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PubMed1989

Simulation of the diffusion of acetylcholine in the neuroeffector junctions of the sinus node.

Traditionally, the diffusion of acetylcholine (ACh) from a neuron to cardiac muscle in a neuroeffector junction has been modeled as radial diffusion from a nerve ending into a spherical homogeneous medium. Various microscopic structures in the heart may or may not influence the spatial distribution of ACh within neuroeffector junctions. To determine the effect of microscopic anatomy on the diffusion of ACh in neuroeffector junctions, we simulated the diffusion of ACh in a two-dimensional inhomogeneous geometry that was based on micrographs of neuroeffector junctions in the sinus node. ACh was released at sites adjacent to a neuron. Simulations showed that the times of peak concentration after release and the peak concentrations per se were distributed symmetrically above and below and to the right and left of the neuron, but not radially about the neuron. We conclude that the diffusion of ACh in the neuroeffector junctions of the sinus node cannot be predicted well by a mathematical model that assumes radial diffusion in a spherical and homogeneous medium.

Acetylcholine↗

PubMed2001

Film-pore diffusion model for the fixed-bed sorption of copper and cadmium ions onto bone char.

The sorption of copper and cadmium ions onto bone char in single component systems has been studied using fixed-bed column adsorbers. The effects of solution flowrate, initial metal ion concentration and bone char particle size have been studied. A film-pore diffusion model has been developed to predict the fixed-bed breakthrough curves for the two metal ions. A sensitivity analysis has been carried out to investigate the influence of the external mass transfer coefficient (film resistance), the effective diffusion coefficient (pore diffusion) and the solid phase loading capacity. It is found that under the experimental conditions employed in the study, film diffusional resistance was low and the Biot numbers were relatively high. Furthermore, a constant effective pore diffusivity was not sufficient to correlate the breakthrough curves accurately and a variable dependent effective diffusivity was required; suggesting a possible contribution from surface diffusion. Since the metal ion-bone char systems take a long time to reach equilibrium, the solid phase loading capacity, as predicted by the "best-fit" equilibrium isotherm, was not suitable for use in the diffusional mass transport model and the mass balance solid phase loading was utilised instead.

Adsorption↗

PubMed2003

Measurement of the diffusion of liquids into dental restorative resins by stray-field nuclear magnetic resonance imaging (STRAFI).

OBJECTIVES: The purpose of this investigation was to determine the diffusion mechanism for water/ethanol mixtures in a diacrylate dental resin by direct observation of the absorbed liquid profiles using NMR microimaging. METHODS: Frequency-swept stray-field magnetic resonance imaging (STRAFI) was used. Solutions containing 25-65% by volume ethanol remained in contact with visible light cured 54% TEGDMA: 46% modified TUDMA sheets while measurements were made. The diffusion profiles were recorded periodically for diffusion times up to 10 h, to a depth of 360 microm and with readings taken at 24 microm intervals. RESULTS: For all liquid mixtures, diffusion was found to be Fickian with coefficients that increased progressively and smoothly with alcohol content in the diffusing mixture, from 2.4 x 10(-13) to 150 x 10(-13) m2 s(-1). A rule of mixtures approach, as suggested by Kwei and Zupko, gave a satisfactory description of the ethanol fraction dependence of the diffusivity. SIGNIFICANCE: Frequency-swept STRAFI offers a new and unique opportunity to produce spatially resolved measurements of the liquids in dental resins to high resolution. In this study, absorption was investigated since an understanding of its mechanism is fundamental to limiting consequent environmental degradation. STRAFI has great potential for other applications, for example drying, liquid exchange, etc. Since STRAFI can discriminate 1H in the liquid from those in softened polymer additional applications are envisaged.

Acrylic Resins↗

PubMedDate not supplied

Changes in oxygen diffusive conductances of human placentae during gestation (10-41 weeks) are commensurate with the gain in fetal weight.

