Katarina
Matic‡
a,
Nimisha
Krishnan‡
b,
Eric
Frank
b,
Michael
Arellano
a,
Aditya
Sriram
a,
Moumita
Das
c,
Megan T.
Valentine
d,
Michael J.
Rust
e,
Rae M.
Robertson-Anderson
*a and
Jennifer L.
Ross
*b
aDepartment of Physics and Biophysics, University of San Diego, USA. E-mail: randerson@sandiego.edu
bDepartment of Physics, Syracuse University, USA. E-mail: jlr@syr.edu
cRochester Institute of Technology, School of Physics and Astronomy, USA
dDepartment of Mechanical Engineering, University of California, Santa Barbara, USA
eDepartment of Molecular Genetics and Cell Biology, University of Chicago, USA
First published on 17th April 2025
Incorporating cells within active biomaterial scaffolds is a promising strategy to develop forefront materials that can autonomously sense, respond, and alter the scaffold in response to environmental cues or internal cell circuitry. Using dynamic biocompatible scaffolds that can self-alter their properties via crosslinking and motor-driven force-generation opens even greater avenues for actuation and control. However, the design principles associated with engineering active scaffolds embedded with cells are not well established. To address this challenge, we design a dynamic scaffold material of bacteria cells embedded within a composite cytoskeletal network of actin and microtubules that can be passively or actively crosslinked by either biotin–streptavidin or multimeric kinesin motors. Using quantitative microscopy, we demonstrate the ability to embed cells of volume fractions 0.4–2% throughout the network without compromising the structural integrity of the network or inhibiting crosslinking or motor-driven dynamics. Our findings suggest that both passive and active crosslinking promote entrainment of cells within the network, while depletion interactions play a more important role in uncrosslinked networks. Moreover, we show that large-scale structures emerge with the addition of cell fractions as low as 0.4%, but these structures do not influence the microscale structural length scale of the materials. Our work highlights the potential of our composite biomaterial in designing autonomous materials controlled by cells, and provides a roadmap for effectively coupling cells to complex composite materials with an eye towards using cells as in situ factories to program material modifications.
One particularly intriguing scaffold for this goal is the cytoskeleton, comprising stiff microtubules, semiflexible actin filaments, and flexible intermediate filaments. It has been clear for decades that the cytoskeleton gives the cell shape, mechanical resilience, and adaptability as the individual components can organize and reorganize in space and time on the fly. More recently, in vitro reconstitution of composites of different cytoskeletal filaments, such as actin and microtubules, have revealed desirable emergent mechanical and structural properties that are distinct from those of single-component networks.11–17 For example, passive actin-microtubule networks have been shown to exhibit increased mechanical resistance compared to actin networks as well as reduced local buckling and heterogeneity compared to microtubule networks.11,18 Myosin-driven actin-microtubule composites have also been shown to exhibit more organized and tunable contractility compared to actomyosin networks without microtubules.19,20 These studies and several others have now well characterized actin-microtubule composites11–15,21–27 including the effects of adding passive crosslinkers that alter the viscoelastic properties, and active crosslinking motors, including myosin and kinesin, to generate forces and restructure the composites.16,19,20,28–30 Moreover, studies have shown that these active elements can be externally triggered to change the composite organization, offering enhanced spatiotemporal control over activity and insights into how energy-consuming or catalytically-active systems couple to the mechanical systems.19,31,32
The state-of-the art for introducing external stimuli in cytoskeletal networks is via light activation19,31,32 which has allowed for triggered changes in activity and structure,32,33 but ultimately, it would be desirable to couple these mechanochemical systems to an internal trigger that can be both generated and controlled within the material itself. As discussed above, a promising route to achieve such internal signaling is through the use of synthetic biology approaches to engineer bacteria capable of manufacturing and producing network modulating compounds.34–37 A first step toward the broad goal of using bacteria to trigger changes to cytoskeletal structure and mechanics is understanding how to design and formulate composite materials consisting of bacteria and cytoskeletal proteins to ensure that cells can be uniformly dispersed, and the surrounding network can maintain its structural and dynamic properties.
