diffusion models

Revealing the Role of Ion Transport Properties through Ion-Exchange Membranes for Aqueous Zinc-Ion Battery

Abstract The separator material is a critical component that governs the cycling performance of aqueous zinc-ion batteries (AZIBs); however, how its ion transport properties dictate specific electrochemical behaviors remains poorly understood. Here, we investigated the relationship between ion transport properties and...

Environmental Drivers and Group Defense Strategies in Diffusive and Non-Diffusive Predator-Prey Dynamics

Predator-prey dynamics are strongly influenced by environmental factors, such as the availability of resources, habitat quality and climatic conditions, which determine species survival, species reproduction and aggregate defensive behaviour. Using these ecological processes, a three-species predator-prey model is form...

Interaction of network and customer characteristics on product diffusion on social media platforms: a hybrid multi-agent model

A complete time–temperature–transformation diagram of the RTM6 epoxy resin used for aerospace applications: integrating cure kinetics, thermal degradation and curing-induced overheating

Abstract RTM6 is a monocomponent epoxy resin widely used in the aerospace industry, where it is processed by resin transfer molding and related liquid-composite-molding routes. Its time–temperature–transformation (TTT) diagram maps, as a function of cure temperature and time, the boundaries between the different physic...

Mathematical Derivation and Verification of the Tipping Point in AI Diffusion (B2C & B2B) in Comparison to the PhD Thesis (2012)

Exact Calculation of the 3rd Derivative (Jerk j(t)) Based on Empirical High-Frequency RawData (2022–2026) Dr Theodor Heutschi | heutschi.com | Scientific Working Paper (July 2026) ABSTRACT This scientific paper applies the mathematical foundation developed in the PhD dissertation of Dr Theodor Heutschi (2012, heutschi....

Beyond static uptake: rethinking [18F]FMISO PET for quantifying and interpreting tumor hypoxia

Abstract Background Tumor hypoxia is a critical microenvironmental determinant of progression, treatment resistance, and prognosis in solid tumors. Among hypoxia-targeted imaging approaches, [ 18 F]fluoromisonidazole ([ 18 F]FMISO) positron emission tomography (PET) provides a noninvasive imaging readout related to the...

Cross-modality network phenotyping: a multivariate MRI biomarker signature predicts spatial pathology and clinical severity in EAE

Introduction Evaluating novel therapies for multiple sclerosis requires robust, non-invasive biomarkers. In the experimental autoimmune encephalomyelitis (EAE) model, standard disease evaluations rely heavily on subjective clinical motor scoring and terminal histology, which frequently suffer from a mathematical diluti...

Monte Carlo modeling of the formation and organization of ion channel clustering

A stochastic computational framework is presented that models the dynamic organization of ion channels through Monte Carlo simulations incorporating membrane insertion, removal, channel-channel interactions, and diffusion processes, and reveals several fundamental principles of membrane domain formation.

Spatially informed demand-side policies for green hydrogen diffusion in Europe

Abstract Green hydrogen faces an implementation gap: demand substantially lags policy ambitions. Here, combining an installation-level model of green hydrogen demand with an original database of >14,000 potential offtakers in Europe, we show that, conditional on diffusion patterns mirroring natural gas power generation...

Analysis of Markov chain approximation for regime-switching jump-diffusions with nonsmooth coefficients: deformed contour integration approach

The deformed contour integration approach is illustrated by analysing the convergence rate of CTMC approximation for double-barrier option pricing under general regime-switching jump-diffusion models with nonsmooth coefficients.

From Phonetic Variation to Linguistic Divergence: A Dual-Axis Model of Historical Sound Change and Dialect Diversity in Arabic

From Static Material Design to Predictive Open-Loop Control via Chemistry–Architecture Coupling in a Moving-Boundary Reaction–Diffusion Framework

Bioactive silicate ceramics, wollastonite (CaSiO3), diopside (CaMgSi2O6), and apatite–wollastonite glassceramics constitute a unique class of bone-regeneration materials whose therapeutic action is intrinsically coupled to their own degradation. Yet the field continues to design these materials as static objects, optim...