The Depletion Mechanism Actuates Bacterial Aggregation by Exopolysaccharides and Determines Species Distribution & Composition in Bacterial Aggregates

Bacteria in natural environments and infections are often found in cell aggregates suspended in polymer-rich solutions, and aggregation can promote bacterial survival and stress resistance. One aggregation mechanism, called depletion aggregation, is driven by physical forces between bacteria and high concentrations of polymers in the environment rather than bacterial activity per se. As such, bacteria aggregated by the depletion mechanism will disperse when polymer concentrations fall unless other adhesion mechanisms supervene. Here we investigated whether the depletion mechanism can actuate the aggregating effects of Pseudomonas aeruginosa exopolysaccharides for suspended (i.e. not surface attached) bacteria, and how depletion affects bacterial inter-species interactions. We found that cells overexpressing the exopolysaccharides Pel and Psl remained aggregated after short periods of depletion aggregation whereas wild-type and mucoid P. aeruginosa did not. In co-culture, depletion aggregation had contrasting effects on P. aeruginosa’s interactions with coccus- and rod-shaped bacteria. Depletion caused S. aureus (cocci) and P. aeruginosa (rods) to segregate from each other and S. aureus to resist secreted P. aeruginosa antimicrobial factors resulting in species co-existence. In contrast, depletion aggregation caused P. aeruginosa and Burkholderia sp. (both rods) to intermix, enhancing type VI secretion inhibition of Burkholderia by P. aeruginosa, leading to P. aeruginosa dominance. These results show that in addition to being a primary cause of aggregation in polymer-rich suspensions, physical forces inherent to the depletion mechanism can promote aggregation by some self-produced exopolysaccharides and determine species distribution and composition of bacterial communities.


INTRODUCTION
Bacteria are often found within cell aggregates suspended in polymer-rich environments. Examples include bacteria growing in soil (Wilpiszeski et al., 2019), aqueous environments (Blom et al., 2010), and those living in animal host secretions such as mucus, pus, and sputum (Bjarnsholt et al., 2013;Kragh et al., 2014;Bay et al., 2018;Speare et al., 2020). Aggregated growth is thought important because it can increase the ability of bacteria to survive environmental stresses such as pH and osmotic extremes, as well as hostderived and pharmaceutical antimicrobials (Stewart and Costerton, 2001;Hall-Stoodley et al., 2004). Bacterial aggregation also affects phenotypes relevant to host-microbe interactions such as bacterial invasiveness, virulence factor production, resistance to predation by protozoans, and resistance to phagocytic uptake (Kharazmi, 1991;Hahn et al., 2000;Jesaitis et al., 2003;Alhede et al., 2011;Sonderholm et al., 2017).
Bacteria can aggregate via bridging aggregation, which occurs when adhesions, polymers, or other molecules bind cells to one another. For example, biofilm formation occurs when cells accumulate next to each other on surfaces and produce exopolysaccharides and other matrix components that enable them to stick together via bridging interactions (Costerton et al., 1995;Davey and O'Toole, 2000). However, bacteria suspended in solutions are less likely to accumulate immediately adjacent to each other by clonal growth because random (i.e. Brownian) movement or fluid flows will disperse them. This reduces the opportunity for cell-cell bridging interactions via selfproduced exopolysaccharides.
Another general yet underappreciated mechanism is depletion aggregation (Marenduzzo et al., 2006). Depletion aggregation occurs in environments containing high concentrations of non-adsorbing polymers (Asakura and Oosawa, 1958;Poon, 2002). Such conditions exist in the cytoplasm of eukaryotic cells (Marenduzzo et al., 2006), mucosal surfaces (Preska Steinberg et al., 2019), cystic fibrosis (CF) airways (Secor et al., 2018), wounds (Clark, 1996), biofilm matrices (Dorken et al., 2012), and other settings. Depletion aggregation is initiated when bacteria spontaneously come into close contact with each other ( Figure 1A). This causes the polymers in between cells to become restricted in their configurational freedom, which decreases their entropy. Polymers will spontaneously move out from in between cells  which results in a polymer concentration gradient across adjacent bacterial cells and an osmotic imbalance (i.e., the depletion force) that physically holds the cells together ( Figures 1B, C) Peters et al., 2021). A representative image of a Pseudomonas aeruginosa PAO1 depletion aggregate produced by exposure to the model polymer polyethylene glycol (PEG) is shown in Figure 1D.
Depletion aggregation is a spontaneous process driven by physical forces generated in environments with high concentrations of polymers. Thus, if bacteria and polymer concentrations are high enough, aggregation via depletion will occur as a default and obligatory outcome unless mechanisms like mechanical disruption or bacterial motility (Schwarz-Linek et al., 2012) produce stronger counteracting forces to disperse cells. Likewise, diluting the polymers will reduce the osmotic force holding the aggregates together and result in aggregate dispersal unless other cell-to-cell adhesion interactions supervene.
Previous work has shown that the concentrations of hostderived polymers like mucin, DNA, and F-actin found at infection sites can cause bacterial depletion aggregation in a similar manner to model polymers like PEG, and that depletion aggregation induces an antibiotic-tolerance phenotype in P. aeruginosa (Secor et al., 2018). Here we investigated whether the depletion mechanism can actuate durable cell-to-cell adhesion of suspended bacteria by the exopolysaccharides implicated in the formation of surface-attached P. aeruginosa biofilms. We also investigated how depletion aggregation affects interactions between bacterial species that are found together in some settings such as the infected CF lung.