Here, we characterize the effects of incorporating E. coli bacteria cells into interpenetrating networks of actin and microtubules. We find that cells at volume fractions of 0.4–2% are able to be well-integrated in the cytoskeleton scaffolds without loss of network integrity or significant alterations to mesh size. Moreover, we show that crosslinking microtubules, either with passive biotin–NeutrAvidin bonds or active tetrameric kinesin complexes, promotes entrainment of the cells by the network. This effect is evidenced by increased colocalization of cells and filaments as well as active dynamics of cells that mirror those of the network. Finally, we reveal that the presence of even the lowest cell fraction, leads to large-scale network remodeling, but this effect does not influence or undermine the network connectivity and structural uniformity on smaller length scales.
To achieve specific cell volume fractions, ϕc = 0.004, 0.008, 0.015, 0.023 in the networks, we reconstituted the cell pellets in varying volumes of LB, which we empirically determined from images. Specifically, to determine the necessary volume of LB to achieve the target ϕc, we manually counted the number of cells nc across multiple images obtained by confocal microscopy of cell culture solution with the same initial cell volume (see Sections 2.2 and 2.3 for sample preparation and imaging details). We determined the volume represented by each image in which we counted cells as VI = 212 μm × 212 μm × 0.5 μm = 2.25 × 104 μm3 where 0.5 μm is the z-depth of each image. By analyzing the same images, we estimated the volume of a single cell to be Vc ≈ 1.4 μm3 (Fig. S1, ESI†). We determined the volume fraction as ϕc = ncVc/VI and used this expression to calibrate the relative dilutions. We stored resuspended cells at −20 °C in single-use aliquots prior to use in composite material preparation.
For networks with passive crosslinkers, we added biotin–NeutrAvidin complexes to the mixture prior to polymerization,38 which we carried out in the experimental sample chamber (see below). For networks with active crosslinkers (kinesin), because kinesin activity starts immediately upon adding to the network, we added kinesin clusters and an additional 9 mM ATP following polymerization, which we carried out in a centrifuge tube immediately prior to loading into the sample chamber and imaging. The total ATP concentrations of 10 mM ATP for kinesin-driven composites and 1 mM for inactive composites were chosen based on our previous work.11,38,39 We also prepared composites with kinesin but without adding additional ATP, to suppress motor activity. These samples still included 1 mM ATP, required for actin polymerization; and as with other samples, we imaged immediately after adding kinesin to capture any rearrangement that residual ATP might cause in the system.
For experiments, we introduced the sample by capillary flow into a chamber consisting of a glass coverslip and microscope slide separated by 500 μm by parafilm spacer and sealed with UV-curable glue. To passivate the chamber walls to prevent non-specific absorption of proteins or cells, we incubated the sample chamber with 150 mM BSA in PEM-100 for 10 minutes, used compressed air to force out the BSA solution and fully dried the chamber prior to inserting the sample.
For low magnification imaging, we used a Nikon Ti-eclipse microscope with a Yokogawa CSU-W1 spinning disk confocal attachment, Plan Apo λ 10× objective, and Andor Zyla CMOS camera to collect 2D images. We collected time-series of images of size 2048 × 2048 pixel2 (1331 × 1331 μm2) with a 200 ms exposure time per frame, 30 second interval between frames, and a total time of 30 min (61 frames). We simultaneously recorded separate images for cells (488 nm), actin (561 nm), and microtubules (647 nm), using 488 nm, 561 nm, and 640 nm laser lines and 520 nm, 593 nm and 670 nm emission filters. Information on replicates and samples sizes can be found in ESI,† Table S1.
![]() | (1) |
y = Ξs![]() ![]() | (2) |
![]() | (3) |
Colocalization between cells and filaments is assessed by multiplying the rescaled images of the corresponding channels to achieve colocalization images for actin and microtubules, Cc,A(x,y) = Ĩc(x,y) × ĨA(x,y) and Cc,M(x,y) = Ĩc(x,y) × ĨM(x,y).
Colocalized images Cc,f(x,y), where f = A or M, are rescaled by their respective global minimum and maximum Cc,f,min and Cc,f,max, similarly to the original images, via
![]() | (4) |
The resulting colocalization image has values that range between 0 and 1. To determine a single global colocalization parameter for each image, we compute the average across all pixel values 〈c,f(x,y)〉 where 〈
c,f(x,y)〉 = 0 and 〈
c,f(x,y)〉 = 1 indicate minimum colocalization and maximum colocalization, respectively.
To determine the type and rate of motion, we fit each MSD to the power-law function MSD(τ) = Kτα where α is the anomalous scaling exponent and K is the generalized transport coefficient. For normal Brownian motion, α = 1 and K = 2D where D is the diffusion coefficient. For ballistic motion, α = 2 and K = v where v is the speed. Subdiffusive and superdiffusive motion is characterized by α < 1 and 1 < α < 2, respectively.
