Results 61 to 70 of about 1,240,454 (293)
Analysis of a reaction-diffusion system of ƛ -w type [PDF]
The author studies two coupled reaction-diffusion equations of 'ƛ - w' type, on an open, bounded, convex domain Ω C R(^d) (d ≤ 3), with a boundary of class C(^2), and homogeneous Neumann boundary conditions.
Garvie, Marcus Roland
core
Investigating transcription factor dynamics in health and disease using FRAP
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Numerical analysis for the controlled degenerate chemotaxis model
The control of chemotactic systems is a critical challenge in applied mathematics, with direct implications for biomedical applications such as cancer therapy.
Sarah Serhal +3 more
doaj +1 more source
The uniqueness of a nonlinear diffusion equation related to the p-Laplacian
Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usual evolutionary p-Laplacian equation, the equation is degenerate on the boundary due to the fact that the diffusion coefficient is dependent on the distance ...
Huashui Zhan
doaj +1 more source
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source
We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the Dirichlet-Neumann mixed boundary value problem.
Bin Wu
doaj +2 more sources
Structure‐forward targeting of claudins with synthetic binders
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley +1 more source
Cube-based diffusion algorithm [PDF]
We study molecular diffusion in (linear) nanopores with different types of roughness in the so-called Knudsen regime. Knudsen diffusion represents the limiting case of molecular diffusion in pores, where mutual encounters of the molecules within the free
Kärger, Jörg +3 more
core +1 more source
Viscosity solutions to degenerate diffusion problems
This paper concerns the weak solutions to a Cauchy problem in $R^N$ for a degenerate nonlinear parabolic equation. We obtain the Holder regularity of the weak solutions to this problem.
Zu-Chi Chen, Yan-Yan Zhao
doaj

