Product excipients are used to confer a number of desirable properties on the drug substance to maintain or improve stability and facilitate drug delivery. This is especially important for products where the active pharmaceutical ingredient (API) is a recombinant protein. In this study, we aimed to determine if excipients and formulation conditions affect the structure and/or modulate the dynamics of the protein API of filgrastim products. Samples of uniformly labeled 15N-Met-granulocyte-colony stimulating factor (GCSF) were prepared at 100 μM (near formulation concentration) with various concentrations of individual components (polysorbate-20 and -80, sorbitol) and three pH values. Nuclear magnetic resonance (NMR) spectroscopy techniques were applied to measure chemical shift perturbation (CSP) to detect structural changes, and relaxation parameters (T 1, T 2, and heteronuclear Overhauser effect) were measured to probe the effects on protein backbone motions. In parallel, the same solution conditions were subjected to protein thermal unfolding studies monitored by circular dichroism spectropolarimetry (CD). Detergents (polysorbate-20 and 80) do not induce any observable changes on the protein structure and do not modify its dynamics at formulation concentration. Lowering pH to 4.0, a condition known to stabilize the conformation of filgrastim, as well as the addition of sorbitol produced changes of the fast motion dynamics in the nanosecond and picosecond timescale. NMR-derived order parameters, which measure the local conformational entropy of the protein backbone, show that lowering pH leads to a compaction of the four-helix bundle while the addition of sorbitol relaxes helices B and C, thereby reducing the mobility of loop CD. CSPs and measurements of protein dynamics via NMR-derived order parameters provide a description in structural and motional terms at an atomic resolution on how formulation components contribute to the stabilization of filgrastim products.
Product excipients are used to confer a number of desirable properties on the drug substance to maintain or improve stability and facilitate drug delivery. This is especially important for products where the active pharmaceutical ingredient (API) is a recombinant protein. In this study, we aimed to determine if excipients and formulation conditions affect the structure and/or modulate the dynamics of the protein API of filgrastim products. Samples of uniformly labeled 15N-Met-granulocyte-colony stimulating factor (GCSF) were prepared at 100 μM (near formulation concentration) with various concentrations of individual components (polysorbate-20 and -80, sorbitol) and three pH values. Nuclear magnetic resonance (NMR) spectroscopy techniques were applied to measure chemical shift perturbation (CSP) to detect structural changes, and relaxation parameters (T 1, T 2, and heteronuclear Overhauser effect) were measured to probe the effects on protein backbone motions. In parallel, the same solution conditions were subjected to protein thermal unfolding studies monitored by circular dichroism spectropolarimetry (CD). Detergents (polysorbate-20 and 80) do not induce any observable changes on the protein structure and do not modify its dynamics at formulation concentration. Lowering pH to 4.0, a condition known to stabilize the conformation of filgrastim, as well as the addition of sorbitol produced changes of the fast motion dynamics in the nanosecond and picosecond timescale. NMR-derived order parameters, which measure the local conformational entropy of the protein backbone, show that lowering pH leads to a compaction of the four-helix bundle while the addition of sorbitol relaxes helices B and C, thereby reducing the mobility of loop CD. CSPs and measurements of protein dynamics via NMR-derived order parameters provide a description in structural and motional terms at an atomic resolution on how formulation components contribute to the stabilization of filgrastim products.
Therapeutic recombinant
proteins must be formulated with excipients
to stabilize the protein active pharmaceutical ingredient (API) during
manufacture, storage, and delivery of the product to patients. Various
categories of excipients are available to the manufacturer to develop
a formulation appropriate for their product. These include buffering
agents to control pH, amino acids to control pH and other functions,
osmolytes, sugar, and carbohydrates to help stabilize protein during
environmental stress and lyophilization, salts to adjust tonicity,
proteins, polymers, and surfactants as competitive inhibitors of surface
adsorption and denaturation, chelators, antioxidants, and preservatives.
It can be said that excipients have two modes of action: indirect
and direct. An indirect mode acts on the environment of the protein
API and a direct mode acts on the API itself, such as binding or modifying
the hydrogen bonding character (essentially H-bond length). A given
excipient could have both modes of actions. Formulations are developed
and tested using normal and stress conditions to better stabilize
the API under all conditions; it may be subjected to during manufacturing,
storage, transportation, and delivery to patients. Kamerzell and co-workers
have reported a comprehensive review on protein–excipient interactions
and the various biophysical methods used in formulation development.[1] Here, we apply nuclear magnetic resonance (NMR)
spectroscopy to identify and characterize, if present, direct interactions
between the various excipients and the protein API in filgrastim products
under normal conditions of storage and temperature (no stress imparted
to protein API).Filgrastim products, such as the innovator
product Neupogen from
Amgen, are used to treat neutropenia that is characterized by a low
absolute neutrophil count as a result of chemotherapy bone marrow
transplant or other conditions. Filgrastim is a recombinant methionyl
granulocyte-colony stimulating factor (Met-GCSF). The mature humanGCSF protein contains 174 amino acid residues that fold into a four-helix
bundle.[2,3] Part of the loop between helix A and helix
B is folded into a small helix that is positioned perpendicular to
the bundle axis. The primary sequence includes five cysteine residues
where the last four form two disulfide bridges. Filgrastim products
are formulated at pH 4.0 to stabilize cysteine-17 that is partially
solvent-exposed.[4] This low pH is also known
to provide conformational stabilization[5,6] via a proposed
cation−π interaction between histidine-79 and tryptophan-118
and within the triad made by histidine-52, tryptophan-58, and histidine-156.[7] The excipients include sorbitol and polysorbate-80
(PS-80) and -20 (PS-20). Protein–excipient interactions of
sorbitol and PS-80 excipients were investigated by NMR spectroscopy
using chemical shift perturbation studies. No detectable perturbations
were observed at formulation concentration and up to 20 times the
concentration. However, a loss of signal intensity without line broadening
was observed. This suggested that potential protein–excipient
interactions might be too weak to induce detectable changes in the
magnetic environment of backbone amide pairs but could affect protein
dynamics. NMR spectroscopy can measure protein dynamics over a very
wide range of motions, from very fast motions in the pico-nanoseconds
timescale, down to slow motions in the micro-millisecond timescale.[8] In the present study, we aimed to measure NMR
relaxation parameters of backbone amidenitrogen, namely T1, T2, and 1H–15N-heteronuclear nuclear Overhauser effect to probe for the
presence of protein–excipient interactions and shed light on
the cation−π interaction that stabilizes the conformation
at formulation pH. Relaxation parameters were then used to calculate
order parameters for each residue of the polypeptide backbone. These
provide a description of the amplitude of backbone internal motions
that are correlated with the entropy, thereby the free energy of protein
conformation.[9−12] Atomic-level structural information can only be obtained by NMR
spectroscopy under native conditions where protein molecules remain
monodispersed in solution. Upon unfolding, resonance dispersion is
lost leading to severe overlap. However, unfolding is usually associated
with aggregation, which produces tremendous loss of NMR spectral quality
due to signal broadening. Therefore, NMR measurement of binding, structural
perturbations, and nanosecond–picosecond backbone motions were
carried out in the absence of any stress to the protein to probe effects
of excipients in the product vial. In addition, thermal unfolding
studies by circular dichroism spectropolarimetry (CD) were carried
out in parallel to obtain a readout of the overall conformational
stability of the protein under the various solution conditions tested
in the NMR relaxation measurements.
