We describe a strategy for rendering peptides resistant to proteolysis by formulating them as high-density brush polymers. The utility of this approach is demonstrated by polymerizing well-established cell-penetrating peptides (CPPs) and showing that the resulting polymers are not only resistant to proteolysis but also maintain their ability to enter cells. The scope of this design concept is explored by studying the proteolytic resistance of brush polymers composed of peptides that are substrates for either thrombin or a metalloprotease. Finally, we demonstrate that the proteolytic susceptibility of peptide brush polymers can be tuned by adjusting the density of the polymer brush and offer in silico models to rationalize this finding. We contend that this strategy offers a plausible method of preparing peptides for in vivo use, where rapid digestion by proteases has traditionally restricted their utility.
We describe a strategy for rendering peptides resistant to proteolysis by formulating them as high-density brush polymers. The utility of this approach is demonstrated by polymerizing well-established cell-penetrating peptides (CPPs) and showing that the resulting polymers are not only resistant to proteolysis but also maintain their ability to enter cells. The scope of this design concept is explored by studying the proteolytic resistance of brush polymers composed of peptides that are substrates for either thrombin or a metalloprotease. Finally, we demonstrate that the proteolytic susceptibility of peptidebrush polymers can be tuned by adjusting the density of the polymer brush and offer in silico models to rationalize this finding. We contend that this strategy offers a plausible method of preparing peptides for in vivo use, where rapid digestion by proteases has traditionally restricted their utility.
The biocompatibility
and ease of programming of peptides have long
inspired their development as therapeutics,[1−4] signaling agents,[5] and sensors.[6] However, significant
problems limit their use in vivo, including short durations of activity
resulting from rapid digestion by endogenous proteases and efficient
renal clearance due to their generally low molecular weights.[1−4] Proteolytic digestion of circulating peptides can be rapid, occurring
with half-lives of less than a few minutes, owing to the abundance
of active proteases in both serum and tissues.[4] The greatest threats to peptide integrity are found in the lumen
of the small intestine, which contains gram quantities of proteases
secreted by the pancreas (i.e., α-chymotrypsin, trypsin, and
carboxypeptidases), as well as in the brush border membrane of epithelial
cells, which houses some 15 peptidases that together cleave amide
bonds in peptides and proteins with little specificity.[4,7] In practice, unmodified therapeutic peptides are typically directly
injected at the site of interest to minimize proteolytic degradation,
and many are used only as last-resort, salvage treatments in patients
with multidrug resistant afflictions.[4] Harnessing
the inherent specificity, affinity, and low immunogenicity of peptides
in therapeutic and diagnostic applications will require the development
of simple, widely applicable, and easy-to-access methods that protect
active peptides from proteolysis, but do not hinder their function.Traditional strategies for limiting enzymatic degradation involve
chemical modification of the peptide, including the incorporation
of unnatural amino acids (e.g., d-amino acids),[8−13] terminal capping via acetylation of the N-terminus
or amidation of the C-terminus,[14] introduction of backbone modifications such as N-methylation,[15−17] use of stabilizing linkers,[18−21] cyclization,[22−24] and conjugation to polyethylene glycol (PEG).[25−29] Hence, chemistries are chosen such that peptides are no longer recognized
by, or become inaccessible to, the active site of a proteolytic enzyme.
However, because these strategies modify the connectivity, or amino
acid identity of the peptide, they can reduce its bioactivity, often
necessitating multiple rounds of structure–function studies
to restore the activity of the material.[30] Strategies that do not require direct modification of the peptide
chemical structure typically involve manipulation of their three-dimensional
spatial arrangement via chemical conjugation of the peptide to a higher
molecular weight structure. Architectures of this type include peptide–polymer
conjugates[31] or systems involving the display
of multiple copies of the peptide on a small molecule scaffold.[32−34] However, in practice syntheses of these materials often require
multiple conjugation and purification steps, or the preparation of
complicated scaffolds that are not generalizable or conveniently deployed.We present a new methodology for protecting active peptides from
proteolysis by packaging them into high-density brush polymers via
ring opening metathesis polymerization (ROMP), using an easily prepared
initiator. This strategy is inspired by observations we have made
in our laboratory over several years, involving the behavior of brush
polymers that result from the graft-through polymerization of norbornyl-peptide
monomers via ROMP. Specifically, we have observed that polymerization
can result in structures that resist proteolysis relative to their
monomeric analogues.[35,36] Given these observations, we
hypothesized that polymerized peptides, while protected from proteolysis,
would maintain their intended biological function and that this phenomenon
might be a general feature of peptides arranged in this manner. If
so, such an approach could provide a general, accessible route to
the development of proteolytically resistant peptide displays capable
of performing the functions inherent to the peptide, such as binding
a receptor or ligand, initiating a signaling pathway, penetrating
a cell, or inducing a therapeutic effect. We envision that such a
strategy will provide a feasible route for the preparation and delivery
of peptides in future therapeutic applications, where the peptide
is active on the polymer or is released at a given place and time
via a cleavable linkage.To test the core concept, we prepared
two canonical cell-penetrating
peptides (CPPs), Tat (YGRKKRRQRRR)[37−39] and Arg8 (RRRRRRRR),[40−42] as modified norbornene monomers and polymerized them to generate
brush polymers via ROMP. There is a long history of appending peptides
with interesting functional properties, such as an ability to penetrate
cells[43−45] or a propensity for localizing inside a cellular
nucleus,[46−48] directly to a material of interest in order to bestow
that same property on the new material. Indeed, CPPs have been used
in this regard and have been shown to effectively penetrate cells
when chemically conjugated to small molecule drugs, therapeutic peptides,
and other structures.[43−45] While effective for model studies, the downside to
this strategy is that CPPs (and all other targeting peptides composed
of naturally occurring amino acids) are generally still susceptible
to proteolytic degradation, when conjugated as individual, linear
peptide sequences.[45] We reasoned that a
CPP organized as a high-density brush polymer might be resistant to
proteolysis but still able to efficiently penetrate and carry a cargo
into cells. Here, we show that polymerized Tat and Arg8 are at least
as efficient at penetrating cells as individual CPPs. Additionally,
we generate ∼10–50 nm diameter spherical micellar assemblies
of a CPP-containing brush polymer and demonstrate that this formulation
also penetrates cells efficiently. Importantly, both polymer and particle
formulations of the CPPs are resistant to proteolysis under conditions
that freely degrade the peptides. Therefore, in a critical demonstration
of this concept, the materials still penetrate cells after exposure
to multiple proteases unlike the standard CPPs, which are inactivated
by cleavage.The generality of this approach was tested by polymerizing
two
additional peptide substrates for two different classes of enzymes:
a matrix metalloprotease (MT1-MMP) and a serine protease (thrombin).
These studies further confirm that polymerized peptides are more resistant
to proteolytic digestion than their monomeric analogues. We conjectured
that this resistance is derived from the high packing density of the
peptides in the polymer brush and we tested this concept through both
experimental and computational analyses of blend copolymers with varying
densities of peptide. Computational studies validated experimental
findings and supported the notion that copolymerization of the peptide
monomer with a monomer containing a short oligoethylene glycol (OEG)
sequence alleviates steric congestion, and potentially noncovalent
interactions among the peptide strands. These phenomena otherwise
prevent access to the active site of a protease, and are features
that typically impart proteolytic resistance to globular protein structures.
Together, these data suggest that bioactive peptides can be packaged
as polymers to attenuate proteolytic degradation in a tunable fashion,
and, since the identity of the amino acid sequence is unaltered, the
inherent function of the peptide will, in many cases, be preserved.
Results
and Discussion
Polymerization of Cell Penetrating Peptides
Validation
of the proteolytic resistance and bioactivity of polymerized CPPs
required preparation of well-defined brush polymers with low dispersity
via a living polymerization method. High-density brush polymers of
known cell-penetrating peptides, Tat and Arg8, together with appropriate
control polymers, were prepared via living ROMP by a popular initiator,
((H2IMES)(pyr)2(Cl)2Ru=CHPh)[49] (1, Figure 1). ROMP by this initiator was selected for preparation of these materials
for a variety of reasons. First, the initiator exhibits fast initiation
and slower propagation kinetics, which typically afford polymers with
exceptionally narrow molecular weight distributions. Second, it is
highly functional group tolerant, enabling the incorporation of a
wide range of chemical functionality via polymerization of groups
pendant to a norbornene moiety, including fluorophores,[50] drugs,[51−53] sugars,[54] oligonucleotides,[55] and peptides.[35,56−59] We note that very few polymerization techniques have been shown
to incorporate peptides directly by graft-through polymerization from
a peptide-containing monomer. Reports on graft-through polymerization
of peptides by reversible addition–fragmentation chain transfer
(RAFT)[60−63] or free-radical polymerizations[64−66] describe only blend
polymers with less than 50% incorporation of peptides. Additionally,
the polymers produced by these methods generally have broader molecular
weight distributions than those typically afforded by ROMP.[35] Furthermore, a high degree of functionality
and complexity can be readily generated on a single polymer via ROMP
by preparing multiblock copolymers of appropriately functionalized
norbornene monomers or via the use of chain transfer agents to end-label
a polymer through a single cross metathesis event upon complete consumption
of monomers.
Figure 1
Synthetic
routes for the polymerization of cell penetrating polymers
and controls. Routes to the preparation of (A) homopolymers and (B)
block copolymers. Note that the guanidinium moiety and Arg8 peptide
are polymerized with protecting groups and deprotected after polymerization
by treatment of the polymers with a TFA solution. For each polymer, m and n are the degrees of polymerization
(DPs) given in Table 1. See the Experimental Section and Supporting Information for synthetic details.
