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Asymptotic genealogy of a critical branching process [PDF]
, 2005 Consider a continuous-time binary branching process conditioned to have population size n at some time t, and with a chance p for recording each extinct individual in the process.
Popovic, Lea
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Cancer recurrence times from a branching process model. [PDF]
PLoS Computational Biology, 2019 As cancer advances, cells often spread from the primary tumor to other parts of the body and form metastases. This is the main cause of cancer related mortality.
Stefano Avanzini, Tibor Antal
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The multiple birth properties of multi-type Markov branching processes [PDF]
Boundary Value ProblemsThe main purpose of this paper is to consider the multiple birth properties for multi-type Markov branching processes. We first construct a new multi-dimensional Markov process based on the multi-type Markov branching process, which can reveal the ...
Junping Li, Wanting Zhang
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The Branching Process: A General Conceptual Framework for Addressing Current Ecological and Evolutionary Questions [PDF]
LifeClassical branching-process theory, developed by Galton and Watson in the nineteenth century and later refined by Fisher and Haldane, provides the formal framework for quantifying the fate of new mutants, new viral and bacterial pathogens, new ...
Xuhua Xia
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Branch mode selection during early lung development. [PDF]
PLoS Computational Biology, 2012 Many organs of higher organisms, such as the vascular system, lung, kidney, pancreas, liver and glands, are heavily branched structures. The branching process during lung development has been studied in great detail and is remarkably stereotyped.
Denis Menshykau +2 more
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Immortal branching processes [PDF]
Physica A: Statistical Mechanics and its Applications, 2021 We introduce and study the dynamics of an \emph{immortal} critical branching process. In the classic, critical branching process, particles give birth to a single offspring or die at the same rates. Even though the average population is constant in time, the ultimate fate of the population is extinction.
Krapivsky, P. L., Redner, S.
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Applications of the Delay Stochastic Simulation Algorithm (DSSA) in Mathematical Epidemiology
Mathematics, 2022 The calculation of the probability of a minor outbreak is crucial in analyzing a stochastic epidemic model. For stochastic epidemic models with fixed delays, the linear chain trick is applied to transform the delayed models into a family of ODE models ...
Fan Bai
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Modelling the impact of travel restrictions on COVID-19 cases in Newfoundland and Labrador
Royal Society Open Science, 2021 In many jurisdictions, public health authorities have implemented travel restrictions to reduce coronavirus disease 2019 (COVID-19) spread. Policies that restrict travel within countries have been implemented, but the impact of these restrictions is not ...
Amy Hurford +2 more
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SimuBP: A Simulator of Population Dynamics and Mutations Based on Branching Processes
Axioms, 2023 Originating from the Luria–Delbrück experiment in 1943, fluctuation analysis (FA) has been well developed to demonstrate random mutagenesis in microbial cell populations and infer mutation rates.
Xiaowei Wu
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Mathematical Biosciences and Engineering, 2022 The basic reproduction number, $ R_0 $, plays a central role in measuring the transmissibility of an infectious disease, and it thus acts as the fundamental index for planning control strategies.
Minami Ueda +2 more
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