Results and Discussion
Sample
Preparation
A single dose of 500 μL of
Neupogen contains 300 μg of Met-GCSF in 10 mM sodium acetate
buffer at pH 4.0 (30 μM) with the following excipients: 274
mM sorbitol and 0.03 mM polysorbate-80. One biosimilar version of
this product has substituted the detergent with polysorbate-20. To
study interactions between each component and the protein active pharmaceutical
ingredient, CD and NMR measurements were carried out on samples containing 15N-labeled Met-GCSF with only a single component (parameter)
of the formulation (pH variation, concentration of a single excipient
at the formulation pH). Therefore, the strategy chosen for sample
preparation consisted of adding an appropriate amount of a single
excipient from a stock solution to a given concentration of labeled
protein sample to ensure that the desired concentration of detergents
was obtained, and that they were above their respective critical micelle
concentrations (CMCPS-80 = 0.012 mM and CMCPS-20 = 0.06 mM). When possible, analyses were carried
out at formulation concentration of 30 μM of Met-GCSF, but for
sensitivity reasons of the NMR relaxation measurements, a protein
concentration of 100 μM was utilized to obtain adequate signal-to-noise
required to measure peak intensities (60:1) in a reasonable amount
of time (60 h total acquisition time for all three experiments).
CD Spectropolarimetry
Thermal unfolding curves recorded
by CD did not reveal any detectable effect of individual excipients
on the stability of the conformation of the API when compared to the
API in buffer at pH 4.0 (Figure A). These observations were somewhat expected and suggest
that polysorbate and sorbitol are merely providing a stabilizing environment
in situations of stress that can be encountered during all phases
of the product lifecycle. In addition, API–excipient interactions
may be too subtle to affect the melting temperature of the API as
measured by CD. Far-UV CD was used here to monitor the protein secondary
structure and the effects on secondary structure elements induced
by conformational changes. In contrast, pH has a significant effect
on conformational stability, as previously observed.[6,13] Melting temperatures decreased as pH increased. In our hands, these
were 68.2 ± 1.0, 58.9 ± 0.6, and 57.2 ± 0.5 °C,
at pH 4.0, 5.0, and 6.0, respectively. A 10 °C shift at pH 4.0
compared to pH 5.0 (Figure B) is indicative of a dramatic increase in conformational
stability.
Figure 1
Fractional change in ellipticity at 222 nm with temperature for
Filgrastim as monitored by far-UV circular dichroism. Each spectrum
represents the mean of at least three separate experiments for panel
(A) and at least two separate experiments for panel (B). (A) Effects
of excipients: Met-GSCF (red); Met-GCSF + PS80 (black); Met-GCSF +
PS20 (yellow); and Met-GCSF + sorbitol (cyan), all samples at pH 4.
(B) Effects of pH: Met-GSCF-pH 4.0 (red); Met-GSCF-pH 5.0 (green);
and Met-GSCF-pH 6.0 (blue).
Fractional change in ellipticity at 222 nm with temperature for
Filgrastim as monitored by far-UV circular dichroism. Each spectrum
represents the mean of at least three separate experiments for panel
(A) and at least two separate experiments for panel (B). (A) Effects
of excipients: Met-GSCF (red); Met-GCSF + PS80 (black); Met-GCSF +
PS20 (yellow); and Met-GCSF + sorbitol (cyan), all samples at pH 4.
(B) Effects of pH: Met-GSCF-pH 4.0 (red); Met-GSCF-pH 5.0 (green);
and Met-GSCF-pH 6.0 (blue).
Chemical Shift Perturbation
The magnetic environment
surrounding nuclei directly influences their chemical shifts.[8] Factors that influence the electronic density
surrounding a given NMR active nucleus, such as torsion angles, proximity
of electron-rich groups such as neighboring aromatic side chains,
binding of molecules, dielectric strength of the solvent (ionic strength),
pH, temperature, to name only these, will induce changes in the chemical
shift of that nucleus. Any changes in one or several of these factors
will produce chemical shift perturbations (CSP), making them potentially
good probes of API–excipient interactions and conformational
perturbations. It is important to stress here that the observation
of a CSP does not automatically mean that the conformation has changed
since some of the above factors, such as ionic strength and pH, do
influence electronic density. Finally, CSPs can be very useful probes
to investigate, for example, weak binding interactions (Kd values in the high millimolar range) by simply shifting
the equilibrium to the bound state with an excess of the ligand and
measuring CSPs that are indicative of the interaction. If the assignment
of the resonances of the protein is known, the binding site on the
API can be derived from the CSPs and the dissociation constant can
be calculated.
Example of the Use of CSPs to Derive Binding
Site and Dissociation
Constant of ANS to Filgrastim
The molecular probe 8-anilinonaphthalene-1-sulfonic
acid (ANS) experiences extrinsic fluorescence upon binding protein
surfaces. Initially, the measurement of CSPs was used to monitor the
binding of ANS to filgrastim samples (Figure ). Considering that the probe is aromatic,
it was expected that the magnitude of the CSP measured for ANS binding
to filgrastim (Figure A) would be larger, such as tenths of ppm per titration point, as
observed for ANS binding to calmodulin[14] or interleukin-1 receptor agonist.[15] Mapping
of CSPs on the surface of the structure of filgrastim (Figure B) shows that the largest number
of CSPs are observed in the vicinity of the small helix formed by
residues 47–55 with the second group of CSPs affecting residues
at the beginning of loop 56–70 and residues at the end of the
C-terminal helix. This may be indicative of two binding sites or a
single binding site located near or at the small helix that induced
a small change of the loop AB (in the area of residues 47–55)
conformation that also induce the CSP observed at the end of the C-terminal
helix (helix-D) (Tyr-165, Arg-169, and His-170). To distinguish between
these two possibilities, CSPs alone are not sufficient. Measurement
of internuclear distances between the probe and the protein would
be required to allow the proper docking of the probe to its binding
site(s), or carrying out structure determination using X-ray crystallography.[16] ANS may bind to proteins in some cases via ionic
interactions between its sulfate group and positively charged side
chains.[15] This mode of binding was suggested
to explain sample precipitation at higher protein concentrations.
