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Single-molecule protein folding: diffusion fluorescence resonance energy transfer studies of the denaturation of chymotrypsin inhibitor 2.

We report single-molecule folding studies of a small, single-domain protein, chymotrypsin inhibitor 2 (CI2). CI2 is an excellent model system for protein folding studies and has been extensively studied, both experimentally (at the ensemble level) and theoretically. Conformationally assisted ligation methodology was used to synthesize the proteins and site-specifically label them with donor and acceptor dyes. Folded and denatured subpopulations were observed by fluorescence resonance energy transfer (FRET) measurements on freely diffusing single protein molecules. Properties of these subpopulations were directly monitored as a function of guanidinium chloride concentration. It is shown that new information about different aspects of the protein folding reaction can be extracted from such subpopulation properties. Shifts in the mean transfer efficiencies are discussed, FRET efficiency distributions are translated into potentials, and denaturation curves are directly plotted from the areas of the FRET peaks. Changes in stability caused by mutation also are measured by comparing pseudo wild-type CI2 with a destabilized mutant (K17G). Current limitations and future possibilities and prospects for single-pair FRET protein folding investigations are discussed.

Energy Transfer↗

Laser energy source in surgical atrial fibrillation ablation: preclinical experience.

PURPOSE: The purpose of this study was to evaluate diffusing tip laser energy in surgical atrial fibrillation ablation using a canine model. This is the first report to describe the pathological and histological findings using a laser energy source. DESCRIPTION: The surgical atrial fibrillation ablation procedure was performed through a left atriotomy; the pulmonary veins were encircled in 16 dogs using a diode laser (980 nm) with a diffusing tip that permits linear ablation perpendicular to the fiber direction. Lesion durations were 45 seconds with a power density of 3.8 or 4.5 W/cm. Six animals were allowed to survive 4 hours after the procedure, with the remainder sacrificed at 1 week (n = 1), 4 weeks (n = 3), and 6 weeks (n = 6). Electrophysiologic effectiveness was judged using unipolar or bipolar pacing from the pulmonary veins after attempting isolation. Hearts were harvested for histologic examination using standard trichrome staining. EVALUATION: All animals tolerated the procedure. The animals required an average of 5.6 +/- 0.82 lesions to complete the procedure. All animals had confirmed isolation of the pulmonary veins as judged by unipolar or bipolar pacing, and this isolation persisted in those animals that were allowed to survive. Pathology revealed all lesions to be transmural with an average tissue thickness of 3.62 +/- 1.50 mm (range, 0.95 mm to 7.06 mm). CONCLUSIONS: Diffusing tip laser technology reproducibly makes rapid, transmural, and electrophysiologically effective atrial lesions.

Animals↗

Amendments to the theory underlying Ussing chamber data of chloride ion secretion after bacterial enterotoxin exposure.

Bacterial enterotoxins may cause life-threatening diarrhoeal fluid loss in part because they stimulate enterocytes to secrete fluid into the small intestine as well as preventing normal fluid uptake. Abnormal chloride ion secretion is believed to provide the osmotic driving force for the inappropriate fluid movement. Evidence for enhanced chloride secretion consists of isotopic flux measurements in Ussing chambers, the standard apparatus for permeation studies. Flux from the lumen of the intestine is assumed to be determined solely by absorptive processes and flux towards the lumen solely by secretory processes. Bacterial enterotoxin increased flux towards the lumen is taken as an evidence of enhanced secretion. Examination of the flux equation solutions shows that the existing theoretical treatment of the Ussing chamber consists of the super-imposition of two contradictory unidirectional models. In contrast, the present analysis shows that a measured 'unidirectional' flux contains information both about absorptive and secretory processes, regardless of which flux is measured. Reciprocity is predicted for the fluxes, as decreases in the absorptive processes will cause increases in apparent secretory flux. Data from the literature show that mucosal-to-serosal chloride ion flux in rabbit ileum after exposure to secretagogues correlates inversely and highly significantly (r=0.74, n=17, p<0.001) with increases in serosal-to-mucosal chloride ion flux. As a category of evidence, flux data do not provide conclusive evidence of enhanced chloride secretion after exposure to enterotoxins, since an apparently enhanced serosal-to-mucosal flux would also be noted after inhibition of the mucosal-to-serosal flux. As interruption of absorptive processes can be misinterpreted as enhanced secretion in the Ussing chamber, this is a serious deficiency in the evidence for direct enterotoxin enhancement of the intestinal chloride ion channel as a basis for diarrhoeal disease.