Peptides used to generate ROMP monomers were prepared
by solid phase peptide synthesis (SPPS) using standard fluorenylmethyloxycarbonyl
(FMOC) chemistry. Peptide monomers were prepared by coupling a carboxylic
acid-modified norbornene to the N-terminus of the
desired peptide sequence on resin. We have shown previously that peptide
monomers with side chain protecting groups and a five-carbon linker
between the peptide and the norbornene unit generally polymerize at
faster rates than those with shorter linkers or those that possess
no protecting groups.[35] Therefore, we prepared
all peptide monomers with this linker and used an Arg8 monomer with
side chains protected. However, efforts to prepare and polymerize
the protected Tatpeptide were thwarted by poor solubility of the
protected material in solvents compatible with the ROMP initiator.
Therefore, the Tatpeptide monomer was prepared without protecting
groups (see Figure S1 in the Supporting Information for chemical structures
of monomers). All peptides that were incorporated into polymers were
also separately prepared (without norbornyl-groups) as fluorescein-labeled
peptides via conjugation of 5/6-carboxyfluorescein to the ε-amino
group of an N-terminal lysine, for use as controls
to evaluate the cellular uptake efficiency of the peptides alone versus
polymerized materials. (See Figure S2–S3
and Table S1 for characterization data of the peptide controls.)Synthetic
routes for the polymerization of cell penetrating polymers
and controls. Routes to the preparation of (A) homopolymers and (B)
block copolymers. Note that the guanidinium moiety and Arg8peptide
are polymerized with protecting groups and deprotected after polymerization
by treatment of the polymers with a TFA solution. For each polymer, m and n are the degrees of polymerization
(DPs) given in Table 1. See the Experimental Section and Supporting Information for synthetic details.
Table 1
Characterization of Cell Penetrating
Polymer and Controlsa
block m
block n
polymer side chain identity (R1,
R2 groups)
Mnb
Mw/Mnc
DP (m)d
Mnb
Mw/Mnc
DP (n)d
OEG
3 600
1.026
10 (10)
–
–
–
GSGSG
5 700
1.049
10 (12)
–
–
–
Tat
8 600
n/a
5 (6)
–
–
–
Arg8
36 000
1.08
8 (6)
–
–
–
OEG-b-Guanidinium
8 300
1.016
23 (15)
12 000
1.07
8 (12)
Phenyl-b-GSGSGe
14 000
1.021
54 (70)
18 000
1.021
8 (12)
Phenyl-b-Tate
13 000
1.013
52 (70)
22 000
1.11
5 (6)
Block m and n refer to the first and second block to be
polymerized
as shown in Figure 1. Each polymer is named
according to the identity of the monomer polymerized as drawn in Figure 1. Block copolymers are listed with block m first and block n second.
Number-average molecular weight
from light scattering.
The
dispersity of each block.
Experimentally determined degree
of polymerization for block m and block n as denoted in Figure 1B, with theoretical
values based on the amount of material used, in parentheses.
Amphiphilic polymers were formulated
into nanoparticles, denoted in the text as the GSGSG Particle and
Tat Particle. All data were obtained by SEC-MALS, except for those
describing the Tat polymer, which did not elute on the SEC column
and was instead characterized in a cuvette using batch-mode static
light scattering. Without the SEC component, no information on the
molecular weight distribution of this polymer was obtained. However,
the amphiphilic polymer that contains Tat (Phenyl-b-Tat) eluted well on SEC and yielded close to the predicted DP in
low dispersity. Repeated polymerizations of peptide-containing homopolymers
yield consistent numerical values. The SEC-MALS chromatograms for
each polymer are provided in Figure S4.
Each peptide-based monomer was polymerized, and the resulting
polymers
were end-labeled with fluorescein to enable tracking of the uptake
of the material and to serve as a model cargo (Figure 1A). In addition to polymers containing the canonical Tat and
Arg8CPPs, several control polymers were prepared, including a polymer
of an uncharged, nonpeptide unit of oligoethylene glycol (OEG) and
another consisting of a peptide side chain that did not contain any
charged residues (GSGSG). For comparison, a polymer composed of monomers
bearing a single guanidinium moiety[67] was
prepared as a graft-through analogue of polymers prepared via the
graft-to technique employed in other studies.[68,69] We note that these graft-to guanidinium-containing polymers are
the only other cell penetrating polymers prepared by ROMP techniques
that have been reported to date. The graft-to guanidinium polymer
prepared in this work displayed poor solubility as a homopolymer and
was therefore prepared as a block copolymer with a water-solubilizing
OEG monomer (Figure 1B, where R1 = OEG and R2 = guanidinium). After polymerization, the
polymers were characterized by size-exclusion chromatography with
multiangle light scattering (SEC-MALS) to ascertain degree of polymerization
(DP) and molecular weight distribution (dispersity or Mw/Mn) (Table 1 and chromatograms in Figure S4). Good agreement between the obtained DP and the theoretical DP
based on the initial monomer-to-initiator ratio ([M]0/[I]0) was observed. Further, all dispersities were less than 1.11,
indicating the expected narrow molecular weight distributions.Block m and n refer to the first and second block to be
polymerized
as shown in Figure 1. Each polymer is named
according to the identity of the monomer polymerized as drawn in Figure 1. Block copolymers are listed with block m first and block n second.Number-average molecular weight
from light scattering.The
dispersity of each block.Experimentally determined degree
of polymerization for block m and block n as denoted in Figure 1B, with theoretical
values based on the amount of material used, in parentheses.Amphiphilic polymers were formulated
into nanoparticles, denoted in the text as the GSGSG Particle and
Tat Particle. All data were obtained by SEC-MALS, except for those
describing the Tatpolymer, which did not elute on the SEC column
and was instead characterized in a cuvette using batch-mode static
light scattering. Without the SEC component, no information on the
molecular weight distribution of this polymer was obtained. However,
the amphiphilic polymer that contains Tat (Phenyl-b-Tat) eluted well on SEC and yielded close to the predicted DP in
low dispersity. Repeated polymerizations of peptide-containing homopolymers
yield consistent numerical values. The SEC-MALS chromatograms for
each polymer are provided in Figure S4.The Tatpeptide-containing
homopolymer, lacking side-chain protecting
groups, performed poorly on SEC-MALS, presumably due to unfavorable
interactions of the peptide with the size exclusion column. Therefore,
no information on the molecular weight distribution of these polymers
was obtained, but a molecular weight determination was achieved by
measuring the bulk light scattering of the solution in a cuvette (without
the size exclusion column); and complete consumption of the Tat monomer
after polymerization was verified by 1H NMR (Figure S5).Given the complexity of the
Tat and Arg8peptide-containing polymers
(i.e., multiple charged and nucleophilic side chains), we investigated
whether ROMP of these materials proceeds in a living fashion, in order
to ensure that well-defined and well-ordered structures, devoid of
cross-metathesis or premature termination, could regularly be accessed
by this strategy. Confirming the living nature of the polymerization,
a plot of Mn (obtained by SEC-MALS) vs
[M]0/[I]0 for the Arg8 monomer yields a linear
fit for [M]0/[I]0 less than 9 (Figure 2A and Table 2). At larger
[M]0/[I]0 ratios, propagation ceased, presumably
due to steric hindrance encountered from assembling multiple copies
of the long, side-chain protected peptide sequence, whose molecular
weight as a monomer is 3.5 kDa. A similar plot was obtained from data
gathered for polymerization of the Tatpolymer, collected by static
light scattering (SLS) in a cuvette (Figure 2B and Table 2). Therefore, we conclude that
both CPP monomers are polymerized in a living fashion to a DP of <9,
despite the complexity and functionality of their side chains, making
this an exceptionally convenient strategy for predictably generating
polymeric architectures from peptide monomers.
Figure 2
Plots correlating the number-average molecular weight (Mn) with the initial monomer–to-catalyst
ratio ([M0/I0] for the polymerization of the
Arg8 monomer (A) and the Tat monomer (B). Linear fits are indicative
of a living polymerization. For both monomers, propagation ceased
after the polymerization of ∼9 monomers.
Table 2
Characterization of the Polymerization
of the Tat and Arg8 Monomers at Multiple Initial Monomer-to-Catalyst
Ratiosa
Arg8 polymerization
[M]0:[I]0b
Mnc
DPd
Mw/Mne
5
11 000
3
1.05
10
20 000
6
1.05
15
30 000
9
1.03
20
27 000
8
1.05
40
31 000
9
1.07
60
23 000
6
1.08
The polymers listed are all homopolymers
as shown in Figure 1a.
The initial monomer-to-catalyst
ratio used.
The number-average
molecular weight
obtained.
The degree of
polymerization obtained.
The dispersity of polymers. All
data for the Arg8 monomer polymerization were collected by SEC-MALS.
Data for the Tat monomer polymerization were obtained in a cuvette
via static light scattering. The data reported represent values from
a single batch of polymerizations performed on the same day.
