Electrophoresis of proteins in semidilute polyethylene glycol solutions: Mechanism of retardation

The retardation of proteins in the M_t range of 15–500 kDa in capillary electrophoresis conducted in semidilute solutions of the polymer polyethylene glycol (M_t range 0.2–8.0 × 10⁶), was measured. The purpose was to test the predictions of the scaling theory with regard to the relation of retardation to (a) the M_t of the polymer, (b) the concentration of the polymer, and (c) the radius of the protein particles. These predictions derive from a mechanism that relates retardation to the screening length of the polymer solution, viewed as the average distance between the entanglement points of polymer chains. For the molecular weight range from 60 to 500 kDa of (near) spherical proteins, the retardation was found to be related to polymer concentration c asμ/μ_o = exp(-Ac^0.69)where μ/μ₀ is the retardation expressed as the ratio between the mobility in polymer solution and that in free solution. The value of the exponent of 0.69 is in close agreement with the value of 0.75 predicted by the scaling theory. Parameter A was found (a) to scale as the 0.04th power of M_t (polymer), approximating the predicted value of 0; and (b) to be proportional to particle radius as predicted. All measured values of retardation were independent of electric field strength in the range of 37–370 V/cm. Thus, experimental findings are consistent with the mechanism relating electrophoretic retardation to the screening length of the polymer network in the specified molecular weight range of proteins. Under the same conditions, log(μ/μ₀) of proteins with M_t's less than 60 kDa (a) scales as the −0.06th power of M_t (polymer), and (b) is proportional to polymer concentration, suggesting a retardation mechanism that is not related to the screening length. © 1997 John Wiley & Sons, Inc. Biopoly 42: 183–189, 1997     

Native conformation of human von Willebrand protein. Analysis by electron microscopy and quasi-elastic light scattering

von Willebrand factor (vWF) was analyzed by electron microscopic and quasi-elastic light scattering techniques in order to evaluate the size and shape of this heterogeneous polymeric plasma glycoprotein. Electron micrographs demonstrated that native vWF molecules are flexible, linear polymers, ranging in contour length from 100 to 1300 nm. In their typical configuration, the polymers were coiled upon themselves with maximal diameters ranging from 60 to 200 nm. Individual repeating protomeric subunits were discernible in occasionally noted, uncoiled polymers and measured 100 nm X 1.5-2.0 nm. Quasi-elastic light scattering analysis confirmed that measurements of the size and shape of purified vWF molecules in solution were similar to those obtained with electron microscopic techniques. In addition, the mean Stokes radius and mean radius of gyration assessed by quasielastic light scattering were directly related over a wide range of values, as were the diameter and contour length measured from electron micrographs, suggesting that the overall shape of polymers does not change with increasing size. This study supports the concept that native vWF molecules are flexible, linear polymers. In addition, this study clearly shows that the polymer configuration assessed from electron micrographs is a valid representation of the configuration of the polymer in solution. The data presented also provide the first evidence for a well-defined, repeating protomeric subunit.     

Increases in the particle size of high-density lipoproteins induced by purified lecithin: cholesterol acyltransferase: effect of low-density lipoproteins

Homogeneous subpopulations of human high-density lipoproteins subfraction-3 (HDL3) have been incubated at 37 degrees C with purified lecithin: cholesterol acyltransferase, human serum albumin and varying concentrations of human low-density lipoproteins (LDL). Changes in HDL particle size and composition during these incubations were monitored. Incubation of HDL3a (particle radius 4.3 nm) in the absence of LDL resulted in an esterification of more than 70% of the HDL free cholesterol after 24 h of incubation. This, however, was sufficient to increase the HDL cholesteryl ester by less than 10% and was not accompanied by any change in particle size. When this mixture was incubated in the presence of progressively increasing concentrations of LDL, which donated free cholesterol to the HDL, the molar rate of production of cholesteryl ester was much greater; at the highest LDL concentration HDL cholesteryl ester content was almost doubled after 24 h and there was an increase in the HDL particle size up to the HDL2 range. In the case of HDL3b (radius 3.9 nm), there were again only minimal changes in particle size in incubations not containing LDL. In the presence of the highest concentration of LDL tested, however, the particles were again enlarged into the HDL2 size range after 24 h incubation. These HDL2-like particles were markedly enriched with cholesteryl ester but depleted of phospholipid and free cholesterol when compared with native HDL2. Furthermore, the ratio of apolipoprotein A-I to apolipoprotein A-II resembled that in the parent-HDL3 and was very much lower than that in native HDL2. It has been concluded that purified lecithin: cholesterol acyltransferase is capable of increasing the size of HDL3 towards that of HDL2 but that other factors must operate in vivo to modulate the chemical composition of the enlarged particles.     

