Results 41 to 50 of about 221,531 (271)
Microscopic Dynamics for the Porous Medium Equation [PDF]
, 2011 In this work, I present an interacting particle system whose dynamics conserves the total number of particles but with gradient transition rates that vanish for some configurations. As a consequence, the invariant pieces of the system, namely, the hyperplanes with a fixed number of particles can be decomposed into an irreducible set of configurations ...
openaire +2 more sources
Applications of Computational Modelling and Simulation of Porous Medium in Tissue Engineering
Computation, 2016 In tissue engineering, porous biodegradable scaffolds are used as templates for regenerating required tissues. With the advances in computational tools, many modeling approaches have been considered.
Carrie L. German +1 more
doaj +1 more source
An X–FEM technique for numerical simulation of variable-density flow in fractured porous media
MethodsX, 2023 Solute transport is one of the major topics in geological studies. Fracture is a significant characteristic of natural porous media, where the solute can transport due to its higher density with respect to the density of fluid.
A.R. Khoei +3 more
doaj +1 more source
Continuous and discrete transformations of a one-dimensional porous medium equation
, 1999 We consider the one-dimensional porous medium equation $u_t=\left (u^nu_x \right )_x+\frac{\mu}{x}u^nu_x$. We derive point transformations of a general class that map this equation into itself or into equations of a similar class.
Bluman G.W. +8 more
core +1 more source
Perron's method for the porous medium equation [PDF]
Journal of the European Mathematical Society, 2016 This work extends Perron’s method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.
Lukkari, Teemu +3 more
openaire +4 more sources
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source
COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells
Molecular Oncology, EarlyView.This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos +6 more
wiley +1 more source
Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control
FEBS Open Bio, EarlyView.Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada +5 more
wiley +1 more source
A new contraction family for porous medium and fast diffusion equation [PDF]
, 2014 In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations.
Chmaycem, Ghada +2 more
core +3 more sources
FEBS Open Bio, EarlyView.Cytosolically synthesized chloroplast preproteins are translocated across the outer and inner envelope membranes through translocons called TOC and TIC, respectively. In green algae and plants, the TIC core is composed of essential membrane proteins, Tic12, Tic20, and Tic214.
Mengyi Li, Xueyang Zhao, Masato Nakai
wiley +1 more source