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At least 253 records · Page 14Linked to original sources
PubMed2001

Modeling diffuse phosphorus loads from land to freshwater using the sedimentary record.

Diffuse phosphorus (P) loads to a small lake, Friary Lough, in a 1 km2 agricultural subcatchment were quantified over 90 years using a palaeolimnological model. The model assumes that lake total phosphorus (TP) is lost to the sediments and to the lake outflow during periods of steady-state or is also stored within the water column during periods of non-steady-state behavior. Reconstructed TP loads during the 1991-1995 time interval of 2.05-2.53 g m-2 yr-1 are verified by hydrochemical monitoring results from the lake inflow during 1997-1998. This provides evidence for the accuracy of the palaeolomnological model and also that TP loads to the lake can be accounted for from external catchment runoff. An analysis of the TP load data in terms of catchment exports shows that there was a linear rate of increase from ca. 1946 to 1995 of 1.20-1.56 kg km-2 yr-1. The rate of increase is similar to river P load data in the larger 1480 km2 catchment taken over 17 years. The rate of TP increase to the lake is interpreted with regard to current soil P models that propose increasing and threshold soil P concentrations as the cause for increasing diffuse P loss in runoff.

Agriculture↗
PubMedDate not supplied

Effects of random jumps on a very simple neuronal diffusion model.

The effects of taking into account in a perfect integrate and fire model of neuronal activity the spatial localization of the synapses are studied by superposing to the diffusion a simple discrete jump component. Different criteria are employed to assess the role of excitatory and inhibitory discrete contributions. Comparisons are performed with respect to the case where contributions coming from synapses more distal from the trigger zone are summed up in a continuous model. A systematic study of the output frequency and of the inter spike interval coefficient of variation (CV) is performed by means of examples as the model parameters are varied.

Models, Neurological↗
PubMed1999

Modeling diffusion limitation of gas exchange in lungs containing perfluorocarbon.

We reported changes in alveolar-arterial PO2 gradient, ventilation-perfusion heterogeneity, and arterial-alveolar PCO2 gradient during partial liquid ventilation (PLV) in healthy piglets (E. A. Mates, P. Tarczy-Hornoch, J. Hildebrandt, J. C. Jackson, and M. P. Hlastala. In: Oxygen Transport to Tissue XVII, edited by C. Ince. New York: Plenum, 1996, vol. 388, p. 585-597). Here we develop two mathematical models to predict transient and steady-state (SS) gas exchange conditions during PLV and to estimate the contribution of diffusion limitation to SS arterial-alveolar differences. In the simplest model, perfluorocarbon is represented as a uniform flat stirred layer and, in a more complex model, as an unstirred spherical layer in a ventilated terminal alveolar sac. Time-dependent solutions of both models show that SS is established for various inert and respiratory gases within 5-150 s. In fluid-filled unventilated terminal units, all times to SS increased sometimes by hours, e.g., SF6 exceeded 4 h. SS solutions for the ventilated spherical model predicted minor end-capillary disequilibrium of inert gases and significant disequilibrium of respiratory gases, which could explain a large portion of the arterial-alveolar PCO2 gradient measured during PLV (14). We conclude that, during PLV, diffusion gradients for gases are generally small, except for CO2.

Algorithms↗
PubMed2004

Modelling diffuse nutrient flow in eutrophication control scenarios.

The Swedish Water Management Research Programme (VASTRA) focuses on the development and demonstration of tools for more efficient eutrophication control when implementing the EU water framework directive in Sweden. During the first half of the programme, models for nitrogen flow were developed, and at present, similar models for phosphorus are under construction (e.g. HBV-P). The programme is interdisciplinary, and scientists are collaborating in actor-games and focus group evaluations including scenario analysis. The scenarios modelled in VASTRA phase I, show that (i) changed agricultural practices can be the most effective and least expensive way to reduce nitrogen transport from land to the sea; (ii) constructed agricultural wetlands may only have small impact on riverine nitrogen transport in some regions, due to natural hydrometeorological dynamics; (iii) removing planktivorous fish may be an efficient way of reducing the algal concentrations in lakes without the undesired side-effect of increased nutrient load to the down-stream river system. In VASTRA phase II, one of the highlights will be interdisciplinary scenario-modelling of different measure strategies in a pilot catchment of southern Sweden (Rönne å).

Agriculture↗
PubMed2000

A combined molecular dynamics and diffusion model of single proton conduction through gramicidin.

We develop a model for proton conduction through gramicidin based on the molecular dynamics simulations of Pomès and Roux (Biophys. J. 72:A246, 1997). The transport of a single proton through the gramicidin pore is described by a potential of mean force and diffusion coefficient obtained from the molecular dynamics. In addition, the model incorporates the dynamics of a defect in the hydrogen bonding structure of pore waters without an excess proton. Proton entrance and exit were not simulated by the molecular dynamics. The single proton conduction model includes a simple representation of these processes that involves three free parameters. A reasonable value can be chosen for one of these, and the other two can be optimized to yield a good fit to the proton conductance data of, Ann. N.Y. Acad. Sci. 339:8-20) for pH > or = 1.7. A sensitivity analysis shows the significance of this fit.

