diffusion models

Transport phenomena in polymeric nanoparticle drug delivery systems: linking soft-matter design to biological performance

The proposed Transport–Soft Matter Coupling Framework (TSMCF) offers a mechanistic basis for the design of clinically translatable soft nanomedicines by linking polymer-network mechanics, transport phenomena, and translational performance.

Unravelling the mechanisms of cyanobacterial resilience in photosynthetic living materials

Abstract Background Photosynthetic cyanobacteria entrapped in artificial solid matrices, such as alginate hydrogels, can sustain active photosynthesis and bio-production of chemicals for months, yet the cellular adaptations underlying this remarkable resilience remain poorly understood. Results Here, we compared the ph...

Resonant Quantum Hydrodynamics of Solid-State Topochemical Reactions in Constrained Nanocrystalline Lattices: A Convergent Field-Theoretic Framework

We formulate a continuum and field-theoretic paradigm in which solid-state topochemical reactions confined within nanocrystalline lattices are modeled as coherent quantum-hydrodynamic systems. Traditional chemical kinetics, bounded by the classical Arrhenius activation energy barrier and chaotic thermal molecular colli...

Inside the Sun Light Advances on a Clock of Length Squared, and Outside on a Clock of Length ── The ratio of the two clocks is how many mean free paths fit in the radius, 3.315810917 times 10 to the 10, and the number of years moves by orders of magnitude with the mean free path while the exponent 2 does not ── the separator is whether the step length is taken fixed or exponentially distributed ── [Paper 1048]

Light crosses the radius of the Sun in 2.3 seconds. Yet to seep out from within takes incomparably longer. This paper counts the two as clocks of different dimension. No new theorem and no new law is claimed. Scope of this paper (scope note): No new theorem and no new law is claimed──the square law of the random walk,...

Error Progression in the Developing Fetus: A Mathematical Review

The developing fetus conducts billions of molecular processes, including cell division, gene regulation, protein signaling, and tissue remodeling—with remarkable precision. Errors in these systems could lead to implications that range from small changes in genes to major birth defects. This study examinesthe use of mat...

SDPM: Structural Dynamic Pattern Mapping Framework — A Methodological Approach to Conditional Structural Foresight

This paper presents a conceptual and methodological framework for long-horizon structural foresight of techno-social systems, formulated as a conditional projection rather than a deterministic calendar forecast. The framework treats the period 1926–2000 as training data to extract three dynamic laws—wave superposition...

A Physics-Informed B-Spline Reconstruction of Flow Data: Reproducibility Package

This repository contains the code and data accompanying the article “A Physics-Informed B-Spline Reconstruction of Flow Data,” published in Computer Methods in Applied Mechanics and Engineering (CMAME). The package includes numerical inputs, model coefficients, and analysis and plotting scripts for the one-dimensional...

Challenges of Flexible Learning to Trainers and Trainees in Diploma Programs: Basis for Enhanced Learning Management System (LMS)

This study examined the instructional, technological, organizational, socio-economic, and psychological challenges encountered by trainers and trainees in implementing flexible learning in the diploma programs of Zamboanga Sibugay Polytechnic Institute (ZSPI), providing an empirical basis for an Enhanced Learning Manag...

Distributional FKF–FKL Spectral Framework for Resilient Smart Logistics with Digital Twins, Sustainable Mobility, and Quantum-Constrained Dispatch

This reconstructed study develops an integrated mathematical and operational architecture in which distributional integral transforms provide the analytical layer for resilient smart logistics. The framework retains the original testing-function-space construction, its seminorm topology, Fréchet-space completeness, dua...

Frammento Veloce: la rete che non distrugge nucleo congelato,certificazione, richiamo associativo Quarta Versione(V4)con la rete neurale

Versione 4 (V4) introduce una rete a memoria protetta in cui il nucleo g0g_0g0 è immutabile (scrittura disabilitata e checksum SHA-256 verificato a ogni epoca), ogni ricordo occupa uno slot dedicato mai sovrascritto e la scrittura è consentita esclusivamente tramite un certificatore gfg_fgf basato su quiete, qualità e...

Traveling waves of a reaction–diffusion system with partially coupled diffusion

Toward 360-Degree Indoor Panorama Editing via Tuning-Free Diffusion Model with Refocusing Cross-Attention