Structural basis of the cofactor function of denatured albumin in plasminogen activation by tissue-type plasminogen activator

Certain denatured proteins function as cofactors in the activation of plasminogen by tissue-type plasminogen activator. The present study approached the structural requirements for the cofactor activity of a model protein (human serum albumin). Heat denaturation of 100-230 microM albumin (80 degrees C and 60-90 min) reproducibly yielded aggregates with radius in the range of 10-150 nm. The major determinant of the cofactor potency was the size of the aggregates. The increase of particle size correlated with the cofactor activity, and there was a minimal requirement for the size of the cofactor (about 10 nm radius). Similar to other proteins, the molecular aggregates with cofactor function contained a significant amount of antiparallel intermolecular beta-sheets. Plasmin pre-digestion increased the cofactor efficiency (related to C-terminal lysine exposure) and did not affect profoundly the structure of the aggregates, suggesting a long-lasting and even a self-augmenting cofactor function of the denatured protein.     

Size effects on diffusion processes within agarose gels

To investigate diffusion processes in agarose gel, nanoparticles with sizes in the range between 1 and 140 nm have been tested by means of fluorescence correlation spectroscopy. Understanding the diffusion properties in agarose gels is interesting, because such gels are good models for microbial biofilms and cells cytoplasm. The fluorescence correlation spectroscopy technique is very useful for such investigations due to its high sensitivity and selectivity, its excellent spatial resolution compared to the pore size of the gel, and its ability to probe a wide range of sizes of diffusing nanoparticles. The largest hydrodynamic radius (R(c)) of trapped particles that displayed local mobility was estimated to be 70 nm for a 1.5% agarose gel. The results showed that diffusion of particles in agarose gel is anomalous, with a diverging fractal dimension of diffusion when the large particles become entrapped in the pores of the gel. The latter situation occurs when the reduced size (R(A)/R(c)) of the diffusing particle, A, is >0.4. Variations of the fractal exponent of diffusion (d(w)) with the reduced particle size were in agreement with three-dimensional Monte Carlo simulations in porous media. Nonetheless, a systematic offset of d(w) was observed in real systems and was attributed to weak nonelastic interactions between the diffusing particles and polymer fibers, which was not considered in the Monte Carlo simulations.     

3-D particle tracking in a two-photon microscope: application to the study of molecular dynamics in cells

We developed a method for tracking particles in three dimensions designed for a two-photon microscope, which holds great promise to study cellular processes because of low photodamage, efficient background rejection, and improved depth discrimination. During a standard cycle of the tracking routine (32 ms), the laser beam traces four circular orbits surrounding the particle in two z planes above and below the particle. The radius of the orbits is half of the x,y-width of the point spread function, and the distance between the z planes is the z-width of the point spread function. The z-position is adjusted by moving the objective with a piezoelectric-nanopositioner. The particle position is calculated on the fly from the intensity profile obtained during the cycle, and these coordinates are used to set the scanning center for the next cycle. Applying this method, we were able to follow the motion of 500-nm diameter fluorescent polystyrene microspheres moved by a nanometric stage in either steps of 20-100 nm or sine waves of 0.1-10 microm amplitude with 20 nm precision. We also measured the diffusion coefficient of fluorospheres in glycerol solutions and recovered the values expected according to the Stokes-Einstein relationship for viscosities higher than 3.7 cP. The feasibility of this method for live cell measurements is demonstrated studying the phagocytosis of protein-coated fluorospheres by fibroblasts.     