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Fig. 2 Embedding cells in cytoskeleton networks causes structural changes at mesoscopic scales. (A) Images of composite networks with bacteria at ϕc = 0.004 for (i) uncrosslinked and (ii) passively crosslinked composites where each shows the microtubule (left), actin (center) and cell (right) channels. (B) Structural quantification is determined using spatial image autocorrelation to determine the autocorrelation function g(r) for (i) uncrosslinked and (ii) passively crosslinked networks. For each, the plot is shown on a log-linear scale, with insets showing the same data plotted on a linear-linear scale. Lines show fits of the data to a sum of two exponentials (eqn (2)). (C) The long, ξl (filled symbols) and short ξs (open symbols) characteristic length scales determined from the fits to g(r) and plotted as a function of cell volume fraction, ϕc for uncrosslinked (blue symbols) and crosslinked (magenta symbols) networks for (i) microtubules, (ii) actin, and (iii) bacteria cells. (D) The ratio of the long length scale coefficient (weight), Ξl, over the sum of the coefficients, (Ξl + Ξs), determined from the fits to g(r) and plotted as a function of ϕc for uncrosslinked (blue symbols) and crosslinked (magenta symbols) networks for (i) microtubules, (ii) actin, and (iii) bacteria cells. N values for all datasets can be found in ESI,† Table S1 and error bars represent standard error. |
We find that actin and microtubules have similar short length scales of ξs ≈ 0.5–2 μm which are insensitive to cell concentration and crosslinking (Fig. 2Ci and ii). This length scale is also comparable the network mesh size of ∼0.75 μm. The larger length scales for actin and microtubules are also similar between uncrosslinked and crosslinked networks, but do display some dependence on cell volume fraction and filament type. Specifically, both actin and microtubules have ξl ≈ 1–3 μm in the absence of cells, but the addition of even the lowest cell density increases ξl for actin to ∼6 μm (Fig. 2Cii). More modest dependence is seen for microtubules, without a clear trend with cell density (Fig. 2Ci).
Turning to the structural properties of the cells, we find that cells also exhibit two characteristic length scales with the shorter being ξs ≈ 1 μm for both crosslinked and uncrosslinked networks across all cell densities, similar to the filament networks (Fig. 2Ciii). This smaller length scale may be characteristic of the size of the cells themselves (~2.5 μm × 0.8 μm) (Fig. 2Ciii). In contrast to the filaments, the long length scales for the cells have a strong dependence on filament crosslinking. Specifically, for uncrosslinked networks, ξl ≈ 6 μm for all cell densities, comparable to ξl for actin. However, crosslinking increases ξl to ∼10–15 μm, substantially larger than any other length scales measured in the composites. We interpret ξl for cells as characterizing the spacing between the bacteria cells. While SIA is unable to detect clusters of cells that we observe visually, due to the relatively low frequency of these events, we expect this clustering to result in larger average spacing between cells which are in different clusters.
To determine the relative significance of the two length scales for each condition, we evaluate the coefficient associated with the corresponding exponential term, Ξl and Ξs (see Methods). These coefficients are measures of the contribution of each length scale to the network structure, which we quantify by computing the relative weight of the long length scale, Ξl/(Ξl + Ξs) (Fig. 2D). This quantity can range from 0 to 1 for composites in which the short or long length scale, respectively, dominates the structure.
For the microtubules and actin, the long length scale has higher weighting when no cells are present (Fig. 2Di and ii), and the addition of even a small volume fraction of cells is enough to significantly reduce this weighting (Fig. 2Di and ii) (Fig. 2Di and ii, magenta). This result, along with the increase in ξl upon addition of cells, suggests that cells may cause small scale bundling of filaments, likely due to entropic depletion interactions between cells and filaments. Namely, cells have an entropic drive to increase their available volume by bundling and/or aggregating the filaments, which reduces the volume between the filaments that is excluded from the cells.47–49 Indeed, aggregation and bundling of larger polymers or filaments crowded by smaller colloidal particles or polymers have been widely attributed to depletion interactions.45,48,50,51 This depletion-driven bundling would increase ξl by increasing the large-scale spacing between bundled structures (i.e., more filaments per bundle result in larger distances between bundles). At the same time, there would be fewer individual fibers (bundles) contributing to the signal so the relative weighting is lower. We explore the role of depletion interactions in composites further below.
