Mina Hong1, K Trent Moreland2, Jiajun Chen3, Henry H Teng4, Ruediger Thalmann2, James J De Yoreo5. 1. Physical Sciences Division, Pacific Northwest National Laboratory , Richland, Washington 99352, United States ; Department of Chemistry, The George Washington University , Washington, D.C. 20052, United States ; The Molecular Foundry, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States. 2. Department of Otolaryngology-Head and Neck Surgery, Washington University in St. Louis , St. Louis, Missouri 63110, United States. 3. The Molecular Foundry, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States. 4. Department of Chemistry, The George Washington University , Washington, D.C. 20052, United States. 5. Physical Sciences Division, Pacific Northwest National Laboratory , Richland, Washington 99352, United States.
Abstract
We investigated the roles of three proteins associated with the formation of otoconia including fetuin A, osteopontin (OPN), and otoconin 90 (OC90). In situ atomic force microscopy (AFM) studies of the effects of these proteins on the growth of atomic steps on calcite surfaces were performed to obtain insight into their effects on the growth kinetics. We also used scanning electron microscopy to examine the effects of these proteins on crystal morphology. All three proteins were found to be potent inhibitors of calcite growth, although fetuin A promoted growth at concentrations below about 40 nM and only became an inhibitor at higher concentrations. We then used in situ optical microscopy to observe calcite nucleation on films of these proteins adsorbed onto mica surfaces. By measuring the calcite nucleation rate as a function of supersaturation, the value of the interfacial energy that controls the free energy barrier to heterogeneous nucleation was determined for each protein. OPN and OC90 films led to significantly reduced interfacial energies as compared to the value for homogeneous calcite nucleation in bulk solution. The value for fetuin A was equal to that for bulk solution within experimental error. Zeta potential measurements showed all of the proteins possessed negative surface charge and varied in magnitude according to sequence fetuin A > OC90 > OPN. In addition, the interfacial energies exhibited an inverse scaling with the zeta potential. In analogy to previous measurements on polysaccharide films, this scaling indicates the differences between the proteins arise from the effect of protein surface charge on the solution-substrate interfacial energy.
We investigated the roles of three proteins associated with the formation of otoconia including fetuin A, osteopontin (OPN), and otoconin 90 (OC90). In situ atomic force microscopy (AFM) studies of the effects of these proteins on the growth of atomic steps on calcite surfaces were performed to obtain insight into their effects on the growth kinetics. We also used scanning electron microscopy to examine the effects of these proteins on crystal morphology. All three proteins were found to be potent inhibitors of calcite growth, although fetuin A promoted growth at concentrations below about 40 nM and only became an inhibitor at higher concentrations. We then used in situ optical microscopy to observe calcite nucleation on films of these proteins adsorbed onto mica surfaces. By measuring the calcite nucleation rate as a function of supersaturation, the value of the interfacial energy that controls the free energy barrier to heterogeneous nucleation was determined for each protein. OPN and OC90 films led to significantly reduced interfacial energies as compared to the value for homogeneous calcite nucleation in bulk solution. The value for fetuin A was equal to that for bulk solution within experimental error. Zeta potential measurements showed all of the proteins possessed negative surface charge and varied in magnitude according to sequence fetuin A > OC90 > OPN. In addition, the interfacial energies exhibited an inverse scaling with the zeta potential. In analogy to previous measurements on polysaccharide films, this scaling indicates the differences between the proteins arise from the effect of protein surface charge on the solution-substrate interfacial energy.
The process of biomineralization
has been widely studied for many
crystal systems. It is of great importance in both production of hard
tissues and in mediating the interaction of biota with various terrestrial,
aquatic, and marine environments. Moreover, biomineralization offers
potential approaches to the formation of complex synthetic materials.
