diffusion models

Development and evaluation of insulin-loaded chitosan nanoparticles incorporated into HPMC/PVA topical film for diabetic wound management

Introduction Chronic diabetic wounds, particularly foot ulcers, exhibit delayed healing due to impaired tissue repair and infection risk. Topical insulin has shown wound-healing benefits, while nanotechnology-based carriers such as chitosan nanoparticles embedded in polymeric films can enable sustained and localized de...

On a reaction-diffusion-advection system modeling flocculation with mortality

In this paper, we are concerned with a diffusive flocculation model in heterogeneous environment. We proved global existence and coexistence of species in the medium. Stability of the washout steady state was shown by analyzing the sign of the principal eigenvalue corresponding to the trivial solution. And, by numerica...

Kinetic modeling and characterization of silicon-free pack boriding on Inconel 738 superalloy using the Taylor expansion model

Abstract Inconel 738 superalloy was treated using a silicon-free pack boriding process with a powder mixture of boron carbide (B4C) and sodium tetrafluoroborate (NaBF4) at 850 °C, 900 °C, and 950 °C for 2 h–8 h. Scanning electron microscopy (SEM) and energy-dispersive X-ray spectroscopy (EDS) analyses confirmed the for...

Internet Diffusion and Ecstasy Diffusion Across Countries: The Moderating Role of National Anxiety Prevalence

The research on the mechanism of risk transmission in new energy vehicle supply chains from the perspective of hypernetworks

Purpose The complex characteristics of the new energy vehicle supply chain – including its multistakeholder nature, high interdependence and group interactions – make it difficult for traditional risk analysis methods to effectively characterize the internal risk propagation processes within it. Design/methodology/appr...

STRATEGIC MANAGEMENT OF THE EDUCATIONAL PROCESS UNDER ARTIFICIAL INTELLIGENCE IMPLEMENTATION: QUALITY EDUCATION, DECENT WORK, AND HUMAN CAPITAL FOR THE TRANSFORMING LABOR MARKET OF KAZAKHSTAN

The accelerated diffusion of generative artificial intelligence in higher education has outpaced the institutional rules that define where machine assistance should end and academic judgement should begin, leaving universities without clear boundaries for substituting for teaching labour and placing the quality educati...

3D-printed polymeric cryogel for tetracycline adsorption

The removal of emerging contaminants from aqueous systems remains a significant environmental challenge. Among the adsorbent materials explored for water treatment, cryogels based on natural polymers have emerged as promising candidates due to their interconnected macroporous structure, enhanced mass-transfer propertie...

Pricing of perpetual American options in diffusion models with progressively enlarged filtrations

We study the problems of pricing of perpetual American options in one-dimensional positive diffusion models of financial markets with progressively enlarged Brownian reference filtrations. It is assumed that the reward processes represent integrals of discounted continuous piecewise-linear functions of the current valu...

Analytical Modeling of Dispersive Closed-loop MC Channels with Pulsatile Flow

Molecular communication (MC) is a communication paradigm in which information is conveyed through the controlled release, propagation, and reception of molecules. Many envisioned healthcare applications of MC are expected to operate inside the human body. In this environment, the cardiovascular system ( CVS) acts as th...

Multiphase Cross-diffusion models for tissue structures: modeling, analysis, numerics

Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The equations include Maxwell–Stefan, tumor-growth, thin-film solar cell models as well as...

Matched Filter-Based Molecule Source Localization in Advection-Diffusion-Driven Pipe Networks with Known Topology

Synthetic molecular communication (MC) has emerged as a powerful framework for modeling, analyzing, and designing communication systems where information is encoded into properties of molecules. Among the envisioned applications of MC is the localization of molecule sources in pipe networks (PNs) like the human cardiov...

Kinetic interacting particle Langevin Monte Carlo

Abstract This paper introduces and analyses interacting underdamped Langevin algorithms, termed Kinetic Interacting Particle Langevin Monte Carlo (KIPLMC) methods, for statistical inference in latent variable models. We propose a diffusion process that evolves jointly in the space of parameters and latent variables and...