Chemicals/Growth Media/Strains
Growth media (Lysogeny broth, LB), polyethylene glycol MW 2,000 and 35,000 Da, and antibiotics were purchased from Sigma. Strains and their sources are listed in Table 1.

PEG-Induced Depletion Aggregation of Bacteria
For PEG-induced depletion aggregation, bacteria were added at the indicated densities to either LB diluted 4:6 with distilled water or LB diluted with 50% PEG 35 kDa (w/vol) prepared in distilled water to ensure that nutrient concentrations were the same in dispersed and aggregated conditions. LB was diluted with water or 50% w/vol PEG 35 kDa for all experiments described unless noted otherwise. Cultures were then incubated on a roller (60 rpm) at 37°C unless indicated otherwise.

Aggregate Reversibility Assays
The indicated bacterial strains in Figure 2 were grown overnight in LB at 37°C with shaking. One hundred µl of overnight cultures were used to inoculate 3 ml of LB+PEG 35 kDa. After 18-h of growth, 100 µl of the indicated cultures were removed to a 1.5 ml tube containing 900 µl of either 1x PBS or PBS supplemented with 30% w/vol PEG 35 kDa and vortexed. PBS was used to facilitate imaging. Imaging was performed on 50 µl culture aliquots pre-and post-dilution using a Leica DM1000 LED microscope by spotting onto a glass slide. Aggregate dispersal was either scored i) by eye as either aggregated or dispersed by comparing to undiluted control cultures. Aggregate reversal assays shown in Figure 3 were performed as follows: P. aeruginosa PAO1 or DpelA/pslBCD/algD constitutively expressing YFP were grown overnight in LB at 37°C, spun down, and washed and resuspended in PBS at 1x10 9 CFU/ml. Bacteria were added at a 1:1 ratio to either an 8% (w/vol) solution of mucin (porcine gastric mucin) and 4 mg/ml DNA (HMW, salmon sperm DNA) in PBS or a 30% (w/vol) solution of PEG 35k in PBS. Cultures were incubated on a roller (60 rpm, 37°C) for 15 or 120 minutes. Bacteria (50 ul) were diluted with 200 ul PBS and mixed by inverting the tube. 20ul of diluted (or undiluted) cultures were placed onto a slide and bacteria were imaged (YFP) such that aggregates were bright and had a distinct defining border from any background. Aggregate area was calculated using Velocity's (Improvision) find object tool using intensity and a minimum aggregate size of 16.64 µm 2 (40 pixels). The mean are ± SD of at least 100 aggregates per replicate was then calculated.

Bacterial Competition Assays
S. aureus SH1000 (Horsburgh et al., 2002) and P. aeruginosa PAO1 (Holloway et al., 1979) were grown overnight at 37°C with shaking in LB broth. S. aureus and P. aeruginosa were pelleted and resuspended at 10 8 CFU/ml in fresh LB broth. One hundred µl of each culture was added to 2 ml LB supplemented with either 30% w/vol PEG (35 kDa or 2 kDa) where indicated. Bacteria were grown in co-culture for 18 h and viable bacteria were enumerated by serial dilution and plating on LB plates. For experiments investigating the effects of quorum-regulated antimicrobials on S. aureus killing, P. aeruginosa PAO1 or DlasR/rhlR (Siehnel et al., 2010) were grown overnight at 37°C with shaking in 50 ml LB broth in a 250 ml flask. Bacteria were removed by centrifugation (10 minutes, 9,000 x g) and supernatants were filter sterilized using bottle top vacuum filters with 0.2 µm pore size (Millipore). PEG 2 kDa or 35 kDa was added to these supernatants to a final concentration of 30% w/vol where indicated. S. aureus was inoculated into P. aeruginosa supernatants at 10 8 CFU/ml and  et al., 2006), and B. thailandensis E264 (Yu et al., 2006) were grown overnight at 37°C with shaking in LB broth. Bacteria were resuspended in fresh LB at 10 9 CFU/ml. One hundred µl containing 1x10 8 CFU P. aeruginosa PAO1 or DclpV1 and 100 µl containing 2.0x10 7 CFU B. thailandensis were added to 800 µl LB or the indicated polymer solutions and incubated in co-culture for 24 h at 37°C on a roller at 60 rpm. Viable bacteria were enumerated by serial dilution and plating on LB plates. For fluorescent imaging of aggregates, strains PAO1 or DclpV1 constitutively expressing GFP (PAO1 attTn7::GFP (Choi and Schweizer, 2006),) were co-cultured with B. thailandensis E264 attTn7::mCherry for 24 hours (LeRoux et al., 2012).

