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Computed pore potentials of the nicotinic acetylcholine receptor.

Electrostatic surface potentials in the vestibule of the nicotinic acetylcholine receptor (nAChR) were computed from structural models using the University of Houston Brownian Dynamics program to determine their effect on ion conduction and ionic selectivity. To further determine whether computed potentials accurately reflect the electrostatic environment of the channel, the potentials were used to predict the rate constants for diffusion-enhanced fluorescence energy transfer; the calculated energy transfer rates are directly comparable with those determined experimentally (see companion article by Meltzer et al. in this issue). To include any effects on the local potentials by the bound acceptor fluorophore crystal violet, its binding site was first localized within the pore by fluorescence energy transfer measurements from dansyl-C6-choline bound to the agonist sites and also by simulations of binding using Autodock. To compare the computed potentials with those determined experimentally, we used the predicted energy transfer rates from Tb3+ chelates of varying charge to calculate an expected potential using the Boltzmann relationship. This expected potential (from -20 to -40 mV) overestimates the values determined experimentally (from -10 to -25 mV) by two- to fourfold at similar conditions of ionic strength. Although the results indicate a basic discrepancy between experimental and computed surface potentials, both methods demonstrate that the vestibular potential has a relatively small effect on conduction and selectivity.

Cell Membrane↗

Modelling intracellular fatty acid transport: possible mechanistic role of cytoplasmic fatty acid-binding protein.

A computer model is presented in which the role of cytoplasmic fatty acid-binding protein (FABP) in the intracellular translocation of fatty acids (FA) from one membrane to an opposite membrane is studied. The model consists of a cubical space, in which FABP and FA are allowed to diffuse at random. The amount of FA released from the donor membrane and reaching an opposite acceptor membrane is calculated in a variety of conditions. The data provided by the various simulations suggest that FABP can play a significant role in intracellular FA transport only if FABP is able to take up FA directly from FA containing membranes and to directly deliver FA to an acceptor membrane, thus preventing the unfavourable thermodynamical situation in which FA must solubilize in an aqueous environment prior to binding to FABP.

Biological Transport↗

An in vitro model for chemical extraction of carbon dioxide via modified peritoneal dialysis.

An in vitro model of a new method for paracorporeal removal of CO2, consisting of modified peritoneal dialysis combined with chemical extraction of predominantly bicarbonate CO2, is presented. The peritoneal cavity was simulated by a bubble oxygenator into which 10% CO2 was diffused. Bicarbonate was initially added, but subsequently regenerated by the system. An insoluble chemical (barium hydroxide lime) was used to precipitate the bicarbonate and produce OH- ions, which prevent the acidosis anticipated with the loss of bicarbonate. CO2 removal was computed from the gas flow rate and CO2 concentration as measured with an infrared analyzer. The rate of CO2 removal was found to be a directly linear function of dialysate flow rate, gas flow rate, and concentration of bicarbonate. The model removed 60 ml/min of CO2, but it is capable of removing more, since the variables affecting CO2 removal are controllable by the observer. This new method can extract bicarbonate CO2 without causing depletion of bicarbonate or requiring an infusion of alkali. It is potentially useful in management of hypercapnic respiratory failure and as an adjunct to "apneic oxygenation" in respiratory distress syndrome.

Bicarbonates↗

A theoretical model of oxygen delivery and metabolism for physiologic interpretation of quantitative cerebral blood flow and metabolic rate of oxygen.

The coupling of cerebral blood flow (CBF) and metabolic rate of oxygen (CMRO2) during physiologic and pathophysiologic conditions remains the subject of debate. In the present study, we have developed a theoretical model for oxygen delivery and metabolism, which describes the diffusion of oxygen at the capillary-tissue interface and the nonlinear nature of hemoglobin (Hb) affinity to oxygen, allowing a variation in simple-capillary oxygen diffusibility, termed "effective oxygen diffusibility (EOD)." The model was used to simulate the relationship between CBF and CMRO2, as well as oxygen extraction fraction (OEF), when various pathophysiologic conditions were assumed involving functional activation, ischemia, hypoxia, anemia, or hypo- and hyper-capnic CBF variations. The simulations revealed that, to maintain CMRO2 constant, a variation in CBF and Hb required active change in EOD. In contrast, unless the EOD change took place, the brain allowed small but significant nonlinear change in CMRO2 directly dependent upon oxygen delivery. Application of the present model to quantitative neuroimaging of CBF and CMRO2 enables us to evaluate the biologic response at capillary level other than Hb- and flow-dependent properties of oxygen transport and may give us another insight regarding the physiologic control of oxygen delivery in the human brain.