Animals↗

Multiple-layer, direct-compression, controlled-release system: in vitro and in vivo evaluation.

A new approach to achieve controlled drug delivery is demonstrated for a triple-layer tablet, which simultaneously combines the principles of diffusion and dissolution. Heckel's equation was used to characterize the compression behavior of formulation components. A balanced proportion of each component and a model drug (theophylline) were selected to avoid lamination after ejection and ensure coherent compaction. In vitro release profiles over a period of 10 h in different dissolution media and hydrodynamic conditions were similar and resulted in an n value of 0.786, signifying anomalous release kinetics. The n value is calculated from a curve fit to the empirical equation: Mt/Minfinity = Ktn, where Mt and Minfinity denote the amount of drug released at time t and at infinite time, respectively, K denotes the proportionality constant, and n characterizes the type of release mechanism operative during the dissolution process. In vivo study in human subjects after administration of the experimental triple-layer system exhibited a steady rise in plasma concentration up to 7 h. The actual amount of drug absorbed by the body was calculated by the Wagner-Nelson technique, and a linear relationship was observed between the percentage absorbed in vivo and the percentage dissolved in vitro. The proposed triple-layer model appears to provide good correlation between in vitro and in vivo results with maximum flexibility with respect of dose, duration range, and ease of production.

Adult↗

Diffusion of point defects in two-dimensional colloidal crystals.

Uniform colloidal microspheres dispersed in a solvent will, under appropriate conditions, self-assemble into ordered crystalline structures. Using these colloidal crystals as a model system, a great variety of problems of interest to materials science, physical chemistry, and condensed-matter physics have been investigated during the past two decades. Recently, it has been demonstrated that point defects can be created in two-dimensional colloidal crystals by manipulating individual particles with optical tweezers. Direct imaging of these defects verified that their stable configurations have lower symmetry than the underlying triangular lattice, as predicted by numerical simulations for a number of two-dimensional systems. It was also observed that point defects can dissociate into pairs of well-separated dislocations, a topological excitation especially important in two dimensions. Here we use a similar experimental system to study the dynamics of mono- and di-vacancies in two-dimensional colloidal crystals. We see evidence that the excitation of point defects into dislocation pairs enhances the diffusion of di-vacancies. Moreover, the hopping of the defects does not follow a pure random walk, but exhibits surprising memory effects. We expect the results presented in this work to be relevant for explaining the dynamics of other two-dimensional systems.

Journal Article↗

Gene regulatory networks: a coarse-grained, equation-free approach to multiscale computation.

We present computer-assisted methods for analyzing stochastic models of gene regulatory networks. The main idea that underlies this equation-free analysis is the design and execution of appropriately initialized short bursts of stochastic simulations; the results of these are processed to estimate coarse-grained quantities of interest, such as mesoscopic transport coefficients. In particular, using a simple model of a genetic toggle switch, we illustrate the computation of an effective free energy Phi and of a state-dependent effective diffusion coefficient D that characterize an unavailable effective Fokker-Planck equation. Additionally we illustrate the linking of equation-free techniques with continuation methods for performing a form of stochastic "bifurcation analysis"; estimation of mean switching times in the case of a bistable switch is also implemented in this equation-free context. The accuracy of our methods is tested by direct comparison with long-time stochastic simulations. This type of equation-free analysis appears to be a promising approach to computing features of the long-time, coarse-grained behavior of certain classes of complex stochastic models of gene regulatory networks, circumventing the need for long Monte Carlo simulations.

Algorithms↗

Convection-enhanced delivery of therapeutics for brain disease, and its optimization.

Convection-enhanced delivery (CED) is the continuous injection under positive pressure of a fluid containing a therapeutic agent. This technique was proposed and introduced by researchers from the US National Institutes of Health (NIH) by the early 1990s to deliver drugs that would otherwise not cross the blood-brain barrier into the parenchyma and that would be too large to diffuse effectively over the required distances were they simply deposited into the tissue. Despite the many years that have elapsed, this technique remains experimental because of both the absence of approved drugs for intraparenchymal delivery and the difficulty of guaranteed delivery to delineated regions of the brain. During the first decade after the NIH researchers founded this analytical model of drug distribution, the results of several computer simulations that had been conducted according to more realistic assumptions were also published, revealing encouraging results. In the late 1990s, one of the authors of the present paper proposed the development of a computer model that would predict the distribution specific to a particular patient (brain) based on obtainable data from radiological images. Several key developments in imaging technology and, in particular, the relationships between image-obtained quantities and other parameters that enter models of the CED process have been required to implement this model. Note that delivery devices need further development. In the present paper we review key features of CED as well as modeling of the procedure and indulge in informed speculation on optimizing the direct delivery of therapeutic agents into brain tissue.

