ArticleBiometrics2010
Saddlepoint approximations to the moments of multitype age-dependent branching processes, with applications.
Article in Biometrics, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- Probabilistic modeling of cell cycle dynamics in response to cell cycle targeting chemotherapy drugs to guide treatment strategies.PLoS computational biology · 2025Article
- A comprehensive review of computational cell cycle models in guiding cancer treatment strategies.NPJ systems biology and applications · 2024Review
- A branching stochastic evolutionary model of the B-cell repertoire.Journal of mathematical biology · 2024Article
- Predicting colorectal cancer risk from adenoma detection via a two-type branching process model.PLoS computational biology · 2020Article
- Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration.Journal of applied probability · 2017Article
- Significance evaluation in factor graphs.BMC bioinformatics · 2017Article
- Stochastic modeling of stress erythropoiesis using a two-type age-dependent branching process with immigration.Journal of mathematical biology · 2015Article
- Quantifying T lymphocyte turnover.Journal of theoretical biology · 2013Article
- Asymptotic behavior of cell populations described by two-type reducible age-dependent branching processes with non-homogeneous immigration().Mathematical population studies · 2012Article
- Quasi- and pseudo-maximum likelihood estimators for discretely observed continuous-time Markov branching processes.Journal of statistical planning and inference · 2011Article
- Calculations for multi-type age-dependent binary branching processes.Journal of mathematical biology · 2011Article
- A composite likelihood approach to the analysis of longitudinal clonal data on multitype cellular systems under an age-dependent branching process.Biostatistics (Oxford, England) · 2011Article
- Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Poisson Immigration.Comptes rendus de l'Academie Bulgare des sciences : sciences mathematiques et naturelles · 2011Article
- Two-Type Age-Dependent Branching Processes with Inhomogeneous Immigration as Models of Renewing Cell Populations.Pliska. Pliiska · 2011Article
- Mathematical and experimental approaches to identify and predict the effects of chemotherapy on neuroglial precursors.Cancer research · 2010Article
- An age-dependent branching process model for the analysis of CFSE-labeling experiments.Biology direct · 2010Article
- Modeling Cell Kinetics using Branching Processes with Non-Homogeneous Poisson Immigration.Comptes rendus de l'Academie Bulgare des sciences : sciences mathematiques et naturelles · 2010Article
- A test of homogeneity for age-dependent branching processes with immigration.Electronic journal of statisticsArticle
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
This article proposes saddlepoint approximations to the expectation and variance-covariance function of multitype age-dependent branching processes. The proposed approximations are found accurate, easy to implement, and much faster to compute than by simulating the process. Multiple applications are presented, including the analyses of clonal data on the generation of oligodendrocytes from their immediate progenitor cells, and on the proliferation of Hela cells. New estimators are also constructed to analyze clonal data. The proposed methods are finally used to approximate the distribution of the generation, which has recently found several applications in cell biology.
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Registered trials
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