Determining whether observed eukaryotic cell migration indicates chemotactic responsiveness or random chemokinetic motion.

Chemotaxis, the motion of cells directed by a gradient of chemoattractant molecules, guides cells in immune response, development, wound healing, and cancer. Unfortunately, this process is difficult to distinguish from chemokinesis, i.e., stimulated random cell motion. Chemotaxis is frequently inferred by determining how many cells cross a boundary in a chemotaxis assay, for example how many cells crawl into a chemoattractant-infused filter, or how many cells enter a defined region in an under-agarose assay or agarose spot assay. To mitigate possible ambiguity in whether motion observed in these assays is directed by the chemoattractant gradient or by chemokinesis, we developed a mathematical model to determine when such methods indeed indicate directed motion of cells. In contrast to previous analyses of chemotaxis assays, we report not just the gradients that arise in the assays but also resulting cell motion. We applied the model to data obtained from rigorous measurements and show, as examples, that MDA-MB-231 breast-cancer cells are at least 20 times less sensitive to gradients of EGF or CXCL12 than neutrophils are to formyl peptides; we then used this information to determine the extent to which gradient sensing increases the rate of boundary crossing relative to a random-motility control. Results show, for example, that in the filter assay, 2-4 times as many neutrophils pass through the filter when exposed to a gradient as when the gradient is absent. However, in the other combinations of cells and assays we considered, only 10-20% more cells are counted as having migrated in a directed, rather than random, motility condition. We also discuss the design of appropriate controls for these assays, which is difficult for the under-agarose and agarose spot assays. Moreover, although straightforward to perform with the filter assay, reliable controls are often not done. Consequently, we infer that chemotaxis is frequently over-reported, especially for cells like MDA-MB-231 cells, which move slowly and are relatively insensitive to gradients. Such results provide insights into the use of chemotaxis assays, particularly if one wants to acquire and analyze quantitative data.

[3rd Workshop on Epidemiology, Prevention and Treatment of Invasive Meningococcal Disease in Würzburg 2006]. / 3. Würzburger Workshop zur Epidemiologie, Prävention und Therapie der invasiven Meningokokkenerkrankung 2006.

On October 5th, 2006, the German Reference Centre for Meningococci (NRZM) held the 3rd Workshop on Epidemiology, Prevention and Treatment of Invasive Meningococcal Disease, in collaboration with the German Society for Hygiene and Microbiology (DGHM). Given the recent recommendation of the German Standing Committee on Vaccination (STIKO) for conjugate meningococcal C vaccination of all children in the second year of life, observations from meningococcal C conjugate vaccination campaigns in other European countries were presented and compared to the German situation. Moreover, the newly implemented cluster detection routines employed at the NRZM and their integration into the interactive geographical information system EpiScanGIS were shown. Based on recent experiences from regional outbreaks in Oberallgäu, Sangerhausen, and Greater Aachen, examples for public health intervention were given at the conference. In addition, current developments in the area of meningococcal research, as well as trends in antimicrobial susceptibility were covered. Finally, the latest evidence concerning the clinical management and chemoprophylaxis of this invasive bacterial disease was discussed.

Distinguishing modes of eukaryotic gradient sensing.

We develop a mathematical model of phosphoinositide-mediated gradient sensing that can be applied to chemotactic behavior in highly motile eukaryotic cells such as Dictyostelium and neutrophils. We generate four variants of our model by adjusting parameters that control the strengths of coupled positive feedbacks and the importance of molecules that translocate from the cytosol to the membrane. Each variant exhibits a qualitatively different mode of gradient sensing. Simulations of characteristic behaviors suggest that differences between the variants are most evident at transitions between efficient gradient detection and failure. Based on these results, we propose criteria to distinguish between possible modes of gradient sensing in real cells, where many biochemical parameters may be unknown. We also identify constraints on parameters required for efficient gradient detection. Finally, our analysis suggests how a cell might transition between responsiveness and nonresponsiveness, and between different modes of gradient sensing, by adjusting its biochemical parameters.

Initial experience using the NuMED Cheatham Platinum (CP) stent for interventional treatment of coarctation of the aorta in children and adolescents.