Evidence is adduced that the oxygen diffusive conductance of the human placenta increases during gestation. Results are based on placentae from 10 weeks to term. The diffusion pathway is analysed as six discrete tissue compartments arranged in series. Stereological and physicochemical data are used to determine partial, total and specific diffusive conductances for each organ and for its tissue compartments. During gestation, maternal and fetal vascular spaces became more voluminous and exchange surface areas of villi and capillaries expanded. Both were manifestations of placental growth and development. Maturation of villi was evident as decreases in effective diffusion distances across the trophoblast and villous stroma. These alterations contributed to improvements in partial and total conductances which continued towards term. Changes within the trophoblast and stroma were particularly influential in determining total conductance. Those on maternal and fetal sides of the diffusion pathway were less important. The rise in total conductance was related directly to the rise in fetal weight. Specific diffusive conductance was constant throughout gestation.

Diffusion↗

PubMedDate not supplied

Placental anatomy and diffusing capacity in guinea pigs following long-term maternal hypoxia.

To determine the relation of placental structure to placental diffusing capacity (DPCO), we exposed Hartley guinea pigs to 12 or 14 per cent O2 from day 15 of gestation to near term (64 days). At that time we measured DPCO and fetal body and placental weights. In addition, we used stereological techniques to measure placental parameters important to diffusing capacity. We also used a mathematical model with results from the stereological measurements to predict the diffusing capacity. In the first hypoxic group (E1), measured DPCO decreased 10.1 +/- 3.7 per cent, while that predicted was 2.4 per cent less than control. Total vascular volume decreased 6.6 +/- 3.6 per cent, while tissue volume and mean diffusion distance increased 10.2 +/- 5.6 per cent and 12.9 +/- 7.0 per cent, respectively. In the pair-fed animals, measured DPCO decreased 22.6 +/- 4.6 per cent, while that predicted was 20.0 per cent less than control. There were no significant stereological differences in this group. In the second (E2) hypoxic group, measured DPCO increased 27.2 +/- 7.4 per cent, while that predicted increased 38.2 per cent. For this same group, total vascular volume increased 11.7 +/- 3.0 per cent, and tissue volume and mean diffusion distance decreased 18.2 +/- 4.6 per cent and 17.8 +/- 3.8 per cent, respectively. These results demonstrate the dependence of placental diffusing capacity upon placental structure.

Animals↗

PubMedDate not supplied

Microscopical morphology of the human placenta and its effects on oxygen diffusion: a morphometric model.

A combination of stereological and physicochemical data was used to estimate the oxygen-diffusing capacity of the human term placenta. The effects on this morphometric diffusing capacity of isolated changes in placental structure were investigated by permitting volumes, surface areas and harmonic mean diffusion distances to deviate from normal baseline (term) values. Diffusion performance could be monitored effectively by estimating only three structural quantities. The most influential variable was the harmonic mean thickness of the villous membrane followed by the surface areas of villi and of fetal capillaries. Blood space volumes and plasma diffusion distances had negligible effects on diffusing capacity. Conclusions are discussed in the context of published findings on changes in placental anatomy which occur during gestation, abnormal pregnancies and pregnancies at high altitude.

Chorionic Villi↗

PubMed2006

[Cerebral arterial infarction and diffusion tensor imaging].

PURPOSE: Diffusion-weighted imaging (3 directions) and diffusion tensor imaging (9 directions) were compared for their sensitivity to detect ischemic lesion. MATERIALS AND METHODS: 41 patients (18 supposed transient ischemic attacks, 23 arterial stroke, MRI<or=48h) presenting with stroke syndrome were imaged using two diffusion sequences (3 directions, 2 excitations, acquisition time: 40 seconds and 9 directions, 1 excitation, acquisition time: 50 seconds, other parameters being identical). The following variables were compared (Wilcoxon test): number and extent of lesions, MRI signal and absolute ADC values, relative signal intensity and ADC ratio. Fractional anisotropy was measured within the principal lesion on the 9 directions sequence. RESULTS: 24 patients presented a lesion on both sequences. Four of them (including one TIA) had more lesions (<5 mm) on the 9 directions sequence than on the 3 directions sequence. Both sequences were normal for the 17 remaining patients (TIA=4, differential diagnosis=7, indeterminate=6). No significant difference was found for the other study parameters between 3 vs 9 directions sequences. There was a 10% decrease of the mean fractional anisotropy in ischemic lesion. CONCLUSION: By showing more lesions than standard diffusion-weighted imaging and providing quantitative anisotropy measurements, diffusion tensor imaging could replace the standard 3 directions diffusion-weighted sequence.

