High-throughput screening of mechanical properties can transform materials science research by both aiding in materials discovery and developing predictive models. However, only a few such assays have been reported, requiring custom or expensive equipment, while the mounting demand for enormous data sets of materials properties for predictive models is unfulfilled by the current characterization throughput. We address this problem by developing a high-throughput colorimetric adhesion screening method using a common laboratory centrifuge, multiwell plates, and microparticles. The technique uses centrifugation to apply a homogeneous mechanical detachment force across individual formulations in a multiwell plate. We also develop a high-throughput sample deposition method to prepare films with uniform thickness in each well, minimizing well-to-well variability. After establishing excellent agreement with the well-known probe tack adhesion test, we demonstrate the consistency of our method by performing the test on a multiwell plate with two different formulations in an easily discernible pattern. The throughput is limited only by the number of wells in the plates, easily reaching 103 samples/run. With its simplicity, low cost, and large dynamic range, this high-throughput method has the potential to change the landscape of adhesive material characterization.
High-throughput screening of mechanical properties can transform materials science research by both aiding in materials discovery and developing predictive models. However, only a few such assays have been reported, requiring custom or expensive equipment, while the mounting demand for enormous data sets of materials properties for predictive models is unfulfilled by the current characterization throughput. We address this problem by developing a high-throughput colorimetric adhesion screening method using a common laboratory centrifuge, multiwell plates, and microparticles. The technique uses centrifugation to apply a homogeneous mechanical detachment force across individual formulations in a multiwell plate. We also develop a high-throughput sample deposition method to prepare films with uniform thickness in each well, minimizing well-to-well variability. After establishing excellent agreement with the well-known probe tack adhesion test, we demonstrate the consistency of our method by performing the test on a multiwell plate with two different formulations in an easily discernible pattern. The throughput is limited only by the number of wells in the plates, easily reaching 103 samples/run. With its simplicity, low cost, and large dynamic range, this high-throughput method has the potential to change the landscape of adhesive material characterization.
Advances
in combinatorial chemistry, synthetic biology, and sequence-specific
polymers have drastically increased the sizes of material libraries
for applications ranging from nanomedicines to catalysts.[1−3] Advanced computational tools and machine learning have matched this
expanded capability by training models for predictive design using
these large data sets.[1,4,5] However,
characterization techniques with the potential to provide data at
a commensurate throughput have mostly been limited to the biological
community. For example, enzyme activity and antibody binding are routinely
tested at a rate of 105–106 per day by
utilizing colorimetric or fluorescence assays.[6,7] However,
techniques for characterizing properties outside the biological realm
have yet to match the required throughput for the exponentially increasing
demand for new experimental data, particularly for mechanical properties
such as adhesion. A key challenge to reaching a similar throughput
with mechanical testing is the lack of techniques for both high-throughput
sample preparation and measurement. A successful rapid, cost-effective,
and straightforward high-throughput characterization pipeline would
expedite both the development of predictive models and the discovery
of novel materials. The ability to implement such a pipeline with
standard lab equipment would ensure the accessibility of high-throughput
mechanical testing to the materials community at large.Many
high-throughput techniques for mechanical testing have been
developed to enable combinatorial material design.[8] Existing methods can measure properties such as elastic
modulus, hardness, and residual stress at throughputs of hundreds
or thousands of formulations per run. These methods use techniques
such as scanning nanoindentation, micromachined cantilever beams,
and micro-electro-mechanical systems.[9−11] However, these tests
require custom instrumentation or fabrication of samples into a specific
form.[12,13] As a result, the low throughput of the specific
fabrication or instrumentation requirements significantly hinder the
accessibility and the overall throughput of these techniques. Therefore,
a high-throughput mechanical testing pipeline that combines simple
sample fabrication/preparation steps with easy characterization techniques
would provide the materials science community broad access to large
mechanical property data sets that would enable transformative advances.Adhesion phenomena are essential in materials with low elastic
moduli, a category widely encompassing biological soft tissues, elastomers,
hydrogels, etc.[14] Specifically, soft matter
adhesion phenomena are crucial in various medical and industrial applications,
such as bioimplants, sealing agents, and ship fouling prevention.[15−17] In the case of medical adhesives, such as tissue sealants, exceptional