Otoconia are small biominerals found in the saccule and utricle of
the ear. As integral components of sense organs of linear acceleration
and gravity, otoconia play an important role in maintaining spatial
orientation and equilibrium.[1] Otoconia
consist of an organic matrix, surrounded by a mineral shell composed
of crystalline calcium carbonate.[2] The
crystalline phase is one of three polymorphs: calcite (mammals and
birds), aragonite (amphibians and fish), and vaterite (primitive jawfish).[3] It has been suggested by Pote and Ross that the
selection of polymorphs is directed by specific major matrix proteins
“unique to that polymorph”,[4] though proof of that hypothesis is currently lacking. Otoconia in
mammals are unique in that they are the only functional mammalian
biomineral that consists of calcite instead of hydroxyapatite (calcium
phosphate), which is the mineral phase of bone and teeth. In humans,
calcitic otoconia are about 5–10 μm in length and exhibit
triplanar (104) end facets. The otoconia are formed during embryogenesis
with maturation occurring during a brief perinatal period after which
they are believed to be static until demineralization begins with
aging.[5] Decalcification occurs with increasing
age and degrades the mineral resulting in loss of balance. Benign
positional vertigo (BPV) often takes place as a result of displacement
of otoconia into the semicircular canal due to head trauma or age-related
otoconial fragmentation. In spite of the important role otoconia play
in human balance and movement, little is known about their development,
maintenance, and pathological processes at a molecular level.[6]Previous studies suggest that the organic
matrix of otoconia serves
as a framework on which the calcite crystals deposit and grow.[7] In mammals and birds, the insoluble scaffold
protein otolin-1 was identified to be the core protein of the matrix.
Otolin-1, belonging to the C1q/TNF[8] and
collagen superfamilies, is similar to the network forming type X collagen.[9] On the basis of the established role that collagens
play in biomineralization and the recent demonstration that otolin-1
forms self-assembled networks in vitro,[7b] otolin-1 is expected to self-assemble in vivo into an extracellular
scaffold structure essential for the directed nucleation and growth
of the calcite crystal.[4,10] Otolin-1 appears to be recruited
into the otoconial matrix by otoconin 90 (OC90),[11] which is the principal otoconial protein and accounts for
more than 90% of the soluble phase.[12] OC90
is essential for the formation of this matrix and the deposition of
otolin-1.[11] Otolin-1 has been reported
to interact with OC90 when they are coexpressed.[10a] In the absence of OC90, the organic matrix was reported
to be nearly absent, and the efficiency of crystal formation was reduced
by 50%.[11a] In addition, OC90 was found
to facilitate nucleation and control crystal size and morphology.[1,7b] In vitro coadministration of OC90 with otolin-1 to crystal growth
solution produced synergistic effects on crystal morphology that resulted
in calcite crystals resembling otoconia.[7b]Many other proteins in the otoconia matrix have also been
identified,
including fetuin A, osteopontin (OPN), laminin alpha 3, Sparc-like
protein 1, and myosin regulatory light polypeptide 9, all of which
are calcium-binding proteins.[4,13] Fetuin A is abundant
in serum[14] and was first identified in
1944 as a major protein component of bovine fetal serum.[15] It is a known inhibitor in the formation of
calcium compounds, such as hydroxyapatite,[6] due to its strong Ca-binding property and accounts for about 50%
of the capacity of serum to inhibit precipitation of Ca-salts, like
calcium phosphate.[13] OPN also serves as
an inhibitor of other Ca minerals including calcium oxalate,[16] calcite,[17] and hydroxyapatite.[18] Rounded and poorly formed facets of both the
(010) and (101) faces of calcium oxalate and (104) faces of calcite
indicate that OPN interacts with steps on the crystal faces.[16a,17] Phosphorylation of OPN was determined to be an important factor
in the inhibitory effects.[16b,18] However, Zhao et al.[19] argued that OPN was not required for otoconia
formation since no change of calcium concentration was observed in
the ultrastructure in the absence of OPN.We report results
from atomic force microscopy (AFM), scanning
electronic microscopy (SEM), optical microscopy, and electrophoretic
light scattering (ELS) investigations into the role of three key otoconial
proteins—fetuin A, OPN, and OC90—in the formation of
calcite. In situ AFM studies of the effects of these proteins on the
growth of atomic steps on calcite surfaces revealed interactions with
the steps and the resulting control on growth kinetics and morphology.