In addition to
exploring the activity of a single polymer chain,
we also aimed to examine the proteolytic resistance and bioactivity
of large assemblies of peptide-containing polymers. We envisioned
that nanoscale assemblies of multiple peptide–polymers would
be large enough to avoid renal clearance thresholds in future applications
that might otherwise prevent long circulation times of peptides or
lower molecular weight polymers, but it was unclear whether these
large assemblies would resist proteolysis, or enter cells. To generate
nanoparticles, we prepared amphiphilic polymers of two peptides: Tat
and a GSGSG control peptide (Figure 1B. Note:
Arg8-based nanoparticles could not be generated with consistently
spherical morphologies matching GSGSG controls or Tat systems and
hence were excluded from this study). The design of these amphiphiles
is such that the phenyl-modified norbornene monomers operate as hydrophobic
moieties to drive self-assembly of the amphiphiles into micellar nanoparticles
containing many copies of polymer. To prepare these amphiphiles, a
hydrophobic monomer was polymerized to completion prior to addition
of the peptide monomer to the living polymer (Figure 1B, where R1 is phenyl and R2 is GSGSG
or Tat). Self-assembly of these amphiphilic polymers into a nanoscale
structure was then accomplished by slow dialysis of the material from
an organic cosolvent, in which the amphiphile is completely dissolved
(DMF), into a selective solvent, in which only the peptide brush is
soluble (aqueous phosphate-buffered saline, PBS). The amphiphilic
polymers of Tat and GSGSG were found, by DLS and TEM, to form spherical
micelles of ∼10−50 nm diameter (Figure 3).
Figure 3
Characterization of Tat and GSGSG particles.
TEM images and DLS
data for the Tat particle (A,C) and the GSGSG particle (B,D). Scale
bars are 200 nm.
Plots correlating the number-average molecular weight (Mn) with the initial monomer–to-catalyst
ratio ([M0/I0] for the polymerization of the
Arg8 monomer (A) and the Tat monomer (B). Linear fits are indicative
of a living polymerization. For both monomers, propagation ceased
after the polymerization of ∼9 monomers.The polymers listed are all homopolymers
as shown in Figure 1a.The initial monomer-to-catalyst
ratio used.The number-average
molecular weight
obtained.The degree of
polymerization obtained.The dispersity of polymers. All
data for the Arg8 monomer polymerization were collected by SEC-MALS.
Data for the Tat monomer polymerization were obtained in a cuvette
via static light scattering. The data reported represent values from
a single batch of polymerizations performed on the same day.Characterization of Tat and GSGSG particles.
TEM images and DLS
data for the Tat particle (A,C) and the GSGSG particle (B,D). Scale
bars are 200 nm.
Assessing Cellular Uptake
in HeLa Cells by Flow Cytometry and
Live-Cell Confocal Microscopy
Fluorescence-based in vitro
assays were performed in HeLa cells to compare the cellular uptake
of the peptide controls, polymers, and nanoparticles. The goal was
to determine whether polymerization of the CPPs had an impact on their
ability to facilitate cellular entry or on their mechanisms of cellular
uptake. In these studies, flow cytometry was used to quantify the
amount of cellular uptake, and live-cell confocal microscopy was used
to verify internalization and examine the localization of the internalized
material.In flow cytometry experiments, relative to the vehicle
control (PBS), all CPP-containing peptidepolymers and particles gave
robust fluorescent counts, approximately 2-fold higher than those
of the peptides alone (Figure 4 and individual
histograms in Figures S6–S8). These
data verify that CPPs maintain or have enhanced function when incorporated
into brush polymers or larger polymeric assemblies. We also note that
the Tat and Arg8polymers gave responses similar to those of the guanidiniumpolymer, which is an analogue of the only other cell-penetrating ROMP
polymer reported to date.
Figure 4
Quantitative comparison of cellular uptake of
peptides, polymers
and particles at 2.5 μM after 30 min incubation with HeLa cells
by flow cytometry. On the y-axis, normalized mean
fluorescence refers to the mean fluorescence counts detected for the
material divided by the mean fluorescence counts exhibited by the
vehicle control (PBS). Representative histograms showing the fluorescence
counts for each material are given in Figures
S6–S8.
Quantitative comparison of cellular uptake of
peptides, polymers
and particles at 2.5 μM after 30 min incubation with HeLa cells
by flow cytometry. On the y-axis, normalized mean
fluorescence refers to the mean fluorescence counts detected for the
material divided by the mean fluorescence counts exhibited by the
vehicle control (PBS). Representative histograms showing the fluorescence
counts for each material are given in Figures
S6–S8.To probe whether the cellular uptake of the polymerized materials
was due to the peptide amino acid sequence and not the polymer backbone
itself, or the result of the arrangement of any peptide into a brush
polymer, we investigated the uptake of polymeric materials containing
an OEG brush and a GSGSG brush, both of which do not enter cells as
their monomer units. The control materials showed negligible fluorescence
signals (less than a 2-fold increase in fluorescence relative to vehicle),
similar to the small molecule fluorescein tag itself. Therefore, these
data indicate that the amino acid sequences of Tat and Arg8 drive
the internalization of the polymers.Live-cell confocal images of peptides,
polymers and nanoparticles
labeled with fluorescein. Images are the average maximum intensity
from six consecutive 1 μm slices. Scale bars are 50 μm.
For the Tat variants, the six individual Z-slices that were used for
the averaged images shown in this figure are provided in Figures S9–S11.It was also important to confirm that the fluorescence observed
in the initial studies resided within the cytoplasm, rather than on
the cell’s external surface. To this end, we chose to perform
live-cell confocal microscopy, because fixation of cells by formaldehyde,
methanol or other agents, can cause artifacts due to the release of
fluorescently labeled materials entrapped in endosomes.[70,71] In particular, we performed Z-stack analyses at 1 μm step
sizes on live cells treated with each peptide-based material. Across
multiple Z-slices for cells treated with all Tat-, Arg8- and guanidinium-
containing materials, at the same concentration used in flow cytometry
experiments, a combination of punctate and diffuse fluorescence was
observed (Figure 5, for individual Z-slices,
see Figures S9–S11), indicative
of compartmentalized and cytosolic localization, respectively. By
contrast, no fluorescence was seen for any of the negative controls
(GSGSG and OEGpolymers), which do not contain cationic moieties and
do not penetrate cells in any detectable manner.
Figure 5
Live-cell confocal images of peptides,
polymers and nanoparticles
labeled with fluorescein. Images are the average maximum intensity
from six consecutive 1 μm slices. Scale bars are 50 μm.
For the Tat variants, the six individual Z-slices that were used for
the averaged images shown in this figure are provided in Figures S9–S11.
We also verified
that polymerization did not render the peptides
toxic to cells. The viability of cells treated with the Tat and GSGSGpeptide, polymer and nanoparticles was assayed via the CellTiter-Blue
assay. When compared to the vehicle control, HeLa cells treated with
all formulations of the materials at 5 μM, twice the concentration
used in the uptake studies described above, remained >92% viable
for
48 h (Figure S12).
Exploring the Mechanism
of Cellular Uptake
There is
much debate in the literature over the mechanism of entry of CPPs.
However, it is generally agreed that the cellular uptake of these
materials requires association with anionic species at the cell membrane
(i.e., sulfated proteoglycans or phospholipid polar headgroups) followed
by internalization via endocytosis or membrane disruption.[72,73] To investigate whether the monomeric, polymeric, and nanoparticle
formulations of the CPPs follow similar internalization routes, we
subjected cells to thermal inhibition and common pharmacological compounds
that disrupt different aspects of membrane trafficking and endocytosis.First, membrane trafficking was arrested[74,75] by reducing the incubation temperature to 4 °C. This resulted
in a dramatic decrease in the fluorescent signals for the Tat, Arg8,
and guanidinium polymers and nanoparticles by flow cytometry, but
had no influence on the values from the GSGSG controls (Figure 6A). Similar effects were seen with an inhibitor
of dynamin-dependent endocytosis (dynasore)[76] and also with methyl-β-cyclodextrin (MβCD),[77−79] an agent known to remove membrane cholesterol, and thereby alters
the fluidity of the membrane. Each condition resulted in no change
in the fluorescence values obtained for the GSGSG controls, which
is consistent with the notion that these uncharged materials do not
internalize. The polymers containing guanidinium, Tat and Arg8 side
chains all showed uptake, as is expected for these modes of inhibition.
Note that, in all cases, pharmacological and thermal inhibition exhibit
only a small effect on the flow cytometry readings of the Tat and
Arg8peptides. This behavior for CPP-type peptides has been observed
by others. Specifically, Dowdy and co-workers have suggested that
the apparent temperature-independence of peptide uptake is due to
false-positive readings resulting from membrane-bound, noninternalized
peptides.[80] To circumvent this problem,
the cells could be washed with heparin, a polyanionic saccharide,
which competes with the cell membrane for binding of the polycationic
CPPs. In the Dowdy work, heparin washes significantly reduced the
aberrant signals seen in flow cytometry recordings during incubation
at 4 °C, but did not completely abolish them, as observed in
our studies (Figure 6A, Tat and Arg8peptide
data). Together, these results suggest that cell penetration of the
peptides (individual CPPs) is due, in part, to membrane disruption
or endocytotic processes and that these mechanisms of entry are maintained
or enhanced upon polymerization.
Figure 6
Experiments probing the
mechanism of cellular entry. (A) Pharmacological
and thermal probes of cellular uptake mechanisms. HeLa cells were
pretreated with MβCD (9.5 mM) or dynasore (80 μM) for
30 min prior to incubation with the material of interest or preincubated
at 4 °C. (B) Concentration dependence of the cellular uptake
of key materials. All reported flow cytometry data are described as
a fold-shift relative to the vehicle control. All experiments described
here were performed in DMEM with 10% FBS. Heparin washes were performed
as described in the Experimental Section.
