INTRODUCTION    
    After injury or tissue damage, cells must migrate to the wound    site and deposit new tissue to restore function (1). While many tissues provide a    permissive environment for such interstitial [three-dimensional    (3D)] cell migration (i.e., skin), adult dense connective    tissues (such as the knee meniscus, articular cartilage, and    tendons) do not support this migratory behavior. Rather, the    extracellular matrix (ECM) density and micromechanics increase    markedly with tissue maturation (2,    3) and, as a consequence, act as a    barrier for cells to reach the wound interface. It follows then    that healing of these tissues in adults is poor (4, 5)    and that wound interfaces remain susceptible to refailure over    the long term due to insufficient repair tissue formation.    Similarly, fibrous scaffolds used in repair applications also    impede cell infiltration when the scaffolds become too dense    (6).  
    This raises an important conundrum in dense connective tissues    and repair scaffolds; while the dense ECM and fibrous scaffold    properties are critical for mechanical function, they, at the    same time, can compromise cell migration, with endogenous cells    locked in place and unable to participate in repair processes.    This concept is supported by in vitro studies documenting that,    in 3D collagen gels, the migration of mesenchymal lineage cells    is substantially attenuated once the gel density and/or    stiffness has reached a certain threshold (79).    Consistent with this, our recent in vitro models exploring cell    invasion into devitalized dense connective tissue (knee    meniscus sections) showed reduced cellular invasion in adult    tissues compared to less dense fetal tissues (3). The density of collagen in most    adult dense connective tissues is 30 to 40 times higher than    that used within in vitro collagen gel migration assay systems    (2, 3),    emphasizing the substantial barrier to migration that the dense    ECM plays in these tissues.  
    To address this ECM impediment to successful healing, we and    others have developed strategies to loosen the matrix (via    local release of degradative enzymes) in an attempt to expedite    repair and/or encourage migration to the wound site (10), with promising results both    in vitro and in vivo (10, 11). Despite the potential of this    approach, it is cognitively dissonant to disrupt ECM to repair    it, and any such therapy would have to consider any adverse    consequences on tissue mechanical function.  
    This led us to consider alternative controllable parameters    that might regulate interstitial cell mobility while preserving    the essential mechanical functionality of the matrix. It is    well established that increasing matrix density decreases the    effective pore size within dense connective tissues. The    nucleus is the largest (and stiffest) organelle in eukaryotic    cells (12), and it must physically    deform as a cell passes through constructures that are smaller    than its own smallest diameter (9).    When artificial pores of decreasing diameter are introduced    along an in vitro migration path (e.g., in an in vitro Boyden    chamber system), cell motion can be completely arrested (13). If cells are forced to    transit through these tight passages, then nuclear rupture and    DNA damage can occur (14, 15). Conversely, under conditions    where nuclear stiffness is low, as is the case in neutrophils    (16) and some particularly invasive    cancer cells (17), migration    through small pores occurs quite readily.  
    Given the centrality of the nucleus in migration through small    pores, methods to transiently regulate nuclear stiffness or    deformability might therefore serve as an effective modulator    of interstitial cell migration through dense tissues and    scaffolds. Nuclear stiffness is defined by two primary    featuresthe density of packing of the genetic material    contained within (i.e., the heterochromatin content) and the    intermediate filament network that underlies the nuclear    envelope (the nuclear lamina, composed principally of the    proteins Lamin B and Lamin A/C) (12, 16, 18, 19). Increasing chromatin    condensation increases nuclear stiffness, while decreasing    Lamin A/C content decreases nuclear stiffness (19, 20). Both increasing the stiffness    of the microenvironment in which a cell resides (21) and the mechanical loading    history of a cell promotes heterochromatin formation and Lamin    A/C accumulation (2224), resulting in stiffer nuclei.    Since both matrix stiffening and mechanical loading are    features of dense connective tissue maturation, these inputs    may drive nuclear mechanoadaptation (25), resulting in endogenous cells    with stiff nuclei that are locked in place.  
    On this basis, the goal of this study was to determine whether    nuclear softening could enhance migration through dense    connective tissues and repair scaffolds to increase    colonization of the wound site and the potential for repair by    endogenous cells. We took the approach of transiently    decreasing nuclear stiffness in adult meniscus cells through    decreasing heterochromatin content [using Trichostatin A (TSA),    a histone deacetylase (HDAC) inhibitor] that promotes chromatin    relaxation (26) and confirmed    the importance of nuclear stiffness by reducing Lamin A/C    protein content (using lentiviral-mediated knockdown). Our    experimental findings and theoretical models demonstrate that    nuclear softening decreases the barriers to interstitial    migration through small pores, both in vitro and in vivo,    resulting in the improved colonization of dense fibrous    networks and transit through native tissue by adult meniscus    cells. By addressing the inherent limitations to repair imposed    by nuclear mechanoadaptation that accompanies cell    differentiation and ECM maturation, this work defines a    promising strategy to promote the repair of damaged dense    connective tissues in adults.  
      We first determined whether TSA treatment alters chromatin      organization in adult meniscal fibrochondrocytes (MFCs).      Super-resolution images of the core histone protein      Histone-H2B in MFC nuclei were obtained by stochastic optical      reconstruction microscopy (STORM) and revealed a notable      organization of Histone-H2B inside MFC nuclei (STORM; Fig. 1A), which could not be observed with      conventional microscopy (conventional; Fig. 1A).      It has recently been shown that super-resolution images can      be segmented at multiple length scales using Voronoi      tessellation (27, 28). To segment the H2B      super-resolution images, we carried out Voronoi tessellation,      used a threshold to remove large polygons corresponding to      regions of the nucleus containing sparse localizations, and      color-coded the localizations with the same color if their      polygons were connected in space and shared at least one      edge. This segmentation showed that H2B localizations      clustered to form discrete and spatially separated      nanodomains in control nuclei [()TSA]. Nuclei treated with      TSA, on the other hand, contained smaller domains. These      results were quantitatively recapitulated by a decrease in      the number of H2B localizations in individual domains and an      overall decrease in the area of domains in MFCs treated with      TSA [(+)TSA] (Fig. 1, B to D). These results      are in line with a more folded chromatin confirmation in      ()TSA cells, which opens and decondenses after TSA      treatment. These results are also consistent with recent      super-resolution analysis, which showed that TSA-treated      fibroblasts have small nucleosome nanodomains that are more      uniformly distributed in the nuclear space compared to      control fibroblasts (29, 30). This decondensation was      also confirmed in TSA-treated bovine mesenchymal stem cells      (MSCs), where TSA treatment decreased the number and area of      H2B nanodomains (fig. S1A). This increased acetylation at      H3K9 (Ac-H3K9) was apparent at the nanoscale (fig. S1B) and      via conventional fluorescence imaging of the nuclei (fig.      S1C). Conversely, there were no significant changes in      H3K27me3 with TSA treatment when evaluated using STORM or      conventional fluorescent microscopy (fig. S1, D and E).    