In our study, ANS titration experiments using a filgrastim concentration
of 100 μM protein led to precipitation of the sample at high
ANS concentrations. In fact, two side-chain resonances assigned to
Arg-146 and Gln-145 show CSPs, which may support the thesis that the
probe may be involved in such a positive charge–sulfate interaction.
However, considering that the sample is at pH 4.0, the ANSamine group
is protonated, which would dampen an electrostatic interaction with
these charged residues on the protein surface. Moreover, many surrounding
residues in both binding sites provide neutral and hydrophobic side
chains to interact with the aromatic rings of the probe.
Figure 2
Binding of
8-anilinonaphtalene-1-sulfonic acid (ANS) to samples
of 30 μM 1H–15N-Met-GCSF in 10
mM sodium deuteron-acetate buffer at pH 4.0 measured by NMR and fluorescence
spectroscopy. (A) Expansion of the overlay of 2D-1H–15N-HSQC (tryptophan HN-indol resonances are not shown) (0
[red], 30 [green], and 87 [blue] μM ANS). Labeled resonances
with their corresponding peaks are expanded to show their chemical
shift perturbations (CSP) upon ANS addition. (B) Mapping CSPs on structures.
The structure of ANS is in the upper left corner of this panel and
residues experiencing CSP (see text) are represented by their side
chains as sticks where a subset is labeled. Regions of residues 47–55
are circled. (C) Dissociation constants (Kd) of residues showing CSPs calculated using eq . (D) Top panel: fluorescence spectrum at
1:1 ANS/GCSF molar ratio for two attempts (blue and red) and ANS only
in gray and black. Bottom panel: binding of ANS measured by fluorescence
with Kds of 143 and 231 μM for attempt
#1 in blue and #2 in red calculated using eq . The dotted line indicates the 1:1 ANS/GCSF
molar ratio.
Binding of
8-anilinonaphtalene-1-sulfonic acid (ANS) to samples
of 30 μM 1H–15N-Met-GCSF in 10
mM sodium deuteron-acetate buffer at pH 4.0 measured by NMR and fluorescence
spectroscopy. (A) Expansion of the overlay of 2D-1H–15N-HSQC (tryptophan HN-indol resonances are not shown) (0
[red], 30 [green], and 87 [blue] μM ANS). Labeled resonances
with their corresponding peaks are expanded to show their chemical
shift perturbations (CSP) upon ANS addition. (B) Mapping CSPs on structures.
The structure of ANS is in the upper left corner of this panel and
residues experiencing CSP (see text) are represented by their side
chains as sticks where a subset is labeled. Regions of residues 47–55
are circled. (C) Dissociation constants (Kd) of residues showing CSPs calculated using eq . (D) Top panel: fluorescence spectrum at
1:1 ANS/GCSF molar ratio for two attempts (blue and red) and ANS only
in gray and black. Bottom panel: binding of ANS measured by fluorescence
with Kds of 143 and 231 μM for attempt
#1 in blue and #2 in red calculated using eq . The dotted line indicates the 1:1 ANS/GCSF
molar ratio.The dissociation constant was
derived by measuring CSP of well-resolved
signals and assuming a 1:1 ratio of ANS with the residue corresponding
to that signal (Figure C). Values derived from the NMR data compared well with those measured
using fluorescence spectroscopy (Figure D).
Effects of Polysorbate Detergents
Analysis of potential
interactions or effects of detergents on 15N-Met-GCSF were
carried out on samples that were prepared by appropriately diluting
the labeled protein and detergents from their respective concentrated
stock solutions of protein and detergents to ensure that the protein-to-detergent
ratio was known. In all samples, the minimum detergent concentrations
(polysorbate-20 or -80) studied were at the formulation concentration,
which are above their respective CMCs (see the Experimental
Section for details).
Polysorbate-80
The addition of polysorbate-80
to the
NMR sample did not induce any observable CSPs. Measurement of relaxation
parameters (T1, T2, and HetNOE) did not reveal any informative elements (see Figure S1) that could inform on our previous
studies whereby a slight decrease of line intensities, i.e., the entire
amide signal envelope, without line broadening was observed at high
polysorbate concentration.[7] This behavior
is similar to samples that have high ionic strength, such as 50+ mM
salt concentrations. These samples absorb the electric field component
of the excitation pulse, thus requiring longer excitation pulses,
and they attenuate the detected signal, which result in a decrease
of signal intensity. However, polysorbate is not ionic, it does not
contribute to the ionic strength of the sample and relatively low
concentrations were used (0.3 mM). This loss of signal intensity at
high polysorbate concentrations remains unexplained. In contrast,
a study by Singh et al.[17] reported differential
intensity changes for some cross peaks in the 1H–13C two-dimensional (2D) spectrum of the Fab fragment of an
unknown IG-g1 monoclonal antibody upon titration of PS-80. However,
no changes of the contour map of the Fc were observed. Unfortunately,
they do not report any effects on the envelope of the one-dimensional
(1D) trace of their spectra, which would have indicated a similar
behavior. As reported earlier, NMR analysis of products with high
detergent concentrations requires partial or total detergent removal.[18]
Polysorbate-20
A study by Chang
et al.[19] has detected weak interactions
between PS-20 and filgrastim
and has measured a binding constant via isothermal calorimetry with
no changes on the protein secondary structure. Titration of polysorbate-20
in samples of filgrastim showed small but detectable CSP that were
mapped on the structure (Figure ). Like polysorbate-80, no effects on the dynamics
have been observed (see Figure S2). The
presence of CSPs in this case was initially puzzling, considering
that the concentration of detergent is above its CMC. The addition
of more PS-20 should simply drive the formation of more micelle assemblies
because the concentration of detergent monomer remains constant at
the CMC and should not induce any CSP, as observed with PS-80 micelles.
The only difference between PS-20 and PS-80 is the relatively shorter
length of the fatty acid moiety resulting in a smaller size of the
micelle particles. Notably, about 20% of the total alkyl chains of
PS-20 are short 10 carbons or less (∼10% C10; ∼10% C8;
and ∼1% C6) (USP National Formularies). These shorter chain
detergents, similar to alkyl glucoside detergents, probably have higher
CMC, thus allowing higher concentrations of short-chain detergent
monomers that can interact with filgrastim. Filgrastim does not present
any hydrophobic surfaces that would allow preferential binding of
long alkyl chain detergent. Molecules like ANS even do not bind primarily
via hydrophobic interactions because of the absence of such hydrophobic
regions. This explains the binding of PS-20 to filgrastim observed
by Chang et al.[19] Using CSPs, we derived
dissociation constants (Figure C), which are in the 200–600 μM range between
residues located at the top of the fold.
