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Ch. 18. Biological applications of branching processes

2003
Publisher 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, 1986
In 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, 1970
Yoshisuke Nakano, Chi Tien
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Applications of branching processes to cancer evolution and initiation

2018
There 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, 2021
Changxi Wang, Elsayed A Elsayed
exaly  

Asymptotic Behavior of Critical Primitive Multi-Type Branching Processes with Immigration

Stochastic Analysis and Applications, 2014
Marton Ispany, Gyula Pap
exaly  

Relative frequencies in multitype branching processes

Annals of Applied Probability, 2009
Nikolay M Yanev
exaly  

Functional limit theorems for multitype branching processes and generalized Pólya urns

Stochastic Processes and Their Applications, 2004
Svante Janson
exaly  

Limiting Distributions for Multitype Branching Processes

Stochastic Analysis and Applications, 2010
Nikolay M Yanev
exaly  

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