Effects of excluded surface area and adsorbate clustering on surface adsorption of proteins I. Equilibrium models

Statistical-thermodynamic models for the equilibrium adsorption of proteins onto homogeneous, locally planar surfaces are presented. An extension of earlier work [R.C. Chatelier, A.P. Minton, Biophys. J. 71 (1996) 2367], the models presented here allow for the formation of a broadly heterogeneous population of adsorbate clusters in addition to excluded volume interactions between all adsorbate species. Calculations are carried out for three simple models for the structure of adsorbate, illustrating similarities and differences in the equilibrium properties of maximally compact clusters, minimally compact clusters and isomerizing clusters. Depending upon the strength of attractive interactions between adsorbate molecules, the resulting equilibrium isotherms may exhibit negative cooperativity, positive cooperativity, essentially no apparent cooperativity, or a mixture of positive cooperativity at low surface density and negative cooperativity at high surface density of adsorbate. The condition of apparent lack of cooperativity, which might naively be interpreted as evidence of a lack of interaction between adsorbate molecules, actually conceals a balance between attractive and repulsive interactions and extensive clustering of adsorbate.     

Surface-induced aggregation of ferritin. Kinetics of adsorption to a hydrophobic surface

The adsorption of ferritin from a water solution to a hydrophobic methylised quartz surface was studied by transmission electron microscopy, allowing direct examination of the iron core of the molecule without further preparation. The initial adsorption was seen to result in small clusters of molecules, the number of sites/cm(2) being concentration dependent. The adsorption process continued via cluster growth. The rate of adsorption increased and the process became mass transport limited. The clusters formed initially had low fractal dimensions (D approximately 1.0) and a coordination number, cn of 2.6-2.8, which increased with time. These clusters were abruptly restructured at a coordination number of 3.5, and the apparent rate of adsorption decreased during the reorganisation of the adsorbed layer. Finally, an equilibrium level was reached which was stable for at least 24 h. The distribution of ferritin molecules at equilibrium was in clusters with a fractal dimension of D = 1.14 +/- 0.16 and D= 1.33 +/- 0.08, respectively, for ferritin concentrations in the bulk of 10 and 100 microg/ml. Rinsing of adsorbed ferritin layers with buffered salt solution resulted in a rapid transient condensation of the clusters, but the net dissociation of protein was slow with the rate of dissociation being proportional to the logarithm of time. The condensed clusters were slowly restructured to linear polymers of ferritin molecules with a coordination number of 1.9 after 24 h of rinsing. The dissociation of protein molecules continued slowly for more than 3 days of rinsing. The results of the present study indicate that the rate of protein adsorption and desorption is strongly related to the supramolecular structure of the adsorbed protein film. Dense clusters of protein are not stable and this phenomenon may explain the formation of a dynamic equilibrium in spite of the fact that protein adsorption to a solid phase may appear to be practically irreversible.     

Adsorption of globular proteins on locally planar surfaces: models for the effect of excluded surface area and aggregation of adsorbed protein on adsorption equilibria.

Equilibrium statistical-thermodynamic models are presented for the surface adsorption of proteins modeled as regular convex hard particles. The adsorbed phase is treated as a two-dimensional fluid, and the chemical potential of adsorbed protein is obtained from scaled particle theory. Adsorption isotherms are calculated for nonassociating and self-associating adsorbing proteins. Area exclusion broadens adsorption isotherms relative to the Langmuir isotherm (negative cooperativity), whereas self-association steepens them (positive cooperativity). The calculated isotherm for adsorption of hard spheres using scaled particle theory for hard discs agrees well with that calculated from the hard disc virial expansion. As the cross section of the adsorbing protein in the plane of the surface becomes less discoidal, the apparent negative cooperativity manifested in the isotherm becomes more pronounced. The model is extended to the case of simultaneous adsorption of a tracer protein at low saturation and a competitor protein with a different size and/or shape at arbitrary fractional saturation. Area exclusion by competitor for tracer (and vice versa) is shown to substantially enhance the displacement of tracer by competitor and to qualitatively invalidate the standard interpretation of ligand competition experiments, according to which the fractional displacement of tracer by competitor is equal to the fractional saturation by competitor.     