To verify that the wide range
of components found in fetal bovine
serum (FBS) do not play a role in facilitating or inhibiting cellular
entry of the materials, experiments were also performed in FBS-free
media. No significant difference in mean fluorescence from any material
was observed by flow cytometry in the presence or absence of FBS,
suggesting that FBS components, such as growth factors, lipids, hormones,
etc., do not influence uptake of these materials (Figure S13).In order to examine how the concentration
of the Tatpeptide-containing
materials impacted their cellular uptake, we performed flow cytometry
experiments at several concentrations of material. It is important
to note that concentration in these experiments was with respect to
the fluorophore, where there is one fluorophore per peptide or polymer,
but many copies of fluorophore per particle. (For concentration determination,
see Figure S14.) In general, the peptide
is less competent in cell penetration than the polymer or particle
formulations, with cellular uptake of the peptide nearly abolished
at 1.25 μM. This is in contrast to the polymer and nanoparticles
that were still taken up by cells at concentrations as low as 0.5
μM (Figure 6B).Experiments probing the
mechanism of cellular entry. (A) Pharmacological
and thermal probes of cellular uptake mechanisms. HeLa cells were
pretreated with MβCD (9.5 mM) or dynasore (80 μM) for
30 min prior to incubation with the material of interest or preincubated
at 4 °C. (B) Concentration dependence of the cellular uptake
of key materials. All reported flow cytometry data are described as
a fold-shift relative to the vehicle control. All experiments described
here were performed in DMEM with 10% FBS. Heparin washes were performed
as described in the Experimental Section.Studies on linear peptides have
shown that 8–16 guanidiniums
are optimal for cell penetration, with activity dramatically decreasing
when over 16 guanidiniums are used.[40,41,81] Likewise, polynorbornyl polymers bearing guanidinium
moieties showed decreased internalization when 25 guanidiniums were
incorporated, compared to when 10 were employed.[68] Therefore, it is somewhat surprising that we see such efficient
penetration for the Tat side chain 5-mer homopolymer and nanoparticle,
which contains at least 30 guanindinium units (Figure 6B). In fact, the polymer penetrates cells as efficiently (within
a factor of 2 fluorescence counts) as the relevant peptide analogue,
even in scenarios in which 5-fold fewer fluorophores are present to
achieve the same effective concentration of peptide (such as 2.5 μM
Tatpolymer and 12.5 μM Tatpeptide). These data suggest that
the arrangement of the brush polymer may aid in the cellular uptake
mechanism, which could require assembly of multiple CPPs for proper
transport across the membrane. Indeed, oligomerization of CPPs into “carpet”
bundles and direct transportation of these bundles across the membrane
has been proposed for many years as the so-called “carpet mechanism”.[72,73] Alternatively, efficient cellular entry could be due to tangled
pendant peptide chains presenting a lower effective number of charged
residues to the cell membrane.
Proteolysis Studies of
Cell Penetrating Peptides, Polymers and
Nanoparticles
We next assessed whether these cell-penetrating
materials were resistant to proteolysis, as hypothesized. We focused
on the proteolytic cleavage of materials containing the Tatpeptide,
given that it has a more diverse amino acid sequence than the Arg8peptide and would therefore have more unique cleavage sites.Tat-containing materials, at the same concentration used in flow
cytometery and confocal microscopy studies described above (2.5 μM),
were challenged for 20 min with various proteases at high enzyme concentration
(∼1 μM) prior to determining the extent of proteolytic
cleavage and residual bioactivity. Such activity was assayed by three
separate methods: reverse-phase high-performance liquid chromatography
(RP-HPLC), flow cytometry, and confocal microscopy. In these assays,
RP-HPLC was used to determine the degree to which proteolytic treatment
degrades the integrity of the peptide as a monomer or as part of a
polymeric formulation. The bioactivity of enzymatically digested materials
was then assessed in cellular assays by both flow cytometry and confocal
microscopy. To determine whether the location of the peptide cleavage
site(s) affects the sensitivity of the peptide to enzymatic cleavage,
several different proteases were tested: trypsin (7 predicted cleavage
sites), chymotrypsin (2 predicted cleavage sites), and the protease
cocktail Pronase, which has the potential to digest the peptide backbone
at every amino acid position.We employed RP-HPLC to assess
the percent of intact material following
enzymatic digestion (Figure 7A). Standard curves
were generated that compared peak areas of the uncleaved Tatpeptide,
polymer, or nanoparticle at an appropriate concentration range, such
that the concentration of material remaining after incubation with
enzyme could be estimated (Figure S15).
Note, this is only an estimate of polymer or particle concentration,
as the absorbance measurements of the intact polymer will be affected
by the norbornyl polymer backbone, the phenyl coblock, and the fluorescein
end-label, which will still be present after proteolytic digestion.
In these assays, no differences in the peak area or retention time
of the polymer or particle were observed after treatment with any
of the proteases tested and the RP-HPLC chromatograms are identical
with and without enzyme treatment (i.e. no new peaks
formed in the chromatogram) (Figure S16), suggesting that the Tatpolymers and particles are resistant to
proteolysis. By contrast, complete consumption of the Tatpeptide
was detected, along with the appearance of new peaks in the RP-HPLC
chromatograms. Correspondingly, the mean fluorescence counts of the
polymer or particle measured by flow cytometry are largely unaffected
by protease treatment (presumably since the peptide chains have not
been digested). However, proteolytic digestion of the Tatpeptide
diminished the intensity of the fluorescence signal to less than 10%
of the value obtained prior to enzymatic digestion (Figure 7B). The same trends were observed by both RP-HPLC
and flow cytometry when the peptide concentration was kept uniform
(12.5 μM peptide, 2.5 μM polymer) to normalize the number
of potential cleavage events. This is an especially notable difference
given that the peptides had 5 times the number of fluorescein (1 per
peptide) equivalents per peptide than the polymer (1 per 5 peptides).
Furthermore, a time-course plot of RP-HPLC and flow cytometry data
reveal that the Tatpolymer is stable to chymotrypsin treatment over
14 h and the material retains the ability to enter cells after incubation
with the enzyme (Figure S17).
Figure 7
Assessment
of the effects of protease treatment on the integrity
and bioactivity of the Tat peptide, polymer, and particle by three
methods. (A) RP-HPLC data showing the quantity of remaining material
postenzymatic treatment. Standard curves comparing peak area to the
concentration of the intact peptide, polymer, or particle were prepared
to determine percent cleavage (Figure S15). (B) Flow cytometry data of the materials after proteolytic digestion.
Data is reported as the percentage of fluorescence seen after enzyme
treatment relative to the value seen without treatment. (C) Confocal
microscopy images comparing cells incubated with materials that have
been pretreated with chymotrypsin alongside cells incubated with materials
that have not received this pretreatment. Images are the maximum average
intensity from six consecutive 1 μm slices. Scale bars are 50
μm. In all cases Tat-containing materials at the indicated concentrations
were treated with 1 μM of protease for 20 min at 37 °C.
Finally,
confocal microscopy was used to verify trends observed
by RP-HPLC and flow cytometry. In these experiments, the Tatpeptide,
Tatpolymer, and Tat nanoparticle were pretreated with chymotrypsin
(under identical conditions as used in the flow cytometry and RP-HPLC
assays) prior to incubation with HeLa cells. These cells were then
imaged by live-cell confocal microscopy alongside cells incubated
with the same materials that had not been subjected to the enzyme
pretreatment. A dramatic comparison emerges in which cells treated
with protease-digested Tatpeptides show minimal fluorescence relative
to those treated with undigested peptides (Figure 7C). In stark contrast, the Tatpolymer and particles give
identical fluorescence images with or without enzyme treatment.Assessment
of the effects of protease treatment on the integrity
and bioactivity of the Tatpeptide, polymer, and particle by three
methods. (A) RP-HPLC data showing the quantity of remaining material
postenzymatic treatment. Standard curves comparing peak area to the
concentration of the intact peptide, polymer, or particle were prepared
to determine percent cleavage (Figure S15). (B) Flow cytometry data of the materials after proteolytic digestion.
Data is reported as the percentage of fluorescence seen after enzyme
treatment relative to the value seen without treatment. (C) Confocal
microscopy images comparing cells incubated with materials that have
been pretreated with chymotrypsin alongside cells incubated with materials
that have not received this pretreatment. Images are the maximum average
intensity from six consecutive 1 μm slices. Scale bars are 50
μm. In all cases Tat-containing materials at the indicated concentrations
were treated with 1 μM of protease for 20 min at 37 °C.
Demonstrating the Generality
of the Approach with Two Additional
Protease Substrates
To test whether our strategy could be
extended to different proteases and to peptide sequences other than
the highly charged Tat and Arg8 sequences, we polymerized two additional
peptide substrates. Importantly, the two peptides each have a more
extensive sampling of amino acid side chains compared to the CPP sequences
and are optimized substrates for degradation by two different enzymes:
a serine protease and a metalloprotease.We first examined the
generality of our approach by preparing a peptide substrate for thrombin,
a coagulation factor protease. A monomer bearing the thrombin substrate
sequence (GALVPRGS) was readily prepared via SPPS with a short, water-solubilizing
peptide sequence (GERDG) at the C-terminus (Figure S18), and was polymerized by ROMP to several
degrees of polymerization (characterization data for polymers are
given in Figure S19 and Table S2). The
monomer peptide and homopolymers were treated with thrombin, and the
resulting product mixture was analyzed by RP-HPLC (Figure S20). These analyses indicate that the monomeric peptide
was readily degraded by thrombin, as evidenced by the disappearance
of the monomer peak and corresponding appearance of product peaks,
however, homopolymers at several degrees of polymerization were resistant
to cleavage relative to the monomer, albeit not completely shut off
from proteolysis, confirming the generality of the approach (Figure 8A,B).
Figure 8
Chemical structures and cleavage kinetics of
monomeric and polymeric
peptide substrates for thrombin and the matrix metalloprotease (MT1-MMP).