Figure 3
Titration of polysorbate-20
to samples of 30 mM 1H–15N-Met-GCSF in
10 mM sodium deutero-acetate buffer at pH 4.0
measured by NMR. (A) Expansion of the overlay of 2D-1H–15N-HSQC (red 0 μM, green 60 μM about PS-20 1×
CMC, cyan 587 μM 10× CMC, and blue 1487 mM 30× CMC
PS-20) showing a subset of labeled resonances experiencing CSP upon
PS-20 addition. (B) Mapping CSPs on Met-GCSF structure. Note that
most residues involved in PS-20 interactions are hydrophobic. (C)
Dissociation constants Kd (reported in
μM in parenthesis) for residues showing CSP calculated using eq .
Titration of polysorbate-20
to samples of 30 mM 1H–15N-Met-GCSF in
10 mM sodium deutero-acetate buffer at pH 4.0
measured by NMR. (A) Expansion of the overlay of 2D-1H–15N-HSQC (red 0 μM, green 60 μM about PS-20 1×
CMC, cyan 587 μM 10× CMC, and blue 1487 mM 30× CMCPS-20) showing a subset of labeled resonances experiencing CSP upon
PS-20 addition. (B) Mapping CSPs on Met-GCSF structure. Note that
most residues involved in PS-20 interactions are hydrophobic. (C)
Dissociation constants Kd (reported in
μM in parenthesis) for residues showing CSP calculated using eq .
Effects of pH
Melting curves monitored by Far-UV circular
dichroism showed (Figure B) a shift of 10° of the melting temperature upon a pH
decrease from 6.0 to 4.0. This indicated a gain of conformational
stability, also reported in other studies,[4,13,20,21] and could
be explained, as we proposed earlier,[7] by
the formation of the nonbonding cation−π interaction
at pH 4.0. Calculations of order parameters for backbone amides were
carried out from measurements of six relaxation parameters (T1, T2, and hetNOE,
measured at two fields: 600 and 700 MHz) using the model-free approach
with the implementation of the protocol developed by d’Auvergne
and Gooley.[22−26] The model-free formalism means that no a priori model is selected; it is optimized along the calculation pathway
to account for all experimental measurements. Also, this protocol
allows for no a priori diffusion tensor to be used;
it can therefore be optimized during the calculation of O2. An oblong diffusion tensor was selected to keep calculation times
within weeks. The x, y, and z axes could be optimized during the calculations. NMR-derived
order parameters provide a description of the amplitude of backbone
internal motions that are correlated to the entropy, thereby the free
energy of protein conformation.[11] The order
parameters for each residue along the primary sequence at three pHs
are shown in Figure S3. In this format,
there is one feature that strikes the eye: the order parameters for
the CD-loop (residues 126–145) show an increase of mobility
for these residues. This may a priori seem counterintuitive
considering that a gain in thermal stability resulting from the formation
of a nonbonding cation−π interaction should be associated
with a reduction of the polypeptide backbone mobility. Further examination
of the data shown in Figure S4 did not
shed light on the issue. However, a similar behavior was observed
with humangrowth hormone (hGH).[27] Led
and co-workers have observed that upon raising the temperature, hGH
gained conformational stability. Order parameters derived from NMR
data showed that a long flexible loop gained mobility while helices
became more rigid. In that study, order parameters for all residues
within a structural element, whether helix or loop, were summed and
averaged. Using this method, order parameters were summed and averaged
for each secondary structure elements (helices A, B, C, D, and AB-,
BC-, and CD-loops) at the three pH values. Figure A shows that upon lowering pH to 4.0, the
amplitude of backbone amide motions of all helices and loops decreased
as opposed to the CD-loop that increased, and to a lesser extend loop
AB. This gain of overall rigidity of the conformation is consistent
with a gain in stability. This could be explained by a tighter helical
bundle resulting from the formation of cation−π interactions
at pH 4.0. This nonbonding interaction between His-79 on helix-B and
Trp-118 on helix-C leads to a reduction of mobility between these
helices. The second cation−π interaction while weaker,
based on the smaller CSPs, involves His-52 located on the short helix
of the AB-loop, Trp-58 on the AB-loop, and His-156 on helix-D and
can “attach” the AB-loop to helix-D, thereby explaining
why this loop gain rigidity at lower pH. In addition, the protonation
of the carboxyl side chains of Glu-93, Glu-98, and Asp-104 could contribute
to reduce repulsive electrostatic interactions. These interactions
are illustrated in Figure B. These three residues are located at the end of helix-B,
BC-loop, and beginning of helix-C, respectively. Therefore, tightening
up of the helix bundle from the above interactions thus provides more
degrees of freedom for the CD-loop, which results in smaller order
parameters (larger amplitudes of motion) for this loop.
Figure 4
Effects of
pH on the dynamics of 100 μM 1H–15N-Met-GCSF in 10 mM sodium deuteron-acetate buffer measured
by NMR. (A) Order parameters for structural elements (see text) at
pH 4.0, 5.0, and 6.0. (B) Identification of loops AB and CD structural
elements and potential interactions on the structure of Met-GCSF.
(C) Cartoon representations to illustrate the observed change of order
parameters upon lowering pH. At left, the cartoon illustrates a reduction
of motion amplitude of helices (shorter arrows on helices) leading
to a significant increase of motion of loop CD (longer arrows on loops).
At pH 6.0, the acidic side chains of Asp-104, Glu-93, and Glu-98 are
deprotonated, thus inducing repulsive negatively charged interactions.
In addition, histidine side chains are not protonated and cannot participate
in stabilizing cation−π interactions. Lowering pH to
4.0 causes protonation of histidine residues and acidic side chains.
The newly formed nonbonding cation−π interactions and
absence of electrostatic repulsive interactions lead to a slight compaction
of the four-helix bundle (increase of order parameter, gain in rigidity,
shorter arrows on helices) with a resulting increase in degrees of
freedoms of loops AB and CD (longer arrows on loops) associated with
a decrease of order parameters for these elements at pH 4.0.
