Focal adhesions are large multi-protein assemblies that form at the basal surface of cells on planar dishes, and that mediate cell signalling, force transduction and adhesion to the substratum. Although much is known about focal adhesion components in two-dimensional (2D) systems, their role in migrating cells in a more physiological three-dimensional (3D) matrix is largely unknown. Live-cell microscopy shows that for cells fully embedded in a 3D matrix, focal adhesion proteins, including vinculin, paxillin, talin, alpha-actinin, zyxin, VASP, FAK and p130Cas, do not form aggregates but are diffusely distributed throughout the cytoplasm. Despite the absence of detectable focal adhesions, focal adhesion proteins still modulate cell motility, but in a manner distinct from cells on planar substrates. Rather, focal adhesion proteins in matrix-embedded cells regulate cell speed and persistence by affecting protrusion activity and matrix deformation, two processes that have no direct role in controlling 2D cell speed. This study shows that membrane protrusions constitute a critical motility/matrix-traction module that drives cell motility in a 3D matrix.
Focal adhesions are large multi-protein assemblies that form at the basal surface of cells on planar dishes, and that mediate cell signalling, force transduction and adhesion to the substratum. Although much is known about focal adhesion components in two-dimensional (2D) systems, their role in migrating cells in a more physiological three-dimensional (3D) matrix is largely unknown. Live-cell microscopy shows that for cells fully embedded in a 3D matrix, focal adhesion proteins, including vinculin, paxillin, talin, alpha-actinin, zyxin, VASP, FAK and p130Cas, do not form aggregates but are diffusely distributed throughout the cytoplasm. Despite the absence of detectable focal adhesions, focal adhesion proteins still modulate cell motility, but in a manner distinct from cells on planar substrates. Rather, focal adhesion proteins in matrix-embedded cells regulate cell speed and persistence by affecting protrusion activity and matrix deformation, two processes that have no direct role in controlling 2D cell speed. This study shows that membrane protrusions constitute a critical motility/matrix-traction module that drives cell motility in a 3D matrix.
Two-dimensional (2-D) cell motility depends upon forces generated from the
dynamic remodeling of the acto-myosin cytoskeleton as transmitted through focal
adhesions (FAs) to the extracellular matrix. FAs, which contain > 100
different proteins and play both mechanosensory and signaling functions1, 2, are
observed at the basal surface of cells in 2-D cultures 3, 4. When cells are
partially embedded in a 3-D matrix, FAs become smaller and their composition changes
compared to the conventional 2-D case 5-8. However, when the cell is completely buried
inside a 3-D matrix – the in vivo case – FAs are not
readily detected 9, 10. FAs also disappear when cells are placed on soft substrates
11-13. This suggests an important question: Since FAs are not apparent in
matrix-embedded cells, what is the role of key components of FAs in cells in a 3-D
matrix that more closely mimics the physiological condition? This is particularly
important since expression levels of several FA proteins—focal adhesion
kinase (FAK) 14, paxillin15, and zyxin 16—correlate with metastatic potential in
vivo.Little is known about the function(s) of FAs for cells in matrix or
in vivo. Understanding this is important since the
physiological environment of most cells in vivo is essentially soft
and 3-D. Even endothelial and single-layered epithelial cells, which form 2-D
structures, begin to move within 3-D extracellular matrices in the context of wound
healing and cancer metastasis.The architecture of adhesion complexes in 3-D matrices are remarkably
different from those of cells in 2-D cultures5, 6. However, in previous work, cells
were only partially embedded in the matrix, i.e. the apical surface of the cell was
not in contact with the matrix. This is an important distinction from cells that are
completely embedded inside a matrix away from all stiff walls. Herein, we determined
the properties conferred by FA components to the migration of cells fully embedded
in a 3-D matrix. Despite the absence of any detectable FA structures, FA components
were still found to regulate cell speed, predominantly by modulating pseudopodia
activity and matrix deformation – two cellular processes that play little
role in controlling 2-D cell speed 17.