(A) Structures of a set of homopolymers containing a thrombin peptide
substrate. (B) Cleavage kinetics of thrombin-sensitive monomers and
homopolymers at DP = 10, 20, and 30. (C) Structure of the fluorogenic
substrate homopolymer. (D) Cleavage kinetics of the fluorogenic homopolymer
relative to monomer, by multiple proteases in addition to the protease
for which the substrate is optimized, MT1-MMP.
Chemical structures and cleavage kinetics of
monomeric and polymeric
peptide substrates for thrombin and the matrix metalloprotease (MT1-MMP).
(A) Structures of a set of homopolymers containing a thrombinpeptide
substrate. (B) Cleavage kinetics of thrombin-sensitive monomers and
homopolymers at DP = 10, 20, and 30. (C) Structure of the fluorogenic
substrate homopolymer. (D) Cleavage kinetics of the fluorogenic homopolymer
relative to monomer, by multiple proteases in addition to the protease
for which the substrate is optimized, MT1-MMP.We next examined an optimized peptide substrate sequence
for a
cancer-associated membrane-bound matrix metalloprotease (MMP).[82] Here, we omitted the N-terminal
Cys residue from the optimized peptide sequence, CRPAHLRDSG, because
free thiols (lacking protecting groups) are difficult to polymerize
by ROMP, due to coordination to the initiators.[83,84] Since this peptide was not expected to function in an orthogonal
bioactivity assay, as for the CPP studies above, we prepared the sequence
as a fluorogenic substrate, to readily and rapidly quantify cleavage
events at low concentrations of material to obtain detailed kinetic
information. For more information on the preparation of monomers,
polymers and additional assays and kinetics details, see the Supporting Information and also Figures S21–S29
and Tables S3–S4.In kinetic assays, the fluorogenic
monomer was readily cleaved
by an assortment of proteases (Figure 8C,D),
but not by MMP-9 for which it is not a substrate (Figure S28). In contrast, the homopolymer (DP = 20) exhibits
very little cleavage upon treatment with multiple proteases, as seen
in the 24-h time course plots (Figure 8B).
Initial enzymatic reaction rates (V0),
obtained by monitoring each reaction for the first 40 min (less than
25% cleavage seen for all materials), indicate that the monomer is
cleaved 17- to 95-fold faster than the homopolymer at comparable peptide
concentrations (Table 3). Michaelis–Menten
plots were obtained for the cleavage of the monomer by MT1-MMP, yielding
a specificity constant (kcat/Km) of 0.52 ± μM–1min–1 and a Km of 11 μM
(Figure 9A). A Michaelis–Menten plot
of the homopolymer time-course data reveals that saturation kinetics
have not been reached at ∼7 times the calculated Km of the monomer, as suggested by the near linear fit
to the data obtained (Figure 9B). Note that
the fluorescence observed in assays of the homopolymer approached
the lower limit of detection, resulting in large standard errors in
the data. Moreover, solubility limits of the homopolymer prevented
a full Michaelis–Menten plot from being generated. Nevertheless,
these data clearly indicate that the protease exhibits lower affinity
for and activity on the peptide substrate when it is incorporated
into a brush polymer.
Table 3
Initial Velocities
(V0) for the Proteolysis of Fluorogenic
Monomer and Homopolymer
by Assorted Proteasesa
protease
monomer V0 (μMmin–1)
homopolymer V0 (μMmin–1)
MT1-MMP
0.11 ± 0.01
0.0066 ± 0.002
Thermolysin
0.27 ± 0.03
0.0055 ± 0.001
Trypsin
0.18 ± 0.01
0.002 ± 0.001
Pronase
0.2 ± 0.01
0.0021 ± 0.001
MMP-9
0.005 ± 0.001
–
The terms monomer and homopolymer
correspond to the fluorogenic homopolymer and polymers. The fluorogenic
peptide is optimized so that it is not a substrate for MMP-9. No fluorescence
was detected during treatment of the homopolymer with MMP-9.
Figure 9
Michaelis–Menten plots. Proteolysis of
(A) the fluorogenic
monomer where kcat = 5.7 ± 0.4 min–1, Km = 11 ± 2 μM,
and kcat/Km = 0.52 ± μM–1min–1 and (B) the fluorogenic homopolymer by MT1-MMP, where the estimated Km is >70 μM.
The terms monomer and homopolymer
correspond to the fluorogenic homopolymer and polymers. The fluorogenic
peptide is optimized so that it is not a substrate for MMP-9. No fluorescence
was detected during treatment of the homopolymer with MMP-9.Michaelis–Menten plots. Proteolysis of
(A) the fluorogenic
monomer where kcat = 5.7 ± 0.4 min–1, Km = 11 ± 2 μM,
and kcat/Km = 0.52 ± μM–1min–1 and (B) the fluorogenic homopolymer by MT1-MMP, where the estimated Km is >70 μM.
Tuning the Proteolytic Susceptibility of Peptide-Containing
Brush Polymers
We were curious about the origin of proteolytic
resistance and also recognized that, in certain circumstances, it
might be disadvantageous to render a peptide entirely refractory to
proteolysis, for example, in the case of a peptide sensor for a protease,[57,85] or when designing a device that targets tissue or releases a drug
in response to proteolytic digestion.[86,87] Therefore,
we sought to tune the proteolytic susceptibility of the fluorogenic
substrate for MT1-MMP described in the previous section. We envisioned
that the proteolytic resistance of homopolymers might result from
packing or other stabilizing peptide–peptide interactions,
leading to steric protection against enzymatic cleavage. This picture
led to the hypothesis that proteolytic susceptibility would be restored
by spacing the peptides out along the polymer backbone. Spacing was
accomplished by preparation of random blend copolymers that incorporated
a monomer “spacer” or “diluent” at varying
blend ratios (Figure 10). The spacer we chose
was a water-soluble OEG monomer, which is inert to proteolytic enzymes.
Random blend copolymers (total DP = 20) were prepared at substrate
to OEG ratios of 1:19, 5:15, 10:10, and 15:5 (Figure 10A). A detailed description of the preparation and characterization
of these blend polymers is given in the Supporting
Information (Figure S30 and Table S5). A general trend emerged
in which proteolytic activity of MT1-MMP was greatest when more spacers
were incorporated. Indeed, the 1:19 blend polymer proved to be as
susceptible to proteolytic degradation as the substrate monomer (Figure 10B). These data suggest that the protection from
proteolysis observed in our systems does not result simply from the
attachment of the peptide to a high molecular weight polymer, but
rather from its arrangement into a high-density peptide brush.
Figure 10
Chemical
structure of the random blend copolymers and cleavage
kinetics of the monomer, homopolymer, and a series of random blend
copolymers of the fluorogenic peptide substrate with OEG diluent.
(A) Structure of a series of random blend copolymers of the fluorogenic
peptide substrate monomer and an OEG monomer. (B) Comparison of the
cleavage kinetics of the fluorogenic random blend copolymers, (ratio
is m:n as shown in A, overall DP
= 20) homopolymer (DP = 20) and monomer.
Chemical
structure of the random blend copolymers and cleavage
kinetics of the monomer, homopolymer, and a series of random blend
copolymers of the fluorogenic peptide substrate with OEG diluent.
(A) Structure of a series of random blend copolymers of the fluorogenic
peptide substrate monomer and an OEG monomer. (B) Comparison of the
cleavage kinetics of the fluorogenic random blend copolymers, (ratio
is m:n as shown in A, overall DP
= 20) homopolymer (DP = 20) and monomer.
Molecular Dynamics Simulations
To further examine the
proteolytic susceptibility trends observed with the random blend copolymers
of the fluorogenic substrate and OEG moiety, a series of molecular
dynamics simulations were performed, examining analogous blend copolymers
with discrete structures and no dispersity (i.e., a single molecular
entity was modeled for each structural analogue). For computational
simplicity, all polymers were constructed in silico to have a DP of
10, instead of 20, in four key arrangements meant to best simulate
idealized scenarios: a homopolymer of ten repeated fluorogenic substrates
(Figure 11A); two blend copolymers with an
OEG:peptide ratio of 9:1, one having the peptide at one end of the
polymer (Figure 11B), and the other having
the peptide at position five (Figure 11C);
and one with an intermediate peptide:OEG ratio of 5:5 (Figure 11D).
Figure 11
Representative
conformations and surface-accessibility data for
in silico models of the fluorogenic substrate/OEG copolymers. Chemical
structure and a representative conformation of the discrete, monodisperse,
simulated polymers: homopolymer (A); the 9:1 ratio blend copolymer
with the peptide at the end of the polymer (B); the 9:1 ratio blend
copolymer with the peptide in the middle (i.e., position 5) (C); and
the intermediate 5:5 ratio blend copolymer (D). (E) Plots of the probe-accessible
surface area of the four structures, averaged over the last 40 ns
of each heat–cool cycle. Blue bars represent the surface area
accessible per peptide to a spherical probe with a radius of 3.14
nm (size on the order of a typical protease) and the gray bars represent
the same measurement using a probe radius of 0.14 nm (approximately
the size of a water molecule).
Simulations were performed on each
structure, starting with the molecule in an artificial, extended conformation
with a straight norbornyl backbone, extended peptides, and OEG brushes
arrayed at right angles to the polymer backbone. In the simulations,
each structure was equilibrated for an initial 20 ns at 300 K, after
which each simulation was split and continued in two ways: one simulation
for each molecule was continued for 100 ns at 300 K and the other
was further randomized by a single heating (500 K) and cooling (300
K) cycle before continuing at 300 K for remainder of the 100 ns simulation.In every simulation, the initial extended structure of each molecule
collapsed quickly into a more compact conformational ensemble. Representative
conformations of each construct were obtained by applying a root-mean-square
deviation (RMSD)-based clustering algorithm to the last 40 ns of the
respective heat–cool simulations. In these structures, the
homopolymer and 5:5 copolymer have collapsed into an elongated globule,
with their peptide chains tangled around the polymer backbone. In
contrast, the single peptide chain in the 9:1 copolymers, are visible
as relatively isolated components at the surface of the constructs.