underwater adhesion is required to prevent blood loss and possible
infections.[18,19] Adhesives inspired by biological
organisms such as geckos and mussels are promising candidates that
offer excellent reversible adhesive properties in both dry and wet
environments.[20−24] Achieving these desired adhesive properties depends on the ability
to finely tune adhesive strength via several iterations of formulation
and characterization, which can be costly and time-consuming. Thus,
a characterization method that can quantitatively measure adhesive
strength in a high-throughput and cost-effective manner is clearly
necessary to accelerate the development of novel adhesive materials.High-throughput adhesion testing often requires preparing samples
in a specific form of gradients or arrays, which frequently involves
building complex custom-made instrumentation. For example, Potyrailo
et al. developed a high-throughput characterization method that can
characterize the coating materials’ resistance to adhesion
loss at a 10-fold increase in throughput from 5 coatings per day up
to 48 coatings per day, but this method requires a complex automated
system that complicates widespread adoption.[25] Other characterization methods have also been repurposed to measure
adhesion at relatively high throughput. For example, atomic force
microscopy (AFM) can determine the adhesion force on a surface by
measuring the deformation of the cantilever, but it can only measure
one sample per run and requires expensive instrumentation. Although
the automation of AFM measurements potentially gives a higher throughput,[26,27] the expensive instrumentation prevents the method from being widely
accessible.We identified four key requirements for a high-throughput
adhesion
characterization pipeline to be widely adopted: (1) It uses commonly
available laboratory equipment. (2) It applies the same force to many
samples simultaneously. (3) It efficiently converts a mechanical response
into an optical signal (4) Its sample preparation throughput matches
the throughput of characterization. A common laboratory centrifuge
satisfies the first two criteria and is used in assessments of cell
adhesion and biophysical properties. Reyes et al. reported using centrifugation
in quantitative measurements of cell adhesion, allowing for the fast
screening of biomaterial surface modifications and tissue scaffolds.[28] Centrifugation has also been used to mechanically
manipulate single molecules and enable the measurement of the rupture
and unlooping force of DNA nanoswitches at high throughput with high
precision.[29,30] To use centrifugation for high-throughput
mechanical testing, we were inspired by the well-known probe tack
apparatus that measures the adhesion energy of material between a
spherical probe and a flat surface.[31−33] By replacing the spherical
probe with colored or fluorescent spherical particles and centrifuging,
we can correlate adhesive strength to particle retention at a known
centrifugal force, which is easily visualized and thus satisfies requirement
3 (Figure ). Finally,
the uniform forces applied during centrifugation also enable the preparation
of samples at the same throughput as the adhesion testing, integrating
perfectly into the pipeline and satisfying requirement 4.
Figure 1
Schematic of
the centrifugal adhesion testing procedure. After
casting adhesive films in a multiwell plate, colored or fluorescent
particles are evenly distributed in each of the wells; then, the plate
is centrifuged with the particles facing outward, causing the particles
to detach from the films with weaker adhesive properties. The arrow
indicates the direction of centrifugal acceleration (up to 4700g).
Schematic of
the centrifugal adhesion testing procedure. After
casting adhesive films in a multiwell plate, colored or fluorescent
particles are evenly distributed in each of the wells; then, the plate
is centrifuged with the particles facing outward, causing the particles
to detach from the films with weaker adhesive properties. The arrow
indicates the direction of centrifugal acceleration (up to 4700g).In this Article, we describe a
novel pipeline that can prepare
uniform-thickness films of individual formulations and measure adhesive
properties at high throughput with a common benchtop centrifuge and
commercially available microparticles and multiwell plates. The method
can characterize thousands of adhesive formulations simultaneously,
and it can characterize a wide range of materials with easily controlled
and tunable testing environments (dry/wet, aqueous/organic solvent,
basic/acidic, etc.). First, we introduce a high-throughput sample
preparation method to prepare adhesive films with an even thickness
in a multiwell plate. We then demonstrate the method with a model
pressure-sensitive adhesive (PSA) polymer and calibrate using measurements
made by a standard probe tack test, showing excellent agreement. Finally,
we illustrate the throughput of the method by displaying a pattern
on a 384-well plate and conduct a consistency analysis by calculating
the Z-factor. The simplicity of our method can speed
up the characterization process of new adhesive materials to a throughput
of 1536 samples per run in our specific setup. However, the throughput
is limited only by the number of wells in each plate and the number
of plates a rotor can hold, meaning that our method has a throughput
in the range 103–104, which is a drastic
improvement compared to the traditional one-sample-per-run method.