SEM images illustrated the relationship of changes in step kinetics
to alterations in growth morphology. Optical microscopy enabled quantification
of the kinetics of calcite nucleation on films of these proteins formed
through deposition on mica surfaces. Interfacial energies controlling
the thermodynamic barriers to nucleation were determined from measurements
of calcite nucleation rate as a function of supersaturation. These
interfacial energies were correlated with the charge density of the
individual proteins as determined by zeta potential measurements obtained
from ELS analysis.
Experimental Methodology
Protein
Sources
Commercial sources were used for fetuin
A (Alpha 2 HS-Glycoprotein from American Research Product, Inc.) and
OPN (Recombinant MouseOsteopontin from R&D Systems, Inc.). The
fetuin A was purified from human plasma, glycosylated and phosphorylated.
The recombinant OPN was also phosphorylated, but details about the
extent of phosphorylation were not available. Recombinant histidine
tagged mouseOC90 protein was produced utilizing the Freestyle Max
293 expression system (Invitrogen) to transfect nonadherent humanembryonic kidney (HEK293-F) cells with the expression plasmid pcDNA3.1-OC90-His
per the manufacturer’s directions. The transfected cells were
incubated at 37 °C and 8% CO2 for 7 days in Freestyle
293 Medium (Invitrogen). The medium containing the secreted protein
was extracted from the cell culture, and the protein was purified
chromatographically by affinity on an AKTA Purifier with a 1 mL HisTrap
column (GE Healthcare). Total protein concentration was determined
by the Bradford assay (BioRad). Purity and identity of the proteins
were determined by Coomassie staining and Western blot using a 1:1000
dilution of polyclonal mouse anti-His C-terminal antibody (Abcam)
following SDS-polyacrylamide gel electrophoresis on an AnyKD (BioRad)
gel.
Growth Experiments
In situ measurements of the effects
of all proteins on calcite monolayer step growth were carried out
by AFM (Digital Instruments J scanner, Nanoscope IIIa and V controllers,
Bruker Corporation, Billerica, MA). All measurements took place at
1 atm and room temperature (25 °C). Freshly cleaved calcite chips
of optical-quality Iceland spar (Ward’s Scientific, Chihuahua,
Mexico) of approximately 2 mm × 2 mm × 1 mm in dimension
were mounted in the fluid cell. Supersaturated calcite solutions were
made by dissolving reagent sodium bicarbonate (NaHCO3,
Aldrich) and dehydrate calcium chloride (CaCl2, Aldrich)
into deionized water (18.2 mΩ). The supersaturation σ
was defined asand calculated by the commercial
software
PHREEQC to be 0.9 and 2.3.[20] pH was adjusted
by adding HCl to the solutions to maintain it at ∼7.44, which
is close to the human physiological value. The ionic strength of all
solutions was fixed at 0.2 M. Reactant solutions were continuously
pumped through the fluid cell by a syringe pump at a flow rate of
60 mL/h, and all images were collected with silicon tips on silicon
nitride cantilevers (AppNano Inc.). The crystal surfaces were allowed
to grow for an hour before taking images to ensure quality and stability.