      (A) Representative conventional fluorescent      and STORM imaging of Histone-H2B in a control [top; ()TSA]      or TSA-treated MFC nucleus [bottom; (+)TSA].      (B) Corresponding Voronoi-based image      segmentation, which allows for visualization and      quantification of Histone-H2B nanodomains.      (C and D) Quantification of      the number of H2B localizations per cluster and the cluster      area with TSA treatment. The box, line, and dot correspond to      the interdecile range (10th to 90th percentile), median, and      mean, respectively, Mann-Whitney U test, n       10,584 clusters from five cells. Next to each Voronoi      image, higher-magnification zoom-ins of the region inside the      squares are shown. (E) TSA treatment for 3      hours decreases chromatin condensation in      4,6-diamidino-2-phenylindole (DAPI)stained nuclei (scale      bar, 5 m), and the number of visible edges (left).      Quantification of the chromatin condensation parameter (CCP)      with TSA treatment [right; *P < 0.05 versus      ()TSA, n = ~20]. (F) Schematic      showing experimental design to evaluate nuclear deformability      and changes in nuclear aspect ratio (NAR =      b/a) with cell stretch.      (G) Representative DAPI-stained nuclei on      scaffolds before and after 15% stretch (left; scale bar, 20      m) and NAR at 3 and 15% stretch (n = 32 to 58      cells, *P < 0.05 versus ()TSA and      +P < 0.05 versus 3%).      (H) 2D wound closure assay shows no      differences in gap filling in the presence or absence of TSA      [()TSA; left: scale bar, 200 m; right: P >      0.05, n = 6). (I) Schematic of      Boyden chamber chemotaxis assay (left) and migrated cell      signal intensity through 3-, 5-, and 8-m-diameter pores,      with and without TSA pretreatment [right; n = 5      samples per group, *P < 0.05 versus ()TSA and      +P < 0.05 versus 3 m, means  SD].      All experiments were carried out at least in triplicate,      except for the wound closure assay (which was performed in      duplicate). RFU, relative fluorescence units.    
      In addition, TSA treatment for 3 hours [(+)TSA] also resulted      in marked chromatin decondensation in MFCs seeded on aligned      (AL) nanofibrous scaffolds that are commonly used for dense      connective tissue repair, as evidenced by decreases in the      number of visible edges in 4,6-diamidino-2-phenylindole      (DAPI)stained nuclei compared to control cells [()TSA] and      a reduction (~40%) in the image-based chromatin condensation      parameter (CCP) (Fig. 1E).    
      To assess whether this TSA-mediated chromatin decondensation      changed nuclear stiffness and deformability, we stretched      MFC-seeded AL scaffolds (from 0 to 15% grip-to-grip strain)      and determined the change in nuclear aspect ratio (NAR)      (Fig. 1F). Nuclei that were pretreated with      TSA [(+)TSA] showed increased nuclear deformation compared to      control nuclei [()TSA] (Fig. 1G);      however, TSA did not change cell/nuclear morphology (fig. S2,      A to C) or cell migration on planar surfaces (Fig. 1H), and only minor changes in focal      adhesions were observed (fig. S2, D and E). MFC spread area      and traction force generation were also unaffected by TSA      treatment when cells were plated on soft substrates      (E = 10 kPa) (fig. S2, F to I). These observations      suggest that TSA treatment decreases nuclear deformability by      chromatin decondensation without changing overall cell      migration capacity in 2D culture.    
      We next assessed the ability of MFCs to migrate through small      pores using a commercial transwell migration assay (Fig. 1I). Cells treated with TSA [(+)TSA]      (200 ng/ml) showed enhanced migration compared to controls      [()TSA] across all pore sizes, including 3-m pores that      supported the lowest migration in controls (Fig. 1I). This improved migration with TSA      treatment was dose dependent (fig. S3). Together, these data      show that while TSA treatment does not change cell      morphology, contractility, or planar migration on 2D      substrates, chromatin relaxation increases MFC nuclear      deformability, which improves cell migration through      micron-sized pores.    
      Having observed increased migration through rigid      micron-sized pores with nuclear softening, we next assayed      whether TSA treatment would enhance migration through dense      fibrillar networks. A custom microfluidic cell migration      chamber was designed, consisting of a top reservoir      containing basal medium (BM), a bottom reservoir containing      BM supplemented with platelet-derived growth factor (PDGF) as      a chemoattractant and an interposed nanofibrous      poly(-caprolactone) (PCL) layer (labeled with CellTracker      Red, ~150-m thickness) (Fig. 2, A and      B). With this design, a gradient of soluble factors is      presented across the fibrous layer, as evidenced by Trypan      blue diffusion over time (Fig. 2C).    
      (A) Schematic (top) and a top view (bottom)      of the PDMS [poly(dimethylsiloxane)]/nanofiber migration      chamber. (B) Schematic showing meniscus      cells (green) seeded onto fluorescently labeled nanofibers      interposed between the top reservoir containing BM and a      bottom reservoir containing BM supplemented with PDGF (100      ng/ml) as a chemoattractant. (C) Visual      representation of soluble factor gradient in microdevice      showing the slow accumulation of trypan blue in the upper      chamber as a function of time. (D)      Experimental schematic showing meniscus cell (MFC) isolation      and seeding onto nanofiber substrates (passage 1, isolated      from adult bovine menisci). One day after seeding, TSA or      PDGF was added to the top reservoir or the bottom reservoir,      respectively, and cells were cultured for additional 2 days.      On day 3, scaffolds were imaged by confocal microscopy to      determine the degree of cell penetrance into the scaffold.      (E) 3D confocal reconstructions of cell      (green) migration through AL or non-AL (NAL) nanofibrous      networks (AL or NAL; red) with and without TSA treatment.      Scale bar, 30 m. (F) Cross-sectional views      of cells (green) within nanofibrous substrates (red). Scale      bar, 30 m. Quantification of the percentage of infiltrated      cells (G) [n = 5 to 8 images,      *P < 0.05 versus ()TSA and      +P < 0.05 versus AL, means  SD] and      cell infiltration depth (H) [n = 33      cells, *P < 0.05 versus ()TSA and      +P < 0.05 versus AL, means  SEM,      normalized to the ()TSA/AL group]. Quantification of the      percentage of infiltrated cells (I)      [n = 5 images, *P < 0.05 versus ()TSA,      P < 0.05 versus 0% poly(ethylene      oxide) (PEO), and aP < 0.05 versus 25%      PEO, means  SD] and cell infiltration depth      (J) [n = 33 cells, *P <      0.05 versus ()TSA, P < 0.05 versus      0% PEO, and aP < 0.05 versus 25% PEO,      means  SD] normalized to the control PCL/0% PEO group] as a      function of PEO content. All experiments were carried out in      triplicate.    