A detailed discussion of differences in radius of gyration of each
structure and also on conformational fluctuations in the structures
as quantified by RMSDs is given in the Supporting
Information and Figures S31–S33 and Table S6.We examined the role of hydrogen bonding in facilitating the compression
or tangling of the peptide-containing structures by computing the
numbers of intrasolute hydrogen-bonds during the last 40 ns of each
heat–cool trajectory (Table S6).
The homopolymer averaged 0.5 amino acid-amino acid peptide bonds per
residue (88 interactions over 17 residues per monomer), which is about
half the ratio typically seen for a folded protein.[88] The three copolymers averaged somewhat fewer (0.4) hydrogen
bonds per residue, with very few hydrogen bonds to the OEG moieties
(less than four in all cases). Overall, these hydrogen bond counts
are consistent with a view that, although the polymers have collapsed,
they are not as well structured as typical globular proteins and the
inclusion of OEG units leads to a decrease in hydrogen bonding. Thus,
the addition of OEG units effectively “dilutes” the
density of the peptide-brush by reducing the overall degree of hydrogen
bonding in the polymer structure. Moreover, the OEG moieties block
what would otherwise be stabilizing interactions among the peptides
brushes without compensating with new OEG-peptide interactions.Representative
conformations and surface-accessibility data for
in silico models of the fluorogenic substrate/OEG copolymers. Chemical
structure and a representative conformation of the discrete, monodisperse,
simulated polymers: homopolymer (A); the 9:1 ratio blend copolymer
with the peptide at the end of the polymer (B); the 9:1 ratio blend
copolymer with the peptide in the middle (i.e., position 5) (C); and
the intermediate 5:5 ratio blend copolymer (D). (E) Plots of the probe-accessible
surface area of the four structures, averaged over the last 40 ns
of each heat–cool cycle. Blue bars represent the surface area
accessible per peptide to a spherical probe with a radius of 3.14
nm (size on the order of a typical protease) and the gray bars represent
the same measurement using a probe radius of 0.14 nm (approximately
the size of a water molecule).Finally, the accessibility of the peptide components of the
various
constructs to large and small molecules was examined by computing
their time-averaged probe-accessible surface area (SA), using a large
(3.14 nm) probe sphere whose size is similar to that of a protein,
and a small (0.14 nm) water-sized probe sphere (Figure 11E). A general trend was seen with the large probe, where larger
surface accessibility was seen as the peptide content decreased. The
greatest accessibility is observed for the 9:1 copolymer with the
peptide at position 5. This is the closest representation to the experimental
19:1 random blend copolymer (based on the polymerization method, Figure S30 and Table S5), which is nearly as
susceptible to proteolytic degradation as the peptide monomer in vitro.
In contrast, the probe-accessible surface areas obtained with the
water-sized probe are relatively uniform across all constructs. These
results suggest that the peptides in all five constructs maintain
similar accessibility to small molecules, like water, but that the
tighter packing of the more peptide-rich constructs reduces accessibility
to protein-size molecules, such as the proteases examined experimentally.
Moreover, these data suggest that peptides whose function depends
on interaction with a small molecule or a receptor with a relatively
accessible binding site will exhibit ample binding to the peptide
substrates in any of the constructs considered, including the homopolymer.
The implication of this finding is that the bioactivity of many peptides
will be maintained after polymerization of the sequence into a high-density
brush. For peptides whose function depends on interaction with proteins
or macromolecules with tight or cramped binding pockets (such as a
protease), polymerization into a high-density brush polymer may impede
function, as is consistent with the data presented in this work.In sum, the simulation results suggest that all of the constructs
studied here tend to collapse into fairly compact globular conformations,
and that a higher peptide content leads to formation of more stabilizing
intramolecular hydrogen bonds and reduced accessibility of the peptides
to proteins in solution. This picture is qualitatively consistent
with the experimental observation that constructs with high peptide
content are better protected from enzymatic degradation. Although
the simulations are subject to error due to their limited duration
and uncertainties in the force field, they yield a usefully detailed
representation of the systems under study and offer a plausible explanation
for the key experimental results.Electrostatic repulsion is
another potential contributor to the
proteolytic protection observed in these systems. Wooley and co-workers
recently reported that charge-matched nanoparticles and proteases
show a decrease in proteolytic activity, presumably due to repulsion
at large charge densities.[89] Given the
range of proteases used in the present study, including protease cocktails,
it is difficult to correlate the proteolytic susceptibility of the
polymers with the pairing of the overall polymer charge with the isoelectric
point of each enzyme. However, tuning charge−charge repulsion
along with steric interactions could provide an additional route for
optimization of related systems in future work.
Conclusions
Herein we present a new, easily deployed methodology for formulating
peptides into well-defined brush polymers, which preserve bioactivity
but protect the peptides from proteolysis. Our strategy involves the
direct (graft-through) polymerization of peptide-containing norbornene
monomers via ROMP. This obviates the need for the extra purification
steps required for more traditional synthetic routes to peptide-containing
polymers, which involve chemical conjugation of the peptide to a preformed
polymer, as would be required in a graft-to synthesis scheme. The
wide range of peptide substrates and proteases for which the present
strategy succeeds suggests that it could be applicable to many peptide
based therapeutic agents or biosensors that must retain function despite
exposure to harsh proteolytic milieu. This approach offers an attractive
alternative to existing methods of protecting peptides from proteolysis
because it is simple, does not alter the amino acid sequence of the
peptide, and enables easy functionalization with other useful moieties
or cargo.It is possible that polymerization of a peptide into
a high-density
brush could not only render the peptide resistant to proteolysis,
but also affect its function. The computational data suggests that
peptides whose functions rely upon interaction with a large molecule
or with a tight or cramped active site of an enzyme would encounter
significant steric hindrance that could inhibit function. However,
peptides that bind small molecules or accessible receptors on a cell
should retain bioactivity. Certainly, the accessibility of polymeric
peptide brushes in terms of receptor binding is supported by studies
of polynorbornyl polymers containing RGD targeting peptides, which
bind integrin receptors more efficiently than their peptide analogues.[58] As such, while we have provided a strategy for
adjusting the density of the polymer brush, one could imagine applications
or environments in which even more flexibility or design control is
needed. In these scenarios, the robust capabilities of this ROMP strategy
are ideal. For example, the incorporation of a longer linker between
the norbornyl polymer backbone and the peptide could provide a means
for separating the peptide from the backbone, thereby making the peptides
more flexible and sterically accessible. This could include linkers
that are cleavable under appropriate biological conditions or by exogenous
sources. Indeed, appropriate pH-[52] or UV-sensitive
linkers[90] have been described for ROMP
polymers.In addition to proteolysis, there are two other problems
that often
limit the bioavailability and clinical efficacy of peptide-based therapeutics:
rapid renal clearance and inefficiencies in cellular uptake. Regarding
the first, it should be noted that the exclusion limit for glomerular
filtration includes molecules or assemblies whose molecular weight
exceeds 50 kDa.[3] It is thus relevant that
the size of peptide constructs generated by ROMP can be controlled
by preparation of amphiphilic polymers that self-assemble into various
structures and sizes, based on their hydrophilic-to-hydrophobic ratios,
as exemplified by the ∼10–50 nm spherical micelles generated
here with the Tatpeptide. Such particles are not expected to be subject
to rapid renal elimination, and work in our laboratory is exploring
the requirements for in vivo retention of ROMP-derived materials in
general. Regarding the second problem, we have shown here that the
ROMP copolymer strategy affords a robust ability to synthesize polymers
and polymer assemblies that cross cell membranes efficiently, and
we anticipate that these could transport a variety of cargo into cells.
For example, therapeutic peptides could be easily incorporated, as
multiple copies in a block copolymer; or as a single copy in a polymer,
configured as an end-label. Indeed, dual labeled polymers with a polymerized
CPP and a releasable therapeutic moiety could provide a unique approach
to addressing transmembrane delivery of materials into cells.In summary, we have presented a new method for packaging peptides,
which renders them resistant to proteolysis in a tunable fashion but
does not alter their amino acid sequence, and therefore preserves
their biological activities. We envision that this strategy can be
employed broadly to render therapeutic peptides or peptide-based sensors
resistant to proteolysis, thus enhancing their bioavailability and
clinical efficacy.
Experimental Section
Materials
Amino acids used in SPPS were purchased from
Aapptec and NovaBiochem. All other materials were obtained from Sigma-Aldrich
and used without further purification unless otherwise noted. Initiator 1 ((H2IMES)(pyr)2-(Cl)2Ru=CHPh) was prepared as described previously.[49] Analytical scale RP-HPLC was performed with
a Jupiter Proteo90A Phenomenex column (150 × 4.60 mm) using a
Hitachi-Elite LaChrom L2130 pump with a UV–vis detector (Hitachi-Elite
LaChrome L-2420) monitoring at 214 nm. Peptides were purified with
a Jupiter Proteo90A Phenomenex column (2050 × 25.0 mm) on a Waters
DeltaPrep 300 System. For all RP-HPLC assays, gradient solvent systems
were used in which Buffer A was 0.1% TFA in water and Buffer B was
0.1% TFA in acetonitrile. Polymer dispersities and molecular weights
were determine by size-exclusion chromatography (Phenomenex Phenogel
5 u 10, 1–75 K, 300 × 7.80 mm in series with a Phenomenex
Phenogel 5 u 10, 10–1000 K, 300 × 7.80 mm with 0.05 M
LiBr in DMF as the running buffer at a flow rate of 0.75 mL/min) using
a Shimadzu pump equipped with a multiangle light scattering detector
(DAWN-HELIO, Wyatt Technology) and a refractive index detector (HITACHI
L2490 or a Wyatt Optilab T-rEX detector) normalized to a 30 K MW polystyrene
standard. For SEC-MALS chromatograms in which a multimodal distribution
is observed by light scattering but not in the RI chromatogram, we
analyzed only the peak width that has an associated RI component.