Adult↗

PubMed2001

Effect of therapeutic ultrasound on partition and diffusion coefficients in human stratum corneum.

Application of various enhancers including ultrasound and chemicals has been shown to enhance transdermal drug transport. Most of these enhancers increase transdermal transport by increasing either partition or diffusion coefficients in lipid bilayers. Although the effect of such enhancers on skin permeability has been measured in many cases, the effect of the same enhancers on solute partition and diffusion coefficients has not been measured since such measurements are difficult. In this paper, we describe application of a new method that can be used to determine the effect of enhancers on partition and diffusion coefficients. This method is based on two independent measurements of the transport properties of the SC and a theoretical model. This method was tested for five solutes including estradiol, napthol, aldosterone, lidocaine, and testosterone. Measurements based on our method showed that the primary effect of therapeutic ultrasound (1 MHz) is on diffusion coefficient and not partition coefficient. Specifically, ultrasound enhanced diffusion coefficients of these solutes by up to 15-fold. However, it did not significantly enhance partition coefficients. The method described in this paper is quite general and can be used to measure the effect of various enhancers on partition and diffusion coefficients.

Algorithms↗

PubMed2003

W/O/W double emulsion technique using ethyl acetate as organic solvent: effects of its diffusion rate on the characteristics of microparticles.

Monomethoxypoly(ethylene glycol)-b-poly(DL-lactide) copolymer (PELA) microparticles loading lysozyme were prepared through a modified W/O/W double emulsion-solvent diffusion method using ethyl acetate (EA) as organic solvent. The modified process was divided into five steps: (1) primary emulsification (W1/O), (2) re-emulsification (W1/O/W2), (3) pre-solidification, (4) solidification and (5) purification. The pre-solidification step was carried out in the modified process to control the diffusion rate of EA from oil phase into outer aqueous phase, in order to prevent the wall polymer from precipitation, which usually occurred when the diffusion rate was too fast. The adequately rapid solidification of microparticle caused by controlled fast diffusion of EA and the use of amphiphilic copolymer PELA as wall material, facilitated a high protein entrapment (always above 94%) and full preservation of bioactivity of entrapped lysozyme. It was found that the volume of the outer aqueous phase in the re-emulsification step and the shear stress in the pre-solidification step had a significant effect on the diffusion rate of EA from the droplets into outer aqueous solution, and thereby on the characteristics of the resultant microparticles. With the volume or the shear stress increasing, the removal rate of EA increased, resulting in rapid solidification of the microparticles. This result led to a lower burst effect and a slower lysozyme release from the microparticles. This study suggests that the modified W/O/W double emulsion-solvent diffusion method with EA as organic solvent is a prospective technique to prepare biodegradable microparticles containing water-soluble sensitive agents.

Acetates↗

PubMed1998

Factors influencing the diffusion-controlled release of papaverine from poly (L-lactic acid) matrix.