Fluorescent Microscopy
S. aureus SH1000 carrying the fluorescent reporter pCE-SarA-mCherry (Malone et al., 2009), P. aeruginosa PAO1 attTn7::GFP, PAO1 attTn7::TFP (Zhao et al., 2013), PAO1 attTn7::YFP (Zhao et al., 2013), E. coli carrying pUCP18-mCherry , B. cenocepacia K56-2 attTn7::GFP (Varga et al., 2013) and B. thailandensis E264 attTn7::mCherry were co-cultured as indicated. Depletion aggregates assembled from dead bacteria were prepared by washing and resuspending overnight cultures of PAO1 YFP or PAO1 TFP in PBS at a concentration of 10 9 CFU/ ml. Formaldehyde (16%, Thermo) was added slowly to bacteria while vortexing to a final concentration of 4% vol/vol. Bacteria were allowed to fix for 30 minutes with constant mixing to prevent bacteria from clumping. Cells were then centrifuged for 10 minutes at 9,000 x g, washed twice with PBS, and resuspended in 1 ml PBS. Complete bacterial killing was confirmed by plating fixed bacteria on LB agar. One hundred µl of the indicated fixed strains were added to 2 ml PBS or PBS+30% PEG 35 kDa. Bacteria were incubated in a 37°C in a roller at 60 rpm. Samples were removed and visualized on a glass slide at the indicated times using a Zeiss LSM 510 confocal laser-scanning microscope. Image series were processed using Volocity (Improvision).

A B D C
FIGURE 3 | Depletion aggregate dispersal phenotypes of P. aeruginosa in PEG or mixtures of mucin/DNA. (A, B) Fluorescent P. aeruginosa PAO1 (wild type) or (C, D) the exopolysaccharide triple mutant DpelA/pslBCD/algD were aggregated by either PEG 35 kDa or a mixture of mucin and DNA. Fifteen-or 120-minutes post-aggregation, cultures were diluted 10X with PBS; fluorescent images were acquired immediately pre-and immediately post-dilution. The area of fluorescent aggregates was measured using Velocity image analysis software. The mean ± SD of at least 100 aggregates per replicate (n = 4) is shown, **P<0.01, ***P<0.001, Student's t-test. See representative aggregate images in Figure S3.

