Results 41 to 50 of about 4,484 (239)

Invariant measures of the pair: state, approximate filtering process [PDF]

Colloquium Mathematicum, 1991
The paper contains a proof and discussion of a theorem related to a problem in discrete time filtering which may be summarized as follows. The state is a Markov process with an initial law \(\nu\). The filter is then also Markov. It is known that, if the state has a unique invariant measure, then, under certain conditions, the filter has in turn a ...
openaire   +2 more sources

INVARIANT MEASURES OF STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS USING FOURIER APPROXIMATIONS [PDF]

International Journal of Bifurcation and Chaos, 2011
We consider dynamical system τ : [0, 1] → [0, 1] and its stochastic perturbations [Formula: see text], N ≥ 1. Using Fourier approximation, we construct a finite dimensional approximation PN to a perturbed Perron–Frobenius operator. Let [Formula: see text] be an invariant density of τ and [Formula: see text] be a fixed point of PN.
ISLAM, MD SHAFIQUL, GÓRA, PAWEŁ
openaire   +2 more sources

Three phosphatase families form a community: The phosphohydrolases that act upon inositol pyrophosphates

FEBS Letters, EarlyView.
Inositol pyrophosphates are energy‐rich signaling molecules that perform critical functions in cells. Three different families of phosphatases hydrolyze the β phosphate of the inositol pyrophosphate molecules: two have narrow specificities and one is promiscuous.
Ronda J. Rolfes
wiley   +1 more source

High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs

SIAM Journal on Numerical Analysis, 2014
We introduce new sufficient conditions for a numerical method to approximate with high order of accuracy the invariant measure of an ergodic system of stochastic differential equations, independently of the weak order of accuracy of the method. We then present a systematic procedure based on the framework of modified differential equations for the ...
Abdulle, Assyr, Vilmart, Gilles, Zygalakis, Konstantinos C.   +2 more
openaire   +6 more sources

Pharmacological chromatin remodeling enhances response to estrogen therapy in ER+ breast cancer

Molecular Oncology, EarlyView.
Estrogen therapy elicits clinical benefit in ~ 30% of patients with endocrine‐resistant estrogen receptor (ER)‐positive breast cancer. Based on findings that ER transcriptional activation underlies response to estrogen therapy, we tested the effects of epigenetic dysregulation via pharmacological inhibition of histone deacetylases (HDACi).
Anneka L. Johnson Thomas, Barbara Karakyriakou, Patricia C. Muskus, Alyssa M. Roberts, Justin Rendleman, Alexa Warren, Hanxu Lu, Kimberly A. Birmingham, Malone K. Friedman, Abigail E. Goen, Huijuan Yang, Owen M. Wilkins, Fred W. Kolling, Eugene Demidenko, Julie M. Jorns, Brock C. Christensen, Todd W. Miller   +16 more
wiley   +1 more source

An Approximation of the Invariant Measure for the Stochastic Navier-Stokes [PDF]

, 2009
Kolmogorov’s statistical theory of turbulence is based on the existence of the invariant measure of the Navier-Stokes flow. Recently the existence of the invariant measure was established in the three-dimensional case [2]. It was established for uni-directional flow in [1] and for rivers in [3].
openaire   +2 more sources

Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes

FEBS Open Bio, EarlyView.
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard, Emma‐Jayne Proctor, Jiawa Wang, Nikolas P. Johnston, Andrew Hayes, Georgia McCorkell, Haibo Yu, Jai Tree, Mark R. Davies, Mark J. Walker, Ronald Sluyter, Stephan Brouwer, Martina L. Sanderson‐Smith   +12 more
wiley   +1 more source

Structural studies and functional engineering of NanX: an anhydro‐sialic acid transporter from Escherichia coli

FEBS Open Bio, EarlyView.
Biophysical characterisation shows that NanX, a membrane transport protein from the major facilitator superfamily (MFS), forms both monomers and dimers after purification. AlphaFold modelling and substrate docking provide information on residues likely involved in substrate recognition for NanX and another MFS member, NanT.
Michael C. Newton‐Vesty, Kelsi R. Hall, Zachary D. Tillett, Liam S. Turk, James S. Davies, Michael J. Currie, Hamish G. Brown, Sepideh Valimehr, Peter D. Mace, Andrew E. Whitten, Santosh Panjikar, Eric Hanssen, Rachel A. North, Renwick C.J. Dobson   +13 more
wiley   +1 more source

Explicit approximation of the invariant measure for SDDEs with the nonlinear diffusion term

, 2022
Abstract To our knowledge, the existing measure approximation theory requires the diffusion term of the stochastic delay differential equations (SDDEs) to be globally Lipschitz continuous. Our work is to develop a new explicit numerical method for SDDEs with the nonlinear diffusion term and establish the measure approximation theory. Precisely,
Xiaoyue Li, Xuerong Mao, Guoting Song
openaire   +2 more sources

Purification and preparation of Marchantia polymorpha Auxin Response Factor 2 for phase separation studies

FEBS Open Bio, EarlyView.
We describe detailed protocols for the purification and preparation of Marchantia polymorpha Auxin Response Factor 2 (MpARF2). This protein is fused to an MBP solubility tag and an mNG fluorescent tag and is purified from Escherichia coli. The presented procedures make it possible to study MpARF2 assemblies, which could arise from phase separation ...
Bas Janssen, Robin Romein, Willy A. M. van den Berg, Simon Lindhoud, Jan Willem Borst, Carlo P. M. van Mierlo   +5 more
wiley   +1 more source