Biological Transport↗

Saltatory waves in the spike-diffuse-spike model of active dendritic spines.

In this Letter we present the explicit construction of a saltatory traveling pulse of nonconstant profile in an idealized model of dendritic tissue. Excitable dendritic spine clusters, modeled with integrate-and-fire (IF) units, are connected to a passive dendritic cable at a discrete set of points. The saltatory nature of the wave is directly attributed to the breaking of translation symmetry in the cable. The conditions for propagation failure are presented as a function of cluster separation and IF threshold.

Animals↗

Numerical framework models of single proton conduction through gramicidin.

A framework model of single-proton conduction through gramicidin was previously designed to incorporate potentials of mean force and diffusion coefficients computed by the molecular dynamics simulations of Pom s and Roux (1). The resulting diffusion model was solved analytically using the lumped state approximation (LSA), allowing a detailed comparison to be made with conductance data from gramicidin A and two Trp--> Phe analogs (2). The comparison included a sensitivity analysis which required over 1 million current evaluations. A numerical method for constructing framework models is now introduced which involves finding the steady states of random walks using a trapezoid rule closely related to the rule for numerical integration. The method is described and then applied directly to the LSA. Convergence of the results to the analytical solution is seen as the number of random walk sites increase. The numerical method is then used to construct a more elaborate framework model which avoids the LSA. This is also in very good agreement with the analytical solution under the experimental conditions, confirming the accuracy of the LSA. The numerical method remains fast enough to allow an extensive comparison with conductance data.

Computer Simulation↗

Regulation of protrusion shape and adhesion to the substratum during chemotactic responses of mammalian carcinoma cells.

We report here the first direct observation of chemotaxis to EGF by rat mammary carcinoma cells. When exposed to a gradient of EGF diffusing from a micropipette, MTLn3 cells displayed typical ameboid chemotaxis, extending a lamellipod-like protrusion and moving toward the pipette. Using a homogeneous upshift in EGF to model stimulated lamellipod extension (J. E. Segall et al., 1996, Clin. Exp. Metastasis 14, 61-72), we analyzed the relationship between adhesion and chemoattractant-stimulated protrusion. Exposure to EGF led to a rapid remodeling of the adhesive contacts on adherent cells, in synchrony with extension of a flat lamellipod over the substratum. EGF-stimulated lamellipods still extended in the presence of adhesion-blocking peptides or over nonadhesive surfaces. They were, however, slightly shorter and retracted rapidly under those conditions. The major protrusive structure observed on well-spread, adherent cells, after EGF stimulation was a flat broad lamellipod, whether or not in contact with the substratum, while cells in suspension showed transient protrusive activity over the entire cell surface. We conclude that the initial adhesive status of the cell conditions the shape of the outcoming protrusion. Altogether our results suggest that, although adhesive contacts are not necessary for lamellipod extension, they play a role in stabilizing the protrusion as well as in the control of its final shape and amplitude.

Animals↗

An experimental in vitro model for dynamic direct exposure of human cells to airborne contaminants.