Results and Discussion
Confocal microscopy of FA proteins confirmed the formation of FAs at the
basal surface of wild type (WT) HT-1080 cells, a humanfibrosarcoma cell line
commonly used to study cell migration18-21, on collagen-coated 2-D glass substrates
(Fig. 1, A and C). When these cells were
sandwiched between the same collagen-coated substrate and a thick collagen gel
deposited on the apical surface of the cell (“2.5-D”, Fig. 1A), FAs still formed, but were greatly
decreased in size and number (Fig. 1, A and D)
and protein clusters did not appear on the apical surface facing the top gel (Fig. 1D).
Fig. 1
Regulated formation of FAs in 2-dimensional, 2.5-dimensional, and
3-dimensional collagen matrix microenvironments
A and B. Schematics of type I collagen microenvironments studied
here, including cells on conventional flat type I collagen-coated glass
substrates (“2-D”, A), cells sandwiched between a
collagen-coated substrate and coated with a thick layer of collagen
(“2.5-D”, A), and cells fully immersed inside a 3-D collagen
matrix (“3-D”, B). C and D. Confocal fluorescence
micrographs of vinculin and zyxin, two major constituents of standard FAs in
2-D, in wild type (WT) HT-1080 human fibrosarcoma cells, which were either
plated on conventional substrates (2-D case, C) or partially embedded in a
matrix (2.5-D case, D). Scale bar, 10 μm. As a control, we verified
that we were able to visualize the microtubule network using antibodies
against tubulin and the same secondary antibodies used to stain FA proteins
(data not shown). E. Phase contrast and fluorescence
micrographs of live wild-type cells stably expressing either EGFP-vinculin
(top panels) or EGFP-zyxin (bottom panels) on flat 2-D substrates (left
panels) and inside a 3-D matrix (right panels). Insets show large vinculin
or zyxin-containing FAs in the 2-D case, and diffuse staining in the 3-D
case. Scale bar, 10 μm.
When cells were embedded in a 3-D matrix, and only cells inside the matrix
and well removed from the bottom glass were analyzed (Fig. 1B), no FAs were detected by confocal microscopy in fixed cells. In
an alternative strategy, we established cells stably transfected with EGFP-tagged
proteins (Fig. 1E). FAs were again not
observed. Given the resolutions of our light microscopes, we estimate that, if FAs
exist for cells in a 3-D matrix, their size is smaller than 0.3 μm and their
lifetime shorter than a second. In contrast, the size of FAs for cells on flat
substrates is as large as 15 μm and can last > 15 min 22.These results suggest that cells completely, as opposed to partially,
embedded inside a matrix do not display observable FAs. To determine whether and how
FA proteins play a role in cell motility in a 3-D matrix, we systematically
RNAi-depleted (Fig. S1)
major FA proteins, including structural proteins talin, vinculin, α-actinin,
zyxin, paxilin, and vasodilator-stimulated phosphoprotein (VASP), and enzymes and
adaptor proteins FAK and p130Cas. We measured the speed of individual cells during
random migration inside a type I collagen matrix (Fig.
2, A and C) and compared this to speed on a collagen I-coated flat
substrate (Fig. 2B). Strikingly, changes in 3-D
cell speed resulting from the depletion of FA proteins did not correlate at all with
changes in 2-D cell speed (Fig. 2, B and C),
i.e. 2-D cell speed was a poor predictor of 3-D cell speed (Fig. 2D and ST1). For instance, the depletion of p130Cas uniquely enhanced cell
speed in 2-D compared to control cells (Fig.
2B), but reduced cell speed in a 3-D matrix, more than any other tested FA
protein (Fig. 2C). In contrast, the depletion
of zyxin induced higher cell motility inside a 3-D matrix (Fig. 2C), while it had no significant effect on 2-D cell
motility (Fig. 2B). The specificity of the role
of FA proteins in both 2-D and 3-D cell motility was verified by showing that
concurrent re-expression of an RNAi-resistant isoform of the depleted FA proteins
rescued the 3-D cell motility phenotypes or by using multiple RNAis targeting
different positions in mRNA (Fig. 2C). When a
β1 integrin antibody was used, cell speed was drastically reduced, indicating
that cell motility in a 3-D matrix, as on 2-D substrates, depends on β1
integrin-ECM binding (Fig. S2
A). Acto-myosin contractility also plays a significant role in 3-D cell
migration23-25.
