Your browser doesn't support javascript.
loading
Show: 20 | 50 | 100
Results 1 - 20 de 21
Filter
Add more filters










Publication year range
1.
PLoS One ; 18(9): e0250054, 2023.
Article in English | MEDLINE | ID: mdl-37672538

ABSTRACT

We describe a method for fragmenting, in-situ, surface-adsorbed and immobilized DNAs on polymethylmethacrylate(PMMA)-coated silicon substrates using microfluidic delivery of the cutting enzyme DNase I. Soft lithography is used to produce silicone elastomer (Sylgard 184) gratings which form microfluidic channels for delivery of the enzyme. Bovine serum albumin (BSA) is used to reduce DNase I adsorption to the walls of the microchannels and enable diffusion of the cutting enzyme to a distance of 10mm. Due to the DNAs being immobilized, the fragment order is maintained on the surface. Possible methods of preserving the order for application to sequencing are discussed.


Subject(s)
DNA , Microfluidics , Adsorption , Deoxyribonuclease I , Diffusion
2.
Soft Matter ; 10(34): 6392-403, 2014 Sep 14.
Article in English | MEDLINE | ID: mdl-24930998

ABSTRACT

The effects of CO2 annealing on the melting and subsequent melt crystallization processes of spin-cast poly(ethylene oxide) (PEO) ultrathin films (20-100 nm in thickness) prepared on Si substrates were investigated. By using in situ neutron reflectivity, we found that all the PEO thin films show melting at a pressure as low as P = 2.9 MPa and at T = 48 °C which is below the bulk melting temperature (Tm). The films were then subjected to quick depressurization to atmospheric pressure, resulting in the non-equilibrium swollen state, and the melt crystallization (and/or dewetting) process was carried out in air via subsequent annealing at given temperatures below Tm. Detailed structural characterization using grazing incidence X-ray diffraction, atomic force microscopy, and polarized optical microscopy revealed two unique aspects of the CO2-treated PEO films: (i) a flat-on lamellar orientation, where the molecular chains stand normal to the film surface, is formed within the entire film regardless of the original film thickness and the annealing temperature; and (ii) the dewetting kinetics for the 20 nm thick film is much slower than that for the thicker films. The key to these phenomena is the formation of irreversibly adsorbed layers on the substrates during the CO2 annealing: the limited plasticization effect of CO2 at the polymer-substrate interface promotes polymer adsorption rather than melting. Here we explain the mechanisms of the melt crystallization and dewetting processes where the adsorbed layers play vital roles.

3.
Langmuir ; 26(11): 7682-5, 2010 Jun 01.
Article in English | MEDLINE | ID: mdl-20426433

ABSTRACT

Liquid adsorption on a substrate has great applications in inkjet printing as well as micro/nano fabrication. In this letter, we focus on obtaining a better understanding of the pinning-dewetting phenomenon through solubility measurements during droplet evaporation. The physical adsorption/penetration of liquid on the substrate material is considered to be responsible for the pinning of the three-phase contact line. Once the adsorption surrounding the contact line reaches equilibrium, dewetting occurs and the droplet shrinks. The absorption kinetics of water molecules on different substrates was monitored. An analytical technique was developed to measure the threshold adsorption density of trace solvents on these substrates including different polymers, silicon, and gold.

4.
J Phys Chem B ; 113(29): 9636-9, 2009 Jul 23.
Article in English | MEDLINE | ID: mdl-19603834

ABSTRACT

Cosolvents have numerous applications in many industries as well as scientific research. The shortage in the knowledge of the structures in a cosolvent system is significant. In this work, we display the spatial as well as the kinetic distribution of the cosolvents using droplets as paradigms. When an alcohol/water-containing sessile droplet evaporates on a substrate, it phase segregates into a water-enriched core and a thin alcohol prevailing shell. This is considered to be due to the different escaping rate of solvents out of the liquid-vapor (l-v) interfaces. In between the core and shell phases, there exists a rough and solid-like liquid-liquid (l-l) wall interface as marked by the fluorescent polystyrene spheres and imaged by a confocal microscope. Holes and patches of beads are observed to form on this phase boundary. The water-dispersed beads prefer to partition within the core. The shell prevails in the droplet during most of the drying and shrinks with the l-v boundary. By monitoring the morphological progression of the droplet, the composition of the cosolvent at the liquid-vapor interface is obtained.


