Collaborative protein filaments

It is now well established that prokaryotic cells assemble diverse proteins into dynamic cytoskeletal filaments that perform essential cellular functions. Although most of the filaments assemble on their own to form higher order structures, growing evidence suggests that there are a number of prokaryotic proteins that polymerise only in the presence of a matrix such as DNA, lipid membrane or even another filament. Matrix-assisted filament systems are frequently nucleotide dependent and cytomotive but rarely considered as part of the bacterial cytoskeleton. Here, we categorise this family of filament-forming systems as collaborative filaments and introduce a simple nomenclature. Collaborative filaments are frequent in both eukaryotes and prokaryotes and are involved in vital cellular processes including chromosome segregation, DNA repair and maintenance, gene silencing and cytokinesis to mention a few. In this review, we highlight common principles underlying collaborative filaments and correlate these with known functions.


Introduction
During the last two decades, it has been firmly established that prokaryotes, archaea and bacteria, like eukaryotes, possess a diverse set of highly dynamic "cytoskeletal elements" that control vital cellular processes such as cell division, DNA segregation and cell shape maintenance. In the absence of molecular motors, formation of nucleotide-driven, dynamic filaments is an effective way to exert force, induce curvature, push and pull cargos and maintain shape and, hence, these have been classed as cytomotive filaments Wickstead & Gull, 2011;Pilhofer & Jensen, 2013). Non-cytomotive (non-dynamic) filament systems exist in prokaryotes too, and they tend to fulfil more static, scaffolding roles (Ausmees et al, 2003;Lin & Thanbichler, 2013).
Based on structural similarities and sequence homology, prokaryotic cytoskeletal elements can be primarily grouped into four major classes: tubulin-like, actin-like, coiled coil-containing and others that are not homologous to any of the previous classes Lin & Thanbichler, 2013).
Amongst those filament classes exists a subset of conserved filament systems that do not always polymerise on their own but form higher order oligomeric structures in the presence of a matrix or scaffold such as DNA, lipid membrane bilayer or even another filament (Dunn et al, 1982;Leonard et al, 2005;Hui et al, 2010;Oliva et al, 2010;Szwedziak et al, 2012;van den Ent et al, 2014). These assisted filament-forming systems are often dynamic and nucleotide dependent and rely on surface composition/topology for polymerisation.
Because principles and properties are shared between matrixassisted filaments and those that copolymerise with another filament, we now categorise these filaments as "collaborative".
Collaborative filaments are equally common in eukaryotes, and as part of this review, we list a small number of examples from all kingdoms of life. Although prevalent in both eukaryotic and prokaryotic systems, collaborative filament systems are often not considered as "cytoskeletal elements", further highlighting the imprecise nature of this term, which originated from historical observations of the three major filament classes in eukaryotes. In fact, with a growing list of complex filament systems in bacteria, the very definition of a cytoskeleton is problematic for highly dynamic, cytomotive filaments. Hence, the following two pairs of antonyms can be defined: cytomotive versus cytoskeletal and independent versus collaborative filaments. From the examples below, it will become clear that all four combinations exist.

A simple filament nomenclature
Since ever more filament systems with new architectures are being discovered, we propose to introduce a nomenclature to be able to describe the various filament architectures in short and unambiguous terms (Table 1). All known filament systems, including complex ones such as microtubules and the most complex membrane:MinCD:FtsZ filament system (Ghosal et al, 2014), can be described using this nomenclature system. Superscript N denotes polymerisation, and nucleotide binding for cytomotive filaments is indicated by subscript, with NXP standing for nucleotide that will be hydrolysed by the filament to produce cytomotive behaviour. Colon denotes binding of subunits to each other, or a matrix or scaffold, and brackets are used to group these until no ambiguity remains, for example in the case of alternating copolymers such as MinCD or microtubules. Finally, at the start, the number of protofilaments is given as a number with subscript P or A denoting parallel or antiparallel architectures, as found amongst the actin-like proteins, for example.

Why collaborative filaments?
Collaborative filaments utilise a matrix or scaffold for assembly, such as DNA, membrane or even another protein filament. The obvious question to ask is "why do these types of filaments use or even require a surface in contrast to independent filaments that spontaneously assemble to form higher order structures?" For filaments to form, subunits have to come together to form a joint interface, burying hydrated surfaces. The energy gained from binding to each other has to overcompensate for the loss of hydration energy. For filaments with more than one protofilament (sometimes referred to as strands), lateral contacts between protofilaments exist in addition to the longitudinal contacts. For example, actin and ParM can be thought of as a double helical filament of two, parallel protofilaments: 2 P (ParM AXP ) N (Gayathri et al, 2012). For these filaments to form, longitudinal contacts along the protofilaments as well as sometimes much weaker lateral contacts between the protofilaments are required and both are critical for polymerisation ( Fig 1B) (Alushin et al, 2014;Bharat et al, 2015;von der Ecken et al, 2015).