Correlation between surface morphology and surface forces of protein A adsorbed on mica.

We have investigated the morphology and surface forces of protein A adsorbed on mica surface in the protein solutions of various concentrations. The force-distance curves, measured with a surface force apparatus (SFA), were interpreted in terms of two different regimens: a "large-distance" regimen in which an electrostatic double-layer force dominates, and an "adsorbed layer" regimen in which a force of steric origin dominates. To further clarify the forces of steric origin, the surface morphology of the adsorbed protein layer was investigated with an atomic force microscope (AFM) because the steric repulsive forces are strongly affected by the adsorption mode of protein A molecules on mica. At lower protein concentrations (2 ppm, 10 ppm), protein A molecules were adsorbed "side-on" parallel to the mica surfaces, forming a monolayer of approximately 2.5 nm. AFM images at higher concentrations (30 ppm, 100 ppm) showed protruding structures over the monolayer, which revealed that the adsorbed protein A molecules had one end oriented into the solution, with the remainder of each molecule adsorbed side-on to the mica surface. These extending ends of protein A overlapped each other and formed a "quasi-double layer" over the mica surface. These AFM images proved the existence of a monolayer of protein A molecules at low concentrations and a "quasi-double layer" with occasional protrusions at high concentrations, which were consistent with the adsorption mode observed in the force-distance curves.     

Surface-induced aggregation of ferritin. Concentration dependence of adsorption onto a hydrophobic surface

The isotherm of ferritin adsorption onto a hydrophobic surface was studied by transmission electron microscopy. Adsorbed ferritin was found to be distributed in molecular clusters. The adsorption process was diffusion-rate-limited after 20 h adsorption time at bulk concentrations below 1 mg/1. The clusters formed during the diffusion-rate-limited adsorption had a fractal dimension D approximately 1.0 when averaged over all clusters. The pair distribution function g(r) showed an increased probability of finding nearest neighbours at distances less than 30 nm. The surface concentration of adsorbed ferritin was weakly dependent on the bulk concentration of ferritin in the range 10 mg/1-10 g/1 and the average number of nearest neighbour molecules was constant in this concentration range. The mass distribution of adsorbed ferritin c(r) had a fractal dimension D = 1.8 at a bulk concentration of 10 g/l and a surface concentration corresponding to theta = 0.45 +/- 0.05. The pair correlation function g(r) showed decreasing probability of finding nearest neighbour molecules over long distances as in percolating clusters. The results indicate that ferritin adsorbs strongly to the surface at low surface concentrations and weakly at high surface concentrations. The stability of ferritin adsorption was correlated to the average number of nearest neighbour molecules, indicating a possibility that desorption is a critical supramolecular phenomenon.     

Discontinuous formation and desorption of clusters during particles adsorption at surfaces

A theoretical model was derived to describe the discontinuous formation and desorption of clusters during particle adsorption at surfaces. Two steps were investigated: (1) time-dependent adsorption, where we found that the initial slope and the limiting magnitude of an adsorption isotherm depend on the clusters' distribution. A higher magnitude of both the adsorption and desorption rates appear to contract the time scale and hence increase the initial slope. Decreasing the geometrical parameter, q, which represents the shape of an adsorbed cluster, enhances the growth of large clusters on the surface. (2) A concentration dependence model shows that the number of adsorbed molecules increases with increases in the value of n (nucleation capacity). Furthermore, higher rates of adsorption provide steeper initial slopes (higher affinity of, molecules to surface). Decreasing q from 2 to 1, i.e. from a circular to a linear cluster formation, slightly decreases the magnitude of the isotherms.     

Measuring surface dynamics of biomolecules by total internal reflection fluorescence with photobleaching recovery or correlation spectroscopy.