DLS measurements were performed on a DynaPro NanoStar (Wyatt Tech).
TEM images were obtained by depositing samples on carbon-formavar-coated
copper grids (Ted Paella, Inc.), which were then stained with 1% w/w
uranyl acetate and then imaged on a Techanai G2 Sphera operating at
an accelerating voltage of 200 kV. All concentrations of fluorescent
materials were obtained by measuring UV absorbance of the fluorophore
on a ThermoScientific Nanodrop 2000c and the data was fit to the standard
curves described in Supporting Information. Fluorescent data was recorded on a fluorescence plate reader, PerkinElmer
HTS 7000 Plus Bio Assay Reader (excitation: 340 nm; emission: 465
nm), or on a Photon Technology International fluorescence reader. 1H (400 MHz) and 13C (100 MHz) NMR spectra were
recorded on a Varian Mercury Plus spectrometer. Chemical shifts are
reported in ppm relative to the DMF-d7 or CDCl3 residual peaks.
Guanidinium Monomer Synthesis
A 10 mL round-bottom
flask equipped with a stir bar was charged with an amine-terminated
norbornene (2-(2-aminoethyl)-3a,4,7,7a-tetrahydro-1H-4,7-methanoisoindole-1,3-(2H)-dione) (70 mg, 0.24
mmol, 1 equiv), which was prepared as described previously[50] and dissolved in 4.5 mL of dry DMF under N2 (g). To this was added N,N-bis(boc)-1-guanylpyrazole (105 mg, 0.34 mmol, 1 equiv)
and diisopropylethylamine (120 μL, 0.68 mmol, 2 equiv). The
reaction mixture was stirred at room temperature for 12 h. The solution
was concentrated to dryness and resuspended in 25 mL of CH2Cl2, then washed with water (×3) and then brine.
The CH2Cl2 layer was collected, dried over Na2SO4 (s) and concentrated to dryness. The material
was then purified by flash column chromatography on silica gel (33%
EtOAC in hexanes) to yield a white powder in 92% yield (140 mg, 0.31
mmol) R 0.37 (33% EtOAc
in hexanes): 1H NMR (400 MHz, CDCl3, 298 K)
δ 11.43 ppm (1H, b), 8.45 (1H, b), 6.27 (2H, t, J = 1.5 Hz), 3.71 (2H, dd, J = 7.0, 4.4), 3.64 (2H,
m), 3.25 (2H, d, J = 1.5 Hz), 2.7 (2H, m), 1.51 (1H, d, J = 1.1 Hz), 1.48 (9H, s), 1.47 (9H, s), 1.25 (1H, d, J = 1.8 Hz); 13C NMR (100 MHz, CDCl3, 298 K)
δ 178.1, 157.0, 156.6, 153.0, 137.9, 137.7, 83.3, 79.5, 48.0,
45.0, 43.1, 40.0, 38.0, 28.3, 28.1; High-resolution MS analysis (ESI-TOFMS) m/z calculated 449.2395, found 449.2394.
Peptide Synthesis
Peptides were synthesized using standard
Solid Phase Peptide Synthesis (SPPS) procedures on an AAPPTec Focus
XC automated synthesizer. The Arg8peptide was synthesized with the
Pbf protecting group left on the side chains by the use of highly
acid-sensitive Sieber Amide resin. All other peptides were prepared
protecting group-free on Rink Amide MBHA resin. A typical SPPS procedure
involved FMOC deprotection with 20% methylpiperidine in DMF (one 5
min deprotection followed by one 15 min deprotection), and 45 min
amide couplings using 3.75 equiv of the FMOC-protected, and side chain-protected
amino acid, 4 equiv of HBTU and 8 equiv of DIPEA. Peptide couplings
that were incomplete by Kaiser test were drained and then subjected
to fresh reagents. Monomers were prepared by amide coupling to N-(hexanoic acid)-cis-5-norbornene-exo-dicarboximide (prepared via a published protocol[59]) or to N-(glycine)-cis-5-norbornene-exo-dicarboximide[56] for the fluorogenic substrates at the N-terminus of the peptide. Fluorescein-labeled peptides
were assembled by addition of Boc-Lys(FMOC)-OH to the N-terminus of the peptide, followed by removal of the FMOC protecting
group and amide coupling to 5/6-carboxy fluorescein. Following completion
of the synthesis, peptides were cleaved from the resin. The side-chain
protected Arg8peptide was cleaved from the Sieber amide resin by
five 2 min rinses with 2% TFA in DCM. All other peptides were cleaved
and deprotected by treatment with TFA/H2O/TIPS in a 9.5:2.5:2.5
ratio for 2 h. The peptides were then precipitated in cold ether and
purified by RP-HPLC. The identity of each peptide was confirmed by
ESI-MS or MALDI-MS and purities were verified by observation of a
single peak in analytical RP-HPLC chromatograms (Figures S2, S20A, and S22 and Tables S1 and S3).
Polymerizations
Polymerizations were carried out in
a glovebox under N2 (g). A typical protocol used to generate
a polymer with DP = 10 involved mixing the monomer (0.0125 mmol, 10
equiv, 25 mM) with the catalyst (0.00125 mmol, 1 equiv, 2.5 mM) in
dry DMF (0.5 mL). Homopolymerizations that have not been reported
previously in the literature were preformed in DMF-d7 and followed by 1H NMR to confirm complete
consumption of the monomer and to determine the time period required
to reach completion. Polymers for cell penetration studies were end-labeled
with a copy of fluorescein using a chain transfer agent (1.5 equiv)
for 2 h as described previously,[50] followed
by termination with ethyl vinyl ether (10 equiv) for 1 h at room temperature.
Block copolymers were prepared by polymerizing the first monomer (either
phenyl or PEG) to completion and then adding the second monomer (a
peptide or the guanidinium group), followed by end labeling with the
fluorescein chain transfer agent and finally termination with ethyl
vinyl ether. Fluorescein-labeled polymers were treated with NH4OH (aq) for 20 min to remove the pivolate protecting group,
as described previously.[50] The resulting
polymers were directly characterized by SEC-MALS.The side-chain
protected Arg8polymer was precipitated with cold ether and collected
by centrifugation. The resulting powder was dissolved in 2 mL of a
mixture of TFA/H2O/TIPS (95:2.5:2.5) and stirred for 4
h at room temperature. The product was precipitated with cold ether,
collected by centrifugation and dried. In preparation for in vitro
studies, all polymers were washed (×3) with cold ether (to remove
the Ru catalyst) and then dissolved in PBS and dialyzed in an effort
to remove any residual monomer or catalyst. The Tat and GSGSG particles
were generated by dissolving the amphiphilic polymers in DMF, and
then diluting with an equivalent volume of PBS over 1 h and finally
dialyzing this solution into PBS over 48 h with 3 buffer changes using
dialysis cups of MWCO 3500 (Thermo Scientific, cat. #69552).
RP-HPLC
Analysis of CPP Proteolysis
The extent of proteolytic
degradation of the Tatpeptide, polymer and particle by trypsin (Gibco
Life Tech., cat. #15090–046), α-chymotrypsin (Fisher
Scientific, cat. #ICN1522722) and Pronase (Roche, cat. #10165921001)
was assessed by comparison of chromatograms in RP-HPLC. In these experiments,
the material at the indicated concentration was incubated with each
protease (at 1 μM) for 20 min, and then the enzymes were heat
denatured at 65 °C for 15 min, and the solution was immediately
injected onto an analytical RP-HPLC. Given that treatment with each
protease gives multiple fragments of the Tat sequence, a standard
curve for each starting material was prepared to assess the percentage
of intact material remaining after proteolytic digestion (Figure S15). Note that the standard curves for
the polymer and particle will be biased due to the fact that after
cleavage, the polymer backbone and fluorophore should remain intact,
and will comprise part of the measured peak area. Nevertheless, no
new peaks were seen in the chromatograms of the polymer or particle
post enzyme treatment (Figure S16), suggesting
that these materials are not susceptible to cleavage by the proteases.
Cell Culture
HeLa cells were purchased from ATCC (CCL-2).
Cells were cultured at 37 °C under 5% CO2 in phenol-red-
containing Dulbecco’s Modified Eagle Medium (DMEM; Gibco Life
Tech., cat. #11960–044) supplemented with 10% fetal bovine
serum (Omega Scientific, cat. #FB02) and with 1× concentrations
of nonessential amino acids (Gibco Life Tech., cat. #11140–050)
sodium pyruvate (Gibco Life Tech., cat. #11360–070), l-glutamine (Gibco Life Tech., cat. #35050–061), and the antibiotics
penicillin/streptomycin (Corning Cellgro, cat. #30–002-C1).
Cells were grown in T75 culture flasks and subcultured at ∼75–80%
confluency (every ∼3–4 days).
Flow Cytometry
HeLa cells were plated at a density
of 90 000 cells per well of a 24-well plate 18 h prior to treatment.