RESULTS
Depletion Aggregation can Actuate Cell-Cell Adhesion by Exopolysaccharides.
P. aeruginosa encodes three exopolysaccharides: Pel is a cationic polymer composed of partially acetylated N-acetylgalactosamine and N-acetylglucosamine (Jennings et al., 2015), Psl is a neutral polymer containing glucose, mannose, and rhamnose (Byrd et al., 2009), and alginate is a negatively-charged polymer composed of mannuronic and guluronic acid (Pedersen et al., 1992;Gibson et al., 2003). We first tested wild-type P. aeruginosa PAO1 that encodes all three exopolysaccharides (Colvin et al., 2012;Wiens et al., 2014). As seen previously, wild-type P. aeruginosa exposed to the model polymer PEG (35 kDa) rapidly aggregated via the depletion mechanism, but disaggregated when polymers were diluted by adding PBS (Figure 2A). Adding PEG did not disperse aggregates, implicating polymer dilution rather than physical disruption in disaggregation ( Figure S1). Notably, wild-type P. aeruginosa aggregates held together by PEG exposure for as long as 18 hours disaggregated upon polymer dilution with PBS ( Figure 2A and Figure S2). Reversibility with dilution is a hallmark of depletion aggregation, as it is driven by a reduction in crowding effects of environmental polymers.
Thus, in the conditions tested, wild-type P. aeruginosa did not activate bacterially-driven adhesive mechanisms to maintain aggregation.
Expression of exopolysaccharides is a key step in surface adherence and aggregation in surface-associated biofilms (Mann and Wozniak, 2012), so we reasoned that strains overproducing exopolysaccharides might remain aggregated after polymer dilution. To test this, we aggregated P. aeruginosa PAO1 overproducing alginate, Pel, or Psl, and investigated whether PBS dilution caused dispersal. Alginate overproduction was achieved via a mutation in an anti-sigma factor gene regulating alginate (PAO1 mucA22), and Pel or Psl overproduction was achieved using Pel or Psl genes on an inducible promoter (PAO1 P BAD -Psl and PAO1 P BAD -Pel).
After 18 hours of depletion aggregation, wild-type PAO1 and PAO1 overproducing alginate (PAO1 mucA22) readily dispersed after polymer dilution (i.e. PBS addition) (Figures 2A, B) whereas the strains over-expressing Pel and Psl did not ( Figures 2C, D and Figure S2). These findings indicate that cells aggregated by the depletion mechanism that have Pel and Psl expression induced can remain aggregated after depletion promoting-conditions are reversed.
To determine if the differential effects of alginate verses Pel and Psl on aggregate stability were generalizable to strains other than PAO1, we studied P. aeruginosa clinical isolates taken from people with CF. CF strains can evolve exopolysaccharide overexpression phenotypes (Smith et al., 2006). Pel or Psl overexpression is known to produce a rugose small-colony morphology (Starkey et al., 2009) whereas strains that overproduce alginate are mucoid (Pedersen et al., 1992).
All 10 P. aeruginosa CF clinical isolates tested that had a rugose colony morphology formed dilution-resistant aggregates in PEG ( Figure 2E and Table 2), whereas all (9/9) alginateoverproducing clinical isolates (i.e. mucoid strains) had a reversible aggregation phenotype ( Figure 2F and Table 2). These results with exopolysaccharide-overproducing clinical isolates are consistent with findings using engineered PAO1 strains (see above) and suggest that induced expression of Pel and Psl, but not alginate, enable aggregates formed by the depletion mechanism to remain intact after depletion-promoting conditions are reversed. Different chemical compositions or physical properties of bacterial exopolysaccharides such as charge may explain these differences. Previous work shows that non-adsorbing biological polymers can produce depletion aggregation of bacteria like PEG does (Dorken et al., 2012;Secor et al., 2018). However, polymers found at infection sites can also induce biological responses in bacteria that have consequences for aggregation whereas PEG is considered to be relatively inert (Banerjee et al., 2012). For example, exposure to mucin can induce the expression of P. aeruginosa genes important in infection pathogenesis Wang et al., 1996). Our previous work indicates that depletion aggregates formed in vitro by exposing P. aeruginosa to mixtures of mucin and DNA are comparable in size to aggregates formed by PEG (Secor et al., 2018). These observations led us to investigate whether depletion aggregates induced by biological polymers exhibit dispersal after polymer dilution, like aggregates induced by PEG.
To test this, we induced depletion aggregation using a mixture of mucin and DNA, which are major polymers in lung secretions (i.e. sputum) from people with CF. In these experiments we used concentrations found similar to those in vivo (mucin at 4% w/vol and DNA at 2 mg/ml) (Secor et al., 2018), and fluorescentlytagged bacterial strains because mucin/DNA mixtures are opaque (PEG is transparent), and assayed several hundred aggregates per condition. Similar to PEG, mucin and DNA mixtures aggregated wild-type PAO1 and PBS addition 15 minutes later caused aggregate dispersal ( Figure 3A; Figure  S3). However, when we extended the period of polymer aggregation to 120 minutes, wild-type PAO1 that had been aggregated in mucin/DNA mixtures remained intact after PBS dilution and mixing by vortexing ( Figure 3B; Figure S3), whereas those that had been aggregated in PEG dispersed ( Figure 3B). These results suggest that the aggregates that survive dilution by PBS and mixing are stable and in a steady state.
Our finding that induced expression of Pel and Psl makes depletion aggregates dilution-resistant led us to investigate whether self-produced exopolysaccharides mediated the dilutionresistant phenotype of aggregates induced by mucin and DNA. We tested this using PAO1 in which biosynthetic genes of all three exopolysaccharides had been inactivated (PAO1DpelA/pslBCD/ algD) and found that the mutant lacking exopolysaccharides genes dispersed upon dilution with PBS regardless of whether aggregation was induced by PEG or the mucin/DNA mixture ( Figures 3C, D). Collectively, these results suggest that depletion aggregation can actuate cell-cell adhesion by some P. aeruginosa exopolysaccharides, and that depletion aggregation by polymers present at infection sites can initiate the formation of aggregates that remain intact after depletion-mediating conditions are reversed provided exopolysaccharide genes are intact.

