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The Lung Vasculature: A Driver or Passenger in Lung Branching Morphogenesis?
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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Random ultrametric trees and applications*
Ultrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time.
Lambert Amaury
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Quasi-stationary distributions associated with explosive CSBP
We characterise all the quasi-stationary distributions and the Q-process associated with a continuous state branching process that explodes in finite time.
Labbé, Cyril
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Branching random walks and multi-type contact-processes on the percolation cluster of ${\mathbb{Z}}^{d}$ [PDF]
In this paper we prove that, under the assumption of quasi-transitivity, if a branching random walk on ${{\mathbb{Z}}^d}$ survives locally (at arbitrarily large times there are individuals alive at the origin), then so does the same process when ...
Bertacchi, Daniela, Zucca, Fabio
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Weibull-type limiting distribution for replicative systems
The Weibull function is widely used to describe skew distributions observed in nature. However, the origin of this ubiquity is not always obvious to explain.
Jean-Yves Fortin +5 more
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Lower deviation probabilities for supercritical Markov branching processes with immigration
Let $ \{Z(t); t\geq 0\} $ be a continuous-time supercritical branching process with immigration (MBPI) with the offspring mean $ m(t) $. In this paper, we mainly research the lower deviation probabilities $ {\rm P}(Z(t) = k_t) $ and $ {\rm P}(0\leq Z(t ...
Juan Wang, Chao Peng
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Critical branching processes in a sparse random environment
We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random environment.
Dariusz Buraczewski +3 more
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On subcritical multi-type branching process in random environment [PDF]
We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables.
Elena Dyakonova
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Genealogy of catalytic branching models
We consider catalytic branching populations. They consist of a catalyst population evolving according to a critical binary branching process in continuous time with a constant branching rate and a reactant population with a branching rate proportional to
Greven, Andreas +2 more
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We present a stochastic model of driver mutations in the transition from severe congenital neutropenia to myelodysplastic syndrome to acute myeloid leukemia (AML). The model has the form of a multitype branching process.
Marek eKimmel, Seth eCorey
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