Fig. 2
Regulation of 2-D cell motility by FA proteins is not predictive of
regulation of 3-D cell motility in matrix
A. Typical trajectories of individual matrix-embedded WT HT-1080
cells and HT-1080 cells RNAi-depleted of major FA proteins p130Cas, talin,
FAK, and vinculin. Scale bar, 10 μm. B and C. Average
random-motility speed of WT cells and multiple cells stably depleted of
major FA proteins on 2-D substratum (B) and inside a 3-D collagen matrix
(C). D. Lack of correlation between 2-D cell speed and 3-D cell
speed. Cell speeds were normalized by the maximum mean value in each data
set (here zyxin-depleted cells in 3-D and p130Cas-depleted cells in 2-D).
Slope evaluated from a linear fit of the data, R squared value, and p value
of correlation are indicated. E and F. Persistence time (E) and
persistence distance of migration (F) of cells in matrix for WT cells and FA
protein-depleted cells. G. Correlation function between the 2-D
and the 3-D persistence distances normalized by maximum persistence distance
mean value in each data set. H. 3-D cell speed of WT E006AA
human prostate cancer cells and E006AA cells depleted of either p130Cas or
zyxin. I. Lack of correlation between 3-D cell speed and 2-D
cell speed of WT, p130Cas-depleted, and zyxin-depleted E006AA cells. 2-D and
3-D cell speeds were normalized by the maximum mean value in each data set.
*** in panels B, C, E, F and H indicate p values <0.001 between the
type of cell considered and WT cells. The speed, persistence time, and
persistence distance of at least 35 cells were measured on three different
days for each condition. Bar graphs show mean and SEM values of three
independent experiments. Arrows point to the WT case.
Measurements of the persistent time and distance, which represent the time
and curvilinear length a cell travels before significantly deviating from a straight
trajectory in the matrix (e.g. Fig. 2A),
indicated that FA proteins regulate the persistence of migration of cells inside a
matrix (Fig. 2, E and F, and ST1, red box). However,
similar to cell speed, we found a complete absence of correlation between 2-D and
3-D persistence distances and times (Figs. 2,
E-G, S2 B, and
ST1).The striking absence of correlation between 2-D and 3-D motility suggests
that FA proteins regulate motility in a matrix in a manner fundamentally different
from planar cell motility. 2-D cell speed is controlled by the regulated
assembly/disassembly of FA complexes at the basal cellular surface, cell-matrix
adhesion or traction force, and the assembly and turnover of actin structures that
advance lamellipodium or filopodia protrusions at the cell’s leading edge,
but not by the rate of membrane protrusion 26-28. Moreover, there is no
correlation between the location of filopodial protrusions at the edge of the
lamella and the location of maximum traction17. Wild type cells inside a matrix featured neither wide lamella (Figs.
1E and 3A) nor classical FAs (Fig. 1), but
displayed long-lived (> 30 min) protrusions, typically much wider and longer
(>5 μm) than filopodia and much thinner than the lamella displayed by
cells on substrates, which we shall call pseudopodia. Smaller and thinner filipodia
were observed, but did not correlate with the formation of pseudopodia and cell
speed.
A. Typical time-dependent morphological changes of WT,
FAK-depleted and talin-depleted cells embedded in a 3-D matrix showing
actively growing protrusions (indicated by arrows). Scale bar, 10 μm.
B. Actin filament organization in WT, FAK-depleted and
talin-depleted cells in a 3-D matrix. Insets show cross-sectional view.
Scale bar, 10 μm. C. Averaged number of actively growing
protrusions per 90 min (i.e. protrusion activity) for matrix-embedded WT
cells and cells RNAi-depleted of major FA proteins. D.