Step velocities were calculated by measuring the change in apparent
step orientations between continuous upward and downward AFM images
collected in contact mode.[21] For each solution
composition, the growth experiments were repeated at least three times,
and step speed data were typically collected on two to three growth
spirals in each experiment. The data points presented here represent
an average of the measured values for each growth spiral. In addition,
calcite crystals were grown by the carbonate diffusion method through
the slow evaporation method of NH4HCO3 into
a CaCl2 solution as reported.[22] Briefly, they were grown on clean 12 mm glass coverslips, placed
into wells of a cell culture dish containing 7.5 mM CaCl2 solutions to which aliquots of the proteins had been added. The
culture dish was covered with aluminum foil containing a few pinholes
and placed into a sealed glass chamber containing NH4HCO3. Crystals were grown for 48 h and then examined with a JEOL
JSM 6320F field emission scanning electron microscope at 5 kV after
sputter coating with gold and palladium to increase the conductivity.
Protein Adsorption
50 nM of each protein was dissolved
in a 100 mM CaCl2 solution. Freshly cleaved mica surfaces
were incubated in solution for 8 h. After incubation, they were removed
from solution, rinsed, and dried with compressed air. AFM tapping
mode was used to examine the morphology of proteins adsorbed on the
mica surfaces.
Calcite Nucleation
Nucleation of
calcite on all three
proteins films prepared as described above were investigated in situ
using an inverted optical microscopy.[23] CaCl2 and NaHCO3 solutions at equal concentrations
from 20 mM to 45 mM were mixed and pumped through the reaction cell
at a flow rate of 120 mL/h. The location of nucleation events was
recorded as the number density of nuclei vs time. This was repeated
at multiple supersaturations ranging from 4.42 to 6.15.
Protein Zeta
Potential Measurement
50 nM of each protein
was dissolved in a 1 mM CaCl2 solution at pH 6.8. Zeta
potential measurements of each protein were done by sz-100 nanoparticle
analyzer (Horiba, Japan) at 1 atm and room temperature (25 °C).
Results
Calcite Growth
Growth hillocks on calcite (104) faces
exhibit two crystallographically distinct types of steps, commonly
referred to as “obtuse” and “acute”. The
difference in the kinetics of growth for the two types of steps is
evident from the difference in the interstep spacing, which is a direct
measure of the relative step speeds.[21a] Previous work at approximately pH 8.4[21a,24] showed that calcite growth hillocks consisted of straight steps
with sharp corners, as seen in Figure 1a. The
results presented here (Figure 1a,b) demonstrate
that both types of steps become rounded when pH is decreased from
8.4 to 7.4, independent of the addition of proteins. Figure 1c–e showed the addition of protein at sufficiently
high concentration can lead to further rounding, step pinning, or
obscuring of the steps, presumably due to coverage of the surface
by a protein film.
Figure 1
AFM images of calcite growth spirals in (a, b) protein-free
solutions
at σ = 2.3 for (a) pH = 8.4 and (b) pH = 7.4; (c) 50 nM fetuin
at pH = 7.4, (d) 80 nM OPN at pH = 7.4 and (e) 40 nM OC90 at pH =
7.4. All images were captured with obtuse steps up and acute sites
at the bottom, as marked in (a). Panels (a) and (b) demonstrate the
effect of pH on hillock morphology. Steps are partially covered or
pinned by fetuin A, OPN, or OC90 in panels (c–e) respectively
and the step velocity drops to about 50% of the original value. Image
sizes are (a) and (b) 3 × 3 μm; (c) to (e) 4 × 4 μm.
(Note that the differences in step spacing seen in (c–e) reflect
the differences in step speed obtained with each protein.)
AFM images of calcite growth spirals in (a, b) protein-free
solutions
at σ = 2.3 for (a) pH = 8.4 and (b) pH = 7.4; (c) 50 nM fetuin
at pH = 7.4, (d) 80 nM OPN at pH = 7.4 and (e) 40 nM OC90 at pH =
7.4. All images were captured with obtuse steps up and acute sites
at the bottom, as marked in (a). Panels (a) and (b) demonstrate the
effect of pH on hillock morphology. Steps are partially covered or
pinned by fetuin A, OPN, or OC90 in panels (c–e) respectively
and the step velocity drops to about 50% of the original value. Image
sizes are (a) and (b) 3 × 3 μm; (c) to (e) 4 × 4 μm.
