scholarly journals The frog model on non-amenable trees

2020 ◽  
Vol 25 (0) ◽  
Author(s):  
Marcus Michelen ◽  
Josh Rosenberg
Keyword(s):  
Frog Model

scholarly journals The shape theorem for the frog model

2002 ◽  
Vol 12 (2) ◽  
pp. 533-546 ◽  
Author(s):  
O. S. M. Alves ◽  
F. P. Machado ◽  
S. Yu. Popov
Keyword(s):  
Frog Model ◽  
Shape Theorem

scholarly journals Recurrence for the frog model with drift on $\mathbb{Z}^d$

2014 ◽  
Vol 19 (0) ◽  
Author(s):  
Christian Döbler ◽  
Lorenz Pfeifroth
Keyword(s):  
Frog Model

scholarly journals Stochastic orders and the frog model

2018 ◽  
Vol 54 (2) ◽  
pp. 1013-1030 ◽  
Author(s):  
Tobias Johnson ◽  
Matthew Junge
Keyword(s):  
Stochastic Orders ◽  
Frog Model

scholarly journals Asymptotic behavior of the Brownian frog model

2018 ◽  
Vol 23 (0) ◽  
Author(s):  
Erin Beckman ◽  
Emily Dinan ◽  
Rick Durrett ◽  
Ran Huo ◽  
Matthew Junge
Keyword(s):  
Asymptotic Behavior ◽  
Frog Model

scholarly journals DLG5 variants are associated with multiple congenital anomalies including ciliopathy phenotypes

2020 ◽  
pp. jmedgenet-2019-106805
Author(s):  
Jonathan Marquez ◽  
Nina Mann ◽  
Kathya Arana ◽  
Engin Deniz ◽  
Weizhen Ji ◽  
...  
Keyword(s):  
Kidney Tissue ◽  
Multiple Organ ◽  
Cystic Kidney ◽  
Loss Of Function ◽  
Craniofacial Malformations ◽  
Cystic Kidneys ◽  
Organ Systems ◽  
Discs Large ◽  
Frog Model ◽  
Shed Light

BackgroundCilia are dynamic cellular extensions that generate and sense signals to orchestrate proper development and tissue homeostasis. They rely on the underlying polarisation of cells to participate in signalling. Cilia dysfunction is a well-known cause of several diseases that affect multiple organ systems including the kidneys, brain, heart, respiratory tract, skeleton and retina.MethodsAmong individuals from four unrelated families, we identified variants in discs large 5 (DLG5) that manifested in a variety of pathologies. In our proband, we also examined patient tissues. We depleted dlg5 in Xenopus tropicalis frog embryos to generate a loss-of-function model. Finally, we tested the pathogenicity of DLG5 patient variants through rescue experiments in the frog model.ResultsPatients with variants of DLG5 were found to have a variety of phenotypes including cystic kidneys, nephrotic syndrome, hydrocephalus, limb abnormalities, congenital heart disease and craniofacial malformations. We also observed a loss of cilia in cystic kidney tissue of our proband. Knockdown of dlg5 in Xenopus embryos recapitulated many of these phenotypes and resulted in a loss of cilia in multiple tissues. Unlike introduction of wildtype DLG5 in frog embryos depleted of dlg5, introduction of DLG5 patient variants was largely ineffective in restoring proper ciliation and tissue morphology in the kidney and brain suggesting that the variants were indeed detrimental to function.ConclusionThese findings in both patient tissues and Xenopus shed light on how mutations in DLG5 may lead to tissue-specific manifestations of disease. DLG5 is essential for cilia and many of the patient phenotypes are in the ciliopathy spectrum.

scholarly journals Deviation bounds for the first passage time in the frog model

2019 ◽  
Vol 51 (01) ◽  
pp. 184-208 ◽  
Author(s):  
Naoki Kubota
Keyword(s):  
Random Walks ◽  
Large Deviation ◽  
First Passage Time ◽  
Passage Time ◽  
The Other ◽  
Active Particle ◽  
First Passage ◽  
Cubic Lattice ◽  
Concentration Bounds ◽  
Frog Model

AbstractWe consider the so-called frog model with random initial configurations. The dynamics of this model are described as follows. Some particles are randomly assigned to any site of the multidimensional cubic lattice. Initially, only particles at the origin are active and these independently perform simple random walks. The other particles are sleeping and do not move at first. When sleeping particles are hit by an active particle, they become active and start moving in a similar fashion. The aim of this paper is to derive large deviation and concentration bounds for the first passage time at which an active particle reaches a target site.

A Frog Model of Geographic Speciation

1986 ◽  
Vol 48 (1) ◽  
pp. 17-19 ◽  
Author(s):  
Alan R. P. Journet
Keyword(s):  
Frog Model
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