Effects of
pH on the dynamics of 100 μM 1H–15N-Met-GCSF in 10 mM sodium deuteron-acetate buffer measured
by NMR. (A) Order parameters for structural elements (see text) at
pH 4.0, 5.0, and 6.0. (B) Identification of loops AB and CD structural
elements and potential interactions on the structure of Met-GCSF.
(C) Cartoon representations to illustrate the observed change of order
parameters upon lowering pH. At left, the cartoon illustrates a reduction
of motion amplitude of helices (shorter arrows on helices) leading
to a significant increase of motion of loop CD (longer arrows on loops).
At pH 6.0, the acidic side chains of Asp-104, Glu-93, and Glu-98 are
deprotonated, thus inducing repulsive negatively charged interactions.
In addition, histidine side chains are not protonated and cannot participate
in stabilizing cation−π interactions. Lowering pH to
4.0 causes protonation of histidine residues and acidic side chains.
The newly formed nonbonding cation−π interactions and
absence of electrostatic repulsive interactions lead to a slight compaction
of the four-helix bundle (increase of order parameter, gain in rigidity,
shorter arrows on helices) with a resulting increase in degrees of
freedoms of loops AB and CD (longer arrows on loops) associated with
a decrease of order parameters for these elements at pH 4.0.
Effect of Sorbitol
The effects of
the bulking agent
sorbitol on the structure and dynamics of filgrastim were examined
at one time (1×: 274 mM) and three times the formulation concentration
(3×: 749 mM). Overlay of 2D 1H–15N-HSQC shows a large number of small CSPs (CSP = 0.001–0.040
ppm) that are less than the width at half height and increase with
sorbitol concentration. Mapping these on the structure (Figure ) reveals that sorbitol affects
the overall protein fold through a change of solvent activity arising
from the exclusion of water at the protein surface (first hydration
shell) and replacement with the sorbitol–water mixture. This
observation may be an example of ordering and compaction of the protein
fold in the presence of high concentrations of sugars, such as been
previously proposed with sucrose.[28] Analysis
of spectral overlay of well-resolved signals indicates that 63 proton
resonances move upfield upon increasing sorbitol concentration, while
42 move downfield with Trp-58 showing the largest perturbation (Figure ). The chemical shift
of amide protons is very sensitive to bond length in both intramolecular
and intermolecular hydrogen bonding. Variation of hydrogen bond strength
has the following effect on proton chemical shifts. Strengthening
of H-bonds decreases the donor (HN)–acceptor (C=O) distance
producing a concomitant lengthening of the N–H bond length,
resulting in a downfield chemical shift. The weakening of hydrogen
bonding produces the opposite, an upfield chemical shift.[29] If these amide proton upfield shifts are the
result of a weakening of hydrogen bonds, especially inside helices,
then the protein fold may be somewhat more “relaxed”
and looser on conformational stability. The explanation for these
upfield shifts may lie elsewhere. Previously, we have observed that
increasing salt concentrations and varying anion type (buffer →
Cl– → HPO42–) produced upfield changes of proton
chemical shifts.[7] It is conceivable that
sorbitol may produce an analogous effect to the Hofmeister ion effect
on protein stability. The presence of strongly hydrated anions such
as SO42– or HPO42– reduces the amount of free water, resulting in a less hydrated protein
and leading to a more stable conformation.[30,31]
Figure 5
Titration
of sorbitol to samples of 30 μM 1H–15N-Met-GCSF in 10 mM sodium deutero-acetate buffer at pH 4.0
measured by NMR. (A) Expansion of the overlay of 2D-1H–15N-HSQC (red 0 mM, green 274 mM 1× formulation concentration
of sorbitol, and 749 mM 3× formulation concentration of sorbitol).
A subset of resonances experiencing CSPs upon sorbitol addition are
labeled. (B) All detected CSPs are mapped in red on the structure.
Titration
of sorbitol to samples of 30 μM 1H–15N-Met-GCSF in 10 mM sodium deutero-acetate buffer at pH 4.0
measured by NMR. (A) Expansion of the overlay of 2D-1H–15N-HSQC (red 0 mM, green 274 mM 1× formulation concentration
of sorbitol, and 749 mM 3× formulation concentration of sorbitol).
A subset of resonances experiencing CSPs upon sorbitol addition are
labeled. (B) All detected CSPs are mapped in red on the structure.A selection of 42 residues with well-resolved resonances
that exhibit
downfield amide proton CSPs may experience a slight but detectable
strengthening of an existing hydrogen bond, i.e., the shortening of
the donor–acceptor distance, or the formation of a transient
hydrogen bond resulting from a modification of the local conformational
exchange. Examination of the ensemble of 10 structures derived from
NMR spectroscopy[3] (PDBID: 1GNC) provides some avenues
to shed light on the above observed CSPs. Protein structures derived
from X-ray crystallography data are obtained by fitting electron density
maps. They have the advantage of producing precise local geometries
(bond angles, etc.) but represent the protein conformation in a crystal
that sometimes has local differences from its solution structure that
experience motions. In contrast, NMR structures are models that fit
all NMR measurements (experimental constraints such as NOE-derived
internuclear distances, torsion angles, etc.) without any violations.
The quality of NMR structures is reported in terms of root-mean-square
(RMS) deviation between all models, which is directly dependent on
the number of experimental constraints used in the calculation. Often
times, loops and N- and C-termini are not well defined due to the
lack of geometrical constraints resulting from a local conformational
exchange or simply because they cannot be measured. The root-mean-square
deviation (RMSD) for the backbone atoms is only 2.8 Å (3.4 Å
for all atoms). Therefore, this low-resolution ensemble offers a set
of 10 models that can be examined to identify possible transient interactions
that could appear or be strengthened upon sorbitol addition. Analysis
of these 10 models for the above 42 residues suggests that two types
of hydrogen bonding may explain the observed CSP: intraresidue (C5
hydrogen bonds) and inter-residue hydrogen bonds.Raines and
co-workers have suggested the formation of C5 hydrogen
bonds in β-sheet secondary structure elements that could afford
a non-negligible contribution (0.25 kcal/mol) to the stabilization
of the protein conformation.[29] In this
case, the donor–acceptor distance must be less than 2.5 Å
with backbone Φ and Ψ torsion angles greater than 140°
to allow an overlap of the carbonyl oxygen lone pair (ns) and the amide N–H σ* orbitals forming
a “five-membered ring,” thereby the notation “C5
hydrogen bond”. The resonance of Trp-58 shows the largest downfield
amide proton shift of 0.04 ppm. This residue in model #9 has the appropriate
geometry to form a C5 hydrogen bond (Figure ). This geometry is also present for Ser-63
in model #4 and Gly-100 in model #6 although with a smaller CSP of
0.012 ppm. Ile-56 can interact with Ser-53 in several models as depicted
in Figure . All other
residues exhibiting negative CSPs (downfield shifts) are mainly populating
the extremities of helices and are involved in hydrogen bonding within
α-helices. These perturbations may be seen as sensors indicating
a tightening up of α-helices extremities (small reduction of
the propensity of helices to fray) upon sorbitol addition.[32,33] The presence of small CSP in the middle of helices may be consistent
with a slight compaction of the fold whereby helices may be adopting
a slight curvature. This would explain the presence of both upfield
(lengthening of some hydrogen bond) and downfield (shortening of hydrogen
bond) chemical shift changes that are observed. These observations
may reveal that transient interactions (hydrogen bonds here) may have
longer lifetime in the presence of some excipients, namely sorbitol
in this case.