Biophysics↗
PubMed2000

Reaction-diffusion models describing a two-lane traffic flow

A unidirectional two-lane road is approximated by a set of two parallel closed one-dimensional chains. Two types of cars, i.e., slow and fast ones are considered in the system. Based on the Nagel-Schreckenberg model of traffic flow [K. Nagel and M. Schreckenberg, J. Phys. 2, 2221 (1992)], a set of reaction-diffusion processes is introduced to simulate the behavior of the cars. Fast cars can pass the slow ones using the passing lane. We write and solve the mean-field rate equations for the density of slow and fast cars, respectively. We also investigate the properties of the model through computer simulations and obtain the fundamental diagrams. A comparison between our results and the v(max)=2 version of the Nagel-Schreckenberg model is made.

Journal Article↗
PubMed2001

Longitudinal distribution of ozone and chlorine in the human respiratory tract: simulation of nasal and oral breathing with the single-path diffusion model.

In the single-path model of the respiratory system, gas transport occurs within a conduit of progressively increasing cross-sectional and surface areas by a combination of flow, longitudinal dispersion, and lateral absorption. The purpose of this study was to use bolus inhalation data previously obtained for chlorine (Cl(2)) and for ozone (O(3)) to test the predictive capability of the single-path model and to adjust input parameters for applying the model to other exposure conditions. The data, consisting of uptake fraction as a function of bolus penetration volume, were recorded on 10 healthy nonsmokers breathing orally as well as nasally at alternative air flows of 150, 250, and 1000 ml/s. By employing published data for airway anatomy, gas-phase dispersion coefficients, and gas-phase mass transfer coefficients while neglecting diffusion limitations in the mucus phase, the single-path model was capable of predicting the uptake distribution for O(3) but not the steeper distribution that was observed for Cl(2). To simultaneously explain the data for these two gases, it was necessary to increase gas-phase mass transfer coefficients and to include a finite diffusion resistance of O(3) within the mucous layer. The O(3) reaction rate constants that accounted for this diffusion resistance, 2 x 10(6) s(-1) in the mouth and 8 x 10(6) s(-1) in the nose and lower airways, were much greater than previously reported reactivities of individual substrates found in mucus.

Administration, Inhalation↗
PubMed1996

Drug dissolution into micellar solutions: development of a convective diffusion model and comparison to the film equilibrium model with application to surfactant-facilitated dissolution of carbamazepine.

The intrinsic dissolution rate of carbamazepine in solutions of sodium lauryl sulfate was measured to study the convective diffusion transport of drug-loaded micelles from a rotating disk. Alternative definitions for effective diffusivity and reaction factor are presented and compared with those commonly used for this type of transport problem. The conventional and alternative approaches are based on the same fundamental assumptions differing only in their interpretation of the diffusional boundary layer. For example, in this study it was observed that, above the cmc, a 2% w/v solution of sodium lauryl sulfate increased the dissolution rate approximately 6-fold and the solubility approximately 20-fold. This difference between the solubility and dissolution enhancement was attributed to the contribution to the total transport of both the enhanced solubility, a 20-fold increase, and the effective diffusivity of the drug-micelle complex, a 3-fold decrease, hence a net 6-fold increase in dissolution. The diffusivity of the drug-loaded micelle estimated from the dissolution data using the new definitions compared well with values determined by other methods (Dsm = 8.4 x 10(-7) cm2/s). On the basis of these results, the new definitions for the effective diffusivity and reaction factor offer a practical method for estimating micellar diffusion coefficients and predicting drug dissolution under the well-defined hydrodynamics of the rotating disk. It may also be possible to extend the application of these definitions to study the dissolution of water-insoluble drugs in other media, such as emulsions, to better understand drug dissolution under fed conditions in vivo.

Carbamazepine↗
PubMed1994

In vivo and in vitro analysis of skin penetration enhancement based on a two-layer diffusion model with polar and nonpolar routes in the stratum corneum.

