14 papers · ranked by Valyu relevance
Rainer W. Alexandrowicz
Response time (RT) data play an important role in psychology. The diffusion model (DM) allows to analyze RT-data in a two-alternative-force-choice paradigm using a particle drift diffusion modeling approach. It accounts for right-skewed distributions in a natural way. However, the model incorporates seven parameters…
Maximilian Theisen, Veronika Lerche, Mischa von Krause, Andreas Voss
Older adults typically show slower response times in basic cognitive tasks than younger adults. A diffusion model analysis allows the clarification of why older adults react more slowly by estimating parameters that map distinct cognitive components of decision making. The main components of the diffusion model are the…
Mohammad Azimi, Yousef Jamali, Mohammad R. K. Mofrad, Nic D. Leipzig
Diffusion plays a key role in many biochemical reaction systems seen in nature. Scenarios where diffusion behavior is critical can be seen in the cell and subcellular compartments where molecular crowding limits the interaction between particles. We investigate the application of a computational method for modeling the…
Jixin Chen
This report uses Monte Carlo simulations to connect stochastic single-molecule and ensemble surface adsorption of molecules from dilute solutions. Monte Carlo simulations often use a fundamental time resolution to simulate each discrete step for each molecule. The adsorption rate obtained from such a simulation…
Sebastian Schmitt, Hans Hasse, Simon Stephan
Entropy scaling is a powerful technique that has been used for predicting transport properties of pure components over a wide range of states. However, modeling mixture diffusion coefficients by entropy scaling is an unresolved task. We tackle this issue and present an entropy scaling framework for predicting mixture…
Jixin Chen
Diffusive adsorption/association is a fundamental step in almost all chemical reactions in diluted solutions, such as organic synthesis, polymerization, self-assembly, biomolecular interactions, electrode dynamics, catalysis, chromatography, air and water environmental dynamics, and social and market dynamics. However…
Chih-Lung Chen, Tsing-Hai Wang, Ching-Hor Lee, Shi-Ping Teng
Diffusion is a dominant mechanism regulating the transport of released nuclides. The through-diffusion method is typically applied to determine the diffusion coefficients (D). Depending on the design of the experiment, the concentrations in the source term [i.e., inlet reservoir (IR)] or the end term [i.e., outlet…
Christophe Tournassat, Carl I. Steefel, Patricia M. Fox, Ruth M. Tinnacher
'Ruth M. Tinnacher'] The reactive transport code CrunchClay was used to derive effective diffusion coefficients (D*e), clay porosities (ε), and adsorption distribution coefficients (K**D) from through-diffusion data while considering accurately the influence of unavoidable experimental biases on the estimation of these…
R Dobrescu, VL Purcarea
The paper discusses the connection between emergence, pattern formation and nonlinear dynamics, focusing on the similarity between discrete patterns and fractal structures, and then describes different solutions to model reaction-diffusion systems as representative processes in morphogenesis. A specific example is the…
Katarzyna Bizon, Dominika Boroń, Bolesław Tabiś, Sébastien Déon + 1 more
'Kang Xiao'] The study addresses one of the fundamental issues in the mathematical modeling and quantitative process analysis of complex multicomponent diffusion in meso- and microporous materials. The model presented here incorporates combined molecular diffusion, Knudsen diffusion, viscous flow, and surface…
T. J. Sego, Josua O. Aponte-Serrano, Juliano F. Gianlupi, James A. Glazier
Background The biophysics of an organism span multiple scales from subcellular to organismal and include processes characterized by spatial properties, such as the diffusion of molecules, cell migration, and flow of intravenous fluids. Mathematical biology seeks to explain biophysical processes in mathematical terms…
Tresa M. Elias, Edward B. Brown Jr., Edward B. Brown III
Significance Multi-photon fluorescence recovery after photobleaching (MPFRAP) is a nonlinear microscopy technique used to measure the diffusion coefficient of fluorescently tagged molecules in solution. Previous MPFRAP fitting models calculate the diffusion coefficient in systems with diffusion or diffusion in laminar…
Cordula Reisch, Sandra Nickel, Hans-Michael Tautenhahn
The paper presents an approach for overcoming modeling problems of typical life science applications with partly unknown mechanisms and lacking quantitative data: A model family of reaction-diffusion equations is built up on a mesoscopic scale and uses classes of feasible functions for reaction and taxis terms. The…
Lenno van den Berg, Mark C. M. van Loosdrecht, Merle K. de Kreuk
Biofilm and granular sludge processes depend on diffusion of substrates. Despite their importance for the kinetic description of biofilm reactors, biofilm diffusion coefficients reported in literature vary greatly. The aim of this simulation study was to determine to what extent the methods that are used to measure…