Figure 6
Mapping of residues showing downfield amide proton shifts
on the
structure of Met-GCSF. For the ribbons, cyan represents small changes
(0.020 ppm ≤ CCSD < 0.025 ppm), yellow represents moderate
changes (0.025 ≤ CCSD < 0.030 ppm), and red represents largest
changes (0.030 ppm ≤ CCSD). Residues showing largest shifts
are identified (boxes) with the potential hydrogen bonds formed upon
sorbitol addition (see text for details).
Mapping of residues showing downfield amide proton shifts
on the
structure of Met-GCSF. For the ribbons, cyan represents small changes
(0.020 ppm ≤ CCSD < 0.025 ppm), yellow represents moderate
changes (0.025 ≤ CCSD < 0.030 ppm), and red represents largest
changes (0.030 ppm ≤ CCSD). Residues showing largest shifts
are identified (boxes) with the potential hydrogen bonds formed upon
sorbitol addition (see text for details).The small CSPs of a few ppb may be indicative of small but detectable
stabilizing interactions by NMR but too small to shift thermal unfolding
curves measured by CD. This may stem from the fact that a rise in
temperature during the unfolding experiment may be sufficient to counteract
the stabilizing effect afforded by the bulking agent upon increasing
thermal agitation of the sorbitol–water mixture and filgrastim.
Therefore, we set to measure dynamic-dependent parameters to see if
sorbitol induces any changes in backbone dynamics in the fast-motional
regime (picosecond to nanosecond). Here, measurements were only carried
out at 3 times the formulation concentration (793 mM) at two fields.
It is expected that at such a high concentration, viscosity effects
will slow molecular tumbling (increase of the correlation time) of
protein molecules, which in turn will increase T1 and decrease T2 while having
little to no effects on the heteronuclear NOE (see Figure S4). As above, we calculated the order parameter (O2) with six relaxation parameters (T1, T2, and hetNOE measured at two fields:
600 and 700 MHz) using the model-free approach protocol in an attempt
to determine the presence of any effects of sorbitol on the dynamics.
Considering that we were trying to compare two samples with different
viscosities (0 and 793 mM sorbitol), no diffusion tensor model was a priori selected to allow the search of the total tensor
space. This resulted in a rotational diffusion tensor at high sorbitol
content that was strikingly different than the tensor of the protein
in pH 4.0 buffer (see Figure S6). The calculated
order parameter per residue (see Figure S5) is again represented as average per structural elements as above
in the pH study. At high sorbitol concentration, helices B and C along
with loop BC are experiencing an increase of backbone amplitude of
motion, while loop AB and loop CD show a reduction of motion amplitude
(Figure A). This observation
may be explained by the following. Replacement of the hydration shell
with sorbitol produces a reduction of the polarity of the surrounding
water, resulting in a weakening of the core hydrophobic interactions
that keep the four helices packed together. Examination of the structure
(Figure B,C) suggests
that Helix B, Loop BC, and Helix C can move as an ensemble, which
would induce stretching of loops AB and CD, thereby reducing their
degrees of freedom. These structural elements do experience a slight
reduction of mobility according to the order parameters.
Figure 7
Effects of
sorbitol on the dynamics of 1H–15N-Met-GCSF
in 10 mM sodium deuteron-acetate buffer at pH
4.0 measured by NMR. (A) Order parameters calculated (see text) for
Met-GCSF at 0 and 793 mM sorbitol. (B) Structure of Met-GCSF where
helices B and C are colored cyan. (C) Cartoon representations of the
observed change of order parameters upon addition of sorbitol. The
addition of sorbitol induces a decrease of order parameters for helices
B and C and loop BC. In this case, the trio helix B–loop BC–helix
C experienced an increase of the amplitude of motion of their backbone
amides (longer arrows on helices), which in turn reduces the flexibility
of loop CD and to a lesser extent loop AB by reducing the number of
degrees of freedom of these elements (shorter arrows). The dynamics
of helices A and D are not influenced by sorbitol.
Effects of
sorbitol on the dynamics of 1H–15N-Met-GCSF
in 10 mM sodium deuteron-acetate buffer at pH
4.0 measured by NMR. (A) Order parameters calculated (see text) for
Met-GCSF at 0 and 793 mM sorbitol. (B) Structure of Met-GCSF where
helices B and C are colored cyan. (C) Cartoon representations of the
observed change of order parameters upon addition of sorbitol. The
addition of sorbitol induces a decrease of order parameters for helices
B and C and loop BC. In this case, the trio helix B–loop BC–helix
C experienced an increase of the amplitude of motion of their backbone
amides (longer arrows on helices), which in turn reduces the flexibility
of loop CD and to a lesser extent loop AB by reducing the number of
degrees of freedom of these elements (shorter arrows). The dynamics
of helices A and D are not influenced by sorbitol.
Conclusions
Excipients do not only act in an indirect
fashion, such as providing
a stable aqueous milieu for the protein to tumble into. If this were
the case, one would expect that a single solution would fit all products.
It is clearly not the case; therefore, manufacturers deploy significant
resources to find the best mix of excipients for their particular
product. Chemical shift perturbation and NMR-derived order parameters
have both contributed to shed light on how excipients contribute to
enhance the stability of the drug substance. Probing changes of backbone
dynamics in the presence of product excipients could provide new insights
into chemical modifications such as asparagine deamidation as these
are influenced by backbone motions. While some findings proposed here
could be applied to other protein therapeutics, a wider set of drug
substances, including monoclonal antibody fragments, should be studied
by NMR in parallel with other biophysical techniques to develop a
more generalized understanding of excipient interactions at the atomic
level.