Correlation function between 3-D cell speed and cellular protrusion
activity. Values are normalized by corresponding maximum mean values. Slope
evaluated from a linear fit of the data, R squared value, and p value of
correlation are indicated. E. Averaged lifetime of actively
growing protrusions. F. Averaged growth rate of individual
protrusions. G. Correlation between 3-D cell speed and growth
rate of protrusions. Values were normalized by maximum mean value in each
data set. H. Time-dependent angular distributions of actively
growing protrusions along the matrix-embedded cell periphery after 90 min,
3h, and 12 h. The largest protrusion at time 0 was arbitrarily taken as
being pointing in the 0 degree direction. I. Averaged number of
actively growing protrusions per 90 min for WT E006AA cells and E006AA cells
depleted of either p130Cas or zyxin. J. Correlation between 3-D
cell speed and protrusion activity for the cells characterized in panel I
and in Fig. 2H. *, **, and *** in
panels C, E, and I indicate p values <0.05, <0.01, and
<0.001, respectively, between the KD cells considered and WT cells
unless indicated. The pseudopodial protrusions of at least 35 cells were
characterized on three different days for each condition. Bar graphs show
mean and SEM values of three independent experiments.
To move within a crosslinked network of mesh size smaller than the cell and
its nucleus, cells in a matrix may exploit a different motility/traction
“module” from that used on substrates. In particular, pseudopodial
activity at the cellular periphery could constitute a critical component of the
module required to efficiently migrate and negotiate the dense collagen matrix. We
first asked whether FA protein depletion affected the number, lifetime, orientation,
rate of growth, and length of pseudopodial protrusions generated by 3-D
matrix-embedded cells (Fig. 3). With the
exception of zyxin, the depletion of FA proteins decreased the number of protrusive
processes generated per unit time (Fig. 3C).
Changes in 3-D cell speed correlated strongly with changes in the number and growth
rate of pseudopodial protrusions (Fig. 3, C-G
and ST1, red boxes). For
instance, similarly to their opposed effects on the regulation of 3-D cell speed,
p130Cas and zyxin regulated the rate of formation of membrane protrusions in
diametrically opposite ways (Fig. 3C).To assess the predictive power of protrusion activity in determining 3-D
cell speed, we compared the speed of α-actinin and vinculin KD cells,
estimated using the model in Fig. 3D, to direct
measurements of cell speed. We found that the measured speeds (red and green dots in
Fig. 3D) were predicted within <20%
error. The relevance of these findings to other cancer cell lines was verified with
E006AA humanprostate cancer cells (Fig. S1, I and J, 2, H and I,
3, I and J, and S3).FA proteins also influenced the lifetime (Fig.
3E) and length of protrusions (Figs. 3A and S4 A and
B), as well as the rate at which the direction of protrusions became
uniformly distributed (Fig. 3H). However,
lifetime and length did not correlate with 3-D cell speed or persistence of
migration (Fig. S4, C-F and
ST1). These results
indicate that extended, long-lived protrusions did not necessarily drive fast or
persistent migration in a 3-D matrix. Moreover, 2-D and 3-D cell speed did not
correlate with biophysical parameters that should not influence them. For instance,
3-D cell speed did not correlate with 2-D persistence time (ST1). Staining for F-actin in
WT cells showed regions of accumulation located mostly at the cell periphery, which
was not significantly affected by the depletion of FA proteins (Fig. 3B).Next we asked whether FA proteins influenced the magnitude and location of
the adhesive traction forces exerted by cells on the matrix. 3-D tracking of large
carboxylated beads tightly embedded in the matrix (Fig. 4, A-C) revealed that cells only pulled and did not push their
surrounding matrix (Fig. 4B). Despite their
lack of clustering within cells in 3-D matrix (Fig.
