[An experimental model of diffuse peritonitis].
Explore the source record for details and available documents.
Animals↗
SEARCH · Search PubMed
Results for “Diffusion models”
Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.
Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.
Identification of dynamic leaching kinetics of stabilized, water-soluble wastes.
A one-dimensional diffusion model based on Fick's second law with a non-zero surface concentration at the solid-solution interface was developed to calculate effective calcium and sulfate diffusion coefficients of composites placed in saltwater. A regression method was used to identify the leaching kinetics. The regression method decomposes the stabilized PG leaching processes into diffusion, surface wash-off, and immediate and long-term precipitation. The immediate surface precipitation of both calcium and sulfate ions occurred only in three of the PG composite combinations. The effective diffusion coefficients of calcium (2.58-4.68 x 10(-13) m2 s(-1)) and sulfate (2.77-5.02 x 10(-13) m2 s(-1)) obtained from the regression method are similar to those obtained from methods of cumulative flux and daily flux associated with the simple diffusion model, provided that the leaching processes do not deviate significantly from that of the diffusion. The ratio (1.13) of effective sulfate to calcium diffusion coefficients obtained using the regression analysis is statistically consistent with the theoretical value (1.31), which further justifies the regression method. The research also implies that the leaching processes of calcium and sulfate ions stop after a certain period of time (300-900 d for calcium and 80-170 d for sulfate) and that the precipitations of calcium and sulfate affect the leaching processes. The regression method can be used to identify the leaching mechanisms and to predict the long-term stability of the stabilized wastes.
Calcium↗
Dissolution rate studies from a stationary disk/rotating fluid system.
The dissolution rates for hydrocortisone alcohol and acetate were determined using a stationary disk/rotating fluid system. The hydrocortisone was compressed in a tablet die, and the die placed in a vessel above a rotating magnetic bar. Dissolution rates were evaluated in aqueous media under conditions involving the following independent variables: solubility (Cs), diffusion coefficient (D), viscosity (v), rotational speed (omega), and tablet radius (r). A design equation which relates dissolution rate (R) to these variables was formulated for the system R alpha Cs D2/3 (v) -1/6(omega)1/2(r)3/2 This design equation adequately represents the system, which is related to fluid mechanics and convective diffusion models. The fluid mechanics model assumes that the fluid ideally rotates as solid-body rotation and the momentum layer is initiated at the outside radius of the tablet die. The convective diffusion model is based on the formation of a diffusion layer at the outside radius of the dissolving surface and a predictable relationship between the momentum and the mass transport quantities of bulk viscosity and diffusion coefficient. This configuration, like the rotating disk in a stationary fluid, offers the attractive attribute of being useful to study drug release mechanisms for systems of pharmaceutical interest.
Chemistry, Pharmaceutical↗
Effect of solute concentration on sorption of polyaromatic hydrocarbons in soil: uptake rates.
The effect of solute concentration on sorption kinetics may be a factor in determining bioavailability and transport of organic pollutants in soils and sediments, but there is conflict in the literature over whether sorption is concentration-dependent. Sorption of phenanthrene and pyrene to seven soils ranging in organic carbon (OC) content from 0.18 to 43.9% was studied. Careful analysis revealed that experimentally the normalized rate of approach to equilibrium for compounds exhibiting a concave-down (with respect to the solute concentration axis) nonlinear isotherm increases with concentration. However, the effect is rather small and is most apparent when the fraction of total solute finally taken up by the solid (F) is low. The explanation is rooted in the nonlinearity of the isotherm and the finite-bath condition of the experiment and can be expressed in terms of two opposing effects. On the one hand, the apparent diffusivity of a (concave-down) nonlinearly sorbing compound within particles increases with concentration because its affinity for the solid phase decreases with increasing concentration. On the other hand, rates in finite-bath reactors carried out at the same liquid/solid ratio will suffer from a batch process temporal bias called the "shrinking gradient" effect. It is an artifact of the methodology and is due to gradient driving forces that slow the sorption rate as F declines. In nonlinear cases F declines as concentration increases. The shrinking gradient effect vanishes as the liquid/solid ratio approaches infinity. Although this effect is self-correcting when an appropriate nonlinear diffusion model is applied, consensus about such models has not yet been achieved. To provide bounds for the shrinking gradient effect in finite-bath systems semiempirically, two models that give lower and upper bounds of the characteristic sorption time tau in the limit of infinite bath have been employed: (a) a wetting front model, which assumes sorption is rate-limited by molecular migration, and (b) a fast diffusion model, which assumes a mass-transfer resistance at the sorption site. The results are consistent with an intrinsic positive concentration dependence of sorption kinetics.
Absorption↗
Anatomic and electrophysiologic evidence for a proconvulsive circuit in the dentate gyrus of reeler mutant mice, an animal model of diffuse cortical malformation.