      MFCs were seeded atop the fibrous layer, and their migration      was evaluated as a function of nuclear deformability (TSA)      and fiber alignment [AL or non-AL (NAL)]. MFCs were cultured      in BM for 1 day for attachment and then were treated for 2      days either with or without TSA (Fig. 2D).      Confocal imaging (Fig. 2, E and F, and movie S1,      A and B) and scanning electron microscopy (fig. S4A) showed      increased MFC invasion into the fibrous networks with TSA      treatment [(+)TSA] when compared to untreated MFCs [()TSA].      Without TSA, MFCs remained largely on the surface of the      fibers with some cytoplasmic extensions into the fibers (fig.      S4B), whereas TSA treatment increased the number of nuclei      entering the fiber network (fig. S4C). When quantified,      infiltration was higher in the NAL group compared to the AL      group (P < 0.05; Fig. 2, G and      H), likely due to the increased pore size in the NAL      scaffolds (6, 31), and TSA treatment improved      migration to similar levels in both NAL and AL groups      (P < 0.05; Fig. 2, G and H). As      expected, cells in AL scaffolds showed higher aspect ratios      and solidity compared to cells on NAL scaffolds, yet TSA      treatment did not influence cell morphology (fig. S4D).      Nuclei in NAL groups were rounder (lower NAR) than in AL      groups, and TSA treatment resulted in more elongated nuclei      (higher NAR) in both AL and NAL groups (fig. S4E). While      promoting cell invasion, TSA treatment did not result in any      change in DNA damage (as assessed by phospho-histone      H2AX-positive nuclei; fig. S4F) and slightly reduced cell      proliferation at this time point (fig. S4G). Thus, it appears      that TSA increased nuclear deformability, resulting in      enhanced cell migration into these dense fibrous networks.    
      To verify that nuclear softening is the primary mechanism for      enhanced migration into fibrous networks, we also knocked      down Lamin A/C in MFCs before seeding. In previous studies,      cells lacking Lamin A/C showed increased nuclear      deformability and increased mobility in collagen gels and      through small pores in Boyden chambers (13, 32). Consistent with these      studies (12, 19, 33), reduction of Lamin A/C      protein levels in MFCs and MSCs (fig. S5, A to C) increased      nuclear deformability in response to applied stretch (fig.      S5D). When MFCs with Lamin A/C knockdown were seeded onto      fibrous networks, a greater fraction entered into the      scaffold and reached greater infiltration depths (fig. S5, E      to G). To further illustrate that nuclear stiffening reduces      migration, we cultured MSCs in transforming growth factor3      (TGF-3)containing media for 1 week before seeding onto the      fibers. As we reported previously (23), these conditions induce      differentiation in MSCs, resulting in stiffer nuclei with      increased chromatin condensation and decreased nuclear      deformability. Compared to undifferentiated MSCs, these      differentiated MSCs were found largely on the scaffold      surface (fig. S6, A to D) and had a lower infiltration rate      and depth. While many factors change during cell      differentiation, these findings also support that a less      deformable nucleus is an impediment to interstitial cell      migration. Together, these studies support that a stiff      nucleus is a limiting factor in the invasion of the small      pores of dense fibrous networks.    
      To investigate the combined role of porosity and nuclear      softening on migration, we next fabricated fibrous networks      through the combined electrospinning of both PCL and      poly(ethylene oxide) (PEO), where PEO acts as a sacrificial      fiber fraction to enhance porosity (6, 31). Consistent with our      previous findings, cell infiltration percentage and depth      progressively increased as a function of increasing PEO      content (Fig. 2, I and J). When nuclei were      softened with TSA treatment, we observed greater infiltration      into low-porosity scaffolds (PEO content, <25%), but no      difference in high porosity scaffolds (Fig. 2, I and      J). This suggests that increasing nuclear deformability      is only beneficial in the context of dense networks, where      the nucleus impedes migration.    
      To better define the relationship between pore size and      nuclear stiffness on cellular migration, we developed a      computational model to predict the critical force      (Fc) required for the nucleus to enter a      small channel (Fig. 3). This model was      motivated by studies of cellular transmigration through      endothelium in the context of cancer invasion, where the      surrounding matrix properties (stiffness), endothelium      properties (stiffness and pore size), and the cell properties      (in particular, the nuclear stiffness) appear to regulate      transmigration (34). Here, we      considered cell migration into a narrow and long channel to      mimic migration into a porous fiber network, where network      properties are defined by fiber density (Fig. 3A).      When the cell enters the channel, the resistance force      encountered by the nucleus increases monotonically as the      cell advances, reaching a maximal resistance force (defined      as the critical force, Fc). Following      this, the nucleus snaps through the opening, leading to a      drop in the resistance force, which vanishes after the      nucleus fully enters the channel (Fig. 3B and      movie S2). Thus, the cells must generate a sufficient force      to overcome this critical force to migrate into a channel. As      the channel size (rg) becomes smaller and      the ECM modulus (EECM) becomes greater,      the critical force required for the nucleus to enter the      channel increases (Fig. 3C and fig. S7). As      this required force increases, it eventually exceeds the      force generation capacity of the cell, resulting in a      situation where the cell cannot enter the pore.    
