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Quantification of bioluminescence images of point source objects using diffusion theory models.

A simple approach for estimating the location and power of a bioluminescent point source inside tissue is reported. The strategy consists of using a diffuse reflectance image at the emission wavelength to determine the optical properties of the tissue. Following this, bioluminescence images are modelled using a single point source and the optical properties from the reflectance image, and the depth and power are iteratively adjusted to find the best agreement with the experimental image. The forward models for light propagation are based on the diffusion approximation, with appropriate boundary conditions. The method was tested using Monte Carlo simulations, Intralipid tissue-simulating phantoms and ex vivo chicken muscle. Monte Carlo data showed that depth could be recovered within 6% for depth 4-12 mm, and the corresponding relative source power within 12%. In Intralipid, the depth could be estimated within 8% for depth 4-12 mm, and the relative source power, within 20%. For ex vivo tissue samples, source depths of 4.5 and 10 mm and their relative powers were correctly identified.

Algorithms↗

Effects of Tween 80 and liposomes on the corneal permeability of anti-inflammatory steroids.

The effects of Tween 80 and liposomes on the corneal permeability of dexamethasone (DM) and dexamethasone valerate (DV) were investigated in vitro. A model based on diffusion theory could successfully be applied to analyzing the process by which DM penetrates the cornea from DM preparations. The penetration rate increased according to the concentration of free DM. Although the penetration rate was increased by pretreatment with Tween 80, it was not affected by pretreatment with liposomes. The steroid that penetrated through the cornea from DV preparations had been metabolized to DM. The transfer of DM across the cornea from DV preparations tended to slow down to some extent during the penetration process. Diffusion models were not applicable to this process, in contrast to the corneal penetration of DM from DM preparations. When liposome preparations of DV were applied, the penetration rate of DM across the cornea depended the concentration of free DV in these preparations. When DV aqueous preparations containing different concentrations of Tween 80 were applied, the penetration rate increased as the concentration of the surfactant was increased, even though the concentration of free DV in the suspensions was kept constant. These results suggest that the corneal permeability of anti-inflammatory steroids is not affected by liposomes, but is accelerated by Tween 80.

Animals↗

Kinetic studies of adsorption of Pb(II), Cr(III) and Cu(II) from aqueous solution by sawdust and modified peanut husk.

Sawdust and modified peanut husk were used as adsorbents to remove Pb(II), Cr(III) and Cu(II) from aqueous solution. Results of kinetic experiments demonstrated that the adsorption was effective and rapid. Three different kinds of kinetic models (i.e., intraparticular diffusion model, Lagergren-first-order and second-order equations) were used to investigate the adsorption mechanisms. The adsorption of heavy metals on sawdust and modified peanut husk is not an intraparticular diffusion control. The kinetic adsorption data can be described by the second-order equation and the adsorption might be a rate-limiting control. The suitability of the adsorbent was tested by fitting the adsorption data with Langmuir and Freundlich isotherms, which gave good fits with both isotherms.

Adsorption↗

Sarcolemmal calcium binding sites in heart: II. Mathematical model for diffusion of calcium released from the sarcoplasmic reticulum into the diadic region.

We present a model for predicting the temporal and spatial dependence of [Ca] in the cardiac subsarcolemmal diadic region (cleft), following Ca release from the "feet" of the sarcoplasmic reticulum. This region is modeled as a disc 10 nm thick, 430 nm in radius, with or without Ca binding sites and open at its periphery to the cytosol. [Ca] is computed for three diffusion coefficients (100, 20 and 4% of aqueous diffusion), following release of a 20-msec square pulse sufficient to produce 50% maximal contractile force, or repetitive release (400/min) of such pulses. Numerical solutions are obtained for the general diffusion/binding problem and analytic solutions for the case of no binding sites. For the middle value of diffusion coefficient, and in the absence of binding sites, [Ca] rises to approximately 1.5 mM in 20-msec and then falls to approximately 0.1 microM in less than 3 msec. Adding binding sites reduces peak [Ca] to approximately 0.6 mM but prolongs its decline, requiring approximately 200 msec to reach 20 microM. For repetitive release [Ca] is greater than 100 microM for roughly half of each cycle. Two major implications of the predicted [Ca] are: (i) The effect of Ca binding sites on [Ca] will cause Ca efflux from the cleft via the Na-Ca exchanger (Km(Ca) approximately 20 microM) to continue at a significant level for greater than 200 msec. (ii) The time constant for inactivation of release from the "feet" must be much greater than for activation if Ca-induced Ca release is to continue for greater than 1-2 msec.