Cell Shape Is Associated With Species Distribution in Depletion Aggregates
Theory predicts that bacteria aggregated by the depletion mechanism will be arranged to minimize the amount of volume occupied (Poon, 2002), as efficient packing will increase the space available for polymers and the concomitant entropy gains. This effect should cause bacteria with similar shapes to be arranged together, and bacteria with different shapes to separate, unless other external forces or bacterial activity intervene. To test this hypothesis, we mixed P. aeruginosa, Burkholderia cenocepacia (rod), Escherichia coli (rod), and Staphylococcus aureus (a coccus) bearing different florescent labels in various combinations in PEG and examined species distribution by microscopy.
Polymer-mediated depletion aggregation caused coccishaped species (S. aureus) to segregate from rods (P. aeruginosa and B. cenocepacia). Two patterns of segregation were observed. In some cases, entire aggregates appeared to be composed of a single species (i.e either rods or cocci) without an appreciable presence of the differently shaped species ( Figure 4A). In other cases, sections of mixed-species FIGURE 4 | Depletion aggregation spontaneously segregates bacteria with different cell shapes. Equal numbers of the indicated species (10 9 CFU/ml each) were mixed prior to the addition of PEG 35 kDa to induce depletion aggregation. After 18 hours, aggregates were imaged by fluorescent microscopy. Representative images of depletion aggregates composed of (A) P. aeruginosa expressing GFP and S. aureus expressing mCherry, (B) S. aureus expressing mCherry and B. cenocepacia expressing GFP, (C) P. aeruginosa expressing either YFP or CFP, or (D) P. aeruginosa expressing GFP and E. coli expressing mCherry are shown.
aggregates were composed primarily of either the rod or coccishaped species, as shown with S. aureus and B. cenocepacia ( Figure 4B). Similar results were seen using mixtures of formalin-killed P. aeruginosa and S. aureus, and with P. aeruginosa mixed with 2 µm diameter spherical beads similarly sized as S. aureus (Figures S4A, B). Thus, bacterial activity is not required for species segregation under the conditions tested.
In contrast, depletion aggregation caused bacteria with similar cell shapes (i.e. differentially labeled P. aeruginosa with P. aeruginosa, or P. aeruginosa with E. coli) to intermix ( Figures 4C, D). These experiments, along with previous work using inert particles (Adams et al., 1998), show that physical forces mediating depletion aggregation cause like-shaped bacteria to intermix, and differently shaped bacteria to separate. The physical arrangement of bacterial species in aggregates can affect competitive and cooperative interactions (see below).

Depletion Aggregation Promotes Antimicrobial Tolerance in S. aureus.
Our finding that depletion aggregation can determine the physical arrangement of species within aggregates led us to investigate its effects on interspecies interactions. P. aeruginosa and S. aureus are often co-isolated from CF airways (Harrison, 2007;Hauser et al., 2011) and wounds (Kirketerp-Moller et al., 2008;DeLeon et al., 2014) for long durations. However, in laboratory co-cultures, P. aeruginosa rapidly inhibits S. aureus by quorum-regulated antimicrobials such as rhamnolipids, hydrogen cyanide, phenazines, quinolones, and others (Mavrodi et al., 2001;Deziel et al., 2004;Mashburn et al., 2005;Palmer et al., 2005;Schuster and Greenberg, 2006). Because aggregation can increase antimicrobial tolerance (Haaber et al., 2012;Staudinger et al., 2014), we hypothesized that depletion aggregation could enhance the ability of S. aureus to co-exist with P. aeruginosa.
Similar to previous studies (Mavrodi et al., 2001;Deziel et al., 2004;Mashburn et al., 2005;Palmer et al., 2005;Schuster and Greenberg, 2006), we found that wild-type P. aeruginosa severely inhibited S. aureus in non-aggregated broth co-cultures ( Figure 5A), and inhibition was diminished if quorum sensing was genetically inactivated (i.e. using DlasI/rhlI PAO1) ( Figure 5A, compare white bars). However, in co-cultures where PEG or mucin/DNA was used to induce depletion aggregation, the competitive index of wild-type P. aeruginosa over S. aureus was reduced by greater than 10-fold ( Figure 5A, gray and black bars).
Previous work indicating that depletion aggregation caused marked tolerance of P. aeruginosa to pharmaceutical antibiotics (Secor et al., 2018) led us to investigate whether depletion aggregation could cause S. aureus to become insensitive to antimicrobials produced by P. aeruginosa. We tested this by exposing dispersed and depletion-aggregated S. aureus to filter-sterilized P. aeruginosa planktonic culture supernatants. Supernatants from wild-type P. aeruginosa killed 10-fold more dispersed S. aureus than aggregated S. aureus ( Figure 5B), whereas supernatants from P. aeruginosa DlasI/rhlI did not kill dispersed or aggregated S. aureus ( Figure 5C). Control experiments indicate that PEG did not diminish the antimicrobial activity of wild-type P. aeruginosa supernatants ( Figure S5). These results suggest that depletion aggregation may promote co-existence of P. aeruginosa and S. aureus by enhancing S. aureus tolerance to quorum-regulated antimicrobials secreted by P. aeruginosa. It is also possible that decreased production of antimicrobial factors by aggregated P. aeruginosa contributes to species co-existence in aggregates.