Persistence length of titin from rabbit skeletal muscles measured with scattering and microrheology techniques

The persistence length of titin from rabbit skeletal muscles was measured using a combination of static and dynamic light scattering, and neutron small angle scattering. Values of persistence length in the range 9-16 nm were found for titin-II, which corresponds to mainly physiologically inelastic A-band part of the protein, and for a proteolytic fragment with 100-nm contour length from the physiologically elastic I-band part. The ratio of the hydrodynamic radius to the static radius of gyration indicates that the proteins obey Gaussian statistics typical of a flexible polymer in a -solvent. Furthermore, measurements of the flexibility as a function of temperature demonstrate that titin-II and the I-band titin fragment experience a similar denaturation process; unfolding begins at 318 K and proceeds in two stages: an initial gradual 50% change in persistence length is followed by a sharp unwinding transition at 338 K. Complementary microrheology (video particle tracking) measurements indicate that the viscoelasticity in dilute solution behaves according to the Flory/Fox model, providing a value of the radius of gyration for titin-II (63 +/- 1 nm) in agreement with static light scattering and small angle neutron scattering results.     

Extractable proteoglycan from human femoral-head articular cartilage.

Proteoglycans were prepared from human femoral-head articular cartilage by using either guanidinium hydrochloride or MgCl2 as extractant, followed by density-gradient centrifugation. The proteoglycan subunit had a particle weight of 2.6 x 10(6), with a radius of gyration, RG, of 68.5 nm in 150 mM-NaCl/20 mM-sodium phosphate buffer, pH 7.0. The proteoglycan aggregate had a particle weight of 3.7 x 10(6) (RG 84 nm) for guanidinium hydrochloride extracts and 8.7 x 10(6) (RG 118 nm) for MgCl2 extracts in the same buffer. The addition of excess of high-molecular-weight hyaluronate did not significantly alter the particle size of the aggregate. The small increase in size probably reflects a rapid equilibrium between hyaluronate and proteoglycan monomers, and is not due to proteolytic cleavage producing non-aggregating units. Experiments that support the rapid-interaction hypothesis include analytical ultracentrifugation and column chromatography. This interaction does not appear to be pressure-sensitive at 20 degrees C, but is sensitive to temperature variation near the physiological range.     

Determination of the size distribution of liposomes by SEC fractionation,and PCS analysis and enzymatic assay of lipid content

In this study, small liposomes obtained by high-pressure homogenization were fractionated according to their particle sizes by size exclusion chromatography (SEC). The subfractions were analyzed by photon correlation spectroscopy (PCS) as well as enzymatic phosphatidylcholine (PC) assay for their particle sizes and lipid contents, respectively. For small egg PC-liposomes, a size range of 15 nm to 60 nm was found, with 80% of the vesicles being smaller than 30 nm in size. This is in contradiction to a mean size of 85±32 nm as indicated by PCS without fractionation. The PCS technique appears to underestimate very small particles below 30 nm if (few) bigger particles are present. The PCS particle size analysis of unfractionated hydrogenated egg PC/cholesterol-liposomes (2:1, mole/mole) by PCS did not yield any significant results. On fractionation, however, a particle size range of 40 nm to 120 nm was determined in a reproducible manner. Our results indicate that the combination of size exclusion fractionation with subsequent photon correlation spectroscopic particle size analysis and enzymatic PC assay can give both more detailed and more reliable insight into the particle size distribution of small liposomes than PCS alone. Published: May 15, 2002.     

High density lipoprotein particle size distribution in subjects with obstructive jaundice

High density lipoproteins (HDL) from 14 patients with obstructive jaundice were examined by gradient gel electrophoresis to determine the effect of obstruction on particle size distribution. HDL from 7 of these patients were fractionated by gel permeation chromatography and further characterized by electron microscopy, SDS gel electrophoresis, apolipoprotein A-I and apolipoprotein A-II immunoturbidimetry, and analysis of chemical composition. In addition, lecithin:cholesterol acyltransferase (LCAT) activity was measured and correlated with plasma apolipoprotein A-I concentration and particle size distribution. HDL were abnormal in all patients regardless of severity, cause, or duration of obstruction. The major HDL subfraction in normal subjects, HDL3a (radius 4.1-4.3 nm) was either absent or considerably diminished, and HDL2b (radius 5.3 nm) was also frequently absent. Very small particles comparable in size to normal HDL3c (radius 3.8 nm) were prominent. In patients with a bilirubin concentration greater than 250 mumol/l, normal HDL had totally disappeared and were replaced by large discoidal particles of radius 8.5 nm and small spherical particles of radius 3.6-3.7 nm. Both populations of particles were markedly depleted of cholesteryl ester and enriched in free cholesterol and phospholipid. The discoidal particles were rich in apolipoproteins E, A-I, A-II, and C, while the small spherical particles contained predominantly apolipoprotein A-I. LCAT activity was diminished in all subjects to 8-54% of normal, and was strongly positively correlated (r = 0.91 P less than 0.05) with plasma apolipoprotein A-I levels.     