The aim of this study was to establish a dynamic in vitro model for direct exposure of human cells to gaseous contaminants to investigate the cellular responses to airborne chemical exposures. Nitrogen dioxide (NO2) was selected as a model gas compound. Standard test atmospheres were generated (2.5-10 ppm), using a dynamic direct dilution method. Human cells including: A549 pulmonary type II-like epithelial cell lines and skin fibroblasts were grown on porous membranes. Human cells on snapwell inserts were placed in horizontal diffusion chambers and exposed to various airborne concentrations of NO2 directly at the air/liquid interface for 1 h at 37 degrees C. Cytotoxicity of the test gas was investigated using the MTS (3-(4,5-dimethylthiazol-2-yl)-5-(3-carboxymethoxyphenyl)-2-(4-sulfophenyl)-2H-tetrazolium), NRU (neutral red uptake) and ATP (Adenosine triphosphate) assays. Dose-dependent effects of NO2 were observed in human cells tested which resulted in a significant reduction of cell viability at concentrations normally encountered in workplace environments (p<0.05). Our findings suggest that the dynamic direct exposure method can be used for in vitro inhalational and dermal toxicity studies and potentially as an advanced technology for biomonitoring of airborne contaminants in future occupational and environmental toxicity assessments.

Air Pollutants↗

Towards an acoustic model-based poroelastic imaging method: II. experimental investigation.

Soft biological tissue contains mobile fluid. The volume fraction of this fluid and the ease with which it may be displaced through the tissue could be of diagnostic significance and may also have consequences for the validity with which strain images can be interpreted according to the traditional idealizations of elastography. In a previous paper, under the assumption of frictionless boundary conditions, the spatio-temporal behavior of the strain field inside a compressed cylindrical poroelastic sample was predicted (Berry et al. 2006). In this current paper, experimental evidence is provided to confirm these predictions. Finite element modeling was first used to extend the previous predictions to allow for the existence of contact friction between the sample and the compressor plates. Elastographic techniques were then applied to image the time-evolution of the strain inside cylindrical samples of tofu (a suitable poroelastic material) during sustained unconfined compression. The observed experimental strain behavior was found to be consistent with the theoretical predictions. In particular, every sample studied confirmed that reduced values of radial strain advance with time from the curved cylindrical surface inwards towards the axis of symmetry. Furthermore, by fitting the predictions of an analytical model to a time sequence of strain images, parametric images of two quantities, each related to one or more of three poroelastic material constants were produced. The two parametric images depicted the Poisson's ratio (nu(s)) of the solid matrix and the product of the aggregate modulus (H(A)) of the solid matrix with the permeability (k) of the solid matrix to the pore fluid. The means of the pixel values in these images, nu(s) = 0.088 (standard deviation 0.023) and H(A)k = 1.449 (standard deviation 0.269) x 10(-7) m(2) s(-1), were in agreement with values derived from previously published data for tofu (Righetti et al. 2005). The results provide the first experimental detection of the fluid-flow-induced characteristic diffusion-like behavior of the strain in a compressed poroelastic material and allow parameters related to the above material constants to be determined. We conclude that it may eventually be possible to use strain data to detect and measure characteristics of diffusely distributed mobile fluid in tissue spaces that are too small to be imaged directly.

Acoustics↗

Heterogeneous matrix diffusion in crystalline rock--implications for geosphere retardation of migrating radionuclides.

As a basis for an analysis of the effect of rock heterogeneity on radionuclide migration in a single fracture, the geostatistics of the main properties governing solute transport in crystalline rock have been determined experimentally for two granitic rock types. The rock samples were collected at the Aspö Hard Rock Laboratory, Sweden and used to deduce the auto-covariance functions for the porosity, effective diffusivity and partition coefficient, kd, and adsorption kinetics. One-dimensional analytical solutions for the mean values of the temporal moments of the residence time probability density function (PDF) show that the heterogeneity of the rock properties can have a substantial impact on the transport. A case study of the effect of heterogeneity in matrix diffusion for a single fracture could be performed by decomposing the transport problem into a one-dimensional mass transfer problem and a two-dimensional flow problem using a Lagrangian method of description. Monte Carlo simulations of the flow field indicate that the correlation length of the aperture is much longer along the trajectory paths than along an arbitrary direction. Increasing the correlation lengths and variances of the aperture and matrix diffusion increases significantly the variance of the travel time PDF.

Diffusion↗

Mapping hydration water molecules in the HIV-1 protease/DMP323 complex in solution by NMR spectroscopy.