Collaborative filaments instead form lateral bonds with a matrix, scaffold or a different type of protein filament.
In the case of a permanent matrix, such as lipid membrane or DNA, this has important consequences for the formation of the resulting collaborative filaments (Fig 1). Since the matrix provides binding energy as subunits directly bind to it laterally, filament formation may be restricted to the matrix surface, depending on the relative strengths of the longitudinal and lateral bonds formed. The matrix reduces the critical concentration for collaborative filament assembly by providing additional binding of subunits onto the surface and also by restricting subunit diffusion in two dimensions. In the case of linear, single-stranded filament assembly (also known  Superscript N denotes polymerisation of the monomer A and NXP stands for nucleotide (ATP/ADP/GTP/GDP etc) that may be hydrolysed by a cytomotive filament. Colon represents binding of subunits to each other or to a matrix or scaffold, and brackets are used to group these interactions until there is no ambiguity. The number of protofilaments is indicated at the very beginning with a subscript P or A implying parallel or antiparallel arrangement. (A) In simple isodesmic assembly, there is no cooperativity effect. (B) For filaments with more than one protofilament (strand), assembly is enhanced by lateral contacts between subunits from different protofilaments. These intrafilament interactions (two-way black arrows) produce cooperativity. (C, D) An isodesmic filament system acquires cooperativity when it associates with a matrix such as membrane or DNA. The collaborative filaments could be considered as quasiequivalent to multi-stranded filament systems since interactions with the matrix (indicated by two-way red arrow) are equivalent to lateral interactions within a multi-stranded filament. (E) When a multi-stranded filament associates with a matrix, in addition to the longitudinal and lateral interactions between subunits (indicated by two-way black arrows), there are also interactions with the matrix (indicated by two-way red arrow). All of these result in complex cooperative behaviour. (F) In an even more complex situation, two different multi-stranded filaments could copolymerise on a matrix. This leads to an even higher number of different types of interactions, and there could be cooperative effect within a multi-stranded filament of one type (indicated by two-way black arrows), within the other and between them (indicated by two-way orange arrows), and many of these interactions are facilitated by the interaction with the matrix (indicated by two-way red arrow).

Debnath Ghosal & Jan Löwe
Collaborative protein filaments The EMBO Journal as an isodesmic process) (Fig 1A), when the resulting filaments become collaborative (Fig 1C and D), they need to be considered as multi-stranded and acquire cooperativity and a critical concentration that includes the concentration of monomers and that of the surface (corresponding to the size of the surface, which translates into the number of available lateral binding sites). Cooperativity leads to a nonlinear relationship between monomer concentration and filament formation, simply by attaching the filament to a matrix. In the case of filaments that show cooperative assembly without matrix (Fig 1B), attaching them to a matrix will lead to significantly enhanced cooperativity ( Fig 1E).
In the above instances, the matrix was considered to be a static support. However, studies in eukaryotes and prokaryotes have identified systems where one filament assembles on another pre-formed filament or polymerises together with another type of filament. In these cases, it can be considered that additional lateral interactions are formed between the subunits and because longitudinal binding events in the two or more filaments are different (Fig 1F), and may even have different subunit repeat lengths, very complex behaviour results. For example, the critical concentration becomes a function of two variables and this may result in very large cooperativity effects.
To make things even more interesting, various combinations of collaborative and cytomotive filaments and matrices exist, producing complex systems that may be tailored to specific functions.

Collaborative filaments on DNA
Protein filaments that form on DNA are common and have been found to form on either single-or double-stranded DNA. They are involved in indispensable cellular processes including DNA repair, DNA segregation, chromosome condensation and gene expression regulation (Dunn et al, 1982;Leonard et al, 2005;Lim et al, 2012bLim et al, , 2013. Here, we discuss some of the well-studied nucleoprotein filaments as collaborative filament systems. RecA filaments: DNA repair and maintenance (RecA AXP N :DNA) RecA (Rad51 in eukaryotes) is a DNA-dependent ATPase that forms filaments with single-stranded (ss) or double-stranded (ds) DNA (Fig 2A), and plays a central role in DNA damage repair and homologous recombination (Dunn et al, 1982;Ogawa et al, 1993). RecAmediated homologous recombination occurs in three distinct steps.
