diffusion models

From ZTD Axioms to the Schr\"odinger Equation:\\ Downgrade Derivation of the Coupled Oscillator Model and Conditional Rigorous Proof of the Continuum Limit (First Version)

Within the framework of ZTD (Marker Ontology), this paper provides a downgradederivation of the Schrödinger equation from two ontological axioms. The paper consists oftwo parts.Part I (Physics): From the finitude axiom, we rigorously derive that the change ofprimitive states requires time, excluding zeroth-order dynami...

Dynamic Diffusion of Legal Compliance and Ethical Conduct among Construction Project Owners: An Epidemiological Modeling Approach

Abstract Construction industries worldwide face persistent challenges of ethical misconduct, contractual violations, and regulatory noncompliance, imposing substantial legal liabilities and undermining sustainable development. Although legal frameworks exist to govern owner behavior, their dynamic enforcement effects a...

Fundamental Limitations of the Diffusion Paradigm and the Electroacoustic Mechanism of Intercellular Transport in the Phylogenesis of Multicellular Systems

lternative title / Subtitle: How the Cell Became an Organism This paper establishes a monolithic physical and anatomical foundation for a new paradigm in cellbiophysics, challenging the dogmatic biochemical paradigm of classical physiology, which posits thatintercellular transport and tissue coordination occur exclusiv...

Sustainable Hydrogel‐Forming Microneedle‐Reservoir Patches for Transdermal Delivery of Hydrophilic Macromolecules: Biopolymers, Green Manufacturing and Translation

ABSTRACT Hydrophilic biomacromolecules, including insulin, peptides, proteins and vaccine antigens, have transformed modern therapeutics, yet their delivery remains dominated by injections because the stratum corneum (SC) severely restricts passive transport of large and polar molecules. Microneedles have created a rou...

Modeling multiscale transport‐reaction in fixed bed reactors for CO 2 hydrogenation to aromatics

Abstract CO 2 hydrogenation to aromatics via methanol is a promising alternative for the low‐carbon and sustainable production of aromatics. Herein, a two‐scale particle‐resolved computational fluid dynamics model is developed to reveal the complex transport‐reaction in the fixed‐bed reactor for this cascade reaction (...

Finite Element Analysis of Programmable Chemical Actuators

Spatiotemporal modulation of electrochemical gradients to control enzyme activity in biological systems has been achieved using programmable chemical actuators (PCAs). The electronic‐ionic coupling by polypyrrole is the operational physics foundation of PCAs. In a previous study, pH‐indicating dyes were used to measure...

In Silico and Experimental Investigation of κ-Carrageenan/Agarose Hydrogel Films: Insights into Composition-Dependent Behaviour, Predicted Protein Associations, and Model Protein Release

NeuroModular AI Architecture — 2026 Update: Connectome-Constrained Modular Language Models with Disease-Trajectory Lesion Validation

Research note updating the author's May 2025 NeuroModular AI Architecture concept (region-specific models communicating through a connectome-informed backbone). It acknowledges recent prior art on brain-inspired modular LLM systems (MAP, MICRO, Lilith and others) and claims no priority over it. It fixes four specific c...

A Proxy-Based Method for Measuring Racial Disparities in Text-to-Image Generators

We present an automated method for auditing text-to-image generators for representational bias against ground-truth demographic benchmarks. Our approach adapts the racial proxy variables used in U.S. antidiscrimination law to provide a fine-grained comparative analysis of variations in racial representation in generate...

Nonlocality as the Price of Discovery: A Symmetry Between Transport Operators in Neurodegeneration and Attention in Language Models

Short framing note. It observes that two independent modeling corrections are the same statement: in neurodegeneration, a streamline-weighted graph Laplacian is a nonlocal transport operator while voxelwise anisotropic diffusion is local; in language models, all-to-all attention is a nonlocal interaction while topograp...

Understanding when and how knowledge graphs add value to EHR-based clinical prediction across Parkinson's disease, multiple sclerosis, and chronic pain

Biomedical knowledge graphs (KGs) have emerged as a promising approach for incorporating biological knowledge into machine-learning models trained on electronic health record (EHR) data. However, their large scale and heterogeneous structure impose substantial computational cost, and it remains unclear whether their be...

Physics beyond the grid: reproducible experiments

An equation can fit simulation data while assigning numerical dissipation to physical transport. We characterize when continuum coefficients are identifiable from weak measurements with unknown discretization corrections, and test the resulting criterion across 1,080 datasets from transport, Burgers and reaction–diffus...