1E), VASP, talin, vinculin, p130Cas, and FAK, but not zyxin, contributed
to high traction forces—max bead displacement—on the surrounding
matrix (Fig. 4D). Apart from FAK and zyxin, FA
proteins individually did not significantly affect the mechanical character of the
matrix, which was typically much more elastic (fully reversible deformation) than
irreversible (Fig. 4F, where 0% corresponds to
a purely elastic deformation of the matrix and 100% corresponds to an irreversible
deformation). This result indicates that most FA proteins played no significant role
in matrix remodeling, defined here as the quantitative ratio of final-to-total
matrix deformation. Cell motility in the matrix was moderately correlated with
cell-mediated traction—max bead displacement—(Fig. 4E; ST1), but not with the total deformation of the matrix—total
distance travelled by beads—or the extent of matrix remodeling—percent
matrix deformation—(Fig.
S5, ST1).
Fig. 4
Regulation of 3-D cell-matrix interactions by FA proteins
A. Schematic of the method used for the measurements of local
matrix traction mediated by embedded cells, whereby large fiduciary beads
are tightly embedded in the matrix and are monitored by high-resolution 3-D
multiple-particle tracking. B. Typical movements of fiduciary
beads in the vicinity of a WT cell and cells depleted of talin and FAK, as
indicated. Left and right micrographs respectively show the initial and
final positions of the beads after 90 min. Arrows indicate the magnitude and
direction of the displacements of the matrix-bound beads, which were
magnified three times for ease of visualization. Scale bar, 10 μm.
C. Typical x, y, and z
displacements of an individual matrix-bound bead in the vicinity of a WT
cell in the 3-D matrix. D. Maximum displacements of the
fiduciary beads in the matrix (i.e. traction). E. Correlation
function between 3-D cell speed and the maximum bead displacement (i.e.
traction). Values were normalized by maximum mean value in each data set.
Slope evaluated from a linear fit of the data, R squared value, and p value
of the correlation are indicated. F. Percentage deformation
(i.e. matrix remodeling) calculated as the ratio of the final distance
between initial and final bead position and the total bead displacement.
This percentage is 0 when the matrix deformation is purely elastic and 100
when the matrix deformation is irreversible. See more details in the
Materials and Methods section. ** and *** in panels D and F indicate p
values <0.01 and <0.001, respectively, between the KD cell
considered and WT cells. The local matrix traction in the vicinity of at
least 5 cells (~30 beads per cell) was measured on three different
days for each condition. Bar graphs show mean and SEM values of three
independent experiments.
Matrix traction always occurred in the vicinity of an actively pulling
protrusion (data not shown). FA proteins could regulate matrix traction per
pseudopodium by modulating the adhesive strength of protrusions to collagen and the
connection between integrins and the actin network. However, the traction per
pseudopodium—max bead displacement per cell—did not significantly
correlate with cell speed (Fig.
S5E and ST1). We
conclude that the ability of FA proteins to regulate matrix traction stems mainly
from their differential ability to regulate the number of protrusions (Fig. 3C), but not the length or lifetime of
protrusions (Fig. S4 and
S2, C and D).Together these results suggest that to move and negotiate their matrix
environment, cells launch adhesive protrusion processes (Fig. 3), as often as possible, as opposed to producing
long-lasting, elongated extensions. Rather than producing matrix traction through a
single prolonged protrusion, cells generate multiple pseudopodial protrusions that
mediate motility by more effectively probing, then selecting, and pulling collagen
fibers in the cellular vicinity for a short time before generating another
protrusion to engage another fiber. A WT cell generates on average one major
protrusion before using a new protrusion to move in a new direction. Following a
relatively short-lived (compared to the time scale of migration) tug on a fiber, a
protrusion either releases the fiber or runs into a denser meshwork. The cell then
sends off new protrusions in new directions to explore paths of migration in the
matrix. Matrix-embedded cells establish a tightly regulated (low) number of major
protrusions, which is controlled by FA proteins: too few protrusions and the cell
cannot efficiently explore its surroundings, too many protrusions and the cell
cannot move because its protrusions pull in too many directions simultaneously. This
optimum number of protrusions lies between zero, for which cells would not be able
to move at all, and ≤ 2, a number above which cells would not be able to move
persistently. These results obtained in a matrix contrast with the small role played
by filopodia in controlling 2-D cell speed and persistence 17, 27, 29 with the central role played by FAs, which
mediate both adhesion to and traction onto the underlying substrate in conventional
planar migration 13, 30, 31. For
matrix-embedded cells, protrusion dynamics plays a central role in driving motility,
and organized FAs, if they exist, are too small and short-lived compared to the
length and lifetime of pseudopodia (~60 μm over 50 min; Fig. 3) or the amplitude and time scale
associated with matrix deformation (4 μm over 50 min; Fig. 4) to likely play a significant role.Moving cells from a hard 2-D substrate (i.e. glass) into a relatively soft
3-D matrix subjects cells to changes in dimensionality (2-D vs.