In the first step, RecA binds to ssDNA in the presence of ATP, in a highly cooperative manner with one RecA molecule per three to four nucleotides, and forms a right-handed helical nucleoprotein filament. In the second step, the RecA-ssDNA filament then aligns to a homologous dsDNA, and in the final step, the strand exchange reaction takes place coupled with RecA ATP hydrolysis (Lindsley & Cox, 1990). Once initial nucleation has occurred, more RecA subunits are added cooperatively in the 5 0 -3 0 direction in an ATP-dependent manner. Although RecA/Rad51 filament assembly is more like an isodesmic process, interaction with DNA makes this process cooperative. While historically not thought of as cytomotive or cytoskeletal, a cytomotive role of RecA collaborative filaments has recently been discovered as RecA filaments were found to bridge the long distances between sister DNAs in E. coli during DNA doublestranded break repair (Lesterlin et al, 2014).
ParA filament: DNA segregation (ParA AXP N :DNA) ParAB operons are found on many plasmids and on some bacterial chromosomes and are involved in the segregation of DNA by an enigmatic mechanism (Ringgaard et al, 2009;Ptacin et al, 2010;Lim et al, 2014;Vecchiarelli et al, 2014). ParAs have been shown to form ATP-dependent dimers that non-specifically interact with DNA ( Fig 2B and C) (Leonard et al, 2005). ParB from the same par locus stimulates the ATPase activity of ParA and disrupts the ParA-DNA interaction (Leonard et al, 2005). Although some of the earlier studies suggested that ParAs alone form filaments, several more recent studies failed to reproduce these and concluded that ParAs only form filaments on a matrix, and hence, they are collaborative (Suefuji et al, 2002;Ivanov & Mizuuchi, 2010;Ptacin et al, 2010;Vecchiarelli et al, 2010;Lim et al, 2014). Studies with the chromosomal ParA homologue Soj from Thermus thermophilus revealed that it binds to DNA in a nucleotide-dependent manner as a dimer and forms collaborative filaments ( Fig 2B). Binding of Soj to DNA is nonspecific but cooperative (Leonard et al, 2005;Hester & Lutkenhaus, 2007). A very similar example is Vibrio cholerae ParA2 that also forms helical filaments on double-stranded DNA ( Fig 2C) (Hui et al, 2010). It has been proposed that the formation of the ParA-DNA collaborative filament is essential for DNA movement during cell division but the actual mechanism remains elusive, although several models have been proposed (Ringgaard et al, 2009;Howard & Gerdes, 2010;Ptacin et al, 2010;Vecchiarelli et al, 2010).
Dan filaments: DNA condensation (Dan N :DNA) Dan (DNA-binding protein under anaerobic conditions) is a DNAassociated transcription factor that regulates the expression of tartrate dehydratase enzyme by controlling the expression of the ttd operon (Lim et al, 2013). The concentration of Dan in E. coli under normal conditions is low, and Dan binds to the nucleoid in a nonspecific manner with a somewhat higher affinity for GTTNATT sequences (Teramoto et al, 2010). Specific binding only occurs when Dan is bound to L-tartrate. However, under anaerobic conditions, the copy number of Dan increases more than 100-fold. At this high concentration, Dan binds to DNA cooperatively and forms a rigid collaborative filament that causes DNA compaction into complex higher order structures and reduces accessibility ( Fig 2D) (Lim et al, 2013). Although how the Dan/DNA nucleoprotein works in vivo remains unclear, based on the experimental evidence in vitro, it has been suggested that these nucleoprotein filaments play a critical role in DNA protection and gene regulation. Cooperativity of the formation of Dan filaments, caused by their collaborative nature, is used to switch between highly ordered filaments and Dan's function as a non-polymerised, highly specific transcription factor.
H-NS and StpA filaments: gene silencing/regulation (H-NS N :DNA) Heat-stable nucleoid-structuring proteins (H-NS) are a class of nucleoid-associated transcriptional repressors that regulate~5% of E. coli genes (Lim et al, 2012a). Like many other nucleoid-associated proteins, H-NS has been shown to form either stiff collaborative filaments or DNA bridges (Fig 2E), depending on the presence of divalent cations (Liu et al, 2010). Mechanistic insight into how H-NS might cause gene silencing came from atomic force microscopy studies. It has been suggested that H-NS first non-specifically nucleates at the regulatory region of the target gene. Subsequently, more subunits are added cooperatively onto DNA to form a long, StpA, a paralogue of H-NS, also exhibits very similar gene silencing activity by forming a nucleoprotein filament ( Fig 2F). However, in contrast to H-NS, StpA filaments seem to interact with DNA causing DNA bridges (Dame et al, 2005). Therefore, StpA simultaneously induces DNA stiffening and compaction. The mechanism of StpA filament assembly seems to be very similar to H-NS, through initial nucleation followed by cooperative assembly.