Experimental
Section
PSA Film Preparation
We demonstrated our method using
a waterborne acrylicPSA (Figure S1) that
is a copolymer of n-butyl acrylate with 3% of methacrylic
acid (Dow Chemical). The polymer is provided as a water-based emulsion
with a solid content of ∼40 wt %. To reduce the viscosity of
the solution, we prepared a 6.25 wt % working stock PSA solution by
diluting with ddH2O to facilitate pipetting. Additionally,
we prepared a 6.25 wt % solution of an inherently nonadhesive polymer,
polyethylene glycol (PEG, Mn = 300 g/mol),
in water. By mixing the two solutions at different ratios, we made
working stocks of the polymer mixture at varying concentrations (70–100%
of PSA). We then pipetted 5 μL total of the polymer solution
with different formulations into corresponding wells of a 384-well
plate (Nunc 384-well, nontreated, flat-bottom microplate, Thermo Scientific).
Using a benchtop centrifuge (Sorvall Legend XFR centrifuge with a
TX-750 swinging bucket rotor, Thermo Scientific), the plate was spun
at 1000g and 40 °C for 6 h to evaporate the
water in the polymer solution. To ensure that the films were thoroughly
dried, we placed the 384-well plate in a vacuum oven at 65 °C
for 1 h to further evaporate the water. We then characterized the
morphology and the thickness of the films using a Contour X-100 3D
optical profilometer (Bruker).
In Situ Bottom Layer Curing
To cast
a bottom layer in each well of the multiwell plate, we adapted the
formulation and the procedure from Rapp et al.[34] We chose poly(methyl methacrylate) (PMMA) as it is fast
curing and is glassy at room temperature.[35,36] We made a prepolymer of PMMA by dissolving PMMA (purchased from
Sigma-Aldrich, average MW ∼15 000 g/mol by GPC) in methyl
methacrylate (Fisher Chemical) at a 1:2 mass ratio. In an amber vial,
we added 2-hydroxy-2-methylpropiophenone as the initiator (5%), ethylene
glycol dimethacrylate as the cross-linker (5%), and prepolymer (90%),
and we sparged the solution with nitrogen for 1 h. We then pipetted
30 μL of the mixed solution into each well of a 384-well plate
composed of polyproylene (384PP 2.0, Labcyte). To cure the polymers
while centrifuging, we purchased a UV LED light panel (UV intensity
0.1 mW/cm3, LED Cool Lights) and constructed a custom setup
in the centrifuge rotor (Figure S2). The
setup was then centrifuged (3000g, 10 h), while the
prepolymers were UV irradiated, and then placed in a vacuum oven at
65 °C for 1 h to remove any residual uncured monomer. The morphology
and the thickness profile of the cured polymers were measured by a
Contour X-100 3D optical profilometer.
Centrifugal Adhesion Test
We purchased green silica
microparticles with size ranges 600–710 μm (geometric
average radius, 325 μm) and 710–850 μm (geometric
average radius, 390 μm) in diameter from Corpuscular, Inc. Microparticles
were further sieved through three U.S. standard stainless steel sieves
purchased from Fisher Scientific (pore sizes: 600, 710, and 850 μm)
to ensure that their sizes were correct. Each of the PSA films was
then covered with a layer of microparticles of a specific size range.
We then centrifuged the 384-well plate containing the PSA films with
the particles facing inward at 4700g for 5 min to
ensure good particle contact with the film. A picture of the plate
was taken as a reference. The plate was then flipped so that the particles
faced outward, and the plate was centrifuged at various angular speeds
for 1 min. After each spin, we took a picture of the plate and counted
the number of particles in each well. For the high-throughput assay,
we instead used red fluorescent silica microparticles with a size
range 600–710 μm in diameter from Cospheric Inc. (exc.,
575 nm; em., 607 nm). We followed the same procedure for the green
silica particles to perform the centrifugal adhesion test. For characterization,
we measured the fluorescence reading with a plate reader (Synergy
HTX, Biotek) prior to and after spinning at each speed.