Animals↗

Rotational correlation times of 3-carbamoyl-2,2,5,5-tetramethyl-3-pyrrolin-1-yloxy spin label with respect to heme and nonheme proteins.

Noncovalent spin labeled proteins (ovalbumin, bovine serum albumin, hemoglobin, and cytochrome c) were investigated in order to follow the different type of interactions between the nitroxide radical of 3-carbamoyl-2,2,5,5-tetramethyl-3-pyrrolin-1-yloxy spin label and functional groups of heme and nonheme proteins as well as the pH influence on molecular motion of the label with respect to these proteins. EPR spectra were recorded at room temperature and the computer simulation analysis of spectra was made in order to obtain the magnetic parameters. Noncovalent labeling of proteins can give valuable information on the magnetic interaction between the label molecule and the paramagnetic center of the proteins. The relevance of this interaction can be obtained from line shape analysis: computer simulations for nonheme proteins assume a Gaussian line shape, whereas for heme proteins, a weighted sum of Lorentzian and Gaussian components is assumed. In the framework of the "moderate jump diffusion" model for rotational diffusion, the rotational correlation time is strongly influenced by pH, because of the electrostatic interactions and hydrogen bonding.

Cyclic N-Oxides↗

Predicting gas transport in formed zeolite adsorbents from NMR studies.

The self-diffusion of nitrogen, methane, and carbon monoxide within a 5A zeolitic adsorbent has been examined with use of pulsed field gradient (PFG) NMR. In all cases, the diffusion process is well-described by a refined version of the long-range diffusion model (LRDM), adapted here for use with pelletized adsorbents, which uses exclusively adsorbent porosity and isotherm data as inputs. Correlation of the experimental data with this model yields tortuosity factors that are characteristic of the adsorbate and reflect the longer diffusive path a molecule must take due to the winding nature of the pore structure. It is demonstrated that the diffusion model can be used to accurately predict the diffusion coefficients for a ternary gas mixture within a 5A zeolite. To fully characterize the diffusive process, the surface excess on the PFG NMR samples has been obtained by a novel gas-phase NMR technique that is well-suited for measuring pure and multicomponent isotherms.

Journal Article↗

Forty years of diffusion of innovations: utility and value in public health.

This special issue is created to mark the 40th anniversary of Everett Rogers' Diffusion of Innovations (DOI) model. Diffusion is the process through which an innovation, defined as an idea perceived as new, spreads via certain communication channels over time among the members of a particular social system. A great deal of research in a variety of academic disciplines (about 5000 published studies so far) has been conducted on the diffusion of innovations over the past six decades. The areas of application for these studies range from hybrid seed corn to modern math, to the snowmobile to antibiotic drugs, to HIV/AIDS prevention (Rogers, 1995). These investigations have led to a general model of the diffusion of innovations, which can be applied to the recent spread of the Internet or to any other new idea. Everett Roger's ground-breaking model has contributed to a greater understanding of behavioral change, including the variation in rates of adoption of innovations, and it has held a broad scope of practical applications in the field of public health.

Communication↗

Tobacco cessation skills certification in Arizona: application of a state wide, community based model for diffusion of evidence based practice guidelines.

