Results 61 to 70 of about 1,564,798 (354)

Asymptotic behavior for parabolic equations with interior degeneracy

open access: yesExamples and Counterexamples, 2022
The long time behavior of a class of degenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x)is allowed to vanish in a set of positive measure in the interior of the domain.
María Astudillo   +3 more
doaj   +1 more source

Creeping fronts in degenerate reaction–diffusion systems [PDF]

open access: yesNonlinearity, 2005
We study systems of reaction diffusion type for two species in one space dimension and investigate the dynamics in the case where the second species does not diffuse. We consider competing species with two stable equilibria and front solutions that connect the two stable states. A free energy function determines a preferred state.
Schweizer, Ben, Heinze, S.
openaire   +3 more sources

Vacuolar transport and function of Saccharomyces cerevisiae sterol ester hydrolase Tgl1

open access: yesFEBS Letters, EarlyView.
Tgl1, one of yeast sterol ester hydrolases, had been found on the lipid droplets where sterol esters are mainly stored. This study revealed that Tgl1 is transported into the vacuole depending on the ESCRT‐I–III complex, and that it exhibits intra‐vacuolar sterol ester hydrolase activity.
Takumi Nakatsuji   +5 more
wiley   +1 more source

Stochastic representation of solutions to degenerate elliptic and parabolic boundary value and obstacle problems with Dirichlet boundary conditions

open access: yes, 2013
We prove existence and uniqueness of stochastic representations for solutions to elliptic and parabolic boundary value and obstacle problems associated with a degenerate Markov diffusion process.
Feehan, Paul M. N., Pop, Camelia
core   +1 more source

The anti‐CRISPR protein AcrIE8.1 inhibits the type I‐E CRISPR‐Cas system by directly binding to the Cascade subunit Cas11

open access: yesFEBS Letters, EarlyView.
In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
wiley   +1 more source

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

open access: yesOpen Mathematics, 2017
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
doaj   +1 more source

On the fundamental solution and a variational formulation of a degenerate diffusion of Kolmogorov type [PDF]

open access: yes, 2017
In this paper, we construct the fundamental solution to a degenerate diffusion of Kolmogorov type and develop a time-discrete variational scheme for its adjoint equation.
M. H. Duong, H. M. Tran
semanticscholar   +1 more source

IMPACT OF THE SAME DEGENERATE ADDITIVE NOISE ON A COUPLED SYSTEM OF FRACTIONAL SPACE DIFFUSION EQUATIONS

open access: yesFractals, 2021
In this paper, we present a class of stochastic system of fractional space diffusion equations forced by additive noise. Our goal here is to approximate the solutions of this system via a system of ordinary differential equations.
W. Mohammed, N. Iqbal
semanticscholar   +1 more source

Some Free Boundary Problems involving Nonlocal Diffusion and Aggregation

open access: yes, 2015
We report on recent progress in the study of evolution processes involving degenerate parabolic equations what may exhibit free boundaries. The equations we have selected follow to recent trends in diffusion theory: considering anomalous diffusion with ...
Carrillo, Jose Antonio   +1 more
core   +2 more sources

Structural insights into lacto‐N‐biose I recognition by a family 32 carbohydrate‐binding module from Bifidobacterium bifidum

open access: yesFEBS Letters, EarlyView.
Bifidobacterium bifidum establishes symbiosis with infants by metabolizing lacto‐N‐biose I (LNB) from human milk oligosaccharides (HMOs). The extracellular multidomain enzyme LnbB drives this process, releasing LNB via its catalytic glycoside hydrolase family 20 (GH20) lacto‐N‐biosidase domain.
Xinzhe Zhang   +5 more
wiley   +1 more source

Home - About - Disclaimer - Privacy