Axisymmetric
Probe Tack Test
We performed a probe tack
test to measure the force vs displacement history for each formulation
under the same strain rate. The setup was previously described by
Wang et al.[37] We used the same microparticle
from the centrifugal test to replace the hemispherical glass indenter
described in the paper. We first measured the contact area between
the particle and the adhesive film during the centrifugal adhesion
test for each formulation. To ensure consistency, we steadily increased
the compressive load at an approach velocity of 1 μm/s until
the same contact area as the particle–film interface from the
centrifugal method was achieved. The contact area of the particle–film
interfaces for both methods was monitored using a microscope that
was installed below the transparent substrate of the probe tack apparatus.
We allowed a 1 s dwell time to improve the reproducibility of the
measurement.[38] The indenter was then detached
at a velocity of 1 μm/s while measuring the detachment force.
We obtained Favg from the force vs displacement
profile by integrating the force–displacement curve and normalizing
it by the total displacement during the detachment process, δ
(Figure S3):
Plate Image
Analysis and Z-Factor Calculation
To quantify
the statistics of particle detachment and enable a
high-throughput analysis for a measurement with colored particles,
we developed a Python-based image analysis code to automate the particle
counting. Images of each 384-well plate were converted to grayscale
and then split into a 24 by 16 grid, with each grid box representing
each well. For each grid box, a threshold value was then calculated
to distinguish the darker particles from the lighter-colored background
of the well. The code then counts the number of pixels registered
as particles and divides that value by the total pixel count of the
grid box. The area ratios were calculated for all of the wells in
the control photo (0g), and the area ratios of each
of the wells at different centrifugal speeds were divided by the ratios
calculated in the control photo. The final ratios calculated represent
the detachment of particles in each well. A screening window coefficient
for high-throughput screening assays, Z-factor, was
used to quantify the assay signal dynamic range and the data measurement
variation. A Z-factor of 0.5–1.0 is usually
considered excellent. The Z-factor of the centrifugal
adhesion method was calculated as previously described, with the 70%
PSA as the negative control and the 100% PSA as the positive control.[39]
Safety Statement
No unexpected or
unusually high safety
hazards were encountered during the experiments.
Results and Discussion
Centrifugation
Enables Film Deposition with Uniform Thickness
One of the
significant challenges for realizing high-throughput
mechanical testing is preparing samples consistently and combinatorially
in a simple manner. To achieve this goal, we selected an emulsion-based
acrylic pressure-sensitive adhesive (PSA) polymer as the model material
to demonstrate our sample preparation method (Figure S1). An accurate adhesion measurement relies heavily
upon sample preparation, specifically ensuring that the sample films
have a known and uniform thickness.[40] Though
drop-casting on a substrate is commonly used, this causes an uneven
surface of the deposited film because of the “coffee-ring”
effect from surface tension in which capillary flow drives the solute
to the outer edge of a drying droplet (Figure A).[41] To solve
this issue, we deposited films while applying centrifugal force, by
spinning a 384-well plate in a centrifuge while drying the PSA solution
in the plate for 6 h. The water removal process was performed under
ambient ventilation at 40 °C, but the drying process can be significantly
accelerated if the polymer is in a more volatile solvent, or the centrifuge
can be heated to higher temperatures. The resulting films were transparent
and smooth upon visual inspection. We later measured the morphology
of the films using a 3D optical profilometer. The images showed that
the deposited films have a consistent thickness with a much smoother
surface compared to films prepared by drop-casting (Figure B). The measured thickness
of 20 μm matched the expected thickness calculated from mass
and density (Table S1).
Figure 2
3D optical profilometry
of adhesive polymer films dried (A) under
gravity and (B) under centrifugation. The film that was dried under
centrifugation showed a significantly smoother surface than the one
under gravity. The groove was purposely created before the measurement
to obtain the thickness of the film (20 μm). Scratches into
the substrate inside the groove resulted in the maximum measured depth
being higher than the film thickness.
3D optical profilometry
of adhesive polymer films dried (A) under
gravity and (B) under centrifugation. The film that was dried under
centrifugation showed a significantly smoother surface than the one
under gravity. The groove was purposely created before the measurement
to obtain the thickness of the film (20 μm). Scratches into
the substrate inside the groove resulted in the maximum measured depth
being higher than the film thickness.The centrifugal film casting method introduces another challenge
that arises from the finite size of the multiwell plate relative to
the spinning radius of the centrifuge. Specifically, wells that are
farther away from the center of the plate experience centrifugal forces
that are misaligned relative to the bottom of the plate, resulting
in slanted films of nonuniform thickness (Figure A). To overcome this limitation, a hard bottom
layer that is perpendicular to the centrifugal force at each well
position can be cast prior to the film deposition step, using a similar
centrifugal film casting method as discussed above. Thus, as the deposited
films slant at the same angle as the hard bottom layer, the relative
thickness of the film deposited on the hard layer is uniform (Figure B). We cast this
hard bottom layer from poly(methyl methacrylate) by UV curing in situ while the plate was centrifuging.[34] We designed a custom-made in situ UV-curing
system (Figure S2) and found an optimal
liquid PMMA formulation (2:1 liquid MMA to PMMA) for fast curing purposes.
