Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation by Petr Stehlík, Jonáš Volek

“…We study reaction-diffusion equations with a general reaction function f on one-dimensional lattices with continuous or discrete time ux′  (or  Δtux)=k(ux-1-2ux+ux+1)+f(ux), x∈Z. …”
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Civil Society as an Environment for Production and Diffusion of Social Innovation by Irina Krasnopolskaya, Irina Mersiyanova

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Exactly solvable diffusions from space-time transformations by Costantino Di Bello, Édgar Roldán, Ralf Metzler

“…We consider a general one-dimensional overdamped diffusion model described by the Itô stochastic differential equation (SDE) ${\mathrm dX_t = \mu(X_t,t)\mathrm dt+\sigma (X_t,t)\mathrm dW_t}$ , where W _t is the standard Wiener process. …”
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Numerical Simulation of Capture of Diffusing Particles in Porous Media by Valeriy E. Arkhincheev, Bair V. Khabituev, Stanislav P. Maltsev

“…Numerical modeling <b>was conducted to study</b> the capture of particles diffusing in porous media with traps. …”
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On the Generalized Fractional Convection–Diffusion Equation with an Initial Condition in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struc... by Chenkuan Li, Reza Saadati, Safoura Rezaei Aderyani, Min-Jie Luo

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Comparative analysis of hall current impact on MHD laminar surface tension gradient 3D flow of propylene glycol based tetra hybrid nanofluid with generalized fick's and fourier's p... by Munawar Abbas, Shirin Shomurotova, Qasem Al-Mdallal, Ali Akgül, Zuhair Jastaneyah, Hakim AL Garalleh

“…Using the Cattaneo-Christov double diffusion (CCDD) model, the problem is simulated. In this work, the CCDD model is used to analyze the mass and heat transmission tetra hybrid nanofluid. …”
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Turing instabilities and pattern formation in a benthic nutrient-microorganism system by Martin Baurmann, Wolfgang Ebenhöh, Ulrike Feudel

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Sculpting molecules in text-3D space: a flexible substructure aware framework for text-oriented molecular optimization by Kaiwei Zhang, Yange Lin, Guangcheng Wu, Yuxiang Ren, Xuecang Zhang, Bo Wang, Xiao-Yu Zhang, Weitao Du

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Cluster as place of efficient diffusion of knowledge. Experiences of Lower Silesia by Malgorzata Wachowska

“…On the basis of the analysis of national and international patent applications, it has been found that few inventions of enterprises are created in cooperation with other cluster members as well as that enterprises refer to the knowledge of other cluster members in their patent descriptions to a limited extent, which in general does not support the thesis that cluster membership contributes to the intensification of knowledge-diffusion processes.…”
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Genomic landscape of diffuse glioma revealed by whole genome sequencing by Ben Kinnersley, Josephine Jung, Alex J. Cornish, Daniel Chubb, Ross Laxton, Anna Frangou, Andreas J. Gruber, Amit Sud, Giulio Caravagna, Andrea Sottoriva, David C. Wedge, Thomas Booth, Safa Al-Sarraj, Samuel E. D. Lawrence, Erminia Albanese, Giulio Anichini, David Baxter, Alexandros Boukas, Yasir A. Chowdhury, Pietro D’Urso, Robert Corns, Andrew Dapaah, Ellie Edlmann, Fay Greenway, Paul Grundy, Ciaran S. Hill, Michael D. Jenkinson, Sandhya Trichinopoly Krishna, Stuart Smith, Susruta Manivannan, Andrew J. Martin, Samir Matloob, Soumya Mukherjee, Kevin O’Neill, Puneet Plaha, Jonathan Pollock, Stephen Price, Ola Rominiyi, Bobby Sachdev, Fozia Saeed, Saurabh Sinha, Lewis Thorne, Ismail Ughratdar, Peter Whitfield, Amir Saam Youshani, Helen Bulbeck, Prabhu Arumugam, Richard Houlston, Keyoumars Ashkan

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Fourier Neural Operator Networks for Solving Reaction–Diffusion Equations by Yaobin Hao, Fangying Song

“…Furthermore, we explored the generalization ability of the model by evaluating its performance when trained on Vortex Initial Conditions and applied to Sinusoidal Initial Conditions. …”
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On the Diffusion Rates of Electron Bounce Resonant Scattering by Magnetosonic Waves by Armando A. Maldonado, Lunjin Chen

“…Such bounce resonance diffusion coefficients are important, but missing, from radiation belt modeling. …”
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Comparison of Jump-Diffusion Parameters Using Passage Times Estimation by K. Khaldi, K. Djeddour, S. Meddahi

“…The main purposes of this paper are two contributions: (1) it presents a new method, which is the first passage time generalized for all passage times (PT method), in order to estimate the parameters of stochastic jump-diffusion process. (2) It compares in a time series model, share price of gold, the empirical results of the estimation and forecasts obtained with the PT method and those obtained by the moments method applied to the MJD model.…”
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Light Field Diffusion for Single-View Novel View Synthesis by Yifeng Xiong, Haoyu Ma, Shanlin Sun, Kun Han, Hao Tang, Xiaohui Xie

“…Our approach not only involves training Image Light Field Diffusion on the ShapeNet Car dataset but also includes fine-tuning a pre-trained latent diffusion model on the Objaverse dataset, which enables our Latent Light Field Diffusion model to exhibit remarkable zero-shot generalization capabilities across out-of-distribution datasets like the Ray-traced multi-view synthetic dataset, Google Scanned Objects dataset, and in-the-wild images. …”
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On an Impulsive Conformable M1 Oncolytic Virotherapy Neural Network Model: Stability of Sets Analysis by Gani Stamov, Ivanka Stamova, Cvetelina Spirova

“…In this paper, the impulsive conformable calculus approach is applied to the introduction of an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mn>1</mn></mrow></semantics></math></inline-formula> oncolytic virotherapy neural network model. The proposed model extends some existing mathematical models that describe the dynamics of the concentrations of normal cells, tumor cells, nutrients, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mn>1</mn></mrow></semantics></math></inline-formula> viruses and cytotoxic T lymphocyte (CTL) cells to the impulsive conformable setting. …”
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Numerical solutions of multi-term fractional reaction-diffusion equations by Leqiang Zou, Yanzi Zhang

“…In this paper, we have proposed a numerical approach based on generalized alternating numerical fluxes to solve the multi-term fractional reaction-diffusion equation. …”
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Les géographes - climatologues français et le changement climatique aux échelles régionales by Gérard Beltrando

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Physics-Informed Neural Network-Based Inverse Framework for Time-Fractional Differential Equations for Rheology by Sukirt Thakur, Harsa Mitra, Arezoo M. Ardekani

“…We consider two representative applications: anomalous diffusion and fractional viscoelasticity. Using both synthetic and experimental datasets, we infer key physical parameters including the generalized diffusion coefficient and the fractional derivative order in the diffusion model and the relaxation parameters in a fractional Maxwell model. …”
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Switching Response in Organic Electrochemical Transistors by Ionic Diffusion and Electronic Transport by Juan Bisquert, Baurzhan Ilyassov, Nir Tessler

“…We show the reduction of the general model to simple time‐dependent equations for the average ionic/hole concentration inside the organic film, which produces a Bernards‐Malliaras conservation equation coupled with a diffusion equation. …”
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International Spatial Diffusion of the Church of Jesus Christ of Latter-day Saints by Samuel M. Otterstrom

“…A model of Mormon spatial diffusion in foreign countries is developed incorporating both a functional and spatial perspective. …”
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