Unlike for the filaments, in which the large length scale dominates the structure (i.e., Ξl/(Ξl + Ξs) > 0.5) at low cell densities (<0.01), the relative weighting of the large length scale for cells is <0.2 for all conditions (Fig. 2Diii), demonstrating that the organization of the cells is dominated by the short length scales. This result suggests that cell clusters that contribute to the large length scales are few and far between, and the majority of cells are individually dispersed throughout the composite.
In all cases, the SIA analysis shows that, despite the images looking similar (Fig. S2 and S3, ESI†) even a very low concentration of bacteria cells in the network is sufficient to elicit quantitative structural effects at mesoscopic scales (i.e., several times the mesh size and cell size, ξl) while maintaining similar microscopic structure (i.e., ξs).
This scale-dependent impact of cells on composite structure motivated us to examine composites at much larger length scales to determine if the structural effects of cells are amplified further at these scales. Inspecting images of composites without crosslinkers that span ∼6× larger length scales, we observe that filaments and cells form large-scale patterns not evident at high-magnification, even at the lowest cell volume fractions (Fig. 3A, Fig. S4 and S5, ESI†). To examine the impact of crosslinking at these length scales we replace passive biotin–NeutrAvidin with a well-characterized multimeric kinesin construct that crosslinks microtubules and enables enzymatically-active remodeling of the network (Fig. 1A).52 This also allowed us to observe dynamic restructuring that these active crosslinkers caused over time, which were not evident at high magnification (Fig. 3A, Fig. S4 and S5, ESI†).
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Fig. 3 Cells influence the large-scale network structure differently in uncrosslinked versus actively crosslinked composites. (A) Images of composites with active crosslinkers and ϕc = 0.015, showing the microtubule (left), actin (center) and cell (right) channels. (B) Autocorrelation curves g(r) (symbols) and corresponding fits of the data to eqn (1) and (2) (lines), shown on log-linear and linear-linear (insets). (C) The characteristic long and short length scales ξl (filled symbols) and ξs (open symbols), determined from the fits and plotted as function of ϕc, are shown for the uncrosslinked (blue symbols) and crosslinked (magenta symbols) networks for (i) microtubules, (ii) actin, and (iii) bacteria cells. (D) Quantification of the coefficients Ξl and Ξs determined from the fits to g(r) for uncrosslinked networks (blue symbols) and actively crosslinked networks (magenta symbols), plotted as the ratio of the long length scale coefficient, Ξl, over the sum of the coefficients, (Ξl + Ξs). (i) For microtubules, most of the data was best fit to a single exponential, with a single coefficient Ξl, such that ![]() ![]() |
Using the same SIA analysis approach described above we examine both actively crosslinked networks and uncrosslinked networks (Fig. 3B). To facilitate comparison of our actively crosslinked composite results to the passively crosslinked cases, we restrict our analysis to the first frame of each time-series as there could be active restructuring from residual ATP.
Similar to the high magnification data, we find that a sum of two exponentials fits most of the data well. The exception is microtubules in actively crosslinked networks (Fig. 3Ci, blue) and in uncrosslinked networks at higher cell concentrations (Fig. 3Ci, magenta). For all cases in which the data displays two length scales, the shorter length scales are ξs ≈ 1–3 μm for both filaments (Fig. 3Ci and ii) and ξs ≈ 1 μm for cells (Fig. 3Ciii), similar to those measured at high magnification. We interpret this length scale as a measure of the size of the network mesh and an individual cell, respectively. Conversely, the larger length scales for both filaments and cells are substantially larger than their high magnification values, with values of ξl ≈ 10–30 μm (Fig. 3Ci and ii, solid). This effect may reflect the sensitivity of SIA to the finite size of the imaged field of view, with lower magnification imaging providing access to larger structures and reduced measurement noise from more statistics. While high magnification images may be more sensitive to small-scale clustering or structures, captured by ξl, low magnification imaging can better capture large scale structures, also captured by ξl.
