Results 41 to 50 of about 10,767,248 (303)
Strong convergence of an epidemic model with mixing groups [PDF]
, 2023 We consider an SIR (susceptible → infective → recovered) epidemic in a closed population of size n, in which infection spreads via mixing events, comprising individuals chosen uniformly at random from the population, which occur at the points of a ...
Peter Neal +3 more
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Estimating the risk of re-emergence after stopping polio vaccination
Frontiers in Microbiology, 2012 Live vaccination against polio has effectively prevented outbreaks in most developed countries for more than 40 years, and there remain only a few countries where outbreaks of poliomyelitis by the wild strain still threaten the community.
Akira eSasaki +3 more
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The Height of List-tries and TST [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We characterize the asymptotics of heights of the trees of de la Briandais and the ternary search trees (TST) of Bentley and Sedgewick. Our proof is based on a new analysis of the structure of tries that distinguishes the bulk of the tree, called the ...
N. Broutin, L. Devroye
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Transposed Branching Processes
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1954 Summary We shall show in this paper how, in studying the growth-rate of a deterministic branching process, a simple change of viewpoint, which is quite trivial theoretically, may nevertheless lead to surprising computational simplifications; and, in the course of this, we shall indicate a basis on which the generated population can ...
Hammersley, J. M., Morton, K. W.
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A Branching Process for Virus Survival [PDF]
Journal of Applied Probability, 2012 Quasispecies theory predicts that there is a critical mutation probability above which a viral population will go extinct. Above this threshold the virus loses the ability to replicate the best-adapted genotype, leading to a population composed of low replicating mutants that is eventually doomed.
Cox, J. Theodore, Schinazi, Rinaldo B
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The Lung Vasculature: A Driver or Passenger in Lung Branching Morphogenesis?
Frontiers in Cell and Developmental Biology, 2021 Multiple cellular, biochemical, and physical factors converge to coordinate organogenesis. During embryonic development, several organs such as the lung, salivary glands, mammary glands, and kidneys undergo rapid, but intricate, iterative branching. This
Yelda Pakize Kina +3 more
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Branching processes for QuickCheck generators [PDF]
ACM SIGPLAN Notices, 2018 In QuickCheck (or, more generally, random testing), it is challenging to control random data generators' distributions---specially when it comes to user-defined algebraic data types (ADT). In this paper, we adapt results from an area of mathematics known as branching processes, and show how they help to analytically predict (at compile-time) the ...
Agustín Mista +2 more
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The Annals of Mathematical Statistics, 1948 This paper is concerned with a simple mathematical model for a branching stochastic process. Using the language of family trees we may illustrate the process as follows. The probability that a man has exactly $r$ sons is $p_r, r = 0, 1, 2, \cdots$. Each of his sons (who together make up the first generation) has the same probabilities of having a given
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A hybrid Ornstein–Uhlenbeck–Branching framework unifies microbial and pediatric tumor evolution
Frontiers in OncologyIntroductionPediatric tumors can relapse despite low mutation burdens, suggesting hybrid evolutionary dynamics shaped by stochastic variability and stabilizing forces.
Seung-Hwan Kim
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Modeling outbreak data: Analysis of a 2012 Ebola virus disease epidemic in DRC
Biomath, 2019 We describe two approaches to modeling data from a small to moderate-sized epidemic outbreak. The first approach isВ based on a branching process approximation and direct analysis of the transmission network, whereas the second one is based on a survival
Boseung Choi +12 more
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