Animals↗

Model of anion and monovalent cation transport as neutral ion pairs through lipophilic water channels of the Na,K ATPase complex.

A model of anion and monovalent cation transport through a lipophilic water channel of the Na,K ATPase complex is presented. Literature data for the Na,K ATPase cation binding sites are combined with data for the anion binding sites of Band 3 to obtain adjacent cation and anion combining sites at the inner and outer channel mouths. Cations and anions form neutral ion pairs or undissociated acids at these sites and then partition much more favorably into lipophilic channel water, passing through the channel in diffusive fashion. Cation movements in an "uphill" direction occur without an enzyme translocating moiety and its specific energetic requirement. The pertinent factors are the exclusion of unpaired cations by the tight channel and the site selectivity or pickup ratios for Na/K at each side which dominate over bulk and transmembrane concentration ratios. ATP hydrolysis provides phosphate for ion pairing.

Anions↗

A computational model of direct interstitial infusion of macromolecules into the spinal cord.

Convection-enhanced interstitial infusion can deliver macromolecular drugs to large tissue volumes of the central nervous system. To characterize infusion into the spinal cord, an image-based three-dimensional finite element model of the rat spinal cord was developed. The model incorporated convection and diffusion through white and gray matter, including anisotropic transport due to alignment of white matter tracts. Spatial and temporal distribution of the marker substance albumin within the interstitial space was determined. Consistent with previous experiments, predicted distribution was highly anisotropic. Infusing into the dorsal column, albumin was primarily confined to, white matter with limited penetration into adjacent gray matter. Distribution was determined primarily by the ratio of fiber-parallel to fiber-perpendicular hydraulic conductivity tensor components (k(wm-z)/k(wm-x)), the ratio of transverse white and gray matter hydraulic conductivity (k(wm-x)/k(gm)), and tissue porosity. Fits to previous experimental measures of axial and transverse spread, distribution volume, and protein recovery yielded an optimum k(wm-z)/k(wm-x) of approximately 20 at 0.1 microl/min. k(wm-x)/k(gm) of 100 was sufficient to match experimental transverse distribution data. Best fits to data at 0.1 microl/min were achieved by porosities characteristic of moderate edema (e.g., 0.26). Distribution also varied with catheter placement with more medial placement resulting in greater distribution volumes.

Albumins↗

Analysis of a model of a vertically transmitted disease.

A model is presented of a disease that can be transmitted directly from parent to offspring (vertical transmission) as well as through contact with infectives. A global stability analysis is given for the basic model and the epidemiological effects of vertical transmission are discussed. The effects of the addition of maturation and incubation delays as well as spatial diffusion are analyzed in some special cases.

Communicable Diseases↗

Distribution and uptake of helium, carbon monoxide, and acetylene in the lungs during high frequency oscillatory ventilation.

In order to obtain a better understanding of intrapulmonary gas mixing and alveolar-capillary gas transport during high frequency oscillatory ventilation (HFO), we measured insoluble gas (He) equilibration, and soluble gas (CO, C2H2) uptake in the lungs of ten anesthetized dogs during closed system HFO (i.e. no fresh gas bias flow). These gases were introduced as a bolus into the lumen of an endotracheal tube and their concentrations were subsequently measured for 20-25 sec from a catheter in the distal end of this tube. Analysis of He concentrations over time was performed using a two compartment series model to calculate a value for effective ventilation (Veff). This Veff was found to range from 0.83 to 23.8 L/min and was directly related to oscillator output (f X VT product, r = 0.77). Analysis of CO and C2H2 concentrations during HFO using a similar two-compartment model having alveolar capillary gas transport in series with Veff allowed for the calculation of pulmonary capillary blood flow (QHFO) and lung diffusing capacity (DHFO). These values for QHFO were found to be not significantly different from simultaneous thermodilution determinations of cardiac output and these values for DHFO were found to be not significantly different from single breath or rebreathing determinations of CO diffusing capacity. Moreover, QHFO and DHFO did not vary with Veff. We conclude that this two compartment in series model is a reasonable way to characterize insoluble and soluble gas behavior during HFO, that Veff is related to oscillator output, and that QHFO and DHFO are not affected by HFO over the range of Veff studied.