Diffusion barriers of tripartite sporopollenin microcapsules prepared from pine pollen

Tripartite sporopollenin microcapsules prepared from pine pollen (Pinus sylvestris L. and Pinus nigra Arnold) were analysed with respect to the permeability of the different strata of the exine which surround the gametophyte and form the sacci. The sexine at the surface of the sacci is highly permeable for polymer molecules and latex particles with a diameter of up to 200 nm, whereas the nexine covering the gametophyte is impermeable for dextran molecules, with a Stokes' radius > or =4 nm (Dextran T 70), and for the tetravalent anionic dye Evans Blue (Stokes' radius = 1.3 nm). The central capsules obtained by dissolution of the sporoplasts showed strictly membrane-controlled exchange of non-electrolytes, with half-equilibration times in the range of minutes (monosaccharides, oligosaccharides) to hours (dextran molecules with Stokes' radii up to 2.5 nm). The dependence of the permeability coefficients of the nexine for non-electrolytes on Stokes' radius or molecular weight shows that the aqueous pores through the nexine are inhomogeneous with respect to their size, and that most pores are too narrow for free diffusion of sugar molecules. To explain the barrier function of the nexine for Evans Blue, it is assumed that at least the larger pores, which enable slow permeation of dextran molecules, contain negative charges.     

Casein micelle size from elastic and quasi-elastic light scattering measurements.

The average molecular weight, particle radius and size distribution of particles in skim milk from eight cows in mid-lactation have been measured by means of elastic and quasi-elastic light scattering techniques. The properties of sub-micellar casein particles in the milk of each cow were also studied. Particular attention has been given to the effects of particle size heterogeneity in the interpretation of results. The weight average molecular weight of the particles from different cows varied from 2.6-10(8) to 15-10(8) and the corresponding average particle radius varied between 90 and 130 nm. An unusual feature of these particles is their high water content, which was found to vary from 2.4 to 6.4 ml/g with a positive correlation between average particle density and average particle mass. Variations in particle water content can be most readily understood in terms of a gel-like casein micelle.     

Effects of various non-esterified fatty acids on the particle size redistribution of high density lipoproteins induced by the human cholesteryl ester transfer protein

The effects of various non-esterified fatty acids on the CETP-mediated particle size redistribution of HDL were studied by incubating HDL3 and CETP for 24 h at 37 degrees C in the absence or in the presence of either saturated, monounsaturated or polyunsaturated non-esterified fatty acids. In the absence of non-esterified fatty acids, CETP induced a redistribution of the initial population of HDL3 (Stokes' radius 4.3 nm) by promoting the appearance of one larger (Stokes' radius 4.8 nm) and two smaller (Stokes' radii 3.9 and 3.7 nm) HDL subpopulations. Whereas the non-esterified fatty acids alone did not modify the HDL3 distribution profile, they were able to alter markedly the capacity of CETP to induce the particle size redistribution of HDL. All the saturated fatty acids with at least 10 carbons were able to increase the formation of the very small sized particles (Stokes' radius 3.7 nm) in a concentration dependent manner, the medium chain fatty acids (12 and 14 carbons) being the best activators. The potential effect of non-esterified fatty acids was also influenced by the presence of double bonds in their monomeric carbon chain. While at low concentrations of non-esterified fatty acids (0.1 mmol/l) the enhancement of the formation of very small HDL particles appeared to be greater with oleic and linoleic acids than with stearic acid, at higher concentrations (0.4 mmol/l), oleic, linoleic and arachidonic acids decreased the formation of the 3.7 nm radius particles. The inhibition of the process at high concentrations of unsaturated fatty acids was linked to the degree of unsaturation of their carbon chain, arachidonic acid being the strongest inhibitor. The present study has demonstrated that non-esterified fatty acids can modulate the particle size redistribution of HDL3 mediated by the cholesteryl ester transfer protein even in the absence of any other lipoprotein classes. The effect of non-esterified fatty acid is dependent on both the length and the degree of unsaturation of their monomeric carbon chain.     