We then developed a casting procedure for the bottom layer (Figure B) and demonstrated
the feasibility of this approach. The observed angles of the PMMA
layers ranged from 0° to 13.2° from the center well to the
edge as measured by 3D optical profilometry (Figure C), closely matching the theoretical range
from 0° to 11.9° calculated based on a 384-well plate of
size 3.2 cm, spinning in our rotor of radius 15.2 cm.
Figure 3
(A) Schematic of the
off-alignment effect due to the geometry of
the centrifuge rotor, which causes slanted films if polymers are cast
directly on the bottom of the multiwell plate. The off-aligned angle
of the centrifugal force increases as the wells are farther away from
the center. The angles are exaggerated to illustrate the effect. (B)
Schematic of the in situ UV curing procedure, shown
by a selected well (boxed in part A). The prepolymer of PMMA with
photoinitiator and cross-linker is added to each well. The plate is
then centrifuged while the prepolymer is UV cured, such that the surface
of the liquid becomes perpendicular to the off-aligned centrifugal
force, and the angle is preserved once the liquid solidifies upon
curing. Thus, when we cast the adhesive layer under the same off-aligned
centrifugal force, the relative thickness will be the same throughout
the well. (C) 3D optical profilometer image of the bottom layer in
the selected well (4th well from the center). Measurements show that
the observed angle matches the geometrically calculated angle.
(A) Schematic of the
off-alignment effect due to the geometry of
the centrifuge rotor, which causes slanted films if polymers are cast
directly on the bottom of the multiwell plate. The off-aligned angle
of the centrifugal force increases as the wells are farther away from
the center. The angles are exaggerated to illustrate the effect. (B)
Schematic of the in situ UV curing procedure, shown
by a selected well (boxed in part A). The prepolymer of PMMA with
photoinitiator and cross-linker is added to each well. The plate is
then centrifuged while the prepolymer is UV cured, such that the surface
of the liquid becomes perpendicular to the off-aligned centrifugal
force, and the angle is preserved once the liquid solidifies upon
curing. Thus, when we cast the adhesive layer under the same off-aligned
centrifugal force, the relative thickness will be the same throughout
the well. (C) 3D optical profilometer image of the bottom layer in
the selected well (4th well from the center). Measurements show that
the observed angle matches the geometrically calculated angle.Pictures of the 384-well taken at different centrifugal
accelerations.
Each row depicts the same plate centrifuged at different speeds, with
a picture taken at the end of each spin.
Centrifugal Adhesion Test Can Differentiate Formulations with
Various Adhesive Strengths
With the centrifugal deposition
technique established, we developed a adhesion screen with groundbreaking
throughput, by capitalizing on the unparalleled capabilities of the
centrifugation to apply homogeneous force. We reasoned that we could
use colored or fluorescent microparticle detachment from films at
varying centrifugal speeds to measure adhesion, converting adhesive
properties to optical signals for high-throughput measurement. To
test this idea, we selected polymer formulations with different adhesive
strengths. We used the same PSApolymer as in the previous section
and modulated its adhesion by mixing it at varying ratios with nonadhesive
polyethylene glycol (PEG). After depositing the polymer films using
the centrifugal method and covering them with colored 325 μm
radius particles, we used the centrifuge to apply a pressing force
on the particles to ensure good film–particle contact. We then
inverted the plate and centrifuged with the particles facing outward
such that they experienced a centrifugal pulling force. We ramped
up the centrifugal acceleration from 0g to 4700g with a 250g increment after each run.
At each centrifugal speed, we took a picture of the multiwell plate
to record the detachment of particles and compared it to the picture
of the original plate. We observed that, for formulations with higher
adhesion, particles were retained at higher angular speeds. For example, particles detached
from a film composed of 70% PSA at 500g, while the
90% PSA film was able to retain particles all the way up to 2750g (Figure ).