Subject(s)
1-Propanol/chemistry , Ethanol/chemistry , Water/chemistry , Kinetics , Solvents/chemistry , Surface Properties , Volatilization
5.
J Colloid Interface Sci ; 318(1): 103-9, 2008 Feb 01.
Article in English | MEDLINE | ID: mdl-17942107

ABSTRACT

Monolayers of organoclay platelets were formed at the air/water interface using the Langmuir technique and were then investigated either by in situ or lifted onto Si wafers and studied ex situ, using X-ray reflectivity (XR) methods. The XR data showed that the surfactant molecules on the clay platelets formed a dense, self-assembled monolayer where the molecules were tilted at an angle of 35 degrees +/-6 degrees from the normal to the dry clay surface. The surfactant layers only covered a fraction of the clay platelet surface area, where the fractional surface coverage for the three clays studied (C6A, C15A, and C20A) was found to be 0.90, 0.86, and 0.73, respectively. These values were significantly higher than those estimated from the cation exchange capacity (CEC) values. Rather than being uniformly distributed, the surfactant was clustered in patchy regions, indicating that the surface of the clay platelets had both polar and non-polar segments. This heterogeneity confirmed the hypothesis which was previously invoked to explain the distribution of the clay platelets in melt mixed homopolymer and polymer blend nanocomposites.


Subject(s)
Aluminum Silicates/chemistry , Membranes, Artificial , Nanocomposites/chemistry , Silicon/chemistry , Clay , Microscopy, Atomic Force , Surface Properties
6.
Phys Rev Lett ; 98(8): 088102, 2007 Feb 23.
Article in English | MEDLINE | ID: mdl-17359130

ABSTRACT

We studied the surface migration of DNA chains driven by a dc electric field across localized dielectrophoretic traps. By adjusting the length scale of the trap array, separation of a selected band of DNA was accomplished with a scaling exponent between mobility and number of base pairs similar to that obtained in capillary electrophoresis. We then provided a model, which predicts the trapping and extension of DNA chains at a dielectrophoretic trap responsible for the surface mobility and separation.


Subject(s)
DNA, Viral/chemistry , Electromagnetic Fields , Movement , Electrophoresis , Gold/chemistry , Microscopy, Confocal , Silicon/chemistry , Surface Properties
7.
Small ; 2(6): 766-73, 2006 Jun.
Article in English | MEDLINE | ID: mdl-17193121

ABSTRACT

Nanoscale engineering is one of the most dynamically growing areas at the interface between electronics, physics, biology, and medicine. As there are no safety regulations yet, concerns about future health problems are rising. We investigated the effects of citrate/gold nanoparticles at different concentrations and exposure times on human dermal fibroblasts. We found that, as a result of intracellular nanoparticle presence, actin stress fibers disappeared, thereby inducing major adverse effects on cell viability. Thus, properties such as cell spreading and adhesion, cell growth, and protein synthesis to form the extracellular matrix were altered dramatically. These results suggest that the internal cell activities have been damaged.


Subject(s)
Citric Acid/adverse effects , Fibroblasts/cytology , Fibroblasts/drug effects , Gold/adverse effects , Nanoparticles/adverse effects , Skin/cytology , Skin/drug effects , Cell Adhesion/drug effects , Cell Movement/drug effects , Cell Proliferation/drug effects , Cell Size/drug effects , Cell Survival/drug effects , Cells, Cultured , Citric Acid/chemistry , Fibroblasts/physiology , Gold/chemistry , Humans , Nanoparticles/chemistry
8.
J Phys Chem B ; 110(46): 23022-30, 2006 Nov 23.
Article in English | MEDLINE | ID: mdl-17107140

ABSTRACT

We investigated the differences between the decanethiolate gold nanoparticles synthesized by two different routes: one-phase and two-phase methods. Their properties were compared in bulk and at the air-water interface by transmission electron microscopy (TEM), X-ray reflectivity (XR), extended X-ray absorption fine structure (EXAFS) spectroscopy, X-ray powder diffraction (XRD), thermal gravimetric analysis (TGA), time-of-flight secondary-ion mass spectrometry (TOF-SIMS), electron paramagnetic resonance (EPR), and Langmuir-Blodgett technique. The mean nanoparticles sizes obtained by EXAFS and XRD were found to be smaller than those by the TEM measurements. We explained these differences by the structural disorder and multiple twinning in the nanoparticles. The one-phase particles were found by EXAFS to be smaller and had a higher grafting density of thiol chains than the two-phase particles. We attributed these differences to the enhanced disorder of the one-phase particles. At the air-water interface, the one-phase particles did not spread, while the two-phase particles spread and formed Langmuir films. TEM and XR results revealed that the close-packed monolayer of the two-phase particles collapsed and folded into multilayer films upon further compression.