The hydrodynamic radii of macromolecules and their effect on red blood cell aggregation

The effects of nonionic polymers on human red blood cell (RBC) aggregation were investigated. The hydrodynamic radius (Rh) of individual samples of dextran, polyvinylpyrrolidone, and polyoxyethylene over a range of molecular weights (1,500-2,000,000) were calculated from their intrinsic viscosities using the Einstein viscosity relation and directly measured by quasi-elastic light scattering, and the effect of each polymer sample on RBC aggregation was studied by nephelometry and low-shear viscometry. For all three polymers, despite their different structures, samples with Rh <4 nm were found to inhibit aggregation, whereas those with Rh >4 nm enhanced aggregation. Inhibition increased with Rh and was maximal at approximately 3 nm; above 4 nm the pro-aggregant effect increased with Rh. For comparison, the Rh of 12 plasma proteins were calculated from literature values of intrinsic viscosity or diffusion coefficient. Each protein known to promote RBC aggregation had Rh >4 nm, whereas those with Rh <4 nm either inhibited or had no effect on aggregation. These results suggest that the influence of a nonionic polymer or plasma protein on RBC aggregation is simply a consequence of its size in an aqueous environment, and that the specific type of macromolecule is of minor importance.     

Mechanism and size cutoff for steric exclusion from actin-rich cytoplasmic domains.

Subdomains of the cytoplasmic volume in tissue culture cells exclude large tracer particles relative to small. Evidence suggests that exclusion of the large particles is due to molecular sieving by the dense meshwork of microfilaments found in these compartments, but exclusion as a result of the close apposition of the dorsal and ventral plasma membrane of the cell in these regions has not been ruled out conclusively. In principle, these two mechanisms can be distinguished by the dependence of exclusion on tracer particle size. By fluorescence ratio imaging we have measured the partition coefficient (P/PO) into excluding compartments for tracer particles ranging in radius from 1 to 41 nm. The decay of P/PO as a function of particle radius is better fitted by three molecular sieving models than by a slit pore model. The sieving models predict a percolation cutoff radius of the order of 50 nm for partitioning into excluding compartments.     

The Rheology of Liquid Pentane Isomers by Non-Equilibrium Molecular Dynamics Simulations

Abstract

In this paper, non-equilibrium molecular dynamics (NEMD) simulations of planar Couette flow are reported for an expanded collapsed atom model for liquid pentane isomers at 273.15 K. The strain rate dependent viscosity for liquid pentane isomers exhibits shear-thinning and a linear dependence on γ^1/2. Newtonian viscosities for liquid pentane isomers obtained by a linear extrapolation to zero strain rate are: 0.256cP for normal pentane, 0.219cP for isopentane, and 0.168cP for neopentane. The strain rate dependent pressure difference and normal stress difference vary nearly linearly with the γ^3/2 law and the γ law, respectively, for all three liquid pentane isomers. The overall trend of the square of radius of gyration and end-to-end distance for normal pentane is a linear increase with strain rate. For isopentane, the trend hardly changes for the range of shear rate in this study. The alignment angle decreases with increasing strain rate and the alignment angle of the straight chain alkane is less than that of the branched chain alkane. The average percentage of C?C?C?C trans for normal pentane as a function of strain rate is in excellent correlation with the square of the radius of gyration and the average end-to-end distance. Applying the strain rate in the x-direction, the alignment angle is forced to decrease and the percentage of C?C?C?C trans increases with increasing strain rate.     

Interaction of human-plasma low-density lipoproteins with discoidal complexes of apolipoprotein A-I and phosphatidylcholine, and characterization of the interaction products

Interaction of human low-density lipoproteins (LDL) with discoidal complexes comprised of egg yolk phosphatidylcholine and human apolipoprotein A-I (molar ratio, 88:1, respectively) was investigated. The multicomponent gradient gel electrophoretic pattern of LDL is transformed to one that includes a predominant component with an apparent particle diameter larger than that of the initial major LDL but still in the size range of normal LDL. The apparent particle diameter increase (range, 0.2-3.5 nm) is proportional to the increase (range, 6-40%) in LDL phospholipid/protein weight ratio following incubation (37 degrees C; 6 and 24 h); the smaller the initial LDL diameter, the greater the apparent particle diameter increase and percentage of phospholipid uptake. The LDL unesterified cholesterol/protein weight ratio decreases (range, 33-39%), but does not correlate with the increase in apparent particle diameter value. Interaction products are round particles with intact apolipoprotein B and show no evidence of phospholipid degradation. The products appear more dense than expected from the size vs. density relationship observed for nonincubated LDL subspecies. In addition to products in the normal LDL size range, larger components (apparent particle diameter range, 29.0-41.2 nm) also form and may be association complexes of phospholipid-modified LDL. Our results indicate that phospholipid uptake by LDL may contribute to the particle size polydispersity observed in plasma LDL.     