(Note that the differences in step spacing seen in (c–e) reflect
the differences in step speed obtained with each protein.)From sequences of images like those in Figure 1, we measured the dependence of step speed on protein
concentration
over the range required to see significant inhibition for all of the
proteins (Figure 2). At the lowest protein
concentrations used here, steps could be easily resolved and their
speeds measured. As the protein concentration increased and steps
became difficult to resolve (Figure 1c–e),
step speeds could no longer be measured.
Figure 2
AFM measurements of step
propagation rate vs concentration along
both obtuse and acute directions for solutions containing (a) fetuin,
(b) OPN, and (c) OC90. Normalized step speeds are given to emphasize
the relative enhancement and/or inhibition and minimize the effects
of inherent run-to-run variations in the step speed values. Lines
are guides to the eye. Solid lines: σ = 0.9; dashed lines in
(a): σ = 2.3. Error bars represent 10% of the measured value
and are based upon error analyses in our previous investigations.[26a,34]
AFM measurements of step
propagation rate vs concentration along
both obtuse and acute directions for solutions containing (a) fetuin,
(b) OPN, and (c) OC90. Normalized step speeds are given to emphasize
the relative enhancement and/or inhibition and minimize the effects
of inherent run-to-run variations in the step speed values. Lines
are guides to the eye. Solid lines: σ = 0.9; dashed lines in
(a): σ = 2.3. Error bars represent 10% of the measured value
and are based upon error analyses in our previous investigations.[26a,34]Decreases in the step speed were
seen for both step-types as OC90
and OPN concentrations were increased. At an OC90 concentration of
only 40 nM, step speeds dropped to <50% of the values in protein-free
solution (Figure 2c), showing that OC90 is
a potent inhibitor of calcite growth. The slightly stronger inhibition
of the acute step over that of the obtuse steps is consistent with
the change in crystal morphology seen in SEM images of crystals grown
in the presence of the protein (Figure 3a,b)
and is also consistent with the results of Lu et al.[1] and Moreland et al.[7b]
Figure 3
SEM images
of calcite crystals modified by different proteins.
(a) 0.5 μM OC90; (b) 1 μM OC90; (c) 1.59 μM recombinant
mouse OPN; (d) 3.82 μM recombinant mouse OPN; (e) 1.02 μM
human fetuin A; (f) 2.04 μM human fetuin A. Scale bar: a–c
20 μm; d–f 10 μm.
SEM images
of calcite crystals modified by different proteins.
(a) 0.5 μM OC90; (b) 1 μM OC90; (c) 1.59 μM recombinant
mouseOPN; (d) 3.82 μM recombinant mouseOPN; (e) 1.02 μM
humanfetuin A; (f) 2.04 μM humanfetuin A. Scale bar: a–c
20 μm; d–f 10 μm.OPN had less impact on step speeds (Figure 2b) and crystal morphology (Figure 3c,d) than
OC90 but still acted as an inhibitor of growth. OPN in concentrations
from 1.59 to 3.82 μM caused a marked modification of crystal
shape with increasing concentration (Figure 3c,d). Modification became evident at 1.59 μM with the (104)
face becoming rounded and exhibiting a narrow ring-like band along
the c axis (Figure 3c). These
modifications significantly increased at 3.82 μM with strong
rounding of the (104) faces becoming apparent.In contrast to
OC90 and OPN, fetuin A exhibited either enhancement
or inhibition depending on protein concentration and solution supersaturation.
At sufficiently high supersaturations (2.3) and low fetuin A concentration
(<40 nM), an obvious increase in step speed was observed, while
the protein exerted an inhibitory effect at concentrations greater
than 40 nM (Figure 2a). As the protein concentration
was further increased, fetuin A became an increasingly potent inhibitor.