Experimental Section
Sample Preparation
Expression and
purification of 15N-Met-GSCF were carried out exactly as
described previously.[7] All samples of 15N-Met-GCSF for NMR
spectroscopy were prepared from a stock protein solution at ∼100
μM protein concentration in 10 mM sodium acetate at pH 4 final
volumes of 550 μL, while samples for CD used a formulation concentration
of 30 μM of the protein. Samples at pH 5.0 and 6.0 were buffer-exchanged
with 10 mM deuterated sodium acetate buffer at pH 5.0 and 6.0, respectively,
using a 15 mL Amicon Ultrafiltration device with a 10 kDa molecular
weight cutoff. The final concentration of 15N-Met-GCSF
and the actual pH values after the buffer exchange were measured at
∼100 μM at pH 4, 5, and 6. Samples for relaxation measurements
of excipients (sorbitol, polysorbate-80 and -20) were prepared by
adding the appropriate amounts of individual excipients from concentrated
stock solutions into a 100 μM 15N-Met-GCSF sample
such as to minimize protein dilution. The concentrations of various
excipients were sorbitol (0, 274, 749 mM for chemical shift perturbation
(CSP) experiments and 793 mM for relaxation experiments), Polysorbate-80
(0, 30, 100, 300 μM), and Polysorbate-20 (0, 600, 1000, and
1400 μM). The initial 15N-Met-GCSF concentration
was 100 μM; therefore, the molar ratio of [polysorbate 80]/[15N-Met-GCSF] of these four samples computed to 0:1 (0 ×
CMC), 0.33:1 (2.5 × CMC), 1:1 (5 × CMC), and 3:1 (25 ×
CMC). Stock solutions of 0.1, 1.0, and 9.0% (w/w) polysorbate 80 were
used to prepare the desired detergent concentrations in the final
NMR samples. Data collection of relaxation rates was acquired at 600
and 700 MHz at 25 °C. Samples containing polysorbate 20 (Sigma-Aldrich,
St. Louis, MO) were prepared at concentrations of 0, 600, 1000, and
1400 μM. Here, the initial 15N-Met-GCSF concentration
was 30 μM; thus, the molar ratio [polysorbate 20]/[15N-Met-GCSF] of these four samples computed to 0:1 (0 × CMC),
20:1 (11 × CMC), 35:1 (18 × CMC), and 50:1 (25 × CMC).
A stock solution of 2.5% (w/w) polysorbate 20 was used to obtain the
desired detergent concentrations in the final NMR samples.
Circular
Dichroism Spectropolarimetry
Samples were
prepared to the appropriate concentrations of protein and excipients
and at pH 4 with a final volume for each condition of 600 μL.
Sample analyses were run in a 1 mm path length quartz Suprasil cuvette
(Hellma, Mullheim, Germany) on a Jasco 815 spectropolarimeter (Jasco
International Co. Ltd., Tokyo, Japan) equipped with a Peltier thermal
control unit. Jasco’s Spectra Manger Software controlled both
the instrument and thermal control unit. Sample analyses included
thermal denaturation between 20 and 90 °C at a rate of 1 °C/min,
while monitoring Far-UV CD signal (in millidegrees) at 222 nm, with
a data pitch of 1 nm and response time of 1 s. The data was recorded
every 1 °C with an absolute error of ±0.5 °C on the
measurement. Measurements were repeated three times for obtaining
an estimate of the measurement error in the form of standard deviation.
All spectra were corrected for buffer and/or excipient signal where
appropriate. Fractional (normalized) change in signal was calculated
according to previously published studies using the CDpal software.[34−37]
ANS Binding by Fluorescence Spectroscopy
8-Anilinonaphtalene-1-sulfonic
acid (ANS, Sigma-Aldrich, St. Louis, MO) was dissolved in deuterated
dimethyl sulfoxide (DMSO)-d6 (Cambridge
Isotope Laboratories Incorporated, Andover, MA), at various concentrations
(ranging between 1 and 30 μg/μL) and was added incrementally
to ca. 200 μL of solution of 15N-Met-GCSF in 96-well
plates (Costar 3603, Tissue Culture Treated polystyrene, Corning Incorporated,
Corning, NY). Samples containing 10 and 30 μM of 15N-Met-GCSF in 10 mM sodium acetate-d3 at pH 4.0 were prepared. At each protein concentration, a total
of 12 data points (titrations) with increasing molar ratios of ANS
were collected such that [ANS]/[15N-Met-GCSF] were ranging
between 0 and 27. Fluorescence measurements were carried out in duplicate
for each protein concentration using a Biotek spectrometer model Epoch/SynergyMX.
Excitation was carried out at 360 nm and emission at 400–600
nm. Data were analyzed using the Gen5 software.
ANS Binding
by NMR Spectroscopy
This binding study
was carried out with an initial 15N-Met-GCSF protein concentration
of 30 μM with an ANS stock solution of 1 mg/mL (dissolved in
10 mM deuterated sodium acetate, pH 4.0), or an initial labeled protein
concentration of 100 μM with a 29 mg/mL ANS (dissolved in DMSO-d6). Two-dimensional 15N-HSQC spectra
acquired for 15N-Met-GCSF at both concentrations supplemented
with ANS in molar ratios of [ANS]/[15N-Met-GCSF] = 0, 1,
3, and 6, respectively. Measurements were done in duplicate. A dissociation
constant was calculated using eq (16)Chemical shift changes, measured as combined
chemical shift difference (CCSD),[38] were
monitored with increasing amounts of ANS, by recording 15N-HSQC experiments on 15N-Met-GCSF at 25 °C. In total,
data for seven titrations with increasing molar ratios of ANS were
collected, such that [ANS]/[15N-MET-GCSF] were 0, 0.1,
0.3, 1.0, 3.0, 6.0, and 9.0, respectively. 15N-Met-GCSF
showed a strong tendency to aggregate at ANS molar ratio larger than
9.0.A dissociation constant was calculated for each residue
that showed chemical shift perturbation using eq (38)where Δδobs is the
change in the observed chemical shift from the free state, Δδmax is the maximum shift change that occurs at saturation, n is the number of equivalent sites, [P]t is the total protein concentration, and [L]t is the total ligand concentration. While Δδobs, [P]t, and [L]t were known for each titration step, Δδmax, n, and Kd were optimized in a nonlinear least-square fit of the model to NMR
data using Microsoft Excel.