      (A) Schematic showing a nucleus (blue) above      a narrow channel representing the small pores in a dense      fiber network (orange). The geometric parameters are the      radius of the nucleus (rn) and the half      width of the channel (rg). The stiffness      parameters are the modulus of the nucleus      (En) and the fiber network      (EECM). The nucleus is treated as a      spheroid for simplicity. (B) Simulation of a      nucleus moving into and through the channel in the dense      fiber network. The normalized resistant force      (F/Enrn2)      encountered by the nucleus is plotted as a function of the      normalized displacement of the nucleus      (un/rn). The maximum      normalized resistance force is defined as the critical force.      (C) The critical force as a function of the      normalized ECM modulus (with respect to      En) and normalized channel size (with      respect to rn). The critical force is      larger as the ECM becomes stiffer or the channel becomes      smaller. (D) The critical force decreases as      the PEO content increases. TSA treatment also decreases the      critical force, particularly for dense networks (low PEO      content). (E) Normalized NAR after entry      into the channel increases as the ECM becomes stiffer or the      nucleus becomes softer (both lead to a larger normalized ECM      modulus, EECM/En).    
      To better understand the influence of PEO content (affecting      both the channel size and ECM modulus) and dose of TSA      (affecting nuclear modulus) on cell migration, we used the      normalized critical force data obtained from the model. Our      previous work (6) defined the      influence of PEO content on matrix mechanical properties and      pore size; the effect of TSA on nuclear stiffness has also      been measured quantitatively by other groups (26). Using these data, we      predicted the critical force at different PEO contents for      both TSA-treated and control cells (Fig. 3D).      Results from this model showed that critical force decreased      monotonically as PEO content increased, given that a higher      PEO content results in larger pores (31). This indicates that      infiltrated cell numbers should increase as the PEO content      increases, consistent with our experimental results.      Likewise, since TSA results in a softer nucleus (26), the critical force drops      significantly compared to control conditions. This is      particularly important at low PEO contents (denser networks),      where the critical force for TSA-treated nuclei drops      markedly. In networks with larger pores, the difference in      critical force between TSA-treated groups vanishes. We      included the model to gain, in general, insight into how a      change in nuclear deformability (with TSA) might broadly      affect cell migration in 3D and chose a simple configuration      to gain some initial insight. While this model is simple      (i.e., it does not represent the geometry of our fiber      networks or native tissue), its predictions were consistent      with our experimental findings, where the percentage of      infiltrated cells was higher with TSA treatment at 0% PEO but      the difference between groups disappeared at 50% PEO (Fig. 2I). The model also predicted that      the NAR (after fully embedded in the channel) should increase      as the nucleus becomes softer or the ECM becomes stiffer      [with both resulting in a larger normalized ECM modulus      (Fig. 3E),      EECM/En]; this also      is consistent with our experimental results showing that the      NAR of TSA-treated nuclei within scaffolds was larger than      nuclei in the control group.    
      The above data demonstrate that TSA treatment decreases      chromatin condensation for a sufficient period of time to      permit migration. However, prolonged exposure to this agent      may have deleterious effects on cell phenotype and function.      To assess this, we queried how long changes in MFC nuclear      condensation persist after TSA withdrawal. MFCs were treated      with TSA for 1 day as above, followed by five additional days      of culture in fresh BM (Fig. 4A). Consistent with      our previous findings, TSA decreased chromatin condensation      and CCP after 1 day of treatment (Fig. 4, B and      C). Upon removal of TSA, CCP values progressively      increased, reaching baseline levels by day 5 (Fig. 4, B and C). A similar finding was      noted in H2B localizations and domain area via STORM imaging,      where these values returned to baseline levels within 5 days      of TSA withdrawal (fig. S8, A to C). Similarly, nuclei in      MFCs treated with TSA showed increased deformation compared      to control MFC nuclei that were not treated with TSA (Fig. 4D) and increased Ac-H3K9 levels      (Fig. 4, E and F), but these values      gradually returned to the baseline levels within 5 days with      TSA removal (Fig. 4, D to F). Over this same time      course, proliferation was decreased in TSA-treated cells but      returned to baseline levels within 5 days of TSA withdrawal      on both tissue culture plastic (TCP) and on AL nanofibrous      scaffolds (fig. S8, D and E). No change in levels of      apoptosis (caspase activity) was observed over this time      course (fig. 8F). Further, to investigate phenotypic behavior      of cells after TSA treatment in the context of tissue repair,      we next assayed whether cells exposed to TSA showed      alterations in fibrochondrogenic gene expression and collagen      production in MFCs. Although the sample size was small in      this study, we did not detect a significant change in gene      expression for any of the major collagen isoforms or      proteoglycans normally produced by meniscus cells (fig. S9A).      To further assess this, MFCs were treated with TSA for 1 day,      followed by culture in fresh BM or TGF-3 containing      chemically defined media (to accelerate collagen production)      for an additional 3 days. Collagen produced by these cells      and released to the media was not altered by TSA treatment      (fig. S9B). Together, these data support that TSA treatment      decreases chromatin condensation by increasing acetylation of      histones in MFCs but this change is transient and baseline      levels are restored gradually after TSA is removed, without      alterations in collagen production.    
      (A) Schematic showing experimental setup;      adult MFCs seeded on AL nanofibrous scaffolds were treated      with/without TSA in BM for 1 day, followed by culture in      fresh BM without TSA for an additional 5 days.      (B) Representative DAPI-stained nuclei (top)      and corresponding detection of visible edges (bottom) (scale      bar, 3 m) and (C) CCP for time points      indicated in (A) (red line; BM control at day 0, n =      ~20 nuclei, *P < 0.05 versus Ctrl, means  SEM).      (D) NAR with 3 and 15% of applied stretch      (normalized to NAR with 0%, n = 65 ~80 cells,      *P < 0.05 versus 3%, +P <      0.05 versus Ctrl, P < 0.05 versus day      0, and aP < 0.05 versus day1, means       SEM). (E) Immunostaining for Ac-H3K9 (green)      in nuclei (blue) and quantification of mean intensity of the      immunostaining (F) (n = ~28 cells,      *P < 0.05 versus Ctrl and +P      < 0.05 versus day 0, means  SEM]. a.u., arbitrary units.      All experiments were carried out in triplicate.    
      Given that transient TSA treatment softened MFC nuclei,      resulting in enhanced interstitial cell migration, and did      not perturb collagen production in the short term, we next      investigated longer-term maturation of a tissue engineered      construct with TSA treatment. For this, MFCs were seeded onto      AL-PCL/PEO 25% scaffolds and cultured in TGF-3 containing      chemically defined media for 4 weeks with/without TSA      treatments (once a week for 1 day) as illustrated in Fig. 5A. In controls [()TSA], collagen      deposition occurred mostly at the construct border (Fig. 5B), but both deposition and cell      distribution were improved with TSA treatment [(+)TSA]      (Fig. 5, B and C). Quantification showed      that ~50% of cells were located within 50 m of the scaffold      edge in controls [()TSA], while TSA treatment [(+)TSA]      increased the number of cells deeper within the scaffold      (250- to 400-m range; Fig. 5D).    