Effects of drug content and medium pH on the release of papaverine (PAP) from biodegradable poly(l-lactic acid) [P(L)LA] matrix were investigated to reveal the predominant factors affecting the two-stage diffusion-controlled release mechanism. A drug-dissolved cylindrical matrix (rod; 10 mmx1 mm diameter) was prepared by heat compression method. In the case of a PAP content below 10%, pH was found to have a strong effect on the release rate, and drug content was found to have no effect on the release profile. The release profile consisted of two sequential diffusion stages due to P(L)LA transformation from amorphous to the semicrystalline state prior to release. In the first release stage PAP diffused through the swollen matrix. The release accelerated with increasing medium pH due to an increase in water content in the acidic P(L)LA rod. In the second release stage PAP diffused through the water-filled micropores developed as a result of the polymer crystallization. On the assumption that the drug partition between the polymer and the medium in the micropores affects the diffusion and the partition is controlled by pH, we derived a modified diffusion kinetic equation. The observation that the release decelerated with increasing medium pH can be explained by the derived equation as resulting from the increase in the drug partition to the polymer. In the case where the rods contained more than 15% of PAP, the drug precipitated out as crystals during release. Accordingly, these rods showed a slower release.

Chemical Phenomena↗

PubMed1999

Drug and excipient diffusion and solubility in acrylate adhesives measured by infrared-attenuated total reflectance (IR-ATR) spectroscopy.

Infrared-attenuated total reflectance (IR-ATR) was used to measure drug and excipient diffusion in acrylate pressure-sensitive adhesives. The first part describes diffusion of drug and excipient from one adhesive layer to another. The IR-ATR spectrometer is used to continuously monitor the rate at which drug and excipient diffuse into the 'receptor' adhesive layer. In this way, the ability of the drug and/or excipient to leave an adhesive can be determined without any influence of receptor fluids or skin membranes. Data is reported here for terpineol and testosterone diffusion in isooctyl acrylate (IOA) and IOA-acrylic acid (AA) adhesives. It is shown that the diffusion rate is much higher in IOA adhesive than in IOA-AA adhesive. The second part describes the use of IR-ATR to measure the solubility of liquids in adhesives. In this method, a liquid excipient is placed in direct contact with an adhesive layer containing no excipient. The IR-ATR spectrometer is used to continuously monitor the rate at which excipient diffuses into the 'receptor' adhesive layer. At equilibrium, the IR spectrum can be compared to both the pure adhesive spectrum and the pure excipient spectrum to determine the solubility of the excipient in the adhesive. Data are reported here for terpineol in an IOA adhesive and for several liquids in an IOA-vinyl acetate adhesive.

Acrylates↗

PubMed2001

Diffusion mechanism of chloride ions in sodium montmorillonite.

For safety assessment of geological disposal of HLW, it is necessary to understand the diffusion mechanism of radionuclides in compacted bentonite. In this study, the diffusion behavior of chloride ions in compacted montmorillonite was studied from the viewpoints of the activation energy for apparent diffusion and the basal spacing of the compacted montmorillonite. A unique change in the activation energy as a function of the dry density of the montmorillonite was found. The activation energy decreased from 17.4 to 13.5 kJ mol-1 as the dry density increased from 0.7 to 1.0 Mg m-3 and increased to 25.1 kJ mol-1 at dry densities above 1.0 Mg m-3. The basal spacing of 1.88 nm, corresponding to the three-water layer hydrate state, was not observed by X-ray diffraction (XRD) until the dry density increased to 1.0 Mg m-3, where the minimum activation energy was obtained. On the other hand, a basal spacing of 1.56 nm, corresponding to the two-water layer hydrate state, was observed at the dry densities of 1.4 Mg m-3 and above, where the activation energies were more than 22 kJ mol-1. These experimental results suggest that there are at least two additional diffusion processes that can raise or reduce the activation energy and are affected by water in the region adjacent to the montmorillonite surfaces. If the "Grahame model" can be introduced to describe the electrical double layer, surface diffusion will be considered the possible predominant diffusion process, even for anions like chloride ions.

Anions↗

PubMed2002

A laboratory technique for investigation of diffusion and transformation of volatile organic compounds in low permeability media.