We report the immediate results in a group of selected patients with native or recurrent coarctation of the aorta who underwent endovascular stent implantation using the newly designed Cheatham-Platinum (CP)-stent. The balloon-expandable stents were implanted in 6 patients (mean age 12.7 years) with coarctation of the aorta (5 native, 1 recurrent). The maximal systolic peak pressure gradient was decreased from 49 to 3 mmHg (p <0.001). There was a 350% increase in the mean diameter at the original coarctation site (3.8 to 13.8 mm, p <0.01). Although the maximal diameter varied from 8 to 18 mm, there was only a minor reduction in the length of the CP-stents used (max. 11%). The dilatation was successful in all patients and there were no complications during balloon dilatation or stent implantation. All patients were hypertensive prior to stent implantation, with three of them requiring antihypertensive drug therapy. In 2 patients only a moderate dilatation diameter was chosen initially due to the extremely small coarctation site (1 mm) and repeat dilatation after 12 months was performed in order to obtain a maximal aortic diameter. At a mean of 18 months of follow-up, 5 of 6 patients are normotensive. There is no recurrence of coarctation, aortic dissection or aneurysm formation and no stent displacement. These findings suggest that the implantation of CP-stents for coarctation of the aortamay cover a wide spectrum of aortic diameters and consequently hereby offer an effective alternative approach to surgery or ballon dilatation alone even in infancy and childhood. The potential for redilatation of CP-stents in a wide range of diameters without significant shortening adds to the benefit of this device in growing children.

Energetics of clathrin basket assembly.

A minimal thermodynamic model is used to study the in vitro equilibrium assembly of reconstituted clathrin baskets. The model contains parameters accounting for i) the combined bending and flexing rigidities of triskelion legs and hubs, ii) the intrinsic curvature of an isolated triskelion, and iii) the free energy changes associated with interactions between legs of neighboring triskelions. Analytical expressions for basket size distributions are derived, and published size distribution data (Zaremba S, Keen JH. J Cell Biol 1983;97: 1339-1347) are then used to provide estimates for net total basket assembly energies. Results suggest that energies involved in adding triskelions to partially formed clathrin lattices are small (of the order of kBT), in accord with the notion that lattice remodeling during basket formation occurs as a result of thermodynamic fluctuations. In addition, analysis of data showing the effects of assembly proteins (APs) on basket size indicates that the binding of APs increases the intrinsic curvature of an elemental triskelial subunit, the stabilizing energy of leg interactions, and the effective leg/hub rigidity. Values of effective triskelial rigidity determined in this investigation are similar to those estimated by previous analysis of shape fluctuations of isolated triskelia.

Rigidity of triskelion arms and clathrin nets.

Statistical analysis is applied to a set of electron micrographic images (Kocsis, E., B. L. Trus, C. J. Steer, M. E. Bisher, and A. C. Steven. 1991. J. Struct. Biol. 107:6-14), from which quantitative measures are obtained to support the notion that the three arms of a triskelion have statistically identical properties and exhibit independent structural fluctuations. Additionally, a study of local contour fluctuations, which indicates that the elastic properties of a triskelion arm are approximately constant over the entire arm length, is used along with a small deformation statistical mechanics theory to derive an effective, average flexural rigidity for the arms. This result is used to estimate the bending energy necessary to deform a clathrin patch, and comparison is made with the deformation energy of an equivalent area of non-clathrin-coated membrane. We estimate that the rigidity of the clathrin lattice is at least comparable to that of a typical membrane. Hence, the natural curvature of a clathrin cage can stabilize, and perhaps propel, the formation of intracellular coated vesicles.

A singular state of membrane lipids at cell growth temperatures.

Cells adjust their membrane lipid composition when they adapt to grow at different temperatures. The consequences of this adjustment for membrane properties and functions are not well understood. Our report shows that the temperature dependence of the diffusion of a probe molecule in multilayers formed from total lipid extracts of E. coli has an anomalous maximum at a temperature corresponding to the growth temperature of each bacterial preparation (25, 29, and 32 degrees C). This increase in the lateral diffusion coefficient, D, is characteristic of membrane lipids in a critical state, for which large fluctuations of molecular area in the plane of the bilayer are expected. Therefore, changes in lipid composition may be due to a requirement that cells maintain their membranes in a state where molecular interactions and reaction rates are readily modulated by small, local perturbations of membrane organization.

Light scattering characterization of extruded lipid vesicles.

By modeling extruded unilamellar lipid vesicles as thin-walled ellipsoidal shells, mathematical analysis provides simple equations which relate the mean elongation and other morphological characteristics of a vesicle population to quantities readily obtained from combined static and dynamic light scattering measurements. For SOPC vesicles extruded through a 100 nm pore-size filter into a 72.9 mM NaCl solution, the inferred elongation ratio (vesicle long axis to short axis) is approximately 3.7 +/- 0.6. When these vesicles were dialyzed into hypertonic or hypotonic solutions, this elongation ratio varied from 1 (for spherical liposomes) in strongly hypotonic solutions to greater than 6 in increasingly hypertonic solutions, beyond which abrupt morphological transformations appear. These results are quantitatively consistent with a mechanism of vesicle formation by extrusion and with the expectation that vesicle volumes change to equalize internal and external osmolarity via water flow, subject to the constraint of constant bilayer area. Our analysis also provides simplified equations to assess the effects of vesicle elongation and polydispersity on liposome parameters that are commonly required to characterize vesicle preparations for diverse applications. The implications of this study for routine light scattering characterization of extruded vesicles are discussed.