The theoretical basis of a new technique for measuring equilibrium adsorption/desorption kinetics and surface diffusion of fluorescent-labeled solute molecules at solid surfaces has been developed. The technique combines total internal reflection fluorescence (TIR) with either fluorescence photobleaching recovery (FPR) or fluorescence correlation spectroscopy (FCS). A laser beam totally internally reflects at a solid/liquid interface; the shallow evanescent field in the liquid excites the fluorescence of surface adsorbed molecules. In TIR/FPR, adsorbed molecules are bleaching by a flash of the focused laser beam; subsequent fluorescence recovery is monitored as bleached molecules exchange with unbleached ones from the solution or surrounding nonilluminated regions of the surface. In TIR/FCS, spontaneous fluorescence fluctuations due to individual molecules entering and leaving a well-defined portion of the evanescent field are autocorrelated. Under appropriate experimental conditions, the rate constants and surface diffusion coefficient can be readily obtained from the TIR/FPR and TIR/FCS curves. In general, the shape of the theoretical TIR/FPR and TIR/FCS curves depends in a complex manner upon the bulk and surface diffusion coefficients, the size of the iluminated or observed region, and the adsorption/desorption/kinetic rate constants. The theory can be applied both to specific binding between immobilized receptors and soluble ligands, and to nonspecific adsorption processes. A discussion of experimental considerations and the application of this technique to the adsorption of serum proteins on quartz may be found in the accompanying paper (Burghardt and Axelrod. 1981. Biophys. J. 33:455).     

Computer simulation of surface-induced aggregation of ferritin.

Models are presented describing the transient mass-transport limited adsorption and cluster growth of ferritin at a solid surface. Computer simulations are carried out on a hexagonal lattice using a computer model that can be characterized as a two-dimensional stochastic cellular automaton allowing different rules regarding association, lateral interaction and dissociation to be incorporated in the model. The fractal dimensions of individual clusters were extracted from simulated aggregates and for similar rules found to be consistent with literature values on reversible diffusion-limited aggregation in two dimensions. The distribution of clusters versus free surface were shown to be affected by neighbor-dependent association probability. Low fractal dimension clusters were generated by a combination of strong lateral cohesion and neighbor-dependent dissociation to the bulk. By comparing computer simulated aggregation to experimental electron micrographs of adsorbed ferritin layers it is suggested that neighbor-dependent association, neighbor-dependent dissociation and lateral interactions are important factors in the complex dynamics of adsorbed protein layers.     

PM-IRRAS investigation of the interaction of serum albumin and fibrinogen with a biomedical-grade stainless steel 316LVM surface

Polarization modulation infrared reflection absorption spectroscopy (PM-IRRAS) was applied to investigate the interaction of bovine serum albumin (BSA) and fibrinogen with a biomedical-grade 316LVM stainless steel surface, in terms of the adsorption thermodynamics and adsorption-induced secondary structure changes of the proteins. Highly negative apparent Gibbs energy of adsorption values revealed a spontaneous adsorption of both proteins onto the surface, accompanied by significant changes in their secondary structure. It was determined that, at saturated surface coverages, lateral interactions between the adsorbed BSA molecules induced rather extensive secondary structure changes. Fibrinogen's two coiled coils appeared to undergo negligible secondary structure changes upon adsorption of the protein, while large structural rearrangements of the protein's globular domains occurred upon adsorption. The secondary structure of adsorbed fibrinogen was not influenced by lateral interactions between the adsorbed fibrinogen molecules. PM-IRRAS was deemed to be viable for investigating protein adsorption and for obtaining information on adsorption-induced changes in their secondary structures.     