9.
Macromol Biosci ; 6(10): 811-7, 2006 Oct 20.
Article in English | MEDLINE | ID: mdl-17022092

ABSTRACT

A facile fabrication of a cross-linked hyaluronic acid (HA) hydrogel nanofibers by a reactive electrospinning method is described. A thiolated HA derivative, 3,3'-dithiobis(propanoic dihydrazide)-modified HA (HA-DTPH), and poly(ethylene glycol) diacrylate (PEGDA) are selected as the cross-linking system. The cross-linking reaction occurs simultaneously during the electrospinning process using a dual-syringe mixing technique. Poly(ethylene oxide) (PEO) is added into the spinning solution as a viscosity modifier to facilitate the fiber formation and is selectively removed with water after the electrospinning process. The nanofibrous structure of the electrospun HA scaffold is well preserved after hydration with an average fiber diameter of 110 nm. A cell morphology study on fibronectin (FN)-adsorbed HA nanofibrous scaffolds shows that the NIH 3T3 fibroblasts migrate into the scaffold through the nanofibrous network, and demonstrate an elaborate three-dimensional dendritic morphology within the scaffold, which reflects the dimensions of the electrospun HA nanofibers. These results suggest the application of electrospun HA nanofibrous scaffolds as a potential material for wound healing and tissue regeneration. [image: see text] Laser scanning confocal microscopy demonstrates that the NIH3T3 fibroblast develops an extended 3D dendritic morphology within the fibronectin-adsorbed electrospun HA nanofibrous scaffold.


Subject(s)
Hyaluronic Acid/chemistry , Hydrogel, Polyethylene Glycol Dimethacrylate/chemistry , Nanotubes/chemistry , Syringes/standards , Tissue Engineering/methods , Animals , Cross-Linking Reagents/chemistry , Dendritic Cells/physiology , Materials Testing , Mice , Microscopy, Confocal , Microscopy, Electron, Scanning , Molecular Conformation , Molecular Structure , NIH 3T3 Cells
10.
Anal Chem ; 78(14): 4743-51, 2006 Jul 15.
Article in English | MEDLINE | ID: mdl-16841891

ABSTRACT

We demonstrate that electrophoresis on a flat Si substrate is an effective method in separation of DNA with different configurations, e.g., linear, supercoiled, and relaxed or DNA of different length, e.g., supercoiled DNA ladder. The surface separation arises from the different number of contacts due to the conformational differences between adsorbed DNA chains. Imposing a Au nanopattern on the Si surface further improves the separation effect. The simulation of electric field on this patterned surface by the finite element method shows that Au nanodots act as local pinning points for DNA segments due to dielectrophoretic force. The results of molecular dynamics simulation showed that the conformational differences between adsorbed polymer chains were amplified on the patterned surface and enhanced separations were achieved, which are consistent with the experimental results.


Subject(s)
DNA/chemistry , DNA/isolation & purification , Nanostructures/chemistry , Computer Simulation , DNA, Superhelical/chemistry , DNA, Superhelical/isolation & purification , Electrons , Gold/chemistry , Microscopy, Electron, Scanning , Nanostructures/ultrastructure , Plasmids/chemistry , Plasmids/isolation & purification , Surface Properties
11.
Langmuir ; 22(14): 6308-12, 2006 Jul 04.
Article in English | MEDLINE | ID: mdl-16800691

ABSTRACT

The evaporation kinetics of droplets containing DNA was studied, as a function of DNA concentration. Drops containing very low DNA concentrations dried by maintaining a constant base, whereas those with high concentration dried with a constant contact angle. To understand this phenomenon, the distribution of the DNA inside the droplet was measured using confocal microscopy. The results indicated that the DNA was condensed mostly on the surface of the droplets. In the case of high concentration droplets, it formed a shell, whereas isolated islands were found for droplets of low DNA concentrations. Rheologic results indicate the formation of a hydro gel in the low concentration drops, whereas phase separation between the self-assembled DNA structures and the water phase occurred at higher concentration.