As shown in Figure 3d,e, the modification of
crystal shape seen with increasing fetuin A concentration was similar
to that observed with the other two proteins. At a concentration of
1.02 μM, a series of rounded macrosteps (Figure 3e) were observed on one side of the crystal while at concentrations
of 2.04 μM (Figure 3f), significant rounding
of acute steps and a broad ring-like band comprised of the (hk0) faces
(i.e., parallel to the c-axis) were obtained, though
the effects on morphology were less pronounced than with either OPN
or OC90.Figure 4 shows
the morphology of adsorbed fetuin, OPN, and OC90 on mica. After the
same incubation time in the same electrolyte solution, all three formed
isolated irregular islands on the mica surface. In addition, comparison
with bare mica (Figure S1, Supporting Information) indicates that the surface was covered with protein, though the
exact thickness is unknown. This is consistent with our expectation
that these are soluble proteins and are not likely to form cross-linked
filaments or three-dimensional networks as we observed previously
for the otoconial protein otolin-1.[7b]
Figure 4
Ex situ
AFM height images (1.0 × 1.0 μm) following absorption
of (a) 50 nM fetuin A (b) 50 nM OPN, and (c) 50 nM OC90 on freshly
cleaved mica. Image sizes are (a) to (c) 1 × 1 μm.
Ex situ
AFM height images (1.0 × 1.0 μm) following absorption
of (a) 50 nM fetuin A (b) 50 nM OPN, and (c) 50 nM OC90 on freshly
cleaved mica. Image sizes are (a) to (c) 1 × 1 μm.
Nucleation
Using
an in situ optical assay described
previously,[23a,25] we measured the rate of calcite
nucleation on adsorbed films of all of the proteins over a range of
supersaturations. Figure 5a shows a typical
dependence of nucleation rate J0 on time t for a given σ (see also Figures
S2 and S3, Supporting Information). Taking the linear portion
of the curve as the quasi-steady state nucleation rate, we derived
the dependence of J0 on supersaturation.
The results are plotted in Figure 5b as ln(J0) vs the inverse supersaturation squared. In
all cases, the rate increases with increasing σ and exhibits
a roughly linear dependence of ln(J0)
on 1/σ 2.
Figure 5
Dependence of nucleation rate on time and supersaturation.
(a)
An example of number of calcite nuclei vs time on a film of OC90 at
σ = 4.90. The slope of the linear portion of the curve for each
supersaturation corresponds to the steady-state nucleation rate, J0. (b) Natural logarithm of the steady-state
nucleation rate vs the inverse of the supersaturation squared exhibiting
the linear relationship predicted by eq 3 for
all substrates. The slope of the line B is proportional
to the substrate-specific free energy barrier. (c) The zeta potential exhibiting
an inverse linear relationship between protein surface charge density
and interfacial energy.
Dependence of nucleation rate on time and supersaturation.
(a)
An example of number of calcite nuclei vs time on a film of OC90 at
σ = 4.90. The slope of the linear portion of the curve for each
supersaturation corresponds to the steady-state nucleation rate, J0. (b) Natural logarithm of the steady-state
nucleation rate vs the inverse of the supersaturation squared exhibiting
the linear relationship predicted by eq 3 for
all substrates. The slope of the line B is proportional
to the substrate-specific free energy barrier. (c) The zeta potential exhibiting
an inverse linear relationship between protein surface charge density
and interfacial energy.
Zeta Potential Measurement
We found that all three
proteins had negative values of surface charge, which in the order
of maximum to minimum were (absolute charge value): fetuin A (−30.1
± 1.8 mV) > OC90 (−17.1 ± 2.1 mV) > OPN (−0.53
± 0.23 mV).