A laboratory diffusion cell technique that permits spatial and temporal estimates of porewater concentrations over short intervals suitable for estimation of effective diffusion coefficients (De) and degradation rate constants (k) of volatile organic compounds (VOCs) in saturated low permeability media is presented. The diffusion cell is a sealed cylinder containing vapour reservoirs for sampling, including a vapour reservoir source and an array of vapour-filled "mini-boreholes", which are maintained water- and sediment-free by slightly negative porewater pressures. The vapour reservoirs were sampled by Solid Phase Micro-Extraction (SPME), resulting in minimal disturbance to the experimental system. Porewater concentrations are estimated from the measured vapour concentrations. Experiments were conducted using a non-reactive medium and five VOCs with a range in partitioning properties. Calibration experiments showed that equilibrium partition coefficients could be used for calculating concentrations in the vapour reservoir source from concentrations in the SPME coating after a 1-min microextraction and that the reservoir concentration was insignificantly affected by sampling. However, equilibrium was not reached during the one-min extraction of the boreholes; the microextraction reduced the borehole vapour concentrations, leading to diffusion of VOCs from porewater into the vapour-filled borehole. Thus, empirical partitioning coefficients were required for the determination of porewater VOC concentrations. The experimental data and numerical modelling indicate masses extracted by SPME extraction are relatively small, with minimal perturbation on processes studied in diffusion experiments. This technique shows promise for laboratory investigation of diffusion and transformation processes in low permeability media.

Carbon Disulfide↗

PubMed2003

Interpretation of out-diffusion experiments on crystalline rocks using random walk modeling.

Matrix diffusion in saturated rocks with very low permeability is one of the major mechanisms of solute transport. Laboratory out-diffusion experiments on rock samples may provide an estimate of the bulk diffusion coefficient. However, numerous results have shown that this average parameter does not really depict the complex mechanism of diffusion as a function of the internal heterogeneity of crystalline rocks. Two-dimensional images of the porosity distribution in a granite sample were obtained by impregnation with a radioactive resin and autoradiography. Some examples based on these images and synthetic images were used to perform numerical simulations of out-diffusion using two different random walk methods. The simulated shapes of the out-diffusion curves depend on the spatial distribution of the porosity and on the pore connectivity with the border of the sample. Such relations might explain the multiple nested slopes or the convex shapes often observed on real experimental curves.

Diffusion↗

PubMed2003

Modeling diffusion and adsorption in compacted bentonite: a critical review.

The current way of describing diffusive transport through compacted clays is a simple diffusion model coupled to a linear adsorption coefficient (K(d)). To fit the observed results of cation diffusion, this model is usually extended with an adjustable "surface diffusion" coefficient. Description of the negative adsorption of anions calls for a further adjustment through the use of an "effective porosity". The final model thus includes many fitting parameters. This is inconvenient where predictive modeling is called for (e.g., for waste confinement using compacted clay liners). The diffusion/adsorption models in current use have been derived from the common hydrogeological equation of advection/dispersion/adsorption. However, certain simplifications were also borrowed without questioning their applicability to the case of compacted clays. Among these simplifications, the assumption that the volume of the adsorbed phase is negligible should be discussed. We propose a modified diffusion/adsorption model that accounts for the volume of the adsorbed phase. It suggests that diffusion through highly compacted clay takes place through the interlayers (i.e., in the adsorbed phase). Quantitative prediction of the diffusive flux will necessitate more detailed descriptions of surface reactivity and of the mobility of interlayer species.

Adsorption↗

PubMed2004

Use of X-ray absorption imaging to examine heterogeneous diffusion in fractured crystalline rocks.

Heterogeneous diffusion in different regions of a fractured granodiorite from Japan has been observed and measured through the use of X-ray absorption imaging. These regions include gouge-filled fractures, recrystallized fracture-filling material and hydrothermally altered matrix. With the X-ray absorption imaging technique, porosity, relative concentration, and relative mass of an iodine tracer were imaged in two dimensions with a sub-millimeter pixel size. Because portions of the samples analyzed have relatively low porosity values, imaging errors can potentially impact the results. For this reason, efforts were made to better understand and quantify this error. Based on the X-ray data, pore diffusion coefficients (Dp) for the different regions were estimated assuming a single diffusion rate and a lognormal multirate distribution of Dp. Results show Dp for the gouge-filled fractures are over an order of magnitude greater than those of the recrystallized fracture-filling material, which in turn is approximately two times greater than those for the altered matrix. The recrystallized fracture-filling material was found to exhibit the greatest degree of variability. The results of these experiments also provide evidence that diffusion from advective zones in fractures through the gouge-filled fractures and recrystallized fracture-filling material could increase the pore space available for matrix diffusion. This evidence is important for understanding the performance of potential nuclear waste repositories in crystalline rocks as diffusion is thought to be an important retardation mechanism for radionuclides.

