Cancer recurrence times from a branching process model. [PDF]
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]
Classical 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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Characterizing Information Propagation in Social Media with Branching Processes [PDF]
Information propagation in social media has attracted the wide attention of scholars, with great progress made in empirical and modeling studies.
Xiaofang Luo, Haibo Hu, Qingsong Sun
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Genotype By Environment Interaction in Shoot Branching [PDF]
Plant development is highly plastic, allowing plants to adapt to constant changes in environmental conditions. An excellent example of developmental plasticity is shoot branching.
George, Gilu
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Genotype-Specific Measles Transmissibility: A Branching Process Analysis. [PDF]
Ackley SF +6 more
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Applications of the Delay Stochastic Simulation Algorithm (DSSA) in Mathematical Epidemiology
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
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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A Generalized Age-Dependent Branching Process and Its Limit Distribution [PDF]
An age-dependent continuous parameter branching stochastic process Xₙ(t) is considered, where Xₙ (t) is the number of particles in the population at time t and N is the initial size of the population. If the probabilities of splits depend on N.
I. Shimi
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Immortal branching processes [PDF]
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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Modelling the impact of travel restrictions on COVID-19 cases in Newfoundland and Labrador
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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