Discussion
Mechanisms of Growth Modification
The propagation of
steps on single crystal surfaces of calcite and other biomineral phases
and the impact of peptides and proteins on that process have been
explored in great detail over the past 15 years.[26] The salient point of those studies with respect to the
current work is that soluble peptides and proteins often produce differential
inhibition of calcite steps due to step-specific binding affinity
that results in shape modification similar to that seen in Figure 3. The acute steps are often more susceptible to
inhibition and induce an elongation of the crystals along the crystallographic
(001) direction with a rounding of the (hk0) faces.
In the case of aspartic acid-rich peptides from abalone nacre protein,
Fu et al. related the effect on the morphology of the calcite atomic
steps to the overall changes in crystal morphology.[26e,27] Given the fact that fetuin A, OPN, and OC90 have strong affinity
to calcium, the results presented here indicate that each protein
adsorbs to calcite steps and blocks calcium or carbonate ions from
attaching to the kink sites.[26h,28] Step speed is thereby
reduced at low protein concentrations, as seen in Figure 2. The morphologies seen in Figure 3 are indicative of rounding of the acute steps, which is usually
associated with preferential binding to those steps. Though preferential
inhibition is not discernible in the speeds of the steps at the much
lower concentrations where the data must be collected, the preferential
rounding is apparent in the hillock morphologies of Figure 1. Observation of overall inhibition and step rounding
provides a rationale for the evolution in crystal shape and may provide
insights to the source of the characteristic shape of otoconia.The growth-enhancing regime observed with fetuin A (Figure 2a) has been reported in a number of protein–mineral
systems[26f,26g,29] and was explained
as a catalytic process in which the activation barrier for solute
addition to the crystal is reduced in the presence of the proteins
at low concentration.[26f] In the growth-inhibiting
regime, the critical concentration of fetuin A required to fully stop
step propagation increases with solution supersaturation. This is
due to the inverse relationship between calcite critical length and
supersaturation, so less protein is needed to pin the edges and stop
the steps at low supersaturation.[26g,28]
Analysis of
Nucleation Rates
Classical nucleation theory
(CNT) quantifies the steady state rate of nucleation J0(m–2 s–1) through[30]where A is a kinetic
prefactor, kB is Boltzmann constant, and T is temperature. ΔG* is the free
energy barrier
to the formation of a critical size nucleus given byHere F is the shape-dependent
factor for crystal nuclei, ω is the molecular volume of the
crystal, which equals 6.13 × 10–29 m3 per molecule for calcite,[31] and α
is the net interfacial energy. Combining eqs 1 and 2 givesin which the slope, B, is
given byThus, for any value of σ, ΔG* can be obtained directly from B throughThe shape factor F depends
on the orientation of the nucleus. However, it does not change significantly
from one to another.[23a] For all protein
films, we observed calcite nucleation with random orientations.Using a shape factor of 17, which is the average for calcite rhombs
nucleating on the (012) and (104) faces, we estimate from the slopes
in Figure 5b that the values of α range
from a low of 77 ± 0.5 mJ/m2 for OPN to a high of
117 ± 1.4 mJ/m2 for fetuin A, with the OC90 film falling
at an intermediate values of 96 ± 1.1 mJ/m2 (Table 1). The values for heterogeneous nucleation on OPN
and OC90 are substantially less than that for homogeneous nucleation
in the bulk solution where α = 109 mJ/m2.[23a,32] This reduction arises from the interaction between the nucleating
crystal and the substrate as well as the interaction between the solution
and substrate.[25,33] For heterogeneous nucleation,
the net interfacial energy is determined by three independent interfacial
energies for the crystal–liquid (αCL), substrate–crystal
(αSC), and liquid–substrate (αLS) interfaces. These are related by the expression:where h is a constant that
depends on nucleus shape (e.g., h = 0.525 for a calcite
rhomb nucleating on the (012) face[23a] and
0.276 for the (104) face). αCL can be treated as
constant in our cases so the differences in interfacial energy are
controlled by the relative values of αSC and αLS.