3-D) and extracellular mechanical compliance. To investigate whether we could
reproduce the 3-D cell motility phenotype in 2-D, we compared the speed of cells
placed on collagen I substrates (elasticity, >70 kPa) to that of cells placed
on substrates covered with a soft, lightly crosslinked polacrylamide gels coated
with collagen I (elasticity, 1 kPa). We found that FA proteins regulated cell speed
the same way on (hard) glass and on soft substrates (Fig. 5). This suggests that the regulation of cell speed by FAs in a 3-D
matrix is not primarily caused by the compliance of the matrix, but by the change in
geometry of the microenvironment. In conclusion, modulation of cell speed and
persistence on planar substrates by FA proteins, even compliant substrates, is not
predictive of their regulation of cell speed in a matrix, which highlights
limitations of traditional planar migration studies in understanding 3-D cell
motility and the role of FA proteins.
Fig. 5
Regulation of cell motility on compliant substrates by FA
proteins
A. Wild-type and zyxin-depleted cells on soft collagen-coated
bis-crosslinked polyacrylamide gels and stiff collagen-coated glass
substrates. Scale bar, 10 μm. B. Averaged cell speed of
wild-type and zyxin-depleted cells on collagen-coated glass
vs. soft substrates. ** and *** indicate p value
<0.01 and <0.001 respectively comparing cells on the softest
substrates to the same cells on glass. The speed of at least 35 cells were
measured on three different days for each condition. Bar graphs show mean
and SEM values of three independent experiments.
Figure S1. shRNA depletion of FA proteins in HT0180 and E006AA
cells. Western blots of fibrosarcomaHT1080 (A-H) or
prostate E006AA (I-K) cells infected with lentivirus expressing
the indicated shRNA (see methods for a list of shRNAs) directed against
indicated FA proteins, or mock infected, or infected with lentivirus
expressing a nonspecific shRNA against luciferase. Loading controls are
either α-tubulin or α-tubulin. A) Talin 1,2.
B) Vinculin. C) Paxillin. D) FAK.
E) α-actinin 1,4. In lane 3 is sh822 that did not
result in efficient knockdown and was not used further. Only sh1299 and
sh2287 were used to knockdown α-actinin in experiments.
F) P130Cas. G) VASP. In lane 5 cells were
transduced with a lentivirus that expressed both VASP sh444 and an
RNAi-resistant isoform of VASP (rrhVASP-FH), containing a Flag and His
epitope tag. Knockdown of endogenous VASP was rescued by co-transduction
with RNAi-resistant VASP. H) Zyxin and concurrent endogenous
Zyxin knockdown with sh756 and rescue with RNAi-resistant rrhZyxin-FH (right
panel). I) E006AA cells and Zyxin. J) E006AA cells
and P130Cas.Figure S2. Dependence of 3-D cell speed on β
1 integrin, and correlations between 2-D and 3-D persistent time
and protrusion number and growth rate. A. 3-D cell speed of
control HT-1080 cells, HT-1080 cells in the presence of an anti-β1
integrin function-blocking antibody, and HT-1080 cells in the presence of a
non-specific mouse IgG antibody. NS: P > 0.05. ***: P < 0.001.
Bar graphs show mean and SEM values of three independent experiments.
