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We analyze a multi-type branching process in which cells accumulate mutations whose fitness effects are chosen from a distribution.
ETAS model is a point process model, including the Omori-Utsu law (Utsu, 1961; Utsu et al., 1995) and branching process in which every earthquake has some ability to generate its own aftershocks.
To investigate biological extinction, we use a Galton-Watson branching process in which, at each discrete time interval, every individual generates i discrete offspring with probability p i, and zero offspring with p0.
A 'soft' polytomy represents a binary branching process in which the branching order is unknown.
A birth death model describes a stochastic branching process in which branches can split or disappear in the course of time.
R0 was estimated as the product of the mean number of nominations (n) and the probability of successful nomination (p), assuming a branching process in which each participant of the Ice Bucket Challenge generates a random number of next generation participants.
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More specifically, it consists of a sequential application of two branching processes in which any earthquake can trigger a family of subsequent events on different space-time scales.
In this study we apply the stochastic model proposed by Marzocchi and Lombardi (2008), consisting of a sequential application of two branching processes, in which any earthquake can trigger a family of later events.
Alternatively, an exponentially growing population can be considered in which alterations arise; a useful stochastic process for this scenario is the branching process model in which cells divide in a binary fashion, and the population grows (or declines) on average exponentially.
In particular, we introduced a stochastic branching process model in which an initially declining population can escape certain extinction via the production of mutants whose fitness is drawn at random from a mutational fitness landscape.
The results show the occurrence of a chain branching reaction preceding thermal runaway, which boosts the chain branching process in the flame.
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