Acetylene↗

Cell behavior and cell-cell communication during fruiting body morphogenesis in Myxococcus xanthus.

Formation of spatial patterns of cells from a mass of initially identical cells is a recurring theme in developmental biology. The dynamics that direct pattern formation in biological systems often involve morphogenetic cell movements. An example is fruiting body formation in the gliding bacterium Myxococcus xanthus in which an unstructured population of identical cells rearranges into an asymmetric, stable pattern of multicellular fruiting bodies in response to starvation. Fruiting body formation depends on changes in organized cell movements from swarming to aggregation. The aggregation process is induced and orchestrated by the cell-surface associated 17 kDa C-signal protein. C-signal transmission depends on direct contact between cells. Evidence suggests that C-signal transmission is geometrically constrained to cell ends and that productive C-signal transmission only occurs when cells engage in end-to-end contacts. Here, we review recent progress in the understanding of the pattern formation process that leads to fruiting body formation. Gliding motility in M. xanthus involves two polarly localized gliding machines, the S-machine depends on type IV pili and the A-machine seems to involve a slime extrusion mechanism. Using time-lapse video microscopy the gliding motility parameters controlled by the C-signal have been identified. The C-signal induces cells to move with increased gliding speeds, in longer gliding intervals and with decreased stop and reversal frequencies. The combined effect of the C-signal dependent changes in gliding motility behaviour is an increase in the net-distance travelled by a cell per minute. The identification of the motility parameters controlled by the C-signal in combination with the contact-dependent C-signal transmission mechanism have allowed the generation of a qualitative model for C-signal induced aggregation. In this model, the directive properties of the C-signal are a direct consequence of the contact-dependent signal-transmission mechanism, which is a local event involving direct contact between cells that results in a global organization of cells. This pattern formation process does not depend on a diffusible substance. Rather it depends on a cell-surface associated signal to direct the cells appropriately.

Bacterial Proteins↗

Mobility and orientation of spin probes attached to nucleotides incorporated into actin.

Each actin molecule contains a nucleotide, tightly bound in a deep cleft that divides the molecule. To probe conformational changes within this region of the molecule, we have incorporated two spin label analogues of ATP into actin. In both analogs the spin label was attached to the 6 position on the adenine ring, either directly (6nSLATP) or via a longer thioacetamido linker (6sSLATP). Electron paramagnetic resonance spectra of randomly oriented actin filaments showed that both the probes possessed considerable rotational mobility relative to the protein surface. The 6nSLADP has two degrees of rotational mobility that can be approximately modeled by rapid diffusion within cones with half angles of 30 +/- 1 degrees and 42 +/- 1.5 degrees. The 6sSLADP displayed one degree of rotational mobility approximated by rapid motion within a cone with a half-angle of 38 +/- 1 degrees. The rotational mobility of the probes is determined by the protein structure surrounding them, and changes in this structure should alter the mobility. The mobility of the probes was unchanged by addition of 20 mM Pi, which forms an ADP-Pi complex. However, binding of myosin heads (S1) shifted the population of 6nSLADP toward the more highly restricted cone, while binding of DNase-I shifted it toward the less restricted cone. We conclude that this region of actin is unchanged by binding of phosphate, while the binding of S1 or DNase-I produces only a modest shift in conformation.(ABSTRACT TRUNCATED AT 250 WORDS)

Actins↗

Zero-order release kinetics from a self-correcting floatable asymmetric configuration drug delivery system.

A new approach based on the three-layer matrix technology to control drug release for oral administration is presented. Polyethylene oxide polymers of various molecular weight together with theophylline as drug model and other excipients have been directly compressed into a three-layer asymmetric floatable system. The core layer contains the active drug while external layers with different thickness, composition, and erosion rates are designed to delay the hydration of the middle layer, restrict the early drug diffusion only through cylindrical side surfaces of the tablet, and provide controlled drug release. Results show that during a 16 h dissolution study drug is completely released following the zero-order kinetics with no burst effect. The release rate remains around 0.1 mg min-1 throughout the dissolution study. The release kinetics is independent of changes in pH and compression force but dependent on layer thickness and formulation components. It appears that the operating release mechanism is based on the existence of a balance between the velocities of advancing glassy/rubbery front and erosion at the swollen polymer/dissolution front.