OBJECTIVE: To describe the development and preliminary results from a community based certification model for training in tobacco cessation skills in Arizona. DESIGN: A programme evaluation using both quantitative pre-post measures and qualitative methods. SETTING: Arizona's comprehensive tobacco control programme of state funded, community based local projects and their community partners providing tobacco treatment services for geographically, socioeconomically, and ethnically diverse communities. INTERVENTION: A three tiered model of skills based training emphasising Agency for Health Care Policy and Research guidelines, and utilising a training of trainers approach to build community capacity. Certification roles addressed basic tobacco cessation skills, tobacco cessation specialist, and tobacco treatment services manager. PARTICIPANTS: Initial target audience was community based local project personnel and their community partners, with later adoption by community organisations unaffiliated with local projects, and the general public. MAIN EVALUATION MEASURES: Process measures: participant satisfaction, knowledge, skills, and self-efficacy. OUTCOME: participant demographics, community organisations represented, post-training, cessation related activities. RESULTS: During the model's implementation year, 1075 participants attended certification training, 947 participants received basic skills certificates and 82 received specialist certificates. Pre, post, and three month measures of self efficacy showed significant and durable increases. Analysis of participant characteristics demonstrated broad community representation. At post-training follow up, 80.9% of basic skills trainees had performed at least one brief intervention and 74.8% had made a referral to intensive services. Among cessation specialists, 48.8% were delivering intensive services and 69.5% were teaching basic skills classes. CONCLUSIONS: Initial experience with Arizona's state wide, community based model for certification of tobacco cessation skills training suggests this model may be a promising method for broad, population based diffusion of evidence based tobacco cessation guidelines.

Humans↗

Dynamics of polymerization in polyacrylamide gel (PAG) dosimeters: (II) modeling oxygen diffusion.

Oxygen contamination of a polyacrylamide gel (PAG) dosimeter can have a significant detrimental effect upon the performance characteristics of the gel as a dosimeter. Oxygen contamination can occur during preparation, but can also arise from the diffusion of atmospheric oxygen through vessel walls. Even 'trace' amounts of oxygen present in any gaseous space (usually nitrogen filled) between the surface of the PAG and the vessel seal can have a detectable effect. This paper describes a method used to quantify the detrimental effects of a range of oxygen concentrations upon the performance of the PAG. The results of diffusion studies for air and pure oxygen diffusing into the PAG over time are presented and coupled with a novel method of calculating oxygen concentrations in the PAG. Results obtained suggest that the diffusion is Fickian. The coefficient of diffusion D has been calculated to be (8+/-2) x 10(-6) cm2 s(-1) for oxygen diffusing into PAG stored at 4 degrees C, under the assumption that the diffusion mechanism is independent of the concentration of the diffusing species. In addition, a quantitative relation has been established between the transverse relaxation rate R2 of the PAG and the concentration of oxygen present. The implications of these findings for polymer gel dosimetry are discussed.

Acrylic Resins↗

Detrimental role of bradykinin B2 receptor in a murine model of diffuse brain injury.

Inhibition of the bradykinin B2 receptor type (B2R) has been shown to improve neurological outcome in models of focal traumatic brain injury. However, the involvement of B2R in trauma-induced diffuse injury has not yet been explored. This is an important point, since in humans a pattern of diffuse injury is commonly found in severely injured patients and has been associated with a poor neurological outcome and prognosis. Using the non-peptide B2R antagonist LF 16-0687 Ms and B2R null (B2R-/-) mice, we investigated the role of B2R in a model of closed head trauma (CHT). LF 16-0687 Ms given 30 min after injury reduced the neurological deficit by 26% and the cerebral edema by 22% when evaluated 4 h after CHT. Neurological function after CHT was improved in B2R-/- mice compared to B2R+/+ mice, although there was no difference in the development of brain edema. Treatment with LF 16-0687 Ms and B(2)R gene deletion decreased the accumulation of neutrophils at 24 h after CHT (50% and 36%, respectively). In addition, the inducible NO synthase (iNOS) mRNA level increased markedly, and this was reduced by LF 16-0687 Ms. Taken together, these data support a detrimental role of B2R in the development of the neurological deficit and of the inflammatory secondary damage resulting from diffuse traumatic brain injury. Therefore, blockade of bradykinin B2 receptors might represent an attractive therapeutic approach in the pharmacological treatment of traumatic brain injury.

Animals↗

Dynamic compartmentalization of bacteria: accurate division in E. coli.