Subject(s)
Bacteriophage lambda/chemistry , DNA, Viral/chemistry , Desiccation , Microscopy, Confocal , Surface Properties
12.
Electrophoresis ; 27(7): 1312-21, 2006 Apr.
Article in English | MEDLINE | ID: mdl-16518776

ABSTRACT

In order to increase the separation rate of surface electrophoresis while preserving the resolution for large DNA chains, e.g., genomic DNA, the mobility and diffusion of Lambda DNA chains adsorbed on flat silicon substrate under an applied electric field, as a function of migration distance, ionic strength, and field intensity, were studied using laser fluorescence microscope. The mobility was found to follow a power law with the field intensity beyond a certain threshold. The detected DNA peak width was shown to be constant with migration distance, slightly smaller with stronger field intensity, but significantly decreased with higher ionic strength. The molecular dynamics simulation demonstrated that the peak width was strongly related with the conformation of DNA chains adsorbed onto surface. The results also implied that there was no diffusion of DNA during migration on surface. Therefore, the Nernst-Einstein relation is not valid in the surface electrophoresis and the separation rate could be improved without losing resolution by decreasing separation distance, increasing buffer concentration, and field intensity. The results indicate the fast separation of genomic DNA chains by surface electrophoresis is possible.


Subject(s)
DNA/chemistry , DNA/isolation & purification , Electrophoresis , Bacteriophage lambda/chemistry , Bacteriophage lambda/genetics , Diffusion , Electricity , Osmolar Concentration , Surface Properties
13.
Biomaterials ; 27(20): 3782-92, 2006 Jul.
Article in English | MEDLINE | ID: mdl-16556462

ABSTRACT

A three-dimensional (3D) hyaluronic acid (HA) nanofibrous scaffold was successfully fabricated to mimic the architecture of natural extracellular matrix (ECM) based on electrospinning. Thiolated HA derivative, 3,3'-dithiobis(propanoic dihydrazide)-modified HA (HA-DTPH), was synthesized and electrospun to form 3D nanofibrous scaffolds. In order to facilitate the fiber formation during electrospinning, Poly (ethylene oxide) (PEO) was added into the aqueous solution of HA-DTPH at an optimal weight ratio of 1:1. The electrospun HA-DTPH/PEO blend scaffold was subsequently cross-linked through poly (ethylene glycol)-diacrylate (PEGDA) mediated conjugate addition. PEO was then extracted in DI water to obtain an electrospun HA-DTPH nanofibrous scaffold. NIH 3T3 fibroblasts were seeded on fibronectin-adsorbed HA-DTPH nanofibrous scaffolds for 24h in vitro. Fluorescence microscopy and laser scanning confocal microscopy revealed that the 3T3 fibroblasts attached to the scaffold and spread, demonstrating an extended dendritic morphology within the scaffold, which suggests potential applications of HA-DTPH nanofibrous scaffolds in cell encapsulation and tissue regeneration.


Subject(s)
Hyaluronic Acid , Nanostructures , Polymers/chemistry , Animals , Biocompatible Materials/chemistry , Cell Shape , Electrochemistry/instrumentation , Electrochemistry/methods , Ethylene Oxide/chemistry , Extracellular Matrix/chemistry , Extracellular Matrix/ultrastructure , Fourier Analysis , Hyaluronic Acid/chemistry , Hyaluronic Acid/ultrastructure , Materials Testing , Mice , Molecular Structure , Molecular Weight , NIH 3T3 Cells , Nanostructures/chemistry , Nanostructures/ultrastructure , Polyethylene Glycols/chemistry , Porosity , Tissue Engineering/methods
14.
Langmuir ; 22(2): 807-16, 2006 Jan 17.
Article in English | MEDLINE | ID: mdl-16401135