Induction of changes in the secondary structure of globular proteins by a hydrophobic surface

Circular dichroism, ellipsometry and radiolabeling techniques were employed to study the induction of changes in the secondary structure of BSA, myoglobin and cytochrome C by a hydrophobic surface. The results showed that adsorbed protein molecules lose their ordered native structure in the initial stage of adsorption and the structure appears to be a random or disordered conformation. Protein molecules adsorbed in later stages adopt a more ordered secondary structure ( helix and structure). The changes of secondary structure of globular proteins induced by a hydrophobic surface can be explained by the steric interaction between adsorbed proteins as well as by hydrophobic interactions during the adsorption process. In addition, there is obviously an intermediate stage in which the protein molecules are mainly in the structure, indicating that for certain proteins, the structure may be a more stable secondary structure than helix on the hydrophobic surface. Correspondence to: S.-F. Sui     

Adsorption of thermomonospora fusca E(5) cellulase on silanized silica

The adsorption kinetics and dodeceyltrimethylammonium-bromide-mediated elution of Thermomonospora fusca E(5) cellulase were recorded in situ, at hydrophobic, silanized silica. Experiments were performed at different solution concentrations, ranging from 0.001 to 0.70 mg/mL. Plateau values of adsorbed mass generally increased with increasing solution concentration, with the adsorbed layer being only partially eluted by buffer. Treatment with surfactant removed more of the adsorbed enzyme in each case, with the remaining adsorbed mass varying little among experiments. Adsorption of E(5) into this nonremovable state was suggested to occur early in the adsorption process and continue until some critical surface concentration was reached. Beyond this critical value of adsorbed mass, adsorption progressed with the protein adopting more loosely bound states. Adsorption kinetic data were interpreted with reference to an adsorption mechanism allowing for irreversible adsorption into two dissimilar states. These states were distinguished by differences in occupied interfacial area, and binding strength, presumably a result of differences in structure. Comparison of the data to the kinetic model based on this mechanism showed that the fraction of adsorbed molecules present in the more tightly bound state decreased as adsorption occurred from solutions of increasing concentration. However, the absolute values of more tightly bound molecules were less dependent on adsorption conditions.     

Formation of metal nanoclusters on specific surface sites of protein molecules

During vacuum condensation of metals on frozen proteins, nanoclusters are preferentially formed at specific surface sites (decoration). Understanding the nature of metal/protein interaction is of interest for structure analysis and is also important in the fields of biocompatibility and sensor development. Studies on the interaction between metal and distinct areas on the protein which enhance or impede the probability for cluster formation require information on the structural details of the protein's surface underlying the metal clusters. On three enzyme complexes, lumazine synthase from Bacillus subtilis, proteasome from Thermoplasma acidophilum and GTP cyclohydrolase I from Escherichia coli, the decoration sites as determined by electron microscopy (EM) were correlated with their atomic surface structures as obtained by X-ray crystallography. In all three cases, decoration of the same protein results in different cluster distributions for gold and silver. Gold decorates surface areas consisting of polar but uncharged residues and with rough relief whereas silver clusters are preferentially formed on top of protein pores outlined by charged and hydrophilic residues and filled with frozen buffer under the experimental conditions. A common quality of both metals is that they strictly avoid condensation on hydrophobic sites lacking polar and charged residues. The results open ways to analyse the binding mechanism of nanoclusters to small specific sites on the surface of hydrated biomacromolecules by non-microscopic, physical-chemical methods. Understanding the mechanism may lead to advanced decoration techniques resulting in fewer background clusters. This would improve the analysis of single molecules with regard to their symmetries and their orientation in the adsorbed state and in precrystalline assemblies as well as facilitate the detection of point defects in crystals caused by misorientation or by impurities.     

Potentiostatic deposition of DNA for scanning probe microscopy.

We describe a procedure for reversible adsorption of DNA onto a gold electrode maintained under potential control. The adsorbate can be imaged by scanning probe microscopy in situ. Quantitative control of a molecular adsorbate for microscopy is now possible. We found a potential window (between 0 and 180 mV versus a silver wire quasi reference) over which a gold (111) surface under phosphate buffer is positively charged, but is not covered with a dense adsorbate. When DNA is present in these conditions, molecules adsorb onto the electrode and remain stable under repeated scanning with a scanning tunneling microscope (STM). They become removed when the surface is brought to a negative charge. When operated at tunnel currents below approximately 0.4 nA, the STM yields a resolution of approximately 1 nm, which is better than can be obtained with atomic force microscopy (AFM) at present. We illustrate this procedure by imaging a series of DNA molecules made by ligating a 21 base-pair oligonucleotide. We observed the expected series of fragment lengths but small fragments are adsorbed preferentially.     

