Extreme behavior of multivariate phase-type distributions [PDF]
This paper investigates the limiting distributions of the componentwise maxima and minima of suitably normalized iid multivariate phase-type random vectors. In the case of maxima, a large parametric class of multivariate extreme value (MEV) distributions
Asimit, A.V., Jones, B.
core +1 more source
Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network
Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
wiley +1 more source
Analysis of an MMAP/PH1, PH2/N/∞ queueing system operating in a random environment
A multi-server queueing system with two types of customers and an infinite buffer operating in a random environment as a model of a contact center is investigated. The arrival flow of customers is described by a marked Markovian arrival process.
Kim Chesoong +3 more
doaj +1 more source
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Solliton-like order parameter distributions in the critical region
Some exact one-component order parameter distributions for the Michelson thermodynamic potential are obtained. The phase transition of second kind in Ginzburg-Landau type model is investigated. The exact partial distribution of the order parameter in the
A.V.Babich +3 more
doaj +1 more source
Order statistics and multivariate discrete phase-type distributions. [PDF]
In this thesis, we present three different topics of research which are related to the theory of phase-type distributions. Those topics are explained next. The first research work is on order statistics from matrix-geometric distributions in the case of a
Campillo Navarro, Azucena
core
Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
wiley +1 more source
Analysis of a queuing system of a single capacity with phase-type distributions and queue updating
In this paper, we study a queuing system with a single-capacity storage device and queue updating. An update is understood as the following mechanism: an application that enters the system and finds another application in the drive destroys it, taking ...
Sergey I. Matyushenko +2 more
doaj +1 more source
Phase-Type Distributions and Majorization
Aldous and Shepp recently proved that the Erlang distribution of a given order is the least variable phase-type distribution of that order, in the sense of minimizing the coefficient of variation. Here we prove that it is also least variable in the sense of majorization.
openaire +2 more sources
The least variable phase type distribution is erlang
Let \((X_ t,t\geq 0)\) be a continuous-time Markov process with state space \(\{\) 0,1,...,n\(\}\) where 0 is an absorbing state, and let \(T_{n0}\) denote the time to reach 0 if \(X_ 0=n\). It is shown that \(var(T_{n0})/(E T_{n0})\) \(2\geq 1/n\) with equality if and only if \((X_ t,t\geq 0)\) is a pure death process with constant death rate.
David, Aldous, Larry, Shepp
openaire +3 more sources