Depletion Aggregation Promotes Contact-Dependent Bacterial Antagonism
In addition to secreted factors, P. aeruginosa and other bacteria also possess competitive mechanisms that depend upon direct cell-to-cell contact. One mechanism is type VI secretion (TSS) in which a needle-like apparatus delivers toxins and effectors into neighboring cells (Mougous et al., 2006). Our finding that depletion aggregation causes like-shaped bacterial cells to intermix in aggregates led us to hypothesize that depletion aggregation could promote TSS-mediated bacterial antagonism.
To test this, we mixed P. aeruginosa (which is capable of TSS antagonism) with Burkholderia thailandensis, a TSSsusceptible rod-shaped Gram-negative bacterium (LeRoux et al., 2012) at a 5:1 ratio following previously established protocols (LeRoux et al., 2015). In dispersed conditions, no P. aeruginosa-B. thailandensis antagonism was apparent over 24 hours, as the ratio of P. aeruginosa to B. thailandensis remained unchanged at 5:1 ( Figure 6A). In contrast, P. aeruginosa outcompeted B. thailandensis in depletion aggregates as measured by viable counts ( Figure 6A) and visually assessing differentially-labeled species ( Figure 6B). Notably the aggregation-induced competitive advantage of P. aeruginosa was eliminated by genetically inactivating TSS [i.e. PAO1 DclpV1 (Figure 6C)]. The reduced fluorescent signal of B. thailandensis could be due to cell death or inhibition. Taken together, these results demonstrate that depletion aggregation can facilitate contact-dependent mechanisms of bacterial antagonism.