Table 1
Slopes B and Interfacial Free Energies
α on the Different Protein Substratesa
substrate
B
α (mJ/m2)
none (homogeneous)
109
fetuin
–1456
117 ± 1.4
OPN
–411
77 ± 0.5
OC90
–819
96 ± 1.1
Calculations of α are based
on the assumption of rhombohedral shaped nuclei. All the properties
are protein dependent.
Calculations of α are based
on the assumption of rhombohedral shaped nuclei. All the properties
are protein dependent.The
value of αSC is determined by the strength
of crystal binding to the substrate,[33] while
αLS is largely controlled by surface charge density,
surface hydrophilicity, or hydrophobicity.[25] From eq 6 we infer that (αSC – αLS)fetuin > (αSC – αLS)OC90 > (αSC – αLS)OPN. In the case
of polysaccharides
reported by Giuffre et al.,[25] higher negative
charge density resulted in lower αLS and thus larger
α and higher α nucleation barrier. In contrast, in the
case of organothiol self-assembled monolayers. Hamm et al.[33] found that larger values of the binding energy
between the substrate and the crystal resulted in lower values of
αSC and thus smaller α. The zeta potential
measurements indicate that the proteins exhibit a similar control
to that seen for the polysaccharides. As Figure 5c shows, the zeta potential exhibits an inverse linear relationship
between the surface charge density and the interfacial energy, with
the large negative zeta potential of fetuin A leading to the lowest
value of α and the small zeta potential of OPN giving the largest
value of α. (It is worth noting that analysis of net charge
at pH 7.44 based on sequence alone gives a relative ranking that is
exactly reversed from that determined by zeta potential, showing that
structural factors impact the relative number of charged residues
exposed at the surfaces of the proteins and highlighting the utility
of the zeta potential data.)The magnitude of the changes in
the free energy barrier is even
more significant than the changes in α, because the barrier
contains α3 (eq 1). Moreover,
because the barrier enters into the rate J0 as the argument of an exponential, the increase in nucleation rates
due the observed differences in α can be dramatic. For example,
at a supersaturation equal to 5.37, taking all other terms in eqs 1 and 2 to be equal, a drop
in α from 109 to 77 mJ/m2 would result in an increase
in nucleation rates by a factor of 3.75 × 1011, showing
that OPN and OC90 may serve as potent promoters of nucleation.
Conclusions
The results reported here demonstrate that fetuin A, OPN, and OC90
are inhibitors of calcite growth through step pinning, presumably
due to their high calcium binding affinity. The dependence of nucleation
rate on supersaturation shows that the interfacial free energy of
calcite on fetuin A (117 mJ/m2) is similar to that for
calcite in bulk solution, while OPN and OC90 reduce it to 72.46 and
91.21 mJ/m2, respectively. Zeta potential measurements
reveal that fetuin A carries more negative charge than OC90 and OPN.
Given the previously demonstrated relationship between the surface
charge density and solution–substrate interfacial energy, these
results indicate that the variation in interfacial energy observed
here is due to the differences in protein surface charge density,
which impacts the affinity of the substrates for the aqueous solution
(i.e., the hydrophilicity). The consequence is that while fetuin A
presents a higher free energy barrier to nucleation than the bulk
solution, OPN and OC90 present much lower free energy barriers.
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Authors: Robin T Bigelow; Yevgeniy R Semenov; Eric Anson; Sascha du Lac; Luigi Ferrucci; Yuri Agrawal Journal: J Assoc Res Otolaryngol Date: 2016-07-22
Authors: Dimitra Athanasiadou; Wenge Jiang; Dina Goldbaum; Aroba Saleem; Kaustuv Basu; Michael S Pacella; Corinna F Böhm; Richard R Chromik; Maxwell T Hincke; Alejandro B Rodríguez-Navarro; Hojatollah Vali; Stephan E Wolf; Jeffrey J Gray; Khanh Huy Bui; Marc D McKee Journal: Sci Adv Date: 2018-03-30 Impact factor: 14.136