Administration, Oral↗

Direct observation of a transverse periodicity in collagen fibrils.

Collagen fibrils have been extensively studied by electron microscopy, but only scant evidence has yet been obtained about their transverse structure. A transverse pediodicity of about 40 or 80 A might be expected if the microfibril model (until recently the common preference) is correct, but little direct evidence for such a periodicity has been obtained so far. We have studied electron micrographs of longitudinal cryosections of rat tail tendon. These appear very fibrous when studied by eye, but they produce at best only diffuse equatorial peaks in optical diffraction patterns. Nevertheless, we show here that like other fibrous protein structures, they do possess a strong transverse periodicity as revealed by their self-convolution functions (or auto-correlation functions). The observed periodicity is consistent with the presence of an 80 A structural unit in collagen fibrils in vivo.

Animals↗

Diffusion on random-site percolation clusters: theory and NMR microscopy experiments with model objects.

Quasi-two-dimensional random-site percolation model objects were fabricated based on computer-generated templates. Samples consisting of two compartments, a reservoir of H2O gel attached to a percolation model object, which was initially filled with D2O, were examined with nuclear magnetic resonance microscopy for rendering proton spin density maps. The propagating proton/deuteron interdiffusion profiles were recorded and evaluated with respect to anomalous diffusion parameters. The deviation of the concentration profiles from those expected for unobstructed diffusion directly reflects the anomaly of the propagator for diffusion on a percolation cluster. The fractal dimension of the random walk d(w) evaluated from the diffusion measurements on the one hand and the fractal dimension d(f) deduced from the spin density map of the percolation object on the other permits one to experimentally compare dynamical and static exponents. Approximate calculations of the propagator are given on the basis of the fractional diffusion equation. Furthermore, the ordinary diffusion equation was solved numerically for the corresponding initial and boundary conditions for comparison. The anomalous diffusion constant was evaluated and is compared to the Brownian case. Some ad hoc correction of the propagator is shown to pay tribute to the finiteness of the system. In this way, anomalous solutions of the fractional diffusion equation could experimentally be verified.

Journal Article↗

Development of a lipid-rich, soft plaque in rabbits, monitored by histology and intravascular ultrasound.

Lipid rich, soft plaques in the clinic are a common forerunner to occlusive thrombus formation, even with modest arterial stenosis. Animal models of atherosclerosis, obtained by various methods, do not generally allow direct in vivo evaluation of the lesion and, furthermore, cannot be examined more than once. The aim of the study was the generation of a rabbit model of atherosclerosis, with morphological characteristics similar to human lipid-rich, soft atheromatous plaques, and the evaluation of the reliability of intravascular ultrasound (IVUS) technology in the study of the development of atherosclerotic lesions in this model. Briefly, New Zealand white rabbits undergo perivascular electrical injury at both common carotid arteries, together with a 1.5% cholesterol diet for up to 90 days. The lesioned arterial segments show progressive changes, from diffuse cellular mortality, to macrophage infiltration in the media, up to the final migration of macrophages to the neointima, resulting in bulky, eccentric, macrophage and lipid-rich lesions. At IVUS, the produced lesions clearly resemble those described as 'soft plaques' in the clinical setting, with minimal calcification and reduced echo-reflectivity versus the adventitial layer. Quantitative and morphometric analysis of plaques shows a significant correlation between histological and IVUS measurements at each time point. In conclusion, vascular injury in the common carotids of rabbits generates atherosclerotic lipid-rich, soft plaques, that can be properly assessed by the IVUS methodology. The easy accessibility of the arterial lesion allows serial IVUS investigations and the direct evaluation of a number of locally or generally delivered therapeutic agents.

Analysis of Variance↗

Anomalous fluctuations of active polar filaments.

Using a simple model, we study the fluctuating dynamics of inextensible, semiflexible polar filaments interacting with active and directed force generating centers such as molecular motors. Taking into account the fact that the activity occurs on time scales comparable to the filament relaxation time, we obtain some unexpected differences between both the steady-state and dynamical behaviors of active as compared to passive filaments. For the statics, the filaments have a length-scale-dependent rigidity. Dynamically, we find strongly enhanced anomalous diffusion.

Actin Cytoskeleton↗