      (A) Experimental schematic showing MFCs      seeded on PCL/25% PEO nanofibrous scaffolds that were      cultured in chemically defined media for 4 weeks with TSA      treatment once per week. After 4 weeks, ECM production and      cell infiltration with/without TSA treatment were evaluated.      Representative cross sections of MFC-laden nanofibrous      constructs at week 4 stained for collagen      (B) and cell nuclei (C).      Scale bar, 100 m. (D) Quantification of MFC      infiltration with/without TSA treatment (n = 3      images from three separate samples, *P < 0.05      versus ()TSA, means  SEM). Experiments were carried out in      duplicate. PSR, Picrosirius Red.    
      Toward meniscus repair, it is important to evaluate MFC      migration through the dense fibrous ECM of meniscus tissue in      the context of TSA treatment. For this, adult meniscus      explants (, 5 mm) were cultured for ~2 weeks, donor cells in      these vital explants were stained with CellTracker, and the      explants were placed onto devitalized tissue substrates and      cultured for an additional 48 hours, with/without TSA      treatment [(/+)TSA] (Fig. 6A). During this      48-hour period, the cells derived from the donor explants      adhered to the tissue substrates (Fig. 6B). In      control groups [()TSA], cells were found predominantly on      the substrate surface, whereas TSA-treated MFCs were found      below the substrate surface (Fig. 6, B and      C). Quantification showed that both the percent      infiltration and the infiltration depth were significantly      greater with TSA treatment (Fig. 6D).    
      (A) Schematic showing processing of vital      tissue explants and devitalized tissue sections for invasion      assay. Cell migration from the vital tissue and infiltration      into the devitalized tissue section were evaluated by      confocal microscopy. (B) 3D reconstructions      (scale bar, 200 m) and (C) cross-sectional      views (scale bar, 50 m) of cells (green) migrating through      the devitalized tissue sections (blue), with and without TSA      treatment. (D) Quantification of the      percentage of infiltrated cells [n = 6 images,      *P < 0.05 versus ()TSA, means  SD] and cell      infiltration depth [n = ~40 cells, *P <      0.05 versus ()TSA, means  SEM]. Experiments were carried      out in triplicate. (E) Electrospinning      schematic showing two independent fiber jets collected      simultaneously onto a common rotating mandrel. Discrete fiber      populations are composed of PEO containing TSA and PCL.      (F) Experimental schematic showing meniscus      cell seeding onto nanofiber substrates. One day after      seeding, the composite PCL/PEO TSA-releasing (PPT) scaffold      was added to the microfluidic chamber reservoir, and cells      were cultured for an additional 2 days, followed by confocal      imaging. (G) 3D confocal reconstructions of      cell (green) migration through AL nanofibrous networks with      and without scaffold-mediated TSA delivery (scale bar, 100      m) and quantifications of the percentage of infiltrated      cells [n = 5 images, *P < 0.05 versus      ()TSA, +P < 0.05 versus (+)TSA, and      #P < 0.05 versus 100 ng, means  SD;      biomolecule loading (mass per scaffold) is based on      electrospinning parameters and scaffold mass].      (H) Schematic of repair construct assembly      and subcutaneous evaluation in a rat model.      (I) Images of DAPI-stained nuclei (blue) at      the center of repair constructs after 1 week of subcutaneous      implantation, with and without TSA delivery. Dashed lines      indicate tissue-scaffold interfaces; dotted lines indicate      separation into outer one-third (A), middle (B), and inner      one-third (C) sections for quantification. Scale bar, 300 m.      (J) Number of cells within each region of      the scaffold with and without biomaterial-mediated TSA      release (n = 3 samples from three different animals,      *P < 0.05 versus PCL/PEO).    
      Next, we developed an assay to evaluate endogenous cell      migration within native tissue. For this, tissue explants (,      6 mm) were excised from adult menisci, and the cells on the      periphery of the explants were devitalized using a two-cycle      freeze-thaw process (freezing in 20C for 30 min, followed      by thawing at room temperature for 30 min, repeated twice on      day 2; fig. S10A). This resulted in a ring of dead cells at      the periphery of the tissue and a vital core. Processed      explants were then treated with TSA for 1 day (day 1) and      cultured in fresh media for an additional 3 days (fig. S10A).      At the end of culture, living cells along the explant border      were quantified. In controls that had not been treated by      freeze-thaw (Ctrl), live cells occupied the periphery (fig.      S10, B and D). With the two-cycle freeze-thaw process, there      was a significant decrease in the number of live cells in      this region (fig. S10, B and D), while cells in the center of      the explant remained vital (day 2; fig. S10, B and D). With      TSA treatment [(+)TSA], the number of vital cells that had      migrated from the vital core to the periphery was      significantly increased (day 3; fig. S10, C and D).    
      Last, to demonstrate the clinical potential of these      findings, we developed an integrated biomaterial implant      system to improve tissue repair in vivo (10, 35) via TSA delivery (Fig. 6E). Here, TSA was released from the      PEO fiber fraction of a composite nanofibrous scaffold when      this fiber fraction dissolves when placed in an aqueous      environment. To first demonstrate bioactivity of the      scaffold, we directly included small segments of these      TSA-releasing composite scaffolds in the top chamber of the      microfluidic migration device to treat seeded MFCs (Fig. 6F). Consistent with findings from      soluble delivery, the percentage of infiltrated cells      increased with the addition of the TSA-releasing composite      scaffold (Fig. 6G): scaffolds releasing ~200 ng      of TSA resulted in similar cell migration as direct addition      of TSA (200 ng/ml) to the chamber (Fig. 6G).      These results show our ability to deliver TSA to the wound      site in a controlled fashion. To determine whether these      TSA-releasing scaffolds could improve interstitial migration      of endogenous meniscus cells in an in vivo setting, we      subcutaneously placed meniscal repair constructs in nude rats      with empty (PCL/PEO) or TSA-releasing scaffolds (PCL/PEO/TSA)      interposed between the cut surfaces and histologically      evaluated cellularity of the tissue and implant at 1 week      (Fig. 6H). Results showed that interfacial      cellularity was markedly higher for repair constructs with      the scaffolds releasing ~100 ng of TSA (PCL/PEO/TSA) compared      to control scaffolds (PCL/PEO; Fig. 6I), with      cells occupying the full thickness of the TSA-releasing      scaffold (Fig. 6J). Together, these data      indicate that biomaterial-mediated nuclear softening of      endogenous meniscus cells increases their capacity for      interstitial migration through the tissue and into the      scaffold in an in vivo setting.    