Collaborative filaments on lipid membranes
Collaborative filaments also form on lipid membranes, and as for all collaborative filaments, membrane modulates polymerisation by increasing cooperativity and reducing critical concentration. In contrast to DNA, which offers sequence-specific binding, membrane is less defined, although head group-specific binding and membrane curvature provide specificity in some cases that distinguish between different membranes in cells.
Dynamin-like proteins (BDLP1 GXP :BDLP2 GXP ) N :M Dynamins are a class of mechanochemical enzymes found in eukaryotes as well as in some prokaryotes and are involved in the production and sensing of membrane curvature. The dynamin family of GTPases includes classical dynamins, dynamin-like proteins (DLPs), Mx proteins, OPA, mitofusins and GBPs (Low & Löwe, 2006;Bramkamp, 2012). Dynamins form GTP-dependent cooperative filaments on lipid surfaces and at least some act by constriction (Fig 2G). Low et al (2009) showed medium-resolution cryoEM data of a bacterial dynamin-like protein bound to lipid, constricting the lipid membrane into a very small tube. Collaborative assembly ensures that filament formation and GTP hydrolysis are restricted to membranes. Some dynamin systems are complex because in addition to lateral interactions with the membrane, filaments also bind to their neighbours, forming a helix that changes pitch and diameter to constrict the lipid tube inside (Stowell et al, 1999;Low & Löwe, 2010). FtsA is a diverged bacterial actin homologue that directly interacts with the bacterial tubulin homologue FtsZ and anchors the nascent FtsZ ring to the cytoplasmic membrane (Pichoff & Lutkenhaus, 2005). FtsA interacts with the membrane through its C-terminal amphipathic helix. For a long time, it was incorrectly thought that FtsA does not polymerise, despite early reports using Streptococcus pneumonia FtsA (Lara et al, 2005). However, when T. maritima FtsA was applied to a lipid monolayer, it readily formed filaments and sheets, suggesting collaborative assembly ( Fig 2H) (Szwedziak et al, 2012). These filaments showed a very similar repeat distance compared to what was seen in filaments deduced from a crystal structure (Szwedziak et al, 2012). Since non-polymerising FtsA mutants show a severe cell division defect, it was concluded that polymerisation of FtsA is indispensable for its function. Because in cells the number of FtsA molecules is low at~200 copies per E. coli cell (Wang & Gayda, 1992), it is expected that polymerisation will be limited to collaborative assembly on the membrane.
MinCD filaments: cell division inhibitor (MinC 2 :MinD 2 AXP ) N :M In Gram-negative bacteria, the MinCDE septum site selection system comprising of the continuously oscillating proteins MinC, MinD and MinE prevents abnormal polar division. MinD is a Walker A cytoskeletal ATPase (WACA) that recruits MinC, the inhibitor of FtsZ activity, to the membrane and, together, they constitute the active inhibitor complex that prevents polar FtsZ-ring assembly (Hu et al, 2003;Lutkenhaus, 2007). Recently, MinC and MinD have been shown to form alternating copolymeric filaments that bind and decorate membrane (following the linear pattern in a protofilament of -MinC 2 -MinD 2 -) ( Fig 2I) (Ghosal et al, 2014). In cells, the MinC concentration is 40 times lower than that of FtsZ (Dai & Lutkenhaus, 1992;Szeto et al, 2001). It has been proposed that MinCD copolymers inhibit FtsZ-ring assembly either by disrupting interfilament interactions or by affecting structural integrity of FtsZ filaments (Ghosal et al, 2014). Either way, substoichiometric amounts of MinCD could exert a strong inhibitory effect on FtsZ-ring assembly. Collaborative assembly ensures that filaments only form on membrane and enable polymerisation despite the low MinC concentration. The remaining free MinD is thought to engage in the oscillation process with MinE, its ATPase activator.