For both filament types, we find that uncrosslinked networks display the largest ξl values in the absence of cells and this value decreases to an approximately constant value of ξl ≈ 15 μm as the cell density increases beyond ϕc ≈ 0.005 (Fig. 3Cii, solid magenta). Interestingly, actively crosslinked networks are also sensitive to the cell volume fraction, but with an opposite trend. Without cells, the long length scale is significantly smaller than for the uncrosslinked composite, ξl ≈ 10 μm for both filament types, but increases to a plateau value similar to that of the uncrosslinked case. In the presence of cells at ϕc > 0.005, the effect of crosslinking becomes negligible for all cases. Without cells, we may expect the smaller ξl for actively crosslinked networks to arise from bundling of filaments into local dense regions, whereas without crosslinkers, filaments can form large amorphous regions of entangled filaments that are locally homogeneous, and ξl may reflect the size of these regions. Adding cells to the networks can lead to more pronounced bundling of uncrosslinked networks which are freer to move and rearrange compared to crosslinked networks in response to entropic depletion forces from the cells. The observations that the effect of cells on actin filaments is larger than for microtubules and the colocalization between cells and microtubules is stronger than for actin support this conjecture as actin filaments are more flexible and can more readily rearrange in response to entropic forces. The same entropically-driven depletion forces could serve to have the opposite effect on actively crosslinked networks, driving small-scale crosslinked bundles to cluster and form larger bundles and structures, thereby increasing ξl.
Examining the large structural length scales for cells (Fig. 3Ciii) we find that, similar to high magnification, ξl values for crosslinked composites are generally larger than for uncrosslinked composites, but this difference is reduced compared to the high magnification case and is only significant at cell volume fractions above ∼0.01. Unlike the passively crosslinked networks, however, the longer length scale of the cells embedded in actively crosslinked networks appears to increase with increasing cell concentration. This trend is consistent with the relative insensitivity of ξl on cell density above ϕc > 0.005 for both filaments. As more cells are added to the networks, they have little impact on the network structure, but instead lead to growing clusters of cells.
As in Fig. 2D, we also quantify the relative coefficients of the fit terms to determine the relative importance of the long and short characteristic length scales to the composite structure (Fig. 3D). For the microtubule conditions in which the data was better fit by a single exponential with a length scale comparable to the other measured ξl values, the relative coefficient is (Ξs = 0) (Fig. 3Di), implying that the structure is nearly completely dominated by large scale organization. Conversely, for microtubules in uncrosslinked networks at low cell densities (above ϕc < 0.01), the contribution from the large length scale is quite low, at Ξl/(Ξl + Ξs) ≈ 0.2, suggesting low formation of large-scale structures.
For actin, we find that for both crosslinked and uncrosslinked networks, the relative weighting for the long length scale was ∼0.5, indicating that the short and long length scales contribute equally to the structure of the actin network in the composites (Fig. 3Dii). Moreover, Ξl/(Ξl + Ξs) is relatively insensitive to cell concentration. These results are quite distinct from the high magnification trends for Ξl in which the weighting transitions from high values (>0.5) to low values (<0.5) with the addition of cells (Fig. 2D); and suggest that the large-scale structure of actin is relatively decoupled from the restructuring of microtubules and cells.
The weighting analysis for cells shows that at low cell concentrations, the organization of cells is dominated by the short structural length scale, since the long length scale weighting is ∼0.2 (Fig. 3Diii, blue), suggesting that the cells are mostly dispersed single cells embedded in the network. Indeed, this appears to be the case from inspection (Fig. S5, ESI†). For the uncrosslinked network, the long length scale begins to dominate the structure for ϕc > 0.01 (Fig. 3Diii, magenta), in opposition to the high magnification case in which the weighting is reduced at higher ϕc. These results suggest that clumping or other organization of cells becomes important at higher cell volume fractions, but because of their large size, their contribution to the high magnification structure is reduced while it is increased in low magnification images. Importantly, this increased weighting of the large length scale is not observed in crosslinked composites which maintain Ξl/(Ξl + Ξs) ≈ 0.1 for all cell densities. This result is important because it shows that the cells only stay well separated when the composite is crosslinked, implying that crosslinking of the composite is likely necessary to keep the cells embedded and homogeneously separated within the network. This finding will also aid future studies planning to use the bacteria to control the network connectivity, organization, and mechanics.
Overall, the composite cytoskeleton of microtubules and actin combined with bacteria cells were generally able to create a network that could embed and separate bacteria cells over 2% of the volume fraction. Surprisingly, the bacteria cells had some effects on the network both at small and large scales, even at very low cell volume fractions, 0.004 and 0.008. For both the organization of the network and the cells, crosslinking appeared to help maintain the organization as more cells were added, although structural changes to the filaments were still observed for cell concentrations above 1%.