Positioning of the midcell division plane within the bacterium E. coli is controlled by the min system of proteins: MinC, MinD, and MinE. These proteins coherently oscillate from end to end of the bacterium. We present a reaction-diffusion model describing the diffusion of min proteins along the bacterium and their transfer between the cytoplasmic membrane and cytoplasm. Our model spontaneously generates protein oscillations in good agreement with experiments. We explore the oscillation stability, frequency, and wavelength as a function of protein concentration and bacterial length.

Adenosine Triphosphatases↗

Topical vaginal drug delivery I: effect of the estrous cycle on vaginal membrane permeability and diffusivity of vidarabine in mice.

Preliminary studies showed that the vaginal membrane permeability coefficients for vidarabine (9-beta-D-arabinofuranosyladenine) varied widely within a group of mice of the same species and age. This finding prompted an investigation of the influence of the female mouse sexual cycle on the vidarabine permeability. By means of a vaginal smear technique, the sexual cycle, which was approximately 5 days in duration, was divided into five phases. The vaginal membrane permeability of vidarabine was determined during each phase. The results revealed that the permeability coefficients for vidarabine during the diestrus phase (3 X 10(-6)-4 X 10(-5) cm/sec) were 10-100 times higher than those obtained at the early estrus or estrus phases (1-3 X 10(-7) cm/sec). Further permeation studies on membranes at early estrus and estrus were performed by separating the cornified layer from the noncornified portion of the membrane. The low permeability coefficient of vidarabine across the cornified layer (4 X 10(-7) cm/sec) suggests that this layer may be the major diffusion barrier for vidarabine when the drug is topically applied. Collectively, the data also suggest that during estrus a three-layer diffusion model is appropriate, that during early diestrus a single-layer diffusion model may apply, and that during proestrus and postestrus the situations are intermediate and more complicated.

Animals↗

Removal of dieldrin from aqueous solution by a novel triolein-embedded composite adsorbent.

In this study, a novel triolein-embedded activated carbon composite adsorbent (CA-T) was prepared and applied for the adsorption and removal of dieldrin from aqueous systems. Experiments were carried out to investigate the adsorption behavior of dieldrin on CA-T, including adsorption isotherms, adsorption kinetics, the influence of initial concentration, temperature, shaking speed, pH and the addition of humic acid (HA) on adsorption. The adsorption isotherms accorded with Freundlich equation. Three kinetics models, including pseudo-first-order, pseudo-second-order and intraparticle diffusion models, were used to fit the experimental data. By comparing the correlation coefficients, it was found that both pseudo-second-order and intraparticle diffusion models were used to well describe the adsorption of dieldrin on CA-T. The addition of HA had little effect on dieldrin adsorption by CA-T. Results indicated that CA-T appeared to be a promising adsorbent for removing lipophilic dieldrin in trace amount, which was advantageous over pure granular activated carbon (GAC). The adsorption rate increased with increasing shaking speed, initial concentration and temperature, and remained almost unchanged in the pH range of 4-8. Thermodynamic calculations indicated that the adsorption reaction was spontaneous with a high affinity and the adsorption was an endothermic reaction.

Adsorption↗

Using a spreadsheet to compute contaminant exposure concentrations given a variable emission rate.

Two key elements of mathematical exposure models are the contaminant's emission rate and pattern of dispersion in room air. Assuming that the mass emission rate is constant and room air is perfectly mixed affords relative mathematical simplicity. However, treating a highly variable emission rate as constant underestimates peak exposure intensity, which may be toxicologically important, and assuming a well-mixed condition underestimates exposure intensity near the source. In the past decade multizone models and turbulent diffusion models have been used to account for spatial variability in airborne concentrations, and variable emission rate functions have been described for different processes. Due to the greater complexity of these models, closed-form equations for concentration as a function of time may not be available. This article presents a numerical method that combines a variable contaminant emission rate function with the three dispersion constructs most commonly used by industrial hygienists-the well-mixed room, the near field/far field, and hemispherical turbulent eddy diffusion. The article describes how the numerical method is implemented by a computer spreadsheet program, and illustrates the method using a sinusoidal contaminant emission rate function.

Air Pollution, Indoor↗