DivIVA filaments: septum site selection/cell wall addition (DivIVA N :M) DivIVA is a coiled coil-containing peripheral membrane protein in Gram-positive bacteria. It has two primary roles: organising cell growth and coordinating polarity (Meniche et al, 2014;Sieger & Bramkamp, 2014). In B. subtilis, DivIVA has been shown to consistently localise at the cell poles and it also recruits the MinCD cell division inhibitor complex to protect cell poles from aberrant division (Edwards & Errington, 1997;Marston et al, 1998). A recent The EMBO Journal Collaborative protein filaments Debnath Ghosal & Jan Löwe study in mycobacteria suggested that polar localisation of DivIVA is also essential for polar addition of new cell wall (Meniche et al, 2014). DivIVA has been shown to form bone-shaped oligomers that upon longer incubation form a two-dimensional network (Stahlberg et al, 2004). It has been suggested that in vivo, DivIVA senses the negative curvature at the cell poles through its N-terminal domain (Oliva et al, 2010) and forms a polar 2D network that recruits MinCD cell division inhibitors and guides polar localisation. Collaborative assembly with the membrane seems to cause the polar localisation, in which a curved membrane surface will preferentially bind the polymers (Fig 2J), since more binding sites can be satisfied in this way (Lenarcic et al, 2009;van Baarle et al, 2013).
Collaborative filaments involving more than one filament From the above, it becomes clear that collaborative filaments are used to restrict polymerisation to certain areas, to be able to regulate their nucleation and elongation through cooperativity and to exert physical force on the matrix, or to cover it. Interestingly, some collaborative filaments contain a second type of filamentous protein, with separate and different longitudinal interactions (Figs 1F and 3). This leads to an even greater number of interactions, and cooperativity may exist within a multi-stranded filament of one type, within the other and between them, as facilitated by lateral interactions between the two filaments.
Heterogeneous collaborative filaments provide another interesting property: the ability to create curvature since the repeat distances (from subunit to subunit along the two or more longitudinal axes) within the different types of filaments may be different. When such filaments polymerise together or bind laterally to each other, curvature or even helical appearance will be induced. Importantly, homotopic, multi-stranded filaments made from identical subunits will not be able to induce curvature this way, it is a unique property facilitated by collaborative assembly of two different filaments.
FtsA-FtsZ two-filament collaborative filaments: cell division (FtsZ GXP N :FtsA AXP N ):M During bacterial cell division, the cytokinetic FtsZ ring is tethered to the membrane by FtsA, which itself most likely forms short polymers as discussed. This process is collaborative but there is a mismatch of repeat distances between FtsA and FtsZ filaments (~5 and~4 nm, respectively) ( Fig 3A) (Szwedziak et al, 2012). The mismatch causes bending of filaments upon collaborative assembly. Indeed, in vitro reconstitution of the FtsA-FtsZ interaction on liposome surfaces showed that they spontaneously form collaborative filaments on the membrane and induce negative curvature, leading to membrane constriction (Szwedziak et al, 2014). Two-protein collaborative filament systems with a mismatch in subunit repeat lead to force generation without an active bending mechanism in either of the filaments. Cytomotive properties of the participating filaments may be used to disassemble the structure, completing the force-generating cycle.
MinCD-FtsZ two-filament collaborative filaments: cell division inhibition FtsZ GXP N :(MinC 2 :MinD 2 AXP ) N :M Another example of a two-protein collaborative filament system is the MinCD copolymeric filament and FtsZ filament interaction ( Fig 3B). Recently, reconstitution of MinCD-FtsZ interactions on liposome surfaces suggested that the MinCD-FtsZ interaction is cooperative (Ghosal et al, 2014). In contrast to the previously described FtsA-FtsZ interaction, the subunit repeat distances of MinCD (~8 nm) and FtsZ (~4 nm) filaments match in multiples. The result is very little bending, and maybe this is not so surprising as the system is not meant to exert mechanical bending force. Avidity, which is a consequence of the extreme cooperativity between two filaments binding to each other with very many potential lateral interactions linking the two, is probably the main reason why MinCD filaments exist as they make it possible for the cell division inhibitor MinC to only attack FtsZ filaments over free FtsZ monomers. Interestingly, a somewhat similar mechanism has also been proposed for the inhibition of FtsZ-ring assembly by nucleoid occlusion factor SlmA. One of the published models suggests SlmA forms collaborative filaments on DNA and disorient FtsZ filaments affecting their lateral interactions that are needed for productive constriction and cell division (Cho et al, 2011;Tonthat et al, 2013).

Two-protein collaborative filaments in eukaryotes
Several examples of two-protein collaborative filament systems have been reported in eukaryotic cells. For example, septins have been shown to guide the directionality of the microtubule plus end during epithelial polarity establishment (Bowen et al, 2011). During this process, septin filaments polymerise along the