Taken together, our results demonstrate that we are able to successfully generate composite scaffolds of microtubules and actin that when combined with bacteria cells demonstrate good mixing and maintain relatively uniform distributions up to cell volume fractions of ~2%. Upon careful inspection, we identified modest effects in network structure that were length scale dependent and evident even at very low cell volume fractions (<1%). However, we do not observe any obvious aggregation, demixing, or other phase separation behaviors that would undermine the mechanical resiliency or performance of the material.
As we discuss above, the length scale dependent remodeling we observe is consistent with entropically-driven depletion interactions, which have previously been shown to result in bundling of cytoskeleton networks.48,53,54 However, many of these studies use much higher volume fractions of inclusions to induce bundling. Prior works that included similarly small volumes of micron-scale inert beads for mechanical measurements have not reported restructuring effects for similar cytoskeletal composite networks.11,13,18,43,44 However, there are reports of local depletion of polymer filaments near surfaces, particularly for semiflexible and rigid filaments, such as actin and microtubules, due to ‘self-depletion’ effects, which arise from surface-induced steric constraints.55 The length scale over which these effects appear correlates to the filament length, with depletion zones up to ∼35 μm reported in measurements of actin near planar glass surfaces.55 Such depletion effects have also been observed through microrheology measurements, particularly when the filament length is similar to the diameter of the colloidal particle.56 In this limit, a local softening of the network rheology is observed due to the local reduction in polymer concentration near the particle surface. However, the lengths of our filaments are ∼5–10 μm, several times larger than the cell length, so it is unlikely this excluded volume effect plays an important role. As we conjecture above, it is more likely that the differences we observe in the long length scale arise from changes in filament bundling, which could further exacerbate the steric constraints at the cell surface. Bundling may also arise from low level of kinesin activity in the presence of the residual amount of ATP or from changes in network mobility due to crosslinking, both of which could create local heterogeneities.
Alternatively, we cannot rule out the possibility that the bacteria are inducing these changes due to non-steric mechanisms. For example, they have non-motile flagella, which are filaments projecting from their surfaces that allow them to adhere to surfaces, and have surface patterns of charge and hydrophobic groups, which could result in non-steric filament interactions.57
To quantify the interaction between the filaments and the cells, we perform quantitative colocalization analysis of the images, comparing the cell fluorescence channel with that of each type of cytoskeletal filament, as described in Methods Section 2.4.2 (Fig. 4). Specifically, we calculate a unique colocalization metric for each filament type, CA and CM, in each condition and at each magnification. This metric can range between 0 and 1 for complete separation or maximal observed colocalization between filaments and cells, respectively.
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Fig. 4 Colocalization of cytoskeletal filaments with bacteria cells is enhanced by crosslinking. (A) Colocalization analysis method example. (i) Example images at low magnification for microtubules (left), actin (middle), and cells (right) without any crosslinker at ϕc = 0.023. Scale bar is 100 μm and applies to all images. (ii) Colocalization images for microtubules interacting with cells (left) and actin interacting with cells (right) using the same images as in (i). The color look-up table shows the range of values of co-localization metrics CA and CM from 0 (blue) to 1 (red). Scale bar is 100 μm and applies to all images. (B) Example colocalization images for different network compositions and magnifications: (i) uncrosslinked networks at high magnification, (ii) passively crosslinked networks at high magnification, and (iii) actively crosslinked networks at low magnification. The top and bottom rows show microtubule-cell colocalization CM and actin-cell colocalization CA, respectively. (C) Quantification of colocalization metrics for microtubules (a) and actin (b), averaged over multiple images and chambers for various cell volume fractions imaged at (i) high and (ii) low magnification. Each plot shows data for uncrosslinked (blue filled circles) and crosslinked (pink filled circles) networks. Crosslinkers are either passive (i) or active (ii). N values for all datasets can be found in ESI,† Table S1 and error bars represent standard error of the mean. |
Examining these colocalization metrics (Fig. 4A and B), we found qualitative and quantitative differences for crosslinked composites compared to uncrosslinked composites at both magnifications (Fig. 4B and C). At high magnification, the colocalization of bacteria with microtubules or actin was low and insensitive to cell concentration for uncrosslinked networks (Fig. 4Ci, magenta). Crosslinking caused a significant increase in this colocalization and adding more cells caused a further increase in the colocalization (Fig. 4Ci, blue). These results suggest that depletion effects may be more significant in uncrosslinked networks, as we conjectured in the previous section, whereas crosslinking promotes entrainment of cells within networks. This physical picture is consistent with the fact that the large length scale for cells is significantly larger in crosslinked networks than in uncrosslinked networks (Fig. 2Ciii) as they are able to more easily spread into the space occupied by the network.