      PCL nanofibrous scaffolds were fabricated via electrospinning      as in (6). Briefly, a PCL solution      (80 kDa; Shenzhen Bright China Industrial Co. Ltd., China;      14.3% (w/v) in 1:1 tetrahydrofuran and      N,N-dimethylformamide) was extruded through      a stainless steel needle (2.5 ml/hour, 18-gauge, charged to      +13 kV). To form NAL scaffolds, fibers were collected on a      mandrel rotating with a surface velocity of <0.5 m/s. For      AL scaffolds, fibers were collected at a high surface      velocity (~10 m/s) (36). In some      studies, to enhance cell infiltration, PCL/PEO (PEO, 200 kDa;      Polysciences Inc., Warrington, PA) composite AL fibrous      scaffolds were produced by coelectrospinning two fiber      fractions onto the same mandrel, as in (6). For this, solutions of PCL      (14.3%, w/v) and PEO (10%, w/v, in 90% ethanol) were      electrospun simultaneously onto a centrally located mandrel      (~10 m/s, 2.5 ml/hour). Resulting composite scaffolds were      produced with PEO content of 0, 25, and 50% by scaffold dry      mass. To visualize fibers, CellTracker Red (0.0005%, w/v) was      mixed into the PCL solutions before electrospinning.      Scaffolds were hydrated and sterilized in ethanol (100, 70,      50, and 30%; 30 min per step) and incubated in a fibronectin      (20 g/ml) solution overnight to enhance initial cell      attachment. TSA-releasing scaffolds contained a semipermanent      (very slow degrading) fiber population (PCL) and a transient      (water soluble) fiber population (PEO). The PEO fibers      released TSA as they dissolve. To form this fiber fraction,      TSA was added to the PEO solution (1% wt/vol) 2 days before      spinning. PCL (10 ml) and PEO/TSA (10 ml) solutions were      loaded into individual syringes and electrospun      simultaneously by coelectrospinning onto a common centrally      located mandrel, as above. Estimates of TSA content (mass per      scaffold) were based on electrospinning parameters and the      mass of each fiber fraction (Fig. 6E).    
      MFCs were isolated from the outer zone of adult bovine (20 to      30 months; Animal Technologies Inc.) or porcine menisci (6 to      9 months; Yucatan, Sinclair BioResources). For this, meniscal      tissue segments were minced into ~1-mm3 cubes and      placed onto TCP and incubated at 37C in a BM consisting of      Dulbeccos modified Eagles medium (DMEM) with 10% fetal      bovine serum and 1% penicillin/streptomycin/fungizone (PSF).      Cells gradually emerged from the small tissue segments over 2      weeks, after which the remaining tissue was removed and the      cells were passaged one time before use. MSCs were isolated      from juvenile bovine bone marrow as in (37) and expanded in BM. To      induce MSC fibrochondrogenesis, passage 1 MSCs were seeded on      AL PCL scaffolds and cultured in a chemically defined serum      free medium consisting of high glucose DMEM with 1 PSF, 0.1      M dexamethasone, ascorbate 2-phosphate (50 g/ml), l-proline      (40 g/ml), sodium pyruvate (100 g/ml), insulin (6.25      g/ml), transferrin (6.25 g/ml), selenous acid (6.25 ng/ml),      bovine serum albumin (BSA; 1.25 mg/ml), and linoleic acid      (5.35 g/ml) (Life Technologies, NY, USA). This base medium      (Ctrl) was further supplemented with TGF-3 (10 ng/ml) to      induce differentiation (Ctrl/Diff, R&D Systems,      Minneapolis, MN). Cell-seeded constructs were cultured in      this medium for up to 7 days.    
      MFCs or MSCs were plated into eight-well Lab-Tek 1 cover      glass chambers (Nunc), followed by preculture in BM for 2      days. At this time point, cells were treated with TSA for 3      hours, followed by fixation in methanol-ethanol (1:1) at      20C for 6 min. After a 1-hour incubation in blocking buffer      containing 10 weight % BSA (Sigma-Aldrich) in      phosphate-buffered saline (PBS), samples were incubated      overnight with anti-H2B (1:50; abcam1790, Abcam),      anti-H3K4me4 (1:100; MA5-11199, Thermo Fisher Scientific), or      anti-H3K27me3 (1:100; PA5-31817, Thermo Fisher Scientific) at      4C. Next, samples were washed and incubated for 40 min with      secondary antibodies custom labeled with activator-reporter      dye pairs (Alexa Fluor 405Alexa Fluor 647, Invitrogen) for      STORM imaging (29, 38). All imaging experiments      were carried out with a commercial STORM microscope system      from Nikon Instruments (N-STORM). For imaging, the 647-nm      laser was used to excite the reporter dye (Alexa Fluor 647,      Invitrogen) to switch it to the dark state. Next, a 405-nm      laser was used to reactivate the Alexa Fluor 647 in an      activator dye (Alexa Fluor 405)facilitated manner. An      imaging cycle was used in which one frame belonging to the      activating light pulse (405 nm) was alternated with three      frames belonging to the imaging light pulse (647 nm). Imaging      was carried out in a previously described imaging buffer      [Cysteamine (#30070-50G, Sigma-Aldrich), GLOX solution: 1      glucose oxidase (0.5 mg/ml), 1 catalase (40 mg/ml) (all from      Sigma-Aldrich), and 10% glucose in PBS] (39). STORM images were analyzed      and rendered using custom-written software (Insight3, gift of      B. Huang, University of California, San Francisco, USA) as      previously described (39). For      quantitative analysis, a previously described method was      adapted that segments super-resolution images based on      Voronoi tessellation of the fluorophore localizations (27, 28). Voronoi tessellation of a      STORM image assigns a Voronoi polygon to each localization,      such that the polygon area is inversely proportional to the      local localization density (40). The spatial distribution of      localizations is represented by a set of Voronoi polygons      such that smaller polygon areas correspond to regions of      higher density. Domains were segmented by grouping adjacent      Voronoi polygons with areas less than a selected threshold,      and imposing a minimum of three localizations per domain      criteria generates the final segmented dataset.    