A tetrahedrally hydrogen-bonded structural water molecule, water 301, is seen in the crystal structure of nearly every HIV-1 protease/inhibitor complex. Although the urea oxygen of the designed inhibitor, DMP323, mimics and replaces water 301, other water molecules are seen in the protease/DMP323 crystal structure. As a first step toward understanding how water molecules may contribute to inhibitor potency and specificity, we have recorded water-NOESY and water-ROESY spectra of the protease/ DMP323 complex. Cross relaxation rates derived from these spectra, together with interproton distances calculated from the crystal structure of the complex, were used to classify the exchange cross peaks as follows: (A) a direct NOE with a water proton, (B) an indirect NOE with water through a labile protein proton, and (C) direct exchange of an amide proton with water. Type A and B cross peaks were analyzed using three models of water dynamics: (1) two-site exchange, with water molecules randomly hopping between bound and free states, (2) bound water with internal motion, and (3) free diffusion. Using the two-site exchange model to analyze the relaxation data of the type A cross peaks, it was found that the water molecules had short residence times, ca. 500 ps. in contrast with the > 9 ns residence time estimated for water 301 in the protease/P9941 complex [Grzesiek et al. (1994) J. Am. Chem. Soc. 116, 1581-1582]. The NMR data are consistent with the X-ray observation that two symmetry-related water molecules, waters 422 and 456, are bound at the DMP323 binding site. Hence, these water molecules may help to stabilize the structure of the complex. Finally, it was found that three buried and hydrogen-bonded Thr hydroxyl protons were in slow exchange with solvent. In contrast, it was found that the DMP323 H4/H5 hydroxyl protons and the Asp25/125 carboxyl protons, which form a buried hydrogen-bonded network at the catalytic site of the protease, are in rapid exchange with solvent, suggesting that solvent can penetrate into the buried protein/inhibitor interface on the millisecond to microsecond time scale.

Azepines↗

Molecular dynamics-based approach to study the anisotropic self-diffusion of molecules in porous materials with multiple cage types: application to H2 in losod.

The anisotropic self-diffusion of molecular hydrogen in the multiple cage clathrasil losod (LOS) is modeled by means of molecular dynamics (MD) simulations of up to 1 micros for the temperature range 900-1200 K while treating the framework as fully flexible. The LOS diffusion tensor is calculated employing an analytical method based on hopping rates. The diffusion in the c-direction of the unit cell is found to be approximately two times more rapid than in the a- and the b-directions, a characteristic of importance for the application of LOS as a membrane. The overall diffusion is based on five different hop types for which the individual hopping rates and diffusion barriers are calculated separately. We show explicitly that the shape and volume of the cages have a significant effect on the hopping rates and further that even small deformations of the circular Si6O6 apertures have a large influence on the energetic barrier for hydrogen diffusion. Compared to the single cage clathrasils dodecasil 3C (MTN) and sodalite (SOD), LOS has a lower diffusion rate. However, from a technical point of view this rate (at 573 K) is still fast enough for LOS to be interesting as a size-selective membrane or as a hydrogen-adsorption medium.

Journal Article↗

Magnetic resonance imaging of chemical waves in porous media.

Magnetic resonance imaging (MRI) provides a powerful tool for the investigation of chemical structures in optically opaque porous media, in which chemical concentration gradients can be visualized, and diffusion and flow properties are simultaneously determined. In this paper we give an overview of the MRI technique and review theory and experiments on the formation of chemical waves in a tubular packed bed reactor upon the addition of a nonlinear chemical reaction. MR images are presented of reaction-diffusion waves propagating in the three-dimensional (3D) network of channels in the reactor, and the 3D structure of stationary concentration patterns formed via the flow-distributed oscillation mechanism is demonstrated to reflect the local hydrodynamics in the packed bed. Possible future directions regarding the influence of heterogeneities on transport and reaction are discussed.

Diffusion↗

Reaction mechanism of chalcone isomerase. pH dependence, diffusion control, and product binding differences.