Cell transit analysis of ligand-induced stiffening of polymorphonuclear leukocytes.

A mathematical treatment of the mechanical behavior of transiently bonded polymer networks is used to interpret measurements of the pressure-induced passage of plant cells through microporous membranes. Cell transit times are inferred to be proportional to the instantaneous shear modulus of the cell cortex, a parameters that we then relate to properties of the cortical F-actin matrix. These theoretical results are used to analyze published data on chemoattractant-induced changes of rigidity of polymorphonuclear leukocytes. We thereby rationalize previously noted, peculiar, power-law logarithmic dependences of transit time on ligand concentration. As a consequence, we are able to deduce a linear relationship between the extent of F-actin polymerization and the logarithm of the chemoattractant concentration. The latter is examined with regard to the G-protein activation that is known to occur when chemoattractants bind to receptors on the surfaces of polymorphonuclear cells.

Time-dependent contrast functions for quantitative imaging in time-resolved transillumination experiments.

We have developed a methodology that can be used in reconstruction algorithms to quantify the optical coefficients and the geometrical cross section of a weakly abnormal optical target embedded in an otherwise homogeneous medium. This novel procedure uses differenttime-dependent point-spread functions to analyze the diffusive and absorptive contrasts obtained from time-of-flight measurements. Data obtained from time-resolved transillumination of a tissuelike phantom are used to test the accuracy of this new deconvolution methodology.

Effects of multiple-passage probabilities on fluorescent signals from biological media.

By applying a random-walk model for photon migration, we find an exact expression for fluorescent signals emitted from a homogeneous, optically turbid medium containing a single fluorescent mass. In contrast to diffusion-theory-based models, our analysis accounts for multiple photon passages through the fluorophore sites and allows for a variable degree of fluorescent absorptivity. We particularly discuss effects on the amplitudes and phase shifts of frequency-domain fluorescent signals.

Point spread functions of photons in time-resolved transillumination experiments using simple scaling arguments.

Simple scaling arguments are used to determine spatial resolution achievable in time-resolved transillumination experiments involving highly diffuse media. These arguments allow us to obtain relationships linking target resolution at different planes inside an optically turbid slab to the gating times of the imaging system. We show that this approach yields the same results as those obtained previously from an approximate and rather complicated analytical derivation. In addition, we are now able to assess the effects of scattering anisotropy on spatial resolution attainable when gating times are so short that a constant scaling of photon transport scattering length is not appropriate. These results should enable one to devise more accurate and simpler image reconstruction algorithms.

Dynamics of temperature dependent optical properties of tissue: dependence on thermally induced alteration.

Thermal damage in heated bovine myocardial tissue is assessed from measured changes in total reflection and transmission of light. Mathematical expressions, based on random walk analysis of light propagation within tissue slabs, are used to relate the diffuse reflection and transmittance to the absorption coefficient, mu a, and effective scattering coefficient, mu's, for samples of myocardial tissue which were subjected to rapid step changes in temperature. Time-dependent changes in mu's, indicate two processes, one with a fast and temperature-dependent rate the other with a slow and apparently temperature-independent rate. For final temperatures above 56.8 degrees C and for the first 500 s after the temperature change, the optical parameters are well fit by exponential forms that exhibit temperature-dependent time constants as predicted by Arrhenius reaction rate theory of thermal damage. The scattering changes are associated with an apparent activation energy, delta E, of 162 kJ/mole and a frequency constant, A, of 3 x 10(23) s-1. This method provides a means for estimating optical coefficients which are needed to assess laser tissue dosimetry.

Absorptivity contrast in transillumination imaging of tissue abnormalities.

We calculate the time-resolved flux of photons transmitted across an optically turbid slab containing a partially absorbing inclusion. An analytical expression is obtained for the flux at a detector positioned opposite a point source (at a distance equal to the thickness of the slab) when the center of the inclusion lies on the line connecting those points. The calculation employs a discrete-time lattice random-walk model of photon transport. The resulting expression is used to assess the affects of time resolution on the detectability of the inclusion.

Small angle neutron scattering studies of structural characteristics of agarose gels.