ABSTRACT

We compared the characteristics of dodecanethiolate palladium nanoparticles synthesized by two different techniques, a one-phase method and a two-phase method. From transmission electron microscopy (TEM), we determined that the particle sizes were 46 +/- 10 angstroms and 20 +/- 5 angstroms for the one- and two-phase particles, respectively. Electron diffraction confirmed that their structure was face-centered cubic (fcc). The lattice constant a0 was 3.98 +/- 0.01 angstroms and 3.90 +/- 0.01 angstroms for the one- and two-phase particles, respectively. High-resolution TEM (HRTEM) showed that the one-phase particles had an ordered core surrounded by a disordered shell structure, while the two-phase particles appeared to be crystalline throughout. The particles were also analyzed with extended X-ray absorption fine structure (EXAFS). A cuboctahedral fcc model was used to fit the data, which implied particle sizes of less than 10 angstroms for both the one- and two-phase particles. The discrepancy between the two techniques was attributed to the presence of a disordered phase, which we presumed was composed of Pd-S compounds. Compared with the bulk palladium, lattice expansion was observed in both one- and two-phase particles by electron diffraction, HRTEM, and EXAFS. At the air/water interface, a uniform film that produced surface pressure/area isotherms could only be obtained from the two-phase particles. The one-phase particles did not wet the water surface. X-ray reflectivity data indicated that the Langmuir monolayer of the two-phase particles was only 13 angstroms thick. TEM revealed the diameter of the particles in this layer to be 23 angstroms; hence the particles assumed an oblate structure after spreading. EXAFS examination of a stack of 750 Langmuir monolayers indicated far fewer Pd-S compounds, which may have dissolved in the water. The data were consistent with a model of a monolayer of truncated cuboctahedron Pd particles that were 7 angstroms thick and 19 angstroms in diameter.

15.
Langmuir ; 22(3): 1321-8, 2006 Jan 31.
Article in English | MEDLINE | ID: mdl-16430300

ABSTRACT

Electrospinning has been emerging as one of the most efficient methods to fabricate polymer nanofibers. In this paper, PS/clay nanocomposite fibers with varying diameters were electrospun onto solid substrates. The fiber diameters were adjusted from 4 microm to 150 nm by changing the solution concentration. Scanning electron microscopy (SEM), transmission electron microscopy (TEM), and atomic force microscopy (AFM) were used to characterize the fiber morphology. Shear modulation force microscopy (SMFM) was utilized to investigate the surface nanomechanical properties of electrospun fibers as a function of the fiber diameter and temperature. In the absence of clay, no change in T(g) was observed, even though a large increase of shear modulus below the glass transition temperature was found. This effect was postulated to result from the molecular chain alignment during electrospinning. The addition of functionalized clays to the spinning solution produced fibers with a highly aligned montmorillonite layer structure at a clay concentration of 4 wt %. Clay agglomerates were observed at higher concentrations. The existence of clay further enhanced the shear modulus of fibers and increased the glass transition temperature by nearly 20 degrees C.

16.
J Phys Chem B ; 109(43): 20554-7, 2005 Nov 03.
Article in English | MEDLINE | ID: mdl-16853660

ABSTRACT

In this paper, we discuss the factors affecting drop evaporation. We found that the droplet morphology at a specific temperature was controlled by the physical properties of the liquid itself, such as the molecular weight, density, diffusion coefficient in air, and heat of vaporization. Two processes are included in drop evaporation: diffusion of liquid molecules into the air (diffusion part) and flow of the liquid molecules from inside the drop to the free outer shell liquid layer within the liquid-vapor interface (evaporation part). The diffusion part remained steady during drying and was not sensitive to the variation of temperature. The evaporation part, however, was an active factor and determined the differences in drop evaporation behaviors.

17.
Dermatology ; 208(2): 112-9, 2004.
Article in English | MEDLINE | ID: mdl-15056999

ABSTRACT

BACKGROUND: Accurate measurement of the mechanical properties of skin has numerous implications in surgical repair, dermal disorders and the diagnosis and treatment of trauma to the skin. Investigation of facial wrinkle formation, as well as research in the areas of skin aging and cosmetic product assessment can also benefit from alternative methodologies for the measurement of mechanical properties. OBJECTIVE: A noncontact, noninvasive technique, digital image speckle correlation (DISC), has been successfully introduced to measure the deformation field of a skin sample loaded by a material test machine. With the force information obtained from the loading device, the mechanical properties of the skin, such as Young's modulus, linear limitation and material strength, can be calculated using elastic or viscoelastic theory. METHODS: The DISC method was used to measure the deformation of neonatal rat skin, with and without a glycerin-fruit-oil-based cream under uniaxial tension. RESULTS: Deformation to failure procedure of newborn rat skin was recorded and analyzed. Single skin layer failures were observed and located by finding the strain concentration. Young's moduli of freshly excised rat skin, cream-processed rat skin and unprocessed rat skin, 24 h after excision, were found with tensile tests to be 1.6, 1.4 and 0.7 MPa, respectively. CONCLUSION: Our results have shown that DISC provides a novel technique for numerous applications in dermatology and reconstructive surgeries.