Effects of ionic substances on the adsorption of egg white proteins to a stainless steel surface

The surface fouling of food processing equipment by proteins was studied by investigating the adsorption of egg white proteins to the surface of stainless steel (SS) at pH 7.4 and 30 °C, and particularly the effects of different types of ionic substances. Ovalbumin and ovomucoid, acidic egg white proteins, were less adsorbed in the presence of phosphate (P(i)), a multivalent anion, than in the presence of HEPES, an amphoteric ion. On the other hand, lysozyme, a basic egg white protein, was more adsorbed in the presence of P(i) than in the presence of HEPES. Citrate as another multivalent anion and taurine as another amphoteric ion affected the respective adsorption of those egg white proteins similarly to P(i) and HEPES. The adsorption of an egg white protein to an SS surface therefore depended on the combination of the type of protein and the effective charge of the coexisting ionic substance. This behaviour can be well explained by assuming that a small ionic substance precedes a protein in attaching to an SS surface, resulting in an alteration to the effective surface charge. Pretreating SS with a P(i) buffer lowered the amount of ovalbumin adsorbed with the HEPES buffer, demonstrating that P(i) can attach to and remain on the SS surface to affect the subsequent protein adsorption.     

Reaction rate enhancement by surface diffusion of adsorbates.

Ligands can be captured by a surface target through either direct bulk diffusion or surface diffusion following reversible adsorption to the surface. We have solved a steady state boundary value problem for a perfect sink disk target in the surface, taking into account bulk and surface diffusion coefficients D and Ds and adsorption/desorption kinetic rate constants ka and kd at non-target regions. Solutions have been successfully found by numerical computation. The results show that the rate of capture from the surface depends non-linearly on Ds, D, ka, kd and geometrical dimensions. In particular, we demonstrate that not only is the non-target region equilibrium constant Keq (= ka/kd) important in determining the rate of capture from the surface, but so are the kinetic rate constants ka and kd separately. In all cases, the surface adsorption/diffusion combination enhances the total rate of capture. The results should be useful for predicting reaction rates of biological membrane bound receptor clusters and substrate-immobilized enzymes.     

Total internal reflection/fluorescence photobleaching recovery study of serum albumin adsorption dynamics.

The total internal reflection/fluorescence photobleaching recovery (TIR/FPR) technique (Thompson et al. 1981. Biophys. J. 33:435) is used to study adsorbed bovine serum albumin dynamics at a quartz glass/aqueous buffer interface. Adsorbed fluorescent labeled protein is bleached by a brief flash of the evanescent wave of a focused totally internally reflected laser beam. The rates of adsorption/desorption and surface diffusion determine the subsequent fluorescence recovery. The protein surface concentration is low enough to be proportional to the observed fluorescence and high enough to insure that the observed recovery rates arise mainly from adsorbed rather than bulk protein dynamics. The photobleaching recovery curves for rhodamine-labeled bovine serum albumin reveal both an irreversibly bound state and a multiplicity of reversibly bound states. The relative amount of reversible to irreversible adsorption increases with increasing bulk protein concentration. Since the adsorbed protein concentration appears to be too high to pack into a homogeneous surface monolayer, the wide range of desorption rates possibly results from multiple layers of protein on the surface. Comparison of the fluorescence recovery curves obtained with various focused laser beam widths suggests that some of the reversibly bound bovine serum albumin molecules can surface diffuse. Aside from their relevance to the surface chemistry of blood, these results demonstrate the feasibility of the TIR/FPR technique for measuring molecular dynamics on solid surfaces.     

