homogeneous Poisson Immigration.

Ollivier Hyrien1, Nikolay M Yanev.   

Abstract

Age-dependent branching processes with non-homogeneous Poisson immigration are proposed as models of cell proliferation kinetics. The asymptotic behaviour of the first and second-order moments is investigated and the obtained results are use to develop a relevant statistical inference.

Entities:  

Keywords:  branching processes; cell kinetics; non-homogeneous Poisson immigration; statistical inference

Year:  2010        PMID： 23729973      PMCID： PMC3666344     

Source DB:  PubMed          Journal:  C R Acad Bulg Sci


  6 in total

1.  Estimation problems associated with stochastic modeling of proliferation and differentiation of O-2A progenitor cells in vitro.

Authors:  A Zorin; M Mayer-Proschel; M Noble; A Y Yakovlev
Journal:  Math Biosci       Date:  2000-10       Impact factor: 2.144

2.  Estimating the life-span of oligodendrocytes from clonal data on their development in cell culture.

Authors:  Ollivier Hyrien; Margot Mayer-Pröschel; Mark Noble; Andrei Yakovlev
Journal:  Math Biosci       Date:  2005-01-22       Impact factor: 2.144

3.  A stochastic model to analyze clonal data on multi-type cell populations.

Authors:  Ollivier Hyrien; Margot Mayer-Pröschel; Mark Noble; Andrei Yakovlev
Journal:  Biometrics       Date:  2005-03       Impact factor: 2.571

4.  Branching stochastic processes with immigration in analysis of renewing cell populations.

Authors:  Andrei Yakovlev; Nikolai Yanev
Journal:  Math Biosci       Date:  2006-06-14       Impact factor: 2.144

5.  Quantitative insight into proliferation and differentiation of oligodendrocyte type 2 astrocyte progenitor cells in vitro.

Authors:  A Y Yakovlev; K Boucher; M Mayer-Proschel; M Noble
Journal:  Proc Natl Acad Sci U S A       Date:  1998-11-24       Impact factor: 11.205

6.  Inference for an age-dependent, multitype branching-process model of mast cells.

Authors:  J Nedelman; H Downs; P Pharr
Journal:  J Math Biol       Date:  1987       Impact factor: 2.259
  6 in total
  2 in total

1.  Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Poisson Immigration.

Authors:  Ollivier Hyrien; Nikolay M Yanev
Journal:  C R Acad Bulg Sci       Date:  2011

2.  Two-Type Age-Dependent Branching Processes with Inhomogeneous Immigration as Models of Renewing Cell Populations.

Authors:  Ollivier Hyrien; Nikolay M Yanev
Journal:  Pliska       Date:  2011
  2 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.