DISCUSSION
Pathogens causing chronic infection like those in CF airways and wounds are generally found in aggregates suspended in polymerrich secretions (Costerton et al., 1995;Singh et al., 2000;Worlitzsch et al., 2002;Kirketerp-Moller et al., 2008;Bjarnsholt et al., 2009;Fazli et al., 2009;Bjarnsholt et al., 2013;DePas et al., 2016;Stacy et al., 2016;Sonderholm et al., 2017;Bay et al., 2018;Kim et al., 2020;Jennings et al., 2021). Our previous work shows that physical forces produced by polymers found at infection sites can cause bacteria to form suspended aggregates by the depletion mechanism, and depletion aggregation produces antimicrobial tolerance phenotypes (Secor et al., 2018). In this study we found that depletion aggregation can (i) actuate bridging interactions mediated by two of P. aeruginosa's selfproduced biofilm polysaccharides, (ii) cause bacteria with similar shapes to intermix and bacteria with different shapes to segregate, and (iii) can influence the outcome of bacterial competition mediated by secreted factors and cell-to-cell contact.
Surface attachment induces biofilm formation via several mechanisms. Sensing and adhering to surfaces induces physiological responses important in biofilm growth, and attachment keeps nascent biofilm-forming cells from dispersing (from random movement or fluid flows) giving selfproduced matrix material the opportunity to bind cells together . Our work raises the possibility that the depletion mechanism can serve similar functions for suspended aggregates as attachment surfaces serve for biofilms. For example, previously we found that like surface attachment (Wood and Ohman, 2009), depletion aggregation can induce stress responses in P. aeruginosa that mediate antibiotic tolerance (Secor et al., 2018). Our current experiments show that depletion aggregation also brings suspended cells together and can promote cell-cell adhesion by selfproduced exopolysaccharides.
One important caveat is that when PEG was used to induce depletion aggregation, exopolysaccharide overexpression was required as wild-type P. aeruginosa PAO1 capable of producing exopolysaccharides did not produce aggregates that remained intact after polymer dilution, even after long exposures to PEG. However, when mucin/DNA mixtures were used to induce depletion aggregation, wild-type P. aeruginosa did exhibit durable aggregation that was resistant to dispersal by dilution. Notably, P. aeruginosa strains constitutively expressing exopolysaccharides can be isolated from infected CF subjects (Starkey et al., 2009), and it is possible that in vivo conditions (such mucin and DNA in CF airway secretions) could induce exopolysaccharide expression to produce durable aggregation.
Our findings also have implications for interspecies interactions that may occur in infections. The experiments showing that depletion aggregation increases tolerance of S. aureus to antimicrobials produced by P. aeruginosa ( Figure 7A) could help explain how P. aeruginosa and S. aureus can co-exist in chronic infections like wounds and CF lungs (Fischer et al., 2021), but are difficult to maintain in liquid co-cultures in the laboratory. While the underlying mechanism remains to be characterized, our previous work showing that depletion aggregation induces the SOS stress response in P. aeruginosa (Secor et al., 2018) raises the possibility that a similar phenomenon operates in S. aureus (Anderson et al., 2006;Gardete et al., 2006). If general stresses were induced, aggregated S. aureus may exhibit tolerance to other environmental stresses including antibiotics. It is also possible that aggregated P. aeruginosa produce less antimicrobials compared to planktonic cultures, and this may also contribute to co-existence. The species could have wide ranging effects. One consequence we demonstrated is enhanced efficacy of TSS-mediated inhibition of rod shaped Burkholderia sp. by rod-shaped P. aeruginosa, as TSS is dependent upon species intermixing and prolonged cell-to-cell contact ( Figure 7B). Such interactions could contribute to the ability of P. aeruginosa to dominate other rod-shaped CF pathogens such as Haemophilus influenzae and Stenotrophomonas maltophilia (Harrison, 2007;Coutinho et al., 2008;Hauser et al., 2011;Schwab et al., 2014;Jorth et al., 2015). Depletion aggregation could likewise affect other closerange mechanisms that depend on contact or have short diffusion distances (like oxidants), depending on whether species are of similar or dissimilar shapes. In addition, in settings where depletion aggregation is maintained for long durations (i.e. polymers are continuously present), the effects of depletion aggregation on species arrangement could shape coevolutionary trajectories of species, as the within-aggregate arrangement of cells likely affects selection, competition, and cell migration.
In addition to bacteria that cause infection, depletion aggregation may also affect interactions between commensal bacterial species. Recent work examining TSS in Vibrio fischeri as it transitions from life in an aquatic environment to colonization of the squid host reveals that viscous, polymerrich host conditions promote both V. fischeri aggregation and TSS activation, which increases fitness against competing bacteria during initial stages of host colonization (Speare et al., 2020). The addition of the polymer polyvinylpyrrolidone (PVP) to V. fischeri cultures in vitro was used to increase the viscosity of the growth medium to experimentally validate TSS activation. Notably, PVP also induces depletion aggregation of inert bacteria-sized colloids (McFarlane et al., 2010). It would be interesting to dissect the contributions of viscosity and depletion aggregation on bacterial aggregate assembly and interspecies competition in both pathogenic and commensal settings.
Our study had several limitations. In some experiments we used a non-biological polymer (PEG) at a specific concentration (30% w/vol) with a defined molecular weight (PEG 35 kDa) to induce depletion aggregation. Use of a defined polymer limited variability and the transparency of PEG enhanced microscopy. We confirmed key findings with biological polymers (mucin and DNA), but for feasibility reasons we used porcine gastric mucin and salmon sperm DNA which are supplied as lyophilized powders. Thus, it is possible that biological polymers could produce different results in vivo. We think this is unlikely because polymers with disparate chemical properties produce depletion aggregates with similar morphologies and tolerance phenotypes (Secor et al., 2018).
We also recognize that varying polymer size and molecular weight will affect the strength of the aggregating force by changing osmotic pressure. Furthermore, the presence of multivalent cations could introduce polymer-polymer bridging interactions that would affect results, and these variables were not examined here. We also only explored intermixing in rodshaped bacteria; it is likely that intermixing also occurs in populations of cocci-shaped bacterial species, which would be consistent with experiments using inert colloidal particles (Li et al., 2020). An additional limitation was that our experiments used laboratory strains and a handful of P. aeruginosa clinical FIGURE 7 | Model depicting how depletion aggregation affects bacterial competition and species distribution in aggregates. (A) Depletion aggregation causes bacteria with different cell shapes to spontaneously segregate. When P. aeruginosa and S. aureus were co-cultured under conditions promoting depletion aggregation, S. aureus aggregates tolerated antimicrobials secreted by P. aeruginosa, promoting species coexistence. (B) When two rod-shaped species such as P. aeruginosa and B. thailandensis are aggregated by the depletion mechanism, species segregation is not observed and contact-dependent TSS-mediated killing is promoted, allowing P. aeruginosa to dominate.
isolates. Clinical isolates with different biological characteristics could affect depletion-mediated bacteria-bacteria interactions. For example, recent work demonstrates that LPS O-antigen modifications in P. aeruginosa change cell surface hydrophobicity, which may disrupt the tightly-packed and ordered cell arrangements characteristic of depletion aggregates (Azimi et al., 2021). Other surface modifications that affect surface charge could also affect depletion-mediated bacteriabacteria or bacteria-polymer interactions. Finally, we did not explore the contributions of pili, flagella, adhesins, or exopolysaccharide binding proteins such as CdrA (Borlee et al., 2010), which could be important in stabilizing bacterial aggregates formed by PAO1 or by clinical P. aeruginosa isolates.
Much research in model systems has been devoted to understanding bacterial sensing and signaling pathways, purpose-evolved genetic programs, and cooperation behaviors that shape bacterial phenotypes important in chronic infections. The data presented here show that physical forces inherent to polymer-rich environments can have marked effects on complex bacterial behaviors including aggregation, stress survival, and interspecies competition. New strategies to manipulate pathogenesis phenotypes will require understanding the relative contributions of bacterially-driven processes and mechanisms caused by physical forces in the environment.