Chalcone isomerase (CHI) catalyzes the intramolecular cyclization of bicyclic chalcones into tricyclic (S)-flavanones. The activity of CHI is essential for the biosynthesis of flavanone precursors of floral pigments and phenylpropanoid plant defense compounds. We have examined the spontaneous and CHI-catalyzed cyclization reactions of 4,2',4',6'-tetrahydroxychalcone, 4,2',4'-trihydroxychalcone, 2',4'-dihydroxychalcone, and 4,2'-dihydroxychalcone into the corresponding flavanones. The pH dependence of flavanone formation indicates that both the non-enzymatic and enzymatic reactions first require the bulk phase ionization of the substrate 2'-hydroxyl group and subsequently on the reactivity of the newly formed 2'-oxyanion during C-ring formation. Solvent viscosity experiments demonstrate that at pH 7.5 the CHI-catalyzed cyclization reactions of 4,2',4',6'-tetrahydroxychalcone, 4,2',4'-trihydroxychalcone, and 2',4'-dihydroxychalcone are approximately 90% diffusion-controlled, whereas cyclization of 4,2'-dihydroxychalcone is limited by a chemical step that likely reflects the higher pK(a) of the 2'-hydroxyl group. At pH 6.0, the reactions with 4,2',4',6'-tetrahydroxychalcone and 4,2',4'-trihydroxychalcone are approximately 50% diffusion-limited, whereas the reactions of both dihydroxychalcones are limited by chemical steps. Comparisons of the 2.1-2.3 A resolution crystal structures of CHI complexed with the products 7,4'-dihydroxyflavanone, 7-hydroxyflavanone, and 4'-hydroxyflavanone show that the 7-hydroxyflavanones all share a common binding mode, whereas 4'-hydroxyflavanone binds in an altered orientation at the active site. Our functional and structural studies support the proposal that CHI accelerates the stereochemically defined intramolecular cyclization of chalcones into biologically active (2S)-flavanones by selectively binding an ionized chalcone in a conformation conducive to ring closure in a diffusion-controlled reaction.

Chalcone↗

Antigen-specific cells in mouse bone marrow. I. Lasting effects of priming on immunocyte production by transferred marrow.

Graded numbers of marrow cells and 5 x 10(7) thymocytes were mixed in vitro and transplanted into X-irradiated (C3H x C57BL/10)F(1) mice. Upon injection of sheep or chicken erythrocytes, splenic plaque-forming cells secreting IgM (direct PFC) or IgG (indirect PFC) hemolytic antibody were enumerated at the time of peak responses. Anti-sheep and anti-chicken primary PFC responses elicited by nonimmune marrow cells differed sharply from each other under the conditions of limiting dilution assays. The frequencies of anti-chicken responses in recipients of different numbers of marrow cells conformed to the predictions of the Poisson model, while the frequencies of anti-sheep responses did not. Hence, the function of certain marrow-derived cells was expressed differentially during the two immune responses, to exclude that the same precursor units generated anti-sheep or anti-chicken PFC. The former precursor cells or units were functionally more heterogeneous than the latter. Immunization of marrow donors against sheep erythrocytes did not alter the population of cells engaged in anti-chicken responses, since limiting dilution assays with immune and nonimmune marrow cells gave identical results. However, anti-sheep immunization altered specifically the cell population engaged in anti-sheep responses, in two ways: (a) potentially immunocompetent marrow cells underwent antigen-dependent differentiation or maturation, to become functionally homogeneous. Consequently, the frequencies of PFC responses in limiting dilution assays conformed to the Poisson model; the changes occurred independently in class-restricted precursors of direct and indirect PFC. (b) marrow cells capable of inhibiting precursors of direct anti-sheep PFC arose in primed mice. The inhibition, which was specific, could have been effected directly by marrow cells or by a diffusable product such as IgG antibody. Results indicated that potentially immunocompetent cells of mouse marrow with distinct functions were antigen specific and antigen sensitive.

Animals↗

Healing of bone-tendon junction in a bone trough: a goat partial patellectomy model.

