Bastien Mallein.

Source: Brazilian Journal of Probability and Statistics, Volume 33, Number 2, 356--373.

Abstract:
Consider a supercritical branching random walk on the real line. The consistent maximal displacement is the smallest of the distances between the trajectories followed by individuals at the $n$th generation and the boundary of the process. Fang and Zeitouni, and Faraud, Hu and Shi proved that under some integrability conditions, the consistent maximal displacement grows almost surely at rate $lambda^{*}n^{1/3}$ for some explicit constant $lambda^{*}$. We obtain here a necessary and sufficient condition for this asymptotic behaviour to hold.

Jason Xu, Samson Koelle, Peter Guttorp, Chuanfeng Wu, Cynthia Dunbar, Janis L. Abkowitz, Vladimir N. Minin.

Source: The Annals of Applied Statistics, Volume 13, Number 4, 2091--2119.

Abstract:
Single-cell lineage tracking strategies enabled by recent experimental technologies have produced significant insights into cell fate decisions, but lack the quantitative framework necessary for rigorous statistical analysis of mechanistic models describing cell division and differentiation. In this paper, we develop such a framework with corresponding moment-based parameter estimation techniques for continuous-time, multi-type branching processes. Such processes provide a probabilistic model of how cells divide and differentiate, and we apply our method to study hematopoiesis , the mechanism of blood cell production. We derive closed-form expressions for higher moments in a general class of such models. These analytical results allow us to efficiently estimate parameters of much richer statistical models of hematopoiesis than those used in previous statistical studies. To our knowledge, the method provides the first rate inference procedure for fitting such models to time series data generated from cellular barcoding experiments. After validating the methodology in simulation studies, we apply our estimator to hematopoietic lineage tracking data from rhesus macaques. Our analysis provides a more complete understanding of cell fate decisions during hematopoiesis in nonhuman primates, which may be more relevant to human biology and clinical strategies than previous findings from murine studies. For example, in addition to previously estimated hematopoietic stem cell self-renewal rate, we are able to estimate fate decision probabilities and to compare structurally distinct models of hematopoiesis using cross validation. These estimates of fate decision probabilities and our model selection results should help biologists compare competing hypotheses about how progenitor cells differentiate. The methodology is transferrable to a large class of stochastic compartmental and multi-type branching models, commonly used in studies of cancer progression, epidemiology and many other fields.

Pasha Tkachov.

Source: Bernoulli, Volume 26, Number 2, 1354--1380.

Abstract:
The aim of this paper is to prove stability of traveling waves for integro-differential equations connected with branching Markov processes. In other words, the limiting law of the left-most particle of a (time-continuous) branching Markov process with a Lévy non-branching part is demonstrated. The key idea is to approximate the branching Markov process by a branching random walk and apply the result of Aïdékon [ Ann. Probab. 41 (2013) 1362–1426] on the limiting law of the latter one.

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Perhaps the fictional Hogwarts founder would have appreciated the honor

Segway-Ninebot hopes the new vehicles will appeal to urban dwellers. Pricing and launch dates have yet to be announced, but expect more details at CES next month.

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The first 20 minutes of a business owner's work day may determine the success or failure of the business, says a franchise expert

Georgetown --

Location: US 113 Northbound/Southbound at Wood Branch Road, Georgetown.

Dates and Times: 6:30 a.m. until 6:30 p.m., Weekdays

Monday, March 30, 2020 until Thursday, April 9, 2020, pending weather.

Traffic Information: DelDOT announces to motorists to anticipate daytime lane closures on US 113 for paving of the southbound turn-lane at Wood Branch Road. [More]

Ellendale --

The Department of Transportation (DelDOT) announces that their contractor will be replacing the deteriorating corrugated metal pipes with reinforced concrete pipes.

7:00 a.m. on Monday, May 4, 2020 until 5:00 p.m. on Friday, June 5, 2020, pending weather

Maple Branch Road (Culvert over Maple Marsh and Beaver Dam Branch) between West Robbins Road and Redden Road.

Detour Routes:

West Robbins Road Southbound: Motorists will continue onto West Robbins Road and turn right onto Redden Road and turn right to return to Maple Branch Road. [More]

DOVER – The Delaware Department of Natural Resources and Environmental Control recently acquired 41 acres of land adjacent to the Fork Branch Nature Preserve in Dover. The property includes agricultural fields, wetlands and young forest, and adds to the only nature preserve within a municipal boundary in Delaware. The new acquisition is located at the […]

IPL’s official broadcaster Star India is staring at big losses after the BCCI on Friday suspended the start of the tournament’s 13th edition this year from March 29 to April 15 in the wake of the COVID-19 pandemic.

Crime Branch : ક્યાંક ગાડીઓ ની ચોરી તો ક્યાંક અપહરણ, તો ક્યાંક ફેસબૂક પાર કોઈ છેતરાયું

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Crime Branch: કોણે આપી સરપ્રાઈઝ ? કોણે આપી ધમકી ?

Crime Branch: ભત્રીજો બન્યો સગા કાકા માટે યમરાજ, ઘરકંકાસ એટલી હદે વધ્યો કે...

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Freehold Properties 250 Ltd v Field [2020] EWHC 792 (Ch) The tenants of terraced and semi-detached houses on an estate, demised under a long lease that excluded certain structural parts had no right to acquire the freehold title as they were not "a ...

Enfranchisement of long leasehold buildings in commercial use may have become a real possibility as a result of a recent decision by the House of Lords. The Leasehold Reform Act 1967 gives long leasehold tenants the right to buy the freehold of the...

The Supreme Court’s decision in Zurich Insurance PLC UK Branch v International Energy Group Limited provides some clarity to the position of Clubs who face long-tail work related illness claims where multiple employers or insurers were involve...

Background The Competition and Markets Authority (“CMA”) has recently published draft guidance on its approach to assessing rail franchise awards under its merger control powers (the “Draft Guidance”)1. The guidance has been ...