DATA AVAILABILITY STATEMENT
The original contributions presented in the study are included in the article/Supplementary Material. Further inquiries can be directed to the corresponding author.

AUTHOR CONTRIBUTIONS
All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.

FUNDING
NIH grants K22AI125282, R01AI138981, and P30GM140963 to PRS; R01HL141098-01A1 to PKS. Isolates were provided by the Clinical Core of UW's CF Foundation sponsored Research Development Program (SINGH19R0).

ACKNOWLEDGMENTS
We are grateful to Joseph Mougous for sharing the clpV1 mutant and Burkholderia strains.
Supplementary Figure 2 | Depletion aggregate dispersal phenotypes of P. aeruginosa PAO1 and PAO1 pBAD::Pel. Aggregate dispersal of wild-type and pBAD::Pel strains was measured. Depletion aggregation was induced with 30% w/ vol PEG 35 kDa for 18 hours. Depletion aggregates were then diluted 10X with PBS and representative images were acquired pre-dilution and 10-and 60-seconds post-dilution.
Supplementary Figure 3 | Depletion aggregate dispersal phenotypes of P. aeruginosa in mixtures of mucin and DNA. Aggregate dispersal of fluorescent P. aeruginosa PAO1 was measured. Depletion aggregation was induced with 4% w/ vol mucin and 2 mg/ml DNA for 15 or 120 minutes. Depletion aggregates were then diluted 10X with PBS and images were acquired immediately pre-and immediately post-dilution. Representative images are shown.
Supplementary Figure 4 | Depletion aggregation operates on dead cells and inert latex beads. (A, B) Depletion aggregation was induced with 30% w/vol PEG 35 kDa using combinations of the indicated species of dead formalin-fixed bacteria. Fluorescent microscopy was used to image aggregates after 18-h of growth. Bar, 30 µm. (C) P. aeruginosa (white arrows) and fluorescent spherical latex beads (2 µm diameter, black arrows) were aggregated using 30% w/vol PEG 35 kDa for 18-h and imaged using fluorescent and brightfield microscopy. Bar, 30 µm.
Supplementary Figure 5 | PEG does not inactivate antimicrobials present in P. aeruginosa supernatants. One possible explanation for the reduced killing of aggregated S. aureus (see ) was that PEG somehow inactivated antimicrobials present in wild-type P. aeruginosa supernatants. To address this possibility, we used a lower molecular weight PEG (PEG 2 kDa). As polymer molecular weight decreases, the polymer concentration required to induce depletion aggregation of a given number of cells increases. Thus, PEG 2 kDa does not promote depletion aggregation at 30% w/vol. Dissolving PEG 2 kDa into wild-type P. aeruginosa supernatants did not affect S. aureus inhibition in supernatants collected from (A) wild-type or (B) DlasR/rhlR overnight cultures compared to polymer-free controls, indicating that PEG did not inactivate antimicrobials present in P. aeruginosa supernatants.