      MFCs (P1) were seeded onto AL PCL (0% PEO) scaffolds in BM      for 2 days. To induce chromatin decondensation, TSA, a HDAC      inhibitor (26) was added to      the media for 3 hours. Chromatin condensation state and      nuclear deformability were evaluated 3 hours after TSA      treatment. For chromatin condensation analysis, constructs      were fixed in 4% paraformaldehyde for 30 min at 37C,      followed by PBS washing and permeabilization (with 0.05%      Triton X-100 in PBS supplemented with 320 mM sucrose and 6 mM      magnesium chloride). Nuclei were visualized by DAPI (ProLong      Gold Antifade Reagent with DAPI, P36935, Molecular Probes,      Grand Island, NY) and imaged at their mid-section using a      confocal microscope (Leica TCS SP8, Leica Microsystems Inc.,      IL). Edge density in individual nuclei was measured using a      Sobel edge detection algorithm in MATLAB to calculate the CCP      as described in (24).    
      To assess nuclear deformability, the NAR (NAR =      a/b) was evaluated before (0%) and after 9      and 15% grip-to-grip static deformation of constructs.      Nuclear shape was captured on an inverted fluorescent      microscope (Nikon T30, Nikon Instruments, Melville, NY)      equipped with a charge-coupled device camera at each      deformation level. NAR was calculated using a custom MATLAB      code. Changes in NAR were tracked for individual MSC nuclei      at each strain step as in (41).    
      To assess MFC migration on 2D substrates, a scratch assay      was performed with or without TSA treatment. For this,      passage 1 MFCs were plated into a six-well tissue culture      dish (2  105 cells per well) and cultured to      confluence (for 2 to 3 days). Confluent monolayers were then      scratched with a 2.5-l pipette tip, and cell debris was      removed via PBS washing. Images were taken using an inverted      microscope at regular intervals and wound closure computed      using ImageJ.    
      In addition, as an initial assessment of MFC migration,      96-well transwell migration assay kits (Chemicon QCM 96-well      Migration Assay; membrane pore size, 3, 5, or 8 m) were used      to assess cell migration. Briefly, human recombinant PDGF-AB      (100 ng/ml in 150 l of BM; Prospect Bio) was added to the      bottom chamber, and passage 1 MFCs (50,000 cells per well)      were seeded into the top chamber. Cells were allowed to      migrate for 18 hours at 37C with/without TSA treatment. In      some studies, different dosages of TSA (0 to 800 nM) were      applied (at a pore size of 5 m).    
      To assess initial cell migration through dense nanofiber      networks, a custompoly(dimethylsiloxane) (PDMS) migration      assay chamber was implemented (Fig. 2A). Top      and bottom pieces containing holes (top, 6, 7, 6 mm in      diameter; bottom, 6, 5, 6 mm in diameter) and a channel      (bottom, 2 mm in width and 20 mm in length) were designed via      SOLIDWORKS software for 3D printed templates (Acura SL 5530,      Protolabs), and these were cast from the templates with PDMS      (Sylgard 184, Dow Corning). To assemble the multilayered      chamber, bottom PDMS pieces, the periphery of PCL electrospun      fiber networks, and top PDMS pieces were coated with uncured      PDMS base and curing agent mixture (10:1 ratio) and placed on      cover glasses sequentially. For firm adhesion of each layer,      chambers were incubated at 40C overnight. The final device      consisted of a top reservoir containing BM and a bottom      reservoir containing BM + PDGF (100 ng/ml) as a      chemoattractant (Fig. 2A). To simulate      chemoattactant diffusion from bottom to top reservoirs,      trypan blue 0.4% solution (MP Biomedicals) was introduced to      one of the side holes to fill the bottom reservoir, and the      central top reservoir was filled with PBS. Cell migration      chambers were kept in incubator (37C, 5% CO2),      and images were obtained at regular intervals (Fig. 2D).    
      Fluorescently labeled (CellTracker Red) AL or NAL nanofibrous      PCL scaffolds (thickness, ~150 m) were interposed between      the reservoirs, and MFCs (2000 cells, passage 1) were seeded      onto the top of each scaffold, followed by 1 day before      culture in BM. Cells in chambers were cultured in BM      with/without TSA for an additional 2 days. At the end of 3      days, cells were fixed and visualized by actin/DAPI staining.      Confocal z-stacks were obtained at 40 magnification, and      maximum z-stack projections were used to assess cellular      morphology (cell/nuclear aspect ratio, area, circularity, and      solidity). The percentage of infiltrated cells was quantified      from confocal z stacks, with cells located beneath fibers      categorized as infiltrated (fig. S3C) and the infiltration      depth measured on cross-sectional images using ImageJ. For      scanning electron microscopy imaging, additional samples were      fixed and dehydrated in ethanol (30, 50, 70, and 100%, 60 min      per step) and then hexamethyldisilane for terminal      dehydration under vacuum.    
      Details on the model have been described previously (34). Briefly, to understand the      influence of both intracellular and extracellular cues on      cell migration through the fibrous ECM, we considered a model      in which a cell with a spherical nucleus of radius      rn is invading ECM through a deformable      gap (with radius rg) smaller than the      diameter of the nucleus (Fig. 3A). For      simplicity, the nucleus is modeled by a spheroid and treated      as a compressible neo-Hookean hyperelastic material to      capture the mechanical response. An infinitely long small      channel is created in the ECM to mimic the path a cell would      migrate through in the migration assay. A neo-Hookean      hyperelastic material was used to capture the ECM mechanical      properties. The model parameters are shown in Table 1.    
      To assess how fast the TSA-mediated MFC chromatin      organization and deformability was restored after TSA      removal, MFCs seeded on AL scaffolds were treated with TSA      for 1 day, followed by additional culture for 5 days in fresh      BM (Fig. 4A). At each time point, the CCP and      nuclear deformability were evaluated as described above. In      addition, Ac-H3 levels in MFC nuclei were assessed by      immunostaining with an Ac-H3K9 monoclonal antibody      (MA5-11195, Thermo Fisher Scientific; 1:400, overnight at      4C). All images were collected using a confocal microscope      (Leica TCS SP8, Leica Microsystems Inc., IL) at 63      magnification, with staining intensity quantified using      ImageJ.    
