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Ch. 18. Biological applications of branching processes
2003Publisher Summary Branching process models occur in an amazing variety of applications. It certainly embraces modeling involving branching process structures designed to further genuine understanding in a scientific situation of interest. It also admits the analysis of mathematical models constructed from a putative real situation, but which may be ...
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A criterion of convergence of measure‐valued processes: application to measure branching processes
Stochastics, 1986In this paper martingale properties of a Measure Branching process are investigated. Uniqueness and continuity of this process are proven by a martingale approach. For the existence, we approximate the measure branching process by a sequence of infinite particle branching diffusion processes, and show the convergence in distribution by a new criterion ...
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Application of Branching Process for Liquid Atomixation
Industrial & Engineering Chemistry Fundamentals, 1970Yoshisuke Nakano, Chi Tien
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Applications of branching processes to cancer evolution and initiation
2018There is a growing appreciation for the insight mathematical models can yield on biological systems. In particular, due to the challenges inherent in experimental observation of disease progression, models describing the genesis, growth and evolution of cancer have been developed. Many of these models possess the common feature that one particular type
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Stochastic modeling of degradation branching processes
IISE Transactions, 2021Changxi Wang, Elsayed A Elsayed
exaly
Asymptotic Behavior of Critical Primitive Multi-Type Branching Processes with Immigration
Stochastic Analysis and Applications, 2014Marton Ispany, Gyula Pap
exaly
Relative frequencies in multitype branching processes
Annals of Applied Probability, 2009Nikolay M Yanev
exaly
Functional limit theorems for multitype branching processes and generalized Pólya urns
Stochastic Processes and Their Applications, 2004Svante Janson
exaly
Limiting Distributions for Multitype Branching Processes
Stochastic Analysis and Applications, 2010Nikolay M Yanev
exaly