In vitro and in vivo skin penetration of three drugs with different lipophilicities and the enhancing effects of 1-geranylazacycloheptan-2-one (GACH) were studied in rats. In vivo drug absorption profiles obtained by deconvolution of urinary excretion profiles were compared to the corresponding in vitro data obtained with a diffusion experiment. In vivo skin penetration of lipophilic butylparaben was considerably greater than that observed in vitro, while hydrophilic mannitol and acyclovir showed low penetration in both systems without GACH pretreatment. On the other hand, GACH enhanced mannitol and acyclovir penetration, especially in the in vivo system. Analysis of absorption profiles, using a two-layer skin model with polar and nonpolar routes in the stratum corneum, suggested that the diffusion length of a viable layer (viable epidermis and dermis) was shorter in vivo than in vitro and the effective area of the polar route in the stratum corneum was larger in vitro without GACH pretreatment. GACH increased the partitioning of acyclovir into the nonpolar route to the same extent in both systems. In addition, GACH increased the effective area of the polar route in vivo, probably because of enhanced water permeability; however, this effect was smaller in vitro since the stratum corneum was already hydrated even without GACH pretreatment.

Acyclovir↗
PubMed1992

Computationally efficient algorithms for convection-permeation-diffusion models for blood-tissue exchange.

Analysis of data on tissue depositions obtained by positron tomographic or NMR imaging, or of multiple tracer outflow dilution curves, requires fitting data with models composed of aggregates of capillary-tissue units. These units account for heterogeneities of flows and multisolute exchanges between longitudinally distributed regions across capillary and cell barriers within an organ. Because the analytic solutions to the partial differential equations require convolution integration, solutions are obtained relatively efficiently by a fast numerical method. Our approach centers on the use of a sliding fluid element algorithm for capillary convection, with the time step set equal to the length step divided by the fluid velocity. Radial fluxes by permeation between plasma, interstitial fluid, and cells and axial diffusion exchanges within each time step are calculated analytically. The method enforces mass conservation unless there is regional consumption. Solution for a 2-barrier, 3-region model, accurate to within 0.5%, are 100 to 1000 times faster than the corresponding, purely analytic solution, and over 10,000 times for a 4-region model. Applications include multiple indicator dilution studies of kinetics of transcapillary exchange and positron emission tomographic studies of the mechanisms of substrate transport into cells of organs in vivo.

Algorithms↗
PubMed2003

The kinetics of V-J joining throughout 3.5 megabases of the mouse Ig kappa locus fit a constrained diffusion model of nuclear organization.

To gain insight into the nuclear organization of the mouse Ig kappa locus and how it may relate to the formation of synapses during recombination, we have studied the kinetics of rearrangement of different V kappa gene families to J kappa gene segments in the pre-B cell line, 103bcl2. Remarkably, V kappa gene families separated by more than 3.5 Mb from J kappa gene segments rearranged with nearly identical kinetics to those as close as 18 kb to J kappa gene segments. These results fit a model of nuclear organization in which the entire V kappa J kappa region resides within a single nuclear subcompartment and is capable of exhibiting multiple reversible contacts through diffusion and Brownian motion.

Animals↗
PubMed2006

A multiphase microscopic diffusion model for stratum corneum permeability. I. Formulation, solution, and illustrative results for representative compounds.

A two-dimensional microscopic transport model of the stratum corneum (SC) incorporating corneocytes of varying hydration and permeability embedded in an anisotropic lipid matrix is presented. Results are expressed in terms of a dimensionless permeability (P(SC/w)(comp), which is a function of two dimensionless parameters, R and sigma. R is a ratio of transbilayer to lateral molecular flows within a lipid bilayer and sigma is the ratio of (lateral) permeability in the lipid phase, D(lip)K(lip/w), to that in the corneocyte phase, D(cor)K(cor/w.) The shape of the dimensionless permeability surface is also governed by the arrangement of the SC lipids, where Model 1 represents the extreme in which lipid-phase transport can occur with no transbilayer transport, whereas Model 2 entails maximum transbilayer transport. Model calculations are exemplified by characterizing the skin permeability of four representative permeants: water, ethanol, nicotinamide, and testosterone. A comparison with experimental steady state permeability and partition data supports that the transport properties of the SC lipids are highly anisotropic, with lateral diffusivities several orders of magnitude higher than the equivalent diffusivity calculated from transbilayer hopping. Nevertheless, the calculations suggest that corneocyte-phase transport plays a major role for all four permeants. These results confirm our previous calculations on water permeability and present a marked contrast to the commonly stated doctrine that the SC transport pathway is primarily intercellular.

Cell Membrane Permeability↗
PubMed2006

GVF-based anisotropic diffusion models.

In this paper, the gradient vector flow fields are introduced in image restoration. Within the context of flow fields, the shock filter, mean curvature flow, and Perona-Malik equation are reformulated. Many advantages over the original models can be obtained; these include numerical stability, large capture range, and high-order derivative estimation. In addition, a fairing process is introduced in the anisotropic diffusion, which contains a fourth-order derivative and is reformulated as the intrinsic Laplacian of curvature under the level set framework. By applying this fairing process, the shape boundaries will become more apparent. In order to overcome numerical errors, the intrinsic Laplacian of curvature is computed from the gradient vector flow fields instead of the observed images.

Algorithms↗