      For long-term evaluation of matrix production after TSA      treatment, MFCs were seeded on PCL/PEO 25% AL nanofibrous      scaffolds (P1, 105 cells, 1 cm by 1 cm by 0.1 cm)      and were cultured in TGF-3 containing chondrogenic media for      4 weeks. TSA was applied once each week for 24 hours. After 4      weeks, constructs were fixed with 4% paraformaldehyde and      embedded in CryoPrep frozen section embedding medium [optimal      cutting temperature (OCT) compound, Thermo Fisher Scientific,      Pittsburgh, PA]. Using a cryostat microtome (Microm HM-500 M      Cryostat, Ramsey, MN), constructs were sectioned to 8 m in      thickness through their depth and stained with Picrosirius      Red and DAPI to visualize collagen and nuclei, respectively.      Stained sections were visualized and imaged by brightfield      and fluorescent microscopy (Nikon Eclipse TS 100, Melville,      NY). To quantify cell infiltration in the scaffolds, the      number of migrated cells as a function of scaffold depth was      determined for each experimental group (n = 3      scaffolds per group) using ImageJ.    
      To isolate fresh MFCs, cylindrical tissue explants (6 mm in      diameter and 3 mm in height) were excised using biopsy      punches from the middle zone of the meniscus, and these      explants incubated in BM for ~2 weeks to allow cells to      occupy the periphery. To fabricate devitalized tissue      substrates, additional cylindrical tissue explants (8 mm in      diameter) were embedded in OCT sectioning medium (Sakura      Finetek, Torrance, CA) and axially cut (to ~50 m in      thickness) using a cryostat microtome. These devitalized      sections were placed onto positively charged glass slides and      stored at 20C until use. After ~2 weeks of in vitro      culture, the living explants were incubated in      5-chloromethylfluorescein diacetate (5 g/ml) (CellTracker      Green, Thermo Fisher Scientific, Waltham, MA) in serum-free      media (DMEM with 1% PSF) for 1 hour to fluorescently label      cells in the explants. The explants were placed atop tissue      substrates to allow for cell egress onto and invasion into      the sections, and slides with explants were incubated at 37C      with/without TSA treatment in BM for 2 days, at which point      maximum z-stack projections were acquired using a confocal      microscope (Leica TCS SP8, Leica Microsystems Inc., IL). Cell      infiltration depth was measured as the distance between the      apical tissue surface and the basal cell surface using a      custom MATLAB code (3), and the      total number of cells and the number of migrated cells (those      entirely embedded within the tissue) were counted (n      = 3 per group) using ImageJ.    
      In addition, to observe endogenous meniscus cell migration in      the native ECM, a tissue-based migration assay was developed.      Cylindrical meniscus tissue explants (6 mm in diameter and ~6      mm in height) were excised from the middle zone of adult      menisci. To kill the cells on the border of the tissue,      explants were frozen at 20C for 30 min and then thawed at      room temperature for 30 min; this process was repeated twice      (two-cycle) (day 2; fig. S10A). After devitalizing the      periphery, explants were cultured in BM for 1 day, and TSA      was added for 1 day (day 1; fig. S10A). After TSA treatment,      explants were washed with PBS (day 0; fig. S10A), followed by      culture in fresh BM for an additional 3 days. At day 3,      LIVE/DEAD staining was performed, and explants cross sections      were imaged (day 3; fig. S10A). Images were acquired from      eight regions distributed evenly around the boundary (Leica      TCS SP8, Leica Microsystems Inc., IL). The number of live      cells located within 1 mm of the boundary was determined      using ImageJ.    
      To evaluate the impact of biomaterial-mediated TSA delivery      on endogenous meniscus cell migration in an in vivo setting,      a nude rat xenotransplant model was used, as in (10). All animal procedures were      approved by the Animal Care and Use Committee of the Corporal      Michael Crescenz VA Medical Center. Before subcutaneous      implantation, horizontal defects were created in adult bovine      meniscal explants (8 mm in diameter and 4 mm in height,      n = 3 donors; Fig. 6H). Electrospun      PCL/PEO scaffolds with/without TSA were prepared (6 mm in      diameter with a 2-mm-diameter central fenestration). Control      PCL/PEO scaffolds or scaffolds releasing TSA (PCL/PEO/TSA,      ~100 ng) were placed into the defect, which was closed with      absorbable sutures. The repair construct was implanted      subcutaneously into the dorsum of male athymic nude rats      (n = 3, Hsd:RH-Foxn1rnu, 8 to 10      weeks old, ~300 g, Harlan) (Fig. 6H)      (10). At 1 week, rats were      euthanized, and constructs were removed from the subcutaneous      space. Samples were fixed with para-formaldehyde and      embedded in OCT sectioning medium (Sakura Finetek, Torrance,      CA), sectioned to 8 m in thickness, stained with DAPI for      cell nuclei, and imaged using a fluorescence microscope. Cell      number in the center and edges of the implanted scaffold were      determined using ImageJ.    
      Statistical analysis was performed using Student t      tests or analysis of variance (ANOVA) with Tukeys honestly      significantly different post hoc tests (SYSTAT v.10.2, Point      Richmond, CA). For datasets that were not normally      distributed, nonparametric Mann-Whitney or Kruskal-Wallis      tests were performed, followed by post hoc testing with      Dunns correction using GraphPad Prism version 6 (GraphPad      Software Inc., La Jolla, CA, USA). Results are expressed as      the means  SEM or SD, as indicated in the figure legends.      Differences were considered statistically significant at      P < 0.05.    
  Acknowledgments: We acknowledge S. Gullbrand, D.  H. Kim, and E. Henning for technical support.  Funding: This work was supported by the NIH (R01  AR056624), the Department of Veterans Affairs (I01 RX000174), the  NSF Science and Technology Center for Engineering Mechanobiology  (CMMI-1548571), and the Penn Center for Musculoskeletal Disorders  (P30 AR069619). Author contributions: S.-J.H.,  K.H.S., S.T., X.C., A.P.P., B.N.S., F.Q., V.B.S., M.L., J.A.B.,  and R.L.M. designed the studies. S.-J.H., K.H.S., S.T., X.C.,  A.P.P., and B.N.S. performed the experiments. S.-J.H., K.H.S.,  S.T., X.C., A.P.P., B.N.S., F.Q., V.B.S., M.L., J.A.B., and  R.L.M. analyzed and interpreted the data. S.-J.H., S.T., X.C.,  V.B.S., M.L., J.A.B., and R.L.M. drafted the manuscript, and all  authors edited the final submission. Competing  interests: The authors declare that they have no  competing interests. Data and materials  availability: All data needed to evaluate the  conclusions in the paper are present in the paper and/or the  Supplementary Materials. Additional data related to this paper  may be requested from the authors.
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Nuclear softening expedites interstitial cell migration in fibrous networks and dense connective tissues - Science Advances