Similar to our high magnification results, at low magnification we observe enhanced colocalization between microtubules and cells in crosslinked networks compared to uncrosslinked networks, but only at higher cell concentrations (ϕc > 0.01) (Fig. 4Ciia). This higher cell concentration for the onset of enhanced colocalization makes sense considering the larger length scales over which colocalization must occur to be captured at lower magnification. Conversely, actin and cells appear to be only modestly colocalized at low magnification for both network types and all cell concentrations (Fig. 4Ciib). This result indicates that cells are interacting more strongly with microtubules than actin, which aligns with the increased colocalization with crosslinking we observe, as it is the microtubules in the network that are crosslinked, and it is this crosslinking that likely ‘cages’ and entrains the cells (Fig. 4Biii and Cii). We expect the nature of these interactions to be primarily steric, and facilitated by the reduced mobility and flexibility of microtubules compared to actin filaments, which can more easily move and bend to segregate from cells.
For this analysis, we focus on low magnification images to maximize our observed field of view. At high magnification, it is difficult to determine the boundaries of any larger regions, which often appear to be larger than the observed field, and all filaments within the volume appear to be largely isotropically entangled, even in the case of passively crosslinked networks (Fig. S2 and S3, ESI†). However, at low magnification, structures on a larger scale can be observed for both uncrosslinked and crosslinked networks and appear to be amplified by increasing amounts of bacteria (Fig. 5A). Importantly, in the absence of bacteria (ϕc = 0), we observe no large-scale structures. The uncrosslinked networks are homogeneous and isotropic, and the addition of active crosslinkers creates local punctate structures that are homogeneously distributed across the field of view (Fig. 5A, left).
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Fig. 5 Characterization of large-scale structures in cell-cytoskeleton composites. (A) (i) Example images of microtubules in uncrosslinked (top row) and actively crosslinked (bottom row) composite networks with increasing cell volume fraction (listed above each image). Images are characterized as homogeneous (green border) or structured (violet border). (ii) This classification is displayed as color blocks that represent the organization in each condition, with the results of individual samples for each condition displayed within the corresponding block. (B) Characterization of the area of structured domains. (i) Example image of microtubules in an actively crosslinked network at ϕc = 0.008, with the structured region outlined in violet. (ii) and (iii) Quantification of the areas of structured domains for uncrosslinked (ii) and actively crosslinked (iii) networks as a function of ϕc. The circles are areas measured for each image and the horizontal lines denote the average. N values for all datasets can be found in ESI† Table S1 and error bars denote standard error. |
When bacteria are added, we observe the formation of large-scale structures for both uncrosslinked and actively crosslinked networks, even at the lowest cell density (ϕc = 0.004) (Fig. 5A, violet box). Active crosslinking appears to modestly enhance this effect (Fig. 5A). To more quantitatively assess the formation of large-scale structures, we measured the fractional areas of the structured regions within the networks (see Methods), which span the entire imaging area in some cases (Fig. 5Bi). Any areas that appeared to be homogeneous and unstructured were not included in the fractional area assessment. As observed qualitatively, the addition of cells at any concentration created structured domains with and without crosslinkers (Fig. 5Bii). This effect is more robust across cell densities when crosslinkers are added, with many of the networks showing that >80% of the imaging area is in a structured region (Fig. 5Biii). This result is consistent with the increased colocalization we observe in crosslinked networks (Fig. 4). Cells that are better integrated into the network may have a more pronounced effect on the structure of the filament-rich domains.
We observed large scale changes of both the network and the bacteria cells that are entrained in the network, which we characterize with a temporal overlay where each frame over 30 minutes is a different color. As seen in the representative colormap (Fig. 6A), the networks move unidirectionally and the cells clearly move with the networks. To quantify the motion of the actin, microtubules, and cells in the networks we use optical flow to generate velocity vector fields and compute average speeds for each component, as described in the Methods.69 We find that both cytoskeletal components and cells move with the same speed, which is roughly constant for all cell volume fractions at ∼20 nm s−1 (Fig. 6B). This result demonstrates that cells are indeed entrained in the network and can couple to the active motion of the filaments.
