A hybrid Ornstein–Uhlenbeck–Branching framework unifies microbial and pediatric tumor evolution [PDF]
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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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 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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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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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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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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Period-Life of a Branching Process with Migration and Continuous Time
Mathematics, 2021 The homogeneous branching process with migration and continuous time is considered. We investigated the distribution of the period-life τ, i.e., the length of the time interval between the moment when the process is initiated by a positive number of ...
Khrystyna Prysyazhnyk +3 more
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A Predator–Prey Two-Sex Branching Process
Mathematics, 2020 In this paper, we present the first stochastic process to describe the interaction of predator and prey populations with sexual reproduction. Specifically, we introduce a two-type two-sex controlled branching model.
Cristina Gutiérrez, Carmen Minuesa
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Analysis of Discrete-Time Queues with Branching Arrivals
Mathematics, 2023 We consider a discrete-time single server queueing system, where arrivals stem from a multi-type Galton–Watson branching process with migration. This branching-type arrival process exhibits intricate correlation, and the performance of the corresponding ...
Dieter Fiems, Koen De Turck
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CALCULATION OF WEIGHT COEFFICIENTS IN CONTINUOUS PARTICLE FILTER
Научный вестник МГТУ ГА, 2018 This article shows the relationship between filters based on modeling of the random process paths with terminating and branching and a continuous particle filter that are related to sequential Monte Carlo methods.
K. A. Rybakov
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