Human plasma lipid transfer protein catalyzes the speciation of high density lipoproteins

The role of purified plasma lipid transfer protein complexes in determining the particle size distribution of human plasma high density lipoproteins (HDL) was examined in vitro. Incubation of HDL2 or HDL3, isolated from normolipemic subjects with very low density lipoproteins (VLDL) or VLDL-remnants and lipid transfer protein complex had little or no effect on HDL particle size. In contrast, HDL isolated from patients with hypertriglyceridemia, designated HDL3D, showed speciation of particle size distribution when incubated with VLDL-remnants and the transfer protein. Incubation of HDL3D with VLDL-remnants and lipid transfer complex resulted in the production of two particles of radius 4.3 and 3.7 nm; incubation with VLDL or in the absence of the transfer protein did not result in a redistribution of particle size. We suggest that the action of lipid transfer protein complex on triacylglycerol-rich lipoprotein remnants and HDL accounts for the low levels of HDL-cholesterol observed in subjects with severe hypertriglyceridemia.     

Quantitative Analysis of the Correlation between Cell Size and Cellular Uptake of Particles

The size of a cell is central to many functions, including cellular communication and exchange of materials with the environment. This modeling and experimental study focused on understanding how the size of a cell determines its ability to uptake nanometer-scale extracellular materials from the environment. Several mechanisms in the cell plasma membrane mediate cellular uptake of nutrients, biomolecules, and particles. These mechanisms involve recognition and internalization of the extracellular molecules via endocytic components, such as clathrin-coated pits, vacuoles, and micropinocytic vesicles. Because the demand for an external resource could be different for cells of different sizes, the collective actions of these various endocytic routes should also vary based on the cell size. Here, using a reaction-diffusion model, we analyze single-cell data to interrogate the one/one mapping between the size of the MDA-MB 231 breast cancer cells and their ability to uptake nanoparticles. Our analysis indicates that under both reaction- and diffusion-controlled regimes, cellular uptake follows a linear relationship with the cell radius. Furthermore, this linear dependency is insensitive to particle size variation within 20–200 nm range. This result is counterintuitive because the general perception is that cellular uptake is proportional to the cell volume (mass) or surface area and hence follow a cubic or square relationship with the cell radius. A further analysis using our model reveals a potential mechanism underlying this linear relationship.     

Polymer-DNA hybrid nanoparticles based on folate-polyethylenimine-block-poly(L-lactide)

The ability of amphiphilic block copolymers that consist of polyethylenimine (PEI) and poly(L-lactide) (PLLA) to modulate the delivery of plasmid DNA was evaluated. Folate-polyethylenimine-block-poly(l-lactide) (folate-PEI-PLLA) was synthesized by linking folic acid and PLLA to PEI diamine. Water-soluble polycation PEI provides gene-loading capability. Additionally, PEI is considered to exhibit high transfection efficiency and endosomal disrupting capacity. Hydrophobic PLLA that is incorporated into the gene delivery vector is believed to enhance the cell interactions and tissue permeability of the delivery system. Polymeric carrier containing folic acid is expected to be able to identify tumor surface receptors and transfect cells by receptor-mediated endocytosis. The results of agarose retardation assay indicated that the folate-PEI-PLLA began to form polyplexes at a polymer/DNA weight ratio (P/D) of over 10, whereas branched polyethylenimine (B-PEI) formed polyplexes with DNA at a ratio of above 1. The spherical particle morphology was supplemented with a particle size of approximately 100 nm at 10 P/D ratio. The results indicated that folate-PEI-PLLA with proper PEI/PLLA ratio effectively reduced cytotoxicity and maintained acceptable transfection efficiency. Low cytotoxicity of the folate-PEI-PLLA gives an advantage to high-dose administration.