The 30 m small angle neutron scattering facility at the National Institutes of Standards and Technology has been used to examine neutron scattering from agarose gels formed in D2O. Differential scattering cross sections have been acquired over a continuous range of Q between 0.005 and 0.3 A-1. Subtle changes in gel structure are observed when pre-gelation agarose concentration is varied. Similarly, except when the gelling solution is rapidly cooled to a low temperature, the rate at which the gels are formed does not seem to have much effect. Clearer evidence of structural rearrangement is observed when the solvent quality is changed by the addition of dimethyl sulfoxide, or when the temperature of the gel is elevated above 70 degrees C. These data are consistent with a description of a randomly structured polymer network containing discrete self-similar, hydrogen-bonded, junctions normally of minimal thickness approximately 35-40 A.

Resolution limits for optical transillumination of abnormalities deeply embedded in tissues.

Random walk theory is used to calculate the line spread function (LSF) of photons as they cross the midplane of a slab of finite thickness. The relationship between the LSF and the photon transit time in transillumination time-resolved experiments is investigated. It is found that the LSF is approximately Gaussian distributed, with a standard deviation, sigma, which can be used as a criterion of the spatial resolution of the imaging system. Results are substantiated by comparison with actual data in the literature. Any given resolution can be improved by reducing the excess transit time delta t, but heterogeneity of the scattering medium and low levels of detected light enormously complicate the achievement of subcentimeter spatial resolution. The latter point is discussed by using optical parameters of breast tissues for visible and near-infrared radiation (NIR) light.

Topological mechanisms involved in the formation of clathrin-coated vesicles.

By examining the basic characteristics of clathrin lattices, we discover that simple topological rules impose strict constraints on clathrin lattice transformations. These constraints require that internal bond rearrangements take place in conjunction with the addition or removal of pairs of clathrin triskelions within the interior of existing clathrin lattice patches. Similar constraints also are relevant to coated-vesicle shape changes and their budding-off from pit lattices. Via specific illustrations, successive vesicles with hexagonal-barrel and other coats are shown to grow out from the interior of a initially flat clathrin-coated pit so long as free triskelions are available from cytoplasm. Concomitantly, we present mathematical derivations of several simple and useful topological equations. These equations govern the numbers of nonhexagonal clathrin lattice facets and their variations during internal shape transformations and justify the proposed mechanisms of triskelion pair insertion and removal.

Rheological effects of the presence of hyaluronic acid in the extracellular media of differentiated 3T3-L1 preadipocyte cultures.

The viscoelastic properties of culture medium obtained from confluent 3T3-L1 preadipocytes, after differentiation with isobutyl-methylxanthine and dexamethasone, were studied with a rotational Couette viscometer. In close association with adipocyte differentiation, the culture medium showed gel-like properties, in concert with an increase in viscosity. This behavior vanishes after digestion by Streptomyces hyaluronidase or chondroitinase ABC, but not after application of collagenase, pronase, trypsin, DNase, or neuraminidase, or by treatment with EDTA or mercaptoethanol, indicating that the primary substance responsible for this behavior is hyaluronic acid. The material revealed a non-Newtonian behavior with an irreversible disruption of the network by shear force at high speeds. The viscosity of the medium, containing about 1 microgram/ml of hyaluronic acid, was calculated to be similar to that of a solution containing 1.7 mg high molecular weight hyaluronic acid per milliliter of stock culture medium. The comparison of rheological properties between the culture medium and solutions of hyaluronic acid indicated the possibility of a highly organized network in the culture medium that is more complicated than a simple interaction between homologous hyaluronic acid molecules. The non-Newtonian behavior depends on the hyaluronic acid concentration in the medium as well as on the length of exposure of the 3T3-L1 cells to the isobutyl-methylxanthine/dexamethasone mixture. The results point toward the possibility of interaction between hyaluronic acid and binding proteins.

Scaling relationships for theories of anisotropic random walks applied to tissue optics.

Monte Carlo simulations are used to discern scaling relationships for photon migration occurring within homogeneous, anisotropic scattering media of semi-infinite extent. Special attention is given to events associated with short path lengths. Empirical scaling relationships for path lengths and surface intensities are shown to agree with a consistency equation derived in an earlier study of anisotropic random walks. They are augmented here by a procedure that accounts for concomitant scaling of optical absorption coefficients. Results then are used to transform expressions that were obtained previously by analytical random-walk theory developed for an isotropic scattering model of photon migration. Quantities that are studied include the diffuse surface reflectance, the depth distribution of the fluence, and the time-resolved intensity of backreflected photons.