Subject(s)
Diagnostic Imaging/methods , Skin Physiological Phenomena , Skin/ultrastructure , Animals , Animals, Newborn , Culture Techniques , Elasticity , Epidermis/anatomy & histology , Epidermis/ultrastructure , Female , Male , Rats , Sensitivity and Specificity , Skin/anatomy & histology , Stress, Mechanical , Tensile Strength
18.
J Biomed Mater Res A ; 64(4): 684-92, 2003 Mar 15.
Article in English | MEDLINE | ID: mdl-12601780

ABSTRACT

Extracellular matrix (ECM) protein adsorption and organization serves as a critical first step in the development and organization of tissues. Advances in tissue engineering, therefore, will depend on the ability to control the rate and pattern of ECM formation. Fibronectin is a prominent component of the ECM, which undergoes fibrillogenesis in the presence of cells. Using sulfonated polysyrene surfaces, we showed that fibronectin undergoes a transition from monolayer to multilayer adsorption at calculated surface charge densities above 0.03 Coulombs (C)/m(2). At charge densities above approximately 0.08 C/m(2), distinct fibronectin fibrillar networks are observed to form with a fibril morphology similar to those observed to form in situ on cell surfaces. This self-organization process is time dependent, with the fibrils achieving dimensions of 30-40 microm in length and 1 microm in height after 72 h of incubation. We suggest that the polarization of charge domains on the polyampholytic fibronectin molecules near high charge density surfaces is sufficient to initiate the multilayer adsorption and the organization of these fibrillar structures. These results suggest that the nonlinear dependence of adsorption on surface charge density may play an important role in the self-organization of many matrix components.


Subject(s)
Alkanesulfonates/metabolism , Fibronectins/metabolism , Polystyrenes/metabolism , Protein Conformation , Adsorption , Animals , Cattle , Extracellular Matrix/chemistry , Extracellular Matrix/metabolism , Fibronectins/chemistry , Surface Properties
19.
Electrophoresis ; 23(16): 2618-25, 2002 Aug.
Article in English | MEDLINE | ID: mdl-12210165

ABSTRACT

We demonstrate that it is possible to separate a broad band of DNA on a solid substrate without topological obstacles. The mobility was found to scale with molecular size (N) as N(-0.25), while the resolution scaled as N(0.75) indicating that diffusivity on this substrate was minimal. By varying the buffer concentration we were able to show that the mobility for a given chain length scaled with the persistent length (p) as p(1/2). This could be shown to be related to the Gaussian conformation of the chains adsorbed on the surface. A two-dimensional corrugated surface of nonporous silica beads was produced using a self-assembling process at the air/water interface. Even though the surface corrugations were comparable to persistence length we show that they do not affect the mobility, indicating that surface friction rather than topological constraints are the predominant mechanism of separation on a surface.


Subject(s)
DNA/isolation & purification , Electrophoresis/methods , Adsorption , DNA/metabolism , Electrophoresis/instrumentation , Equipment Design , Microspheres , Models, Chemical , Nucleic Acid Conformation , Sensitivity and Specificity , Silicon Dioxide , Surface Properties
20.
Phys Rev Lett ; 89(12): 125506, 2002 Sep 16.
Article in English | MEDLINE | ID: mdl-12225099

ABSTRACT

We report an anomalous swelling of polymer thin films in carbon dioxide (CO(2)) which is associated (in both locus and form) with the density fluctuation ridge that forms along the extension of the coexistence curve of gas and liquid in the P-T phase diagram. Neutron reflectivity results showed that CO(2) could be sorbed to a large extent ( approximately 60%) in thin polymer films even when the bulk miscibility of the polymer with CO(2) is very poor. The anomalous swelling is found to scale with the polymer radius of gyration (R(g)) and extends to a distance approximately 10 R(g).

SELECTION OF CITATIONS
SEARCH DETAIL
...