Absorptiometry, Photon↗

PubMed2003

Diffusion and partition of solutes in cartilage under static load.

We describe experimental apparatus, methodology and mathematical algorithms to measure diffusion and partition for typical small ionic solutes and inulin (a medium size solute) in statically loaded cartilage. The partition coefficient based on tissue water (K(H(2)O)) of Na(+) increased from 1.8 to 4.5 and for SO(4)(-2) decreased from 0.5 to 0.1, when the applied pressure was raised from zero to 22 atm K(H(2)O) of inulin decreased from 0.3 to 0.05, for an increase in pressure from zero to 11 atm. Our theoretical interpretation of the results is that the partition coefficient can be expressed as a function of fixed charge density (FCD) for both loaded and unloaded cartilage. The partition coefficient shows good agreement with the ideal Gibbs-Donnan equilibrium, particularly when FCD is based on extrafibrillar water (EFW). The diffusion coefficients, D also decreased with an increase in applied pressure; raising the pressure from 0 to 22 atm resulted in the following changes in the values of D: for Na(+) from 2.86 x 10(-6) to 1.51 x 10(-6) cm(2)/s, for SO(4)(-2) from 1.58 x 10(-6) to 7.5 x 10(-7) cm(2)/s, for leucine from 1.69 x 10(-6) to 8.30 x 10(-7) cm(2)/s and for inulin from 1.80 x 10(-7) to 3.30 x 10(-8) cm(2)/s. For the three small solutes (two charged and one neutral) the diffusion coefficient D is highly correlated with the fraction of fluid volume in the tissue. These experimental results show good agreement with the simple model of Mackie and Meares: hence solute charge does not affect the diffusion of small solutes under load. For inulin D & K show some agreement with a modified Ogston model based on two major components, viz., glycosaminoglycans (GAG) and core protein. We conclude that the changes in the partition and diffusion coefficients of small and medium size solutes in statically loaded cartilage can be interpreted as being due to the reduction in hydration and increase in FCD. The change in the latter affects the partition of small ionic solutes and the partition and diffusion of larger molecules. Our results throw light on the ionic environment of chondrocytes in loaded cartilage as well as on the transport of solutes through the matrix.

Adult↗

PubMed1997

A two-dimensional compartment model for the reaction-diffusion system of acetylcholine in the synaptic cleft at the neuromuscular junction.

A minimal compartment model of the reaction-diffusion system (RD system) of a neurotransmitter in a two-dimensional space of axis-symmetrical disc is proposed to represent the chemical transmission process of a quantum of acetylcholine (ACh) in the synaptic cleft at the neuromuscular junction. The behavior of the RD system for ACh is expressed by a two-dimensional diffusion equation with nonlinear reaction terms due to the rate processes for ACh receptor and acetylcholinesterase. The simulation analysis of the RD system reveals that the radial diffusion process of ACh has more distinctive effects on spontaneous generation of the miniature endplate current (MEPC) than the transverse process. The anisotropic diffusion is effective in the RD system since the diffusion coefficient of ACh in the radial direction is evaluated to be about 1.0 x 10(-6) cm2 sec-1 for appropriate characterization of the MEPC, on which the diffusion coefficient in the transverse direction larger than 2.0 x 10(-6) cm2 sec-1 has virtually no effects. The compartment model is thus appropriately constructed to comprise three elements on the transverse coordinate and ten elements on the radial coordinate in the disc with 500 nm of radius and 50 nm of height.

Acetylcholine↗