Materials dissolved in Dulbecco’s Phosphate Buffered Saline
(DPBS without Ca2+ or Mg2+; Corning Cellgro,
cat. #21–031-CM) at 10× the desired concentration were
added to the wells, and the plates were incubated for 30 min at 37
°C. The medium was then removed, and the cells were washed twice
with DPBS and then incubated three times for 5 min with heparin (0.5
mg/mL in DPBS; Affymetrix, cat. #16920), and finally rinsed again
with DPBS. The cells were then trypsinized (0.25% trypsin; Gibco Life
Tech., cat. #15090–046) for 10 min, cold medium was added,
and the cells were transferred to Eppendorfs, centrifuged to pellets
and then resuspended in a minimal amount of cold DPBS. Fluorescence
activated cell sorting data (10 000 events on three separate
cultures) was acquired on an Accuri C6 flow cytometer set to default
“3 blue 1 red” configuration with standard optics and
slow fluidics (14 μL/min). For proteolysis studies, the indicated
concentration of Tatpeptide, homopolymer or particle was pretreated
with 1 μM of trypsin, chymotrypsin or Pronase for 20 min in
DPBS, after which the protease was heat denatured for 15 min at 65
°C. The cells were then incubated, prepared and analyzed by flow
cytometry as described above. For mechanistic studies, cells were
preincubated with the indicated compound for 30 min at 37 °C
prior to addition of the cell-penetrating material. The following
concentrations were used: 80 μM dynasore (Enzo Life Sciences,
cat. #270–502-M005) and 9.5 mM MβCD (Fischer Scientific,
cat. #AC377110050). For studies at reduced temperature, cells were
incubated at 4 °C for 30 min prior to and during the incubation
with the compound of interest. All subsequent washes and manipulations
were also done with ice-cooled media and other materials. Data is
reported as the normalized mean fluorescence, which is the mean fluorescence
yielded by the material/the mean fluorescence from the vehicle control.
Live-Cell Confocal Microscopy
HeLa cells were seeded
on glass-bottom 24-well plates at a cell density of 90 000
cells per well 18 h prior to treatment. The medium was removed and
then replaced with medium lacking phenol red (Gibco Life Tech., cat#
31053–028) to minimize background fluorescence. Materials dissolved
in DPBS (at 10× the desired concentration) were added to the
wells and the plates were incubated for 30 min at 37 °C. The
washing procedure used in the flow cytometry experiments (2 ×
DPBS, 3 × heparin for 5 min, 1 × DPBS) was followed here.
Following removal of the final DPBS rinsate, fresh media (phenol red-
free) was added to each well. Live cells were imaged on an Olympus
FV1000 confocal microscope. For proteolysis studies, the indicated
concentration of Tatpeptide, homopolymer and particle were pretreated
with 1 μM of trypsin, chymotrypsin or Pronase for 20 min in
DPBS, after which the protease was heat denatured for 15 min at 65
°C. The cells were then incubated, prepared and analyzed by confocal
microscopy as described above.
Cell Viability Assays
The CellTiter-Blue assay (Promega,
cat. #G8081) measures the reduction of resazurin to resorufin via
fluorescence. HeLa cells were plated at a density of 4000 cells per
well of a 96-well plate 18 h prior to treatment. Materials dissolved
in DPBS at 5 μM were added to the wells along with a 10% DMSO
positive control. Cells were incubated for 48 h at 37 °C. The
medium was removed and 80 μL of fresh media lacking phenol red
was added. To this was added 20 μL of the CellTiter-Blue reagent
and the cells were then incubated for 2 h prior to measuring fluorescence
in a plate reader using 560 nm excitation and 590 nm emission. The
fluorescence measurements were corrected for background fluorescence
from the CellTiter-Blue reagent by subtracting the fluorescence reading
of wells treated with the reagent in the absence of cells. Fluorescence
values were then referenced as a percentage of the value obtained
for the PBS vehicle control.
Polymerization of Thrombin
Substrate
Polymerizations
were carried out in a glovebox under a N2 (g) atmosphere.
To generate the polymers containing the thrombinpeptide sequence,
the monomer (0.007 mmol, 10 equiv, 23 mM for DP = 10; 0.013 mmol,
20 equiv, 45 mM for DP = 20; 0.021 mmol, 30 equiv, 70 mM for DP =
30) was mixed with the catalyst (0.0007 mmol, 1 equiv, 2.3 mM) in
DMF-d7 (0.3 mL) and monitored by 1H NMR to confirm complete consumption of the monomer and to
determine the time period required to reach completion. Upon completion,
the polymers were quenched with ethyl vinyl ether for 10 min, and
then precipitated with cold ether and dried under a vacuum. The resulting
polymers were directly characterized by SEC-MALS.
RP-HPLC Analysis
of Thrombin Proteolysis
The extent
of proteolytic degradation of the thrombinpeptidepolymers by thrombin
(Sigma, cat. #T6884–100UN) was assessed by comparison of chromatograms
in reverse-phase HPLC. In these experiments, the monomer and polymers
were dissolved in PBS buffer (2.2 mM with respect to peptide). Thrombin
(10 units) was added to each sample and an HPLC trace was immediately
obtained followed by subsequent HPLC injections every 45 min. A standard
curve of the authentic C-terminal fragment was generated to convert
the peak area to percent cleavage.
Fluorogenic Peptide Studies
The fluorogenic peptide
NorG-E(EDANS)RPAHLRDSGK(dabcyl)GSGSG was prepared by SPPS
as described above where the EDANS was added as a modified Glu (FMOC-Glu(EDANS)-OH;
AAPTec, cat. #AFE150) while dabcyl (Anaspec, cat #81800) was conjugated
to the ε-amino group of a lysine. This monomer was polymerized
into a homopolymer with DP = 20, determined by bulk light scattering.
Note that the fluorogenic peptide sequence did not run as a polymer
on the SEC column needed for SEC-MALS. Blend copolymers with a PEG
monomer were prepared by first assessing the rate of polymerization
of the two monomers. At the concentration of monomer studied, the
PEG monomer was quick to polymerize (complete within 15 min), while
the fluorogenic substrate polymerized at a rate of 1.78 monomers per
hr (Figure S30). To ensure reasonable interdigitation
of the two monomers in the random blend copolymer, the PEG monomer
was added via syringe pump at appropriate rates to prepare peptide:
PEGpolymers at a ratio of 1:19, 5:15, 10:10, 15:5 and 19:1 as described
in Table S5. Cleavage of the homopolymer
monomer and blend copolymers (40 μM) by the noted protease in
(at 25 nM) in reaction buffer (50 mM Tris (pH 7.4), 1 mM ZnCl2, 150 mM NaCl, 5 mM CaCl2) was monitored by measurement
of fluorescence in a plate reader or fluorimeter. The proteases, MT1-MMP
(catalytic domain; Calbiochem, cat. #476935), MMP-9 (catalytic domain;
Enzo Life Sciences cat. #BML-AW360–0010), thermolysin (Promega,
cat. #V4001), trypsin (Gibco Life Tech., cat. #15090–046) and
Pronase (Roche, cat. #10165921001) were purchased from commercial
sources. Standard curves and assay details are described in the Supporting Information.
Computational Methods
Details of the polymer constructs
that were simulated are as follows. In all cases, the polymer backbone
was composed of 10 norbornene units, flexibly linked by olefin bonds,
with a 1:1 mix of cis and trans units.
In the homopolymer, each norbornene residue is linked to the N-terminus
of the fluorogenic peptide NorGE(EDANS)RPAHLRDSGK(DABCYL)GSGSG)
(Figure 11A), where the EDANS and DABCYL fluorophores
are linked to E and K residues, respectively. The C-terminus of each
peptide was amide capped. In the 5:5 blend copolymer, five of these
peptide-dye chains were linked to norbornenes 1, 2, 5, 6, and 10 (counting
from the end of the phenyl ring); and five OEG chains, each with four
ethylene glycol units, were linked to the remaining norbornenes (Figure 11D). In the 9:1 blend copolymers, all positions
are occupied by OEGs except that the tenth or fifth norbornene (Figure 11B or 11C) is occupied by
the fluorogenic peptide.All-atom molecular dynamics simulations
were performed to study the conformations of the simulated polymers,
using the explicit water model TIP3P[91] and
the Gromacs 4.6 software package.[92] All
bonded and Lennard–Jones terms of the polymer backbone and
dye moieties were assigned by the General Amber Force Field (GAFF)[93] and partial atomic charges were assigned using
AM1-BCC.[94,95] Parameters from the Amber ff99SB-ILDN force
field[96] were assigned to the peptide components.
All simulations started from extended polymer backbone and peptide
configuration and were performed using periodic boundary conditions.
Each polymer construct was solvated in a cubic simulation box with
edge lengths set to the longest dimension of the molecule plus 2 nm.
This led to box sizes with edge lengths of 10–15 nm. The systems
were first energy minimized with the steepest-descent algorithm, and
then equilibrated for 10 ns under constant volume and temperature
conditions and then another 10 ns under constant temperature and pressure
conditions. The Particle–Mesh–Ewald (PME) method[97] was used for electrostatic interactions, and
the cutoff distance of the Lennard–Jones (LJ) interactions
was 10 Å. In some simulations, a heat–cool cycle was used
immediately after the equilibration phase to boost the systems out
of local energy minima and search for additional stable conformational
states. Here, the temperature was increased from 300 to 500 K linearly
over 2 ns; the simulation was run for 1 ns at 500 K; and the temperature
was then reduced back to 300 K linearly over 2 ns, and kept at 300
K for 95 ns of production dynamics. For comparison, regular MD simulations
at constant 300 K were also performed for 100 ns following the same
equilibration phase. We also simulated the two 9:1 blend copolymers
without the dye components (see Supporting Information), to verify that the dye molecules do not influence our major conclusions.
For these simulated polymers, one Cl− counterion
was added in order to neutralize the +1 charge.
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