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Fig. 6 Cells couple to the active dynamics of the cytoskeletal composites. (A) Example of composite motion over time using color overlay showing microtubules (left), actin (middle), and cells (right) at ϕc = 0.015. Different points in time (frames) are denoted by different colors according to the color scale shown that ranges from 0 min (black) to 30 min (white). Scale bar is 200 μm and applies to both images, which are cropped from the upper-right quarter of the original image. (B) Images are analyzed using optical flow to compute average speed as function of ϕc for microtubules (orange filled circles), actin (open red triangles), and cells (half-filled red squares) in a composite with active crosslinkers. (C) Bacteria cell motion is characterized by particle tracking. (i) Example trajectories of bacteria and (ii) mean-squared displacement MSD versus lag time τ for the movie shown in (A). (iii) Anomalous exponent α from fits of MSDs to the equation shown in (ii) plotted as a function of cell volume fraction for active composites. (iv) The generalized transport coefficient K from fits of MSDs to the equation shown in (ii) plotted as a function of cell volume fraction for active composites. N values for all dataset can be found in ESI,† Table S1 and error bars denote standard error. |
Optical flow assumes ballistic motion between frame intervals, an assumption that may not be accurate for the cells that likely have contributions from thermal fluctuations in addition to being entrained with the actively moving filaments. To more accurately characterize the motion of the cells, we use particle-tracking algorithms (see Methods) to track the trajectories of the cells, which are bright punctate objects ideal for particle-tracking (Fig. 6Ci). For each condition, we compute the mean squared displacement (MSD) of the ensemble of tracked cells as a function of lag time τ (Fig. 6Cii). As described in Methods, we fit each MSD to a power-law function MSD = Kτα, where K is the generalized transport coefficient and α is the anomalous exponent. For normal Brownian motion, α = 1 and K = 2D where D is the diffusion coefficient. For ballistic motion, α = 2 and K = v2 where v is the speed. Superdiffusive motion is characterized by 1 < α < 2.
We find that cells exhibit superdiffusive dynamics across all cell densities, similar to previous reports of colloid dynamics in active cytoskeleton composites.29,31 However, at the highest cell fraction, the scaling exponent drops from α ≈ 1.4 to ∼1.1, which is close to the exponent expected for purely diffusive behavior (Fig. 6Ciii). This effect may indicate that as the cell volume fraction becomes too high, many of the cells are excluded from the network, rather than being entrained, so the dynamics are largely from diffusive dynamics of the cells that are decoupled from the active network. Similarly, the generalized mobility constant, K, also depends on the cell volume fraction, with lower cell densities having a lower K value than the highest cell volume fraction (Fig. 6Civ). This may seem counterintuitive and opposite from what is observed in optical flow, but the units of K depend on α. The shift in the values of K indicate, in part, a change from more ballistic to more diffusive behavior, where the units for the diffusion coefficient are μm2 s−1, and the units for K for ballistic motion are the same as squared-speed, μm2 s−2. Moreover, we measure an average value of K ≈ 0.04 μm2 s−α which equates to v ≈ 20 nm s−1 for ballistic motion (α = 2), consistent with our optical flow results (Fig. 6B).
A particularly surprising result of our study is that even very low cell volume fractions, as low as 0.4%, can cause structural changes to the network which are amplified at larger length scales. Importantly, these rearrangements do not appear to affect the ability of the cells to be embedded or entrained in the networks, or the mesh size of the network. While crowding and depletion-driven restructuring of polymer networks by inclusions is a well-known mechanism for bundling of polymers, reminiscent of our results, these effects are typically observed at much higher volume fractions of crowders. Possible sources of this distinction may be the anisotropic shape and inhomogeneous surface properties of the cells, which could contribute to the length scale-dependent re-organization of the networks.40,70–73 Regardless of the mechanism, our study provides a blueprint for effectively coupling cells to complex composite materials, laying the foundation for the use of cells as in situ factories that can trigger programmable structural and mechanical changes of materials.
Our future work will focus on delineating the roles of steric depletion-driven interactions and the unique biochemistry of bacteria cells to the results we observe. Specifically, we will perform experiments in which we replace cells with similarly-sized microspheres and rods with different charge profiles and polymer coatings. We will also explore the impact of cell motility and growth on scaffold stability and cell entrainment. Finally, to build on this foundation, our future work will explore the viable lifetimes and aging of composites, their scalability, and the effect of varying crosslinkers and motors to these properties.
Footnotes |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d4sm01527d |
‡ Contributed equally to this work. |
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