Bone-tendon junction healing in a bone trough was investigated in a goat partial patellectomy model. Histologic evaluation and biomechanical tests were done at 6, 12, and 24 weeks. Irregular fibrous tissue seen at the healing bone-tendon junction at 6 weeks gradually assumed longitudinal alignment and remodeled toward a direct bone-tendon junction. Type III collagen deposition was diffuse at 6 weeks, but became localized to the healing interface at 12 weeks. Thickness of newly formed bone increased progressively with time. Bridging collagen fibers were formed at the junction, with fibrochondrocytic cells and a basophilic tidemark detected at 24 weeks. The trabecular line remained discontinuous and there was no safranin O uptake. Most specimens failed at the junctions under tensile loads. The ultimate failure stress increased from 4.78 +/- 0.50 N/mm2 at 6 weeks to 7.99 +/- 0.33 N/mm2 at 24 weeks (mean +/- standard error of the mean), only reaching 15% of normal. Cartilage from the articular cut surface extended into the healing interface, later forming an area of fibrocartilage with densely packed collagen fibers aligned along the direction of force, containing proteoglycans. Cartilage may enhance restoration of a transition zone in bone-tendon junction healing. The sequence of events outlined formed a basis to guide clinical practice regarding bone-tendon junction reattachment.

Animals↗

Nutrition of the intervertebral disc.

STUDY DESIGN: A review of the literature on disc nutrition. OBJECTIVES: To summarize the information on disc nutrition in relation to disc degeneration. SUMMARY OF THE BACKGROUND DATA: The disc is avascular, and the disc cells depend on diffusion from blood vessels at the disc's margins to supply the nutrients essential for cellular activity and viability and to remove metabolic wastes such as lactic acid. The nutrient supply can fail due to changes in blood supply, sclerosis of the subchondral bone or endplate calcification, all of which can block transport from blood supply to the disc or due to changes in cellular demand. METHODS: A review of the studies on disc blood supply, solute transport, studies of solute transport in animal and human disc in vitro, and of theoretical modeling studies that have examined factors affecting disc nutrition. RESULTS: Small nutrients such as oxygen and glucose are supplied to the disc's cells virtually entirely by diffusion; convective transport, arising from load-induced fluid movement in and out of the disc, has virtually no direct influence on transport of these nutrients. Consequently, there are steep concentration gradients of oxygen, glucose, and lactic acid across the disc; oxygen and glucose concentrations are lowest in the center of the nucleus where lactic acid concentrations are greatest. The actual levels of concentration depend on the balance between diffusive transport and cellular demand and can fall to critical levels if the endplate calcifies or nutritional demand increases. CONCLUSIONS: Loss of nutrient supply can lead to cell death, loss of matrix production, and increase in matrix degradation and hence to disc degeneration.

Animals↗

Self-diffusion in dense granular shear flows.

Diffusivity is a key quantity in describing velocity fluctuations in granular materials. These fluctuations are the basis of many thermodynamic and hydrodynamic models which aim to provide a statistical description of granular systems. We present experimental results on diffusivity in dense, granular shear flows in a two-dimensional Couette geometry. We find that self-diffusivities D are proportional to the local shear rate gamma; with diffusivities along the direction of the mean flow approximately twice as large as those in the perpendicular direction. The magnitude of the diffusivity is D approximately gamma;a(2), where a is the particle radius. However, the gradient in shear rate, coupling to the mean flow, and strong drag at the moving boundary lead to particle displacements that can appear subdiffusive or superdiffusive. In particular, diffusion appears to be superdiffusive along the mean flow direction due to Taylor dispersion effects and subdiffusive along the perpendicular direction due to the gradient in shear rate. The anisotropic force network leads to an additional anisotropy in the diffusivity that is a property of dense systems and has no obvious analog in rapid flows. Specifically, the diffusivity is suppressed along the direction of the strong force network. A simple random walk simulation reproduces the key features of the data, such as the apparent superdiffusive and subdiffusive behavior arising from the mean velocity field, confirming the underlying diffusive motion. The additional anisotropy is not observed in the simulation since the strong force network is not included. Examples of correlated motion, such as transient vortices, and Lévy flights are also observed. Although correlated motion creates velocity fields which are qualitatively different from collisional Brownian motion and can introduce nondiffusive effects, on average the system appears simply diffusive.

Journal Article↗