Adsorption and spin state properties of Cr,Ni, Mo,and Pt deposited on Li+ and Na+ monovalent cation impurities of MgO (001) surface: DFT calculations

We have analyzed, by means of density functional theory calculations and the embedded cluster model, the adsorption and spin-state properties of Cr, Ni, Mo, and Pt deposited on a MgO crystal. We considered deposition at the Mg²⁺ site of a defect-free surface and at Li⁺ and Na⁺ sites of impurity-containing surfaces. To avoid artificial polarization effects, clusters of moderate sizes with no border anions were embedded in simulated Coulomb fields that closely approximate the Madelung fields of the host surfaces. The interaction between a transition metal atom and a surface results from a competition between Hund's rule for the adsorbed atom and the formation of a chemical bond at the interface. We found that the adsorption energies of the metal atoms are significantly enhanced by the cation impurities, and the adsorption energies of the low-spin states of spin-quenched complexes are always more favorable than those of the high-spin states. Spin polarization effects tend to preserve the spin states of the adsorbed atoms relative to those of the isolated atoms. The metal–support interactions stabilize the low-spin states of the adsorbed metals with respect to the isolated metals, but the effect is not always enough to quench the spin. Spin quenching occurs for Cr and Mo complexes at the Mg²⁺ site of the pure surface and at Li⁺ and Na⁺ sites of the impurity-containing surfaces. Variations of the spin-state properties of free metals and of the adsorption and spin-state properties of metal complexes are correlated with the energies of the frontier orbitals. The electrostatic potential energy curves provide further understanding of the nature of the examined properties.     

Labelling of colloidal gold with protein

Summary Markers prepared by labelling colloidal gold with macromolecules such as lectins, antibodies and protein A are gaining wise acceptance both in transmission and scanning electron microscopy. However detailed information on the process and extent of adsorption of macromolecules onto gold particles are still lacking. The adsorption isotherm of protein onto gold particles was studied quantitatively using goat -lactoglobulin (L) tritiated in vivo. When this protein was modified chemically by iodination with ¹²⁵I, the adsorption isotherm was not significantly different (Langmuir type for monolayer). In the presence of saturating amount of L, a maximum of 13–14 molecules was adsorbed per particle of 12 nm in diameter for a theoretical maximum of 20 (compact monolayer). Ellipsometric measurements on nickel-coated slides indicated that L was adsorbed onto metallic surfaces as a compact monolayer. The molecules were irreversibly adsorbed on gold particles, kept to a large extent their capacity to bind anti-L antibodies and could not be displaced by polyethylene glycol, a stabilizer commonly used in the preparation of gold markers. Only markers labelled with more than 5 L molecules per particle could be completely bound by immobilized anti-L antibodies. Preliminary data indicated that the energetics of adsorption of L onto colloidal gold was in agreement with that expected from the mutual interaction of surface and adsorbate.     

Influence of surface and protein modification on immunoglobulin G adsorption observed by scanning force microscopy.

Scanning force microscopy has been used successfully to produce images of individual protein molecules. However, one of the problems with this approach has been the high mobility of the proteins caused by the interaction between the sample and the scanning tip. To stabilize the proteins we have modified the adsorption properties of immunoglobulin G on graphite and mica surfaces. We have used two approaches: first, we applied glow discharge treatment to the surface to increase the hydrophilicity, favoring adhesion of hydrophilic protein molecules; second, we used the arginine modifying reagent phenylglyoxal to increase the protein hydrophobicity and thus enhance its adherence to hydrophobic surfaces. We used scanning force microscopy to show that the glow discharge treatment favors a more homogeneous distribution and stronger adherence of the protein molecules to the graphite surface. Chemical modification of the immunoglobulin caused increased aggregation of the proteins on the surface but did not improve the adherence to graphite. On mica, clusters of modified immunoglobulins were also observed and their adsorption was reduced. These results underline the importance of the surface hydrophobicity and charge in controlling the distribution of proteins on the surface.