Monitoring 15N-Met-GCSF Chemical
Shift Changes versus
Polysorbate 20
Polysorbate 20 was ordered from four different
sources: TCI America (Portland, OR, manufactured in Japan), Sigma-Aldrich
(St. Louis, MO, manufactured in Switzerland), Bio-Rad Laboratories
Incorporations (manufactured in USA), and Acros Organics (Fair Lawn,
NJ, manufactured in Belgium).Chemical shift changes were monitored
by 15N-HSQC and 13C-HSQC as a function of added
polysorbate 20. Three series of titrations were conducted. First,
polysorbate 20 was titrated into NMR buffer (10 mM deuterated sodium
acetate-d3, pH 4.0) at concentrations
of 206, 403, and 1411 μM and 15N-HSQC and 13C-HSQC spectra were recorded for each concentration. Following the
buffer-only titration, a sample of 30 μM 15N-Met-GCSF
was prepared and titrated with polysorbate 20, such that the final
polysorbate concentrations were 0, 203, and 406 μM, corresponding
to molar ratios [polysorbate 20]/[15N-Met-GCSF] of 0:1
(0 × CMC), 6.8:1 (3.7 × CMC), 13.5:1 (7.4 × CMC), and 15N-HSQC and 13C-HSQC spectra were recorded for
each concentration. Finally, a sample of 100 μM 15N-Met-GCSF was prepared and titrated with polysorbate 20, such that
the final polysorbate concentrations were 0, 32, 64, 100, 203, and
406 μM, corresponding to molar ratios [polysorbate 20]/[15N-Met-GCSF] of 0:1 (0 × CMC), 0.3:1 (0.6 × CMC),
0.6:1 (1.2 × CMC), 1:1 (1.8 × CMC), 2:1 (3.7 × CMC),
and 4:1 (7.4 × CMC) and 15N-HSQC and 13C-HSQC spectra were recorded for each concentration. The stock solutions
of polysorbate 20 that were used for titrations were either at 2.5%
(w/w) or at 1% (w/w) and were prepared from polysorbate 20 purchased
from Sigma-Aldrich (St. Louis, MO, manufactured in Switzerland).d-Sorbitol was purchased
from Sigma-Aldrich, St. Louis, MO. d-Sorbitol stock solution
(∼4.0 M) was prepared in 10 mM deuterated sodium acetate at
pH 4.0.15N-Met-GCSF samples with final concentrations
of 100 μM and final volumes of 550 μL were prepared in
10 mM deuterated sodium acetate at pH 4.0. For chemical shift changes, 15N-HSQC experiments were acquired at three different sorbitol
concentrations, namely 0, 274, and 749 mM. Initially, experiments
were carried out at 25 °C. However, as the backbone amidenitrogen
for Trp-58 is well resolved at 45 °C, the 15N-HSQC
experiments were repeated at 45 °C. For spin relaxation studies, T1, T2, and heteronuclear
NOE experiments were acquired at two different sorbitol concentrations,
namely 0 and 749 mM. Relaxation experiments were acquired at both
600 and 700 MHz fields at 25 °C. The collected spin relaxation
data for the sorbitol study was analyzed in nmr-relax[25,26] as described in the NMR Spectroscopy section
below.
NMR Spectroscopy
Sensitivity-enhanced, temperature-compensated,
interleaved experiments from the Bruker library (Topspin, version
3.6) were utilized for samples at pH 4, 5, and 6. Data were acquired
on a Bruker 600 MHz Avance III and a Bruker 700 MHz Avance III-HD
(Milton, ON) equipped with TCI with cryo-probes. The pulse program
hsqct1etf3gpsitc3d from the manufacturer library was used to determine
relaxation times T1 using the following
delays of 20, 40, 120, 200 (×2), 300, 450, 600, 800, 1000, 1200
(×2), 1400, and 1800 ms. The T2 relaxation
time were determined using the pulse program hsqct2etf3gpsitc3d.2
with delays of 0, 8.48, 16.96, 25.44 (×2), 33.92, 59.36, 84.8,
110.24, 135.68 (×2), 161.12, and 195.04 ms. Total data acquisition
time are on the order of 60:24 h each for T1 and T2 experiments and 12 h for the
heteronuclear NOE experiments.Heteronuclear NOE experiments
were collected using the pulse program hsqcnoef3gpsi3d. The spectral
widths for direct and indirect dimensions were 16.0 and 29.0 ppm,
respectively, with center frequencies for the two carriers being set
at water resonance and 117.5 ppm, respectively. A total of 256 points
were acquired in the indirect dimension corresponding to an acquisition
time of 100 ms. The interscan delay was set to 1.5 s for T1 and T2 experiments and to
3.0 s for the heteronuclear NOE experiment. For all subsequent 15N-based NMR experiments, these settings were used, with the
exception of interscan delay, which was set to 1 s for 15N-HSQC experiments. For error estimations in R1 and R2 rates, duplicate measurements
were performed for two different relaxation delays. For heteronuclear
NOE experiments, an error of 5% was assigned based on the work of
Montelione and co-workers.[39,40]Spectra were
processed and relaxation rates and heteronuclear NOEs
were extracted using nmrPipe.[41] Chemical
shifts were extracted using Sparky version 3.1 and NMRFam-Sparky version
1.2.[42,43]Calculation of order parameters through
model-free formalism,[22−24,44−46] the program
nmr-relax, version 4.0.3[25,26,47] installed on a Mac Pro with 3 GHz eight-core Intel Xeon E5 processors
was employed. The first model of the ensemble of solution NMR structures
of Met-GCSF (pdb accession code: 1GNC) was chosen for setting up dipolar interactions
and chemical shift anisotropy mechanisms. Six data sets (i.e., R1, R2, and heteronuclear
NOE collected at both 600 and 700 MHz) were used as input data for
each pH experiment. Adopting the d’Auvergne protocol, initially
local correlation times for each residue were determined, and models
with internal correlation times (tm0, tm1, etc.) were selected based
on Akaike’s Information Criteria (AIC) and chi-square in nmr-relax.
The total computational time for this step was ∼48 h. The diffusion
tensor was then chosen (DIFF_MODEL = “ellipsoid”) and
optimized through iterations with Newton’s minimization algorithm
(MIN_ALGOR = “newton”) until a solution was found. The
total number of iterations for ellipsoid as diffusion tensor was 6
(7 cycles including the initial “init” cycle), with
each iteration taking anything from 90 min to several days to reach
completion. Visual inspection of diffusion tensors showed that after
five cycles of calculations the optimal tensor was found, and the
calculations had converged. The number of Monte-Carlo steps was set
to 50, and the size of the grid search was 11 × 11 (GRID_INC
= 11) for all calculations. This analysis procedure was repeated for
every experimental pH (4.0, 5.0, and 6.0).
Authors: Hugh I Smith; Nicolas Guthertz; Emma E Cawood; Roberto Maya-Martinez; Alexander L Breeze; Sheena E Radford Journal: J Biol Chem Date: 2020-07-13 Impact factor: 5.157