Although cortical malformations (CMs) are often associated with epilepsy, the underlying mechanisms are unknown. The reeler mouse is a model of CM with enhanced susceptibility to epileptiform activity, including the in vitro dentate gyrus, a region normally resistant to seizures. In this study, field potential recordings in hippocampal slices and the Timm stain were used to examine mossy fiber distribution in the dentate gyrus. In artificial cerebrospinal fluid containing bicuculline, 100% of reeler slices and 0% of control slices had spontaneous and antidromic evoked prolonged negative field potential shifts that were blocked by glutamate receptor antagonists. Sections from reeler mice, but not controls, exhibited a dark band of Timm's stain at the molecular layer/granule cell layer border. These data reveal that mossy fiber distribution is altered in reeler mice and coincides with the presence of an abnormal proconvulsive glutamatergic circuit.
Action Potentials↗
The adsorption of basic dyes from aqueous solution on modified peat-resin particle.
Modified peat was prepared by mixing thoroughly raw peat with sulfuric acid, and modified peat-resin particle was obtained, by mixing modified peat with solutions of polyvinylalcohol (PVA) and formaldehyde. In this paper, the adsorption of Basic Magenta and Basic Brilliant Green onto modified peat-resin particle is examined. The adsorption isotherm showed that the adsorption of basic dyes on modified peat-resin particle deviated from the Langmuir and Freundlich equations. The pseudo-first order, pseudo-second order and intraparticle diffusion models were used to fit the experimental data. By comparing the standard deviation, it was found that the intraparticle diffusion model could be used to well describe the adsorption of two basic dyes on modified peat-resin particle. According to the change of intraparticle diffusion parameter, the adsorption processes could be divided into different stages. The kinetics experiment also indicated that initial dye concentrations, particle dose and particle size could affect the adsorption processes of basic dyes.
Acrylic Resins↗
Extracellular matrix environment influences chondrogenic pattern formation in limb bud micromass culture: experimental verification of theoretical models.
Various theoretical models have been proposed to explain the periodicity in the pattern of limb chondrogenesis, but experimental comparison of these models have seldom been performed properly. In the present study, micromass culture of limb bud mesenchyme cells was undertaken to test the validity of three theoretical models: the reaction-diffusion model, the cell sorting model, and the mechanochemical model. Computer simulations were undertaken to predict the factors that can affect the coarseness of the chondrogenic pattern. According to the predictions, we performed micromass culture of limb mesenchyme in collagen and agarose gel. Then we carried out time-lapse observation to analyze the cell movement during pattern formation. From computer simulations it was theoretically predicted that changes in the surrounding extracellular matrix should alter the periodicity of the chondrogenic pattern in vitro, and we found that pattern changes actually occurred under different culture conditions. When compared with the culture in a liquid medium, the chondrogenic pattern became less coarse when the cells were cultured in collagen or agarose gel, and the pattern change appeared to be independent of the cell differentiation. Time-lapse observation revealed a decrease in cell motility when the cells were cultured in gel. It was found that both the reaction-diffusion and cell sorting models fit the pattern change produced and that the mechanochemical model is not primarily important in the chondrogenic pattern formation in vitro.
Agar↗
Influence of diffusion on models for nonequilibrium wetting.
It is shown that the critical properties of a recently studied model for nonequilibrium wetting are robust if one extends the dynamic rules by single-particle diffusion on terraces of the wetting layer. Examining the behavior at the critical point and along the phase transition line, we identify a special point in the phase diagram where detailed balance of the dynamical processes is partially broken.
Journal Article↗
A simple mathematical model for diffusion of drug into an infection site.
Explore the source record for details and available documents.
Animals↗
Diffusive-convective models for intestinal absorption of D2O.
Explore the source record for details and available documents.
Biological Transport↗
Evaluation of mathematical models for diffusion from semisolids.
Explore the source record for details and available documents.
Diffusion↗
Radon diffusion in model tests on Finnish esker and till soils.
In this paper, 222Rn activity has been investigated in some Finnish esker and glacial till areas. Model tests have been carried out to study soil parameters such as the 222Rn production rate, the 222Rn diffusion coefficients, and the 222Rn exhalation rate. The general differential equations for diffusion have been solved with different boundary conditions. Diffusion coefficients calculated from different experimental tests are comparable to each other.
Diffusion↗
Periodic pattern formation in reaction-diffusion systems: an introduction for numerical simulation.
The aim of the present review is to provide a comprehensive explanation of Turing reaction-diffusion systems in sufficient detail to allow readers to perform numerical calculations themselves. The reaction-diffusion model is widely studied in the field of mathematical biology, serves as a powerful paradigm model for self-organization and is beginning to be applied to actual experimental systems in developmental biology. Despite the increase in current interest, the model is not well understood among experimental biologists, partly because appropriate introductory texts are lacking. In the present review, we provide a detailed description of the definition of the Turing reaction-diffusion model that is comprehensible without a special mathematical background, then illustrate a method for reproducing numerical calculations with Microsoft Excel. We then show some examples of the patterns generated by the model. Finally, we discuss future prospects for the interdisciplinary field of research involving mathematical approaches in developmental biology.
Algorithms↗
Modeling buffered Ca2+ diffusion near the membrane: implications for secretion in neuroendocrine cells.