B. Absence of correlation between the persistence time of
HT-1080 cells placed on conventional 2-D collagen I-coated substrates and
cells placed inside 3-D collagen matrix. C and D. Correlation
function between the number of actively growing protrusions per 90 min per
cell and persistence distance during random cell motility (C) and between
the growth rate of protrusions and the persistence distance for HT-1080
cells inside a 3-D collagen matrix (D).Figure S3. Regulation of cell speed on a 2-D substrate by FA
proteins in E006AA cells. 2-D cell speed of WT E006AA humanprostate cancer cells and E006AA cells depleted of either p130Cas or zyxin
on collagen coated glass. Bar graphs show mean and SEM values of three
independent experiments.Figure S4. Regulation of length and lifetime of protrusions by
FA proteins. A and B. Maximum length and average protrusion
length of protrusions for various HT-1080 cells depleted of FA proteins.
C. Correlation function between 3-D cell speed and the
lifetime of protrusions. D-F. Correlations between (D) 3-D cell
speed and averaged protrusion length, (E) averaged protrusion length and 3-D
persistence distance, and (F) lifetime of protrusions and 3-D persistence
distance for HT-1080 cells inside a 3-D collagen matrix. Bar graphs show
mean and SEM values of three independent experiments.Figure S5. Correlation between cell motility in a 3-D matrix
and cell-matrix interaction parameters. A-E. Correlations between
(A) 3-D HT-1080 cell speed and total bead movement in the matrix (total
matrix deformation), (B) 3-D cell speed and % permanent matrix deformation
(matrix remodeling), (C) growth rate of protrusions and maximum bead
displacement (traction), (D) number of protrusions per 90 min per cell and
maximum bead displacement (traction), (E) 3-D cell speed and maximum bead
displacement per cell (traction per pseudopodia).Table ST1. Table of correlations among cell motility
parameters, protrusion dynamics parameters, and cell-matrix interaction
parameters. The three numbers in each box represent the slope of
a linear fit between the two parameters considered, the R squared value of
the fit, and the p value. Boxes in red show high statistical significance.
Cell motility parameters include: speed, persistence time, and persistence
distance of cells both on 2-D substrates and inside a 3-D matrix. Protrusion
dynamics parameters include: lifetime, length, maximum length, number of
protrusions per 90 min, and growth rate of individual protrusions.
Cell-matrix interaction parameters include: traction (averaged maximum bead
displacements), total matrix deformation (averaged total bead movement),
matrix remodeling (percent permanent matrix deformation), and traction per
pseudopodia (averaged maximum bead displacements per cell). A strong
correlation is defined as having slope ≥ 0.80 and R2
≥ 0.70 and p ≤ 0.009.
Authors: Anne J Ridley; Martin A Schwartz; Keith Burridge; Richard A Firtel; Mark H Ginsberg; Gary Borisy; J Thomas Parsons; Alan Rick Horwitz Journal: Science Date: 2003-12-05 Impact factor: 47.728
Authors: Donna J Webb; Karen Donais; Leanna A Whitmore; Sheila M Thomas; Christopher E Turner; J Thomas Parsons; Alan F Horwitz Journal: Nat Cell Biol Date: 2004-01-25 Impact factor: 28.824
Authors: D Riveline; E Zamir; N Q Balaban; U S Schwarz; T Ishizaki; S Narumiya; Z Kam; B Geiger; A D Bershadsky Journal: J Cell Biol Date: 2001-06-11 Impact factor: 10.539
Authors: Katarina Wolf; Irina Mazo; Harry Leung; Katharina Engelke; Ulrich H von Andrian; Elena I Deryugina; Alex Y Strongin; Eva-B Bröcker; Peter Friedl Journal: J Cell Biol Date: 2003-01-13 Impact factor: 10.539
Authors: S K Ranamukhaarachchi; R N Modi; A Han; D O Velez; A Kumar; A J Engler; S I Fraley Journal: Biomater Sci Date: 2019-01-29 Impact factor: 6.843
Authors: Cheng-han Yu; Jaslyn Bee Khuan Law; Mona Suryana; Hong Yee Low; Michael P Sheetz Journal: Proc Natl Acad Sci U S A Date: 2011-12-02 Impact factor: 11.205