Figure 4
Pictures of the 384-well taken at different centrifugal
accelerations.
Each row depicts the same plate centrifuged at different speeds, with
a picture taken at the end of each spin.
Our method can be used for many different applications depending
on the specific characterization need. Materials such as solution-based
or photocurable adhesives that are compatible with the testing instruments
can be easily measured using our approach. Moreover, the testing environment
is adaptable, as each of the individual wells can be kept empty or
filled with different testing environment solutions. For example,
our method can potentially characterize underwater adhesion by simply
filling each well with the solution of interest coupled with plate
seals.
Comparison to the Probe Tack Adhesion Test Validates the Centrifugal
Adhesion Test
Next, we validated our method by comparing
it to a standard, state-of-the-art measurement technique. We selected
the probe tack adhesion test as the standard technique for comparison,
as it is widely used to characterize adhesion phenomena in soft materials
with great accuracy and sensitivity.[42,43] Specifically,
the probe tack test has previously been used to measure the adhesive
properties of acrylic PSAs, providing a direct comparison to our study.[44,45] While this test is not designed for high-throughput applications,
as a single measurement can take several minutes, the probe tack test
can record a detailed force vs displacement profile while taking a
video of the contact area during debonding. It also involves using
a spherical indenter in contact with an adhesive layer, so it is mechanistically
similar to our centrifugal test. Accordingly, we used the same microparticles
from the centrifugal test as the probe for the measurement. We next
obtained the average adhesion force (Favg) by analyzing the load–displacement profile for each of the
formulations. We use this as the key point of comparison with the
centrifugal test results.To verify the accuracy of our method,
we compared the adhesive properties of 74–100% PSA measured
by both the centrifugal adhesion test and the probe tack test. For
the centrifugal adhesion test, the number of particles was counted
in each well using the pictures taken. In Figure , we denote the status of each well as dots
of varying colors as the plate is centrifuged at successively higher
speeds. Each row of dots in the figure is one centrifugation of several
PSA formulations, at an angular speed that was converted to a detachment
force experienced by the particle during the spin (Figure , left axes). This conversion
is given by eq below,
and a table of values for the particles used in this study is shown
in Table S2. While the status of each well
was determined manually through visual inspection, further automation
can be achieved using fluorescent particles and measuring the optical
signal with a plate reader or using an image analysis code. We repeated
this procedure with red fluorescent particles (Figure S4), and we observed a similar trend as in Figure , demonstrating that
the use of these probes enables improved automation in the workflow
without any sacrifice in accuracy.
Figure 5
Comparison of measurements made by the
centrifugal adhesion test
and the probe tack test. The detachment of the microparticles is shown
by colors. A blue dot means that >60% of the particles remained
on
the film a yellow dot that 40–60% of the particles remained
on the film, and a red dot that <40% of the particles remained
on the film. Favg measured using the probe
tack test (after adjusting by a factor of a = 1.6)
was also plotted on the same figures. (A) Measurements are done by
using particles of a 325 μm radius with the actual image of
the centrifugal measurement at 750g. The colored
boxes and arrows indicate the detachment status of each condition.
(B) Measurements are done by using particles of a 390 μm radius.
Comparison of measurements made by the
centrifugal adhesion test
and the probe tack test. The detachment of the microparticles is shown
by colors. A blue dot means that >60% of the particles remained
on
the film a yellow dot that 40–60% of the particles remained
on the film, and a red dot that <40% of the particles remained
on the film. Favg measured using the probe
tack test (after adjusting by a factor of a = 1.6)
was also plotted on the same figures. (A) Measurements are done by
using particles of a 325 μm radius with the actual image of
the centrifugal measurement at 750g. The colored
boxes and arrows indicate the detachment status of each condition.
(B) Measurements are done by using particles of a 390 μm radius.Although all of the particles would ideally detach
at the same
centrifugal speed for a given formulation, our experiments were more
stochastic than expected. This variability is likely due to the inhomogeneity
of the particle size and film defects. For example, in our size range
of particles (710–850 μm), the largest particles should
experience a 71% higher centrifugal force than the smallest particles.
To mitigate this variability, we define the centrifugal force at which
40–60% of the particles detach as the critical adhesive force
measured for the corresponding formulation. We expect this quantitative
metric to be less affected by the variability, as it is obtained by
averaging the detachment status of ∼20 particles in each well.
It also provides a quantitative value for the adhesion force that
can be compared between different formulations and with other characterization
methods, such as the probe tack test. In fact, our method may have
even lower variability compared to a traditional adhesion test, as
its results are an average of over as many particles as can fit in
a well, each of which is analogous to an individual probe tack test.Results from our method are in agreement with probe tack test results
on the same formulations, proving that our method is capable of quantitative
measurement (Figure A). The best match occurs when comparing to Favg from the axisymmetric probe test with an order 1 linear
factor, which was empirically determined to be 1.6. Measurements done
using larger microparticles (390 μm radius) demonstrated the
robustness of this method when using particles of different sizes
(Figure B). The dynamic
range of the probing adhesive strength can be easily tuned by simply
changing the particle size in the experiment, as the centrifugal force
is a function of particle radius:where G is the centrifugal
acceleration controlled by the rotor’s rotational speed and
radius, and ρparticle and rparticle are the particle density and radius, respectively.
Common commercially available microparticles have the size range ∼10–1000
μm in diameter, and centrifuges can usually go from 0g to 5000g with a plate rotor. This corresponds
to a tunable force range of at least 8 orders of magnitude. For example,
the centrifugal force could go as low as 1.23 nN by using polyethylene
particles (ρ = 0.96 g/cm3) with a radius of 5 μm
at 250g and as high as 0.188 N by using stainless
steel particles (ρ = 7.8 g/cm3) with a radius of
500 μm at 4700g. The large dynamic range enables
the application of the method to a wide range of soft materials.We hypothesize that the empirical linear factor of 1.6 arises when
bridging the difference between our method as a stress-controlled
experiment versus the probe tack test as a strain-controlled method.
Though we keep the experimental parameters as identical as possible,
the strain rate dependence of soft matter adhesion[37,46] makes direct comparison between the two methods difficult because
measuring and controlling the strain rate during the centrifugation
is inherently challenging. In fact, our method is only able to achieve
such high throughputs as a stress-controlled method, by applying the
same force to each particle using centrifugation. The linear factor
is introduced to correlate the two methods with potentially different
strain rates, and the factor may be closer to 1 if we could perfectly
match these strain rates. While our method is powerful in its simple
and quick screening of the adhesive material candidates, measuring
more detailed adhesion phenomena is always possible on a smaller set
of material candidates after screening.
Simultaneous Measurements
of 384 Samples Shows Both the Throughput
and the Robustness of Our Method
For our method to be useful
as a high-throughput screen, we needed to ensure that there was minimal
well-to-well variability across a multiwell plate. For example, not
all of the wells are perfectly normal to the radius of centrifugation
as previously discussed, causing centrifugal forces to be misaligned
relative to the bottom of the plate (Figure ). The calculated maximum misalignment angle
during film preparation is 11.9°, and the multiwell plate is
inverted meaning that the centrifugal force is misaligned by another
11.9°, resulting in a total misalignment angle of 23.8°
relative to the plane of the film. Moreover, the radius of centrifugation
at the edge wells is larger by a factor of 1/cos(θmax) compared to the center wells, where θmax is the
maximum misalignment angle. Taking both factors into account, this
corresponds to a maximum difference between the centrifugal force
at the center and the centrifugal force at the furthest well of only
6.5%, as calculated by the following equation (see Figure S5 for details):Taking
advantage of this minimal variability
in forces across the entire plate, we further demonstrated both the
consistency of the measurement and the throughput of the method. To
do this, we performed an all-plate demonstration by depositing two
different PSA formulations on a well plate, prearranged in a pattern.
The two formulations were chosen based on their adhesive strength
difference, which offers enough contrast to reveal the pattern while
demonstrating the sensitivity of the screen. This pattern was shown
as the particles in wells containing a weaker formulation (80% PSA)
detached simultaneously at a relatively low angular speed, while wells
with a stronger formulation (92% PSA) showed retention until much
higher speeds (Figure B). Furthermore, we conducted a consistency analysis on our method
by calculating the Z-factor, a coefficient that measures
the screening assay quality and measurement data variation,[39] with negative controls (70% PSA) and positive
controls (100% PSA) deposited in alternating columns (Figure S6). The Z-factor increases
as we ramp up the centrifugal speed, with a peak score of 0.92 at
2500g, when almost all particles were detached from
the negative controls and retained on the positive controls. The results
again indicate the robustness of the method. The high Z-factor score also suggests that the 6.5% difference in centrifugal
force from the center to the edge wells can be considered negligible.
Figure 6
(A) Schematic
of the all-plate experiment to demonstrate the throughput.
A pattern (dark blue) was displayed by depositing a relatively strong
formulation (92% PSA), and a weaker formulation (80% PSA) was deposited
in the background (light blue). (B) Here, particles of a 325 μm
radius were used for the all-plate experiment. Boxed in red are two
wells deposited with 100% PSA that served as the negative control.
The particles in the background detached first as those films are
less adhesive, revealing the “NU ROCKS” pattern. The
particles in the pattern eventually detached at 4700g. The experiment was done following the same spin adhesion testing
procedure.
For a centrifuge rotor that holds four plates at the same time,
our method has a throughput of 1536 samples/run if using a 384-well
plate. The potential throughput can be further improved by using a
centrifuge rotor that can hold additional plates or doing the centrifugal
test with 1536-well plates. The high throughput of this method can
significantly expedite the characterization of adhesive materials,
enabling large adhesive property data sets to be generated.Although our method has many advantages over conventional methods,
it is designed to complement traditional mechanical testing. For example,
as our method is a stress-controlled experiment, it is challenging
to control the strain rate during the detachment, as previously discussed.
It also might be hard to identify the failure mode (adhesive/cohesive
failure) by our method, though the problem can potentially be tackled
using a built-in camera inside the centrifuge or detailed ex situ analysis of the adhesive films after testing. In
this case, classic adhesive testing methods would be the perfect follow-up
to our method by providing a more detailed characterization of material
candidates selected with our screening approach. We expect that the
integration of our technique into the material development pipeline
can substantially benefit the community.(A) Schematic
of the all-plate experiment to demonstrate the throughput.
A pattern (dark blue) was displayed by depositing a relatively strong
formulation (92% PSA), and a weaker formulation (80% PSA) was deposited
in the background (light blue). (B) Here, particles of a 325 μm
radius were used for the all-plate experiment. Boxed in red are two
wells deposited with 100% PSA that served as the negative control.
The particles in the background detached first as those films are
less adhesive, revealing the “NU ROCKS” pattern. The
particles in the pattern eventually detached at 4700g. The experiment was done following the same spin adhesion testing
procedure.
Conclusion
We
developed a high-throughput, fast, and cost-effective centrifugal
adhesion mechanical testing pipeline that can prepare and characterize
adhesive materials with easily accessible laboratory equipment and
consumables. The unique centrifugal deposition method overcomes the
drawbacks of drop-casting, making it possible to deposit films with
a smooth surface and an even thickness in all wells of a multiwell
plate. Furthermore, the centrifugal adhesion testing method provides
a quantitative measurement with the results validated by a more standard
adhesion test. We envision expanding our centrifugal force-based method
to measure other mechanical properties at high throughput, expanding
our capability of advanced materials characterization. Our work enables
the high-throughput discovery of adhesives and brings a novel tool
to the materials community. Moreover, we hope that the idea of converting
mechanical properties to an optical signal can inspire additional
new processes for high-throughput mechanical testing.
Authors: Radislav A Potyrailo; Bret J Chisholm; William G Morris; James N Cawse; William P Flanagan; Lamyaa Hassib; Chris A Molaison; Karin Ezbiansky; George Medford; Hariklia Reitz Journal: J Comb Chem Date: 2003 Jul-Aug
Authors: Patrick Wilke; Nicolas Helfricht; Andreas Mark; Georg Papastavrou; Damien Faivre; Hans G Börner Journal: J Am Chem Soc Date: 2014-09-02 Impact factor: 15.419
Authors: Gokay Yamankurt; Eric J Berns; Albert Xue; Andrew Lee; Neda Bagheri; Milan Mrksich; Chad A Mirkin Journal: Nat Biomed Eng Date: 2019-02-18 Impact factor: 25.671
Authors: Tobias M Nargang; Lara Brockmann; Pavel Mitkov Nikolov; Dieter Schild; Dorothea Helmer; Nico Keller; Kai Sachsenheimer; Elisabeth Wilhelm; Leonardo Pires; Marian Dirschka; Alexander Kolew; Marc Schneider; Matthias Worgull; Stefan Giselbrecht; Christiane Neumann; Bastian E Rapp Journal: Lab Chip Date: 2014-06-02 Impact factor: 6.799