Secretion of catecholamines from neuroendocrine cells is relatively slow and it is likely that redistribution and buffering of Ca2+ is a major factor for delaying the response after a stimulus. In fact, in a recent study (Chow, R. H., J. Klingauf, and E. Neher. 1994. Time course of Ca2+ concentration triggering exocytosis in neuroendocrine cells. Proc. Natl. Acad. Sci. U.S.A. 91:12765-12769) Chow et al. concluded that the concentration of free calcium ([Ca2+]i) at a release site peaks at < 10 microM during short-step depolarizations, and then decays to baseline over tens of milliseconds. To check whether such a time course is consistent with diffusion theory, we modeled buffered diffusion in the vicinity of a Ca2+ channel pore. Peak [Ca2+]i and the slow decay were well simulated when release-ready granules were randomly distributed within a regular grid of Ca2+ channels with mean interchannel distances of 300-600 nm. For such large spacings, however, the initial rise in [Ca2+]i was underestimated, suggesting that a small fraction of the release-ready pool (approximately 10%) experiences much higher [Ca2+]i, and thus might be colocalized with Ca2+ channels. A model that accommodates these findings then correctly predicts many recent observations, including the result that single action potentials evoke near-synchronous transmitter release with low quantal yield, whereas trains of action potentials lead to desynchronized release, but with severalfold increased quantal yield. The simulations emphasize the role of Ca2+ not only in triggering, but also in modulating the secretory response: buffers are locally depleted by residual Ca2+ of a preceding stimulus, so that a second pulse leads to a larger peak [Ca2+]i at the fusion sites.
Action Potentials↗
Penetration enhancers for human skin: mode of action of 2-pyrrolidone and dimethylformamide on partition and diffusion of model compounds water, n-alcohols, and caffeine.
Penetration-enhancing solvents may modify diffusional routes through the stratum corneum and the partitioning of drugs into these pathways. To investigate the mechanisms of action of enhancers, steady-state fluxes were measured in vitro for polar methanol, nonpolar octanol, and an intermediate compound, caffeine, selected as model penetrants; human stratum corneum conditioned on both sides with water or accelerants (2-pyrrolidone or dimethylformamide solutions) was used. We determined partition, permeability, and apparent diffusion coefficients, and derived the standard free energy of transfer of the methylene group from water to stratum corneum (-423 cal mol-1); less negative values were obtained for transfer from 2-pyrrolidone solutions. We conclude that for these model compounds, and taking a fully hydrated membrane as a standard: (a) 2-pyrrolidone enhances permeation through the polar route of the skin by increasing the diffusivity, and reduces passage through the nonpolar route by decreasing diffusivity and partitioning, (b) dimethylformamide promotes polar route absorption by raising diffusivity and partitioning and reduces nonpolar absorption by decreasing both parameters, and (c) for caffeine, the markedly increased absorption (15-fold) caused by dimethylformamide is associated with damage to the membrane.
Aged↗
A diffusion-reaction model for DNA microarray assays.
DNA microarrays are extensively used for the quantification of the degree of differential mRNA expression. The assay involves hybridization of mobile DNA strands with immobilized complementary DNA strands to form duplexes. The overall duplex formation rate depends on the rate of transport of strands in solution to the corresponding spot on the surface, and the rate of the hybridization reaction. We present a theoretical model that incorporates both kinetics of the reversible hybridization reaction and diffusional transport of the labeled strands, and analyze DNA microarray hybridization using this model. Simulations are carried out in a geometrically realistic domain for labeled DNA concentrations corresponding to rare and abundant transcripts for typical assay conditions. The rate of strand diffusion in solution is shown to strongly affect the overall hybridization rate. We compute the minimum inter-spot spacing for replicate spots to enhance sensitivity. We also determine the hybridization time for which reliable estimates of the relative mRNA abundance of two species can be obtained using total fluorescence intensities. An analytical solution for the concentration distribution of mobile strands at intermediate hybridization times provides a convenient tool to calculate the mobile strand concentration profiles. This model provides a framework for the process analysis of all microarray assays currently used for genomic transcriptional analysis.
Computer-Aided Design↗
Particle deposition onto charge heterogeneous surfaces: convection-diffusion-migration model.
The role of surface charge heterogeneity of planar collectors on particle deposition and distribution was investigated in the vicinity of a heterogeneous surface for a radial impinging jet flow geometry. The charge heterogeneity was modeled as concentric circular stripes bearing different surface charges. Particle deposition was studied employing the Eulerian approach (convection-diffusion-migration equation). It was observed that when the collector was completely unfavorable, the presence of small amounts of charge heterogeneity in the form of a small fraction of favorably charged stripes enhanced the deposition rate substantially. In contrast, when the collector was completely favorable, the presence of small amounts of charge heterogeneity in the form of a small fraction of unfavorably charged stripes did not affect the particle deposition rate significantly.
Journal Article↗
Modelling of additive diffusion in polyolefins.
A semi-empirical model has been developed for additive diffusion in polymers. The model estimates apparent diffusion coefficients of an additive migrating through polyolefin polymers into a fatty food simulant for a range of temperatures between the glass transition and melting temperatures of the polymer. This diffusion model has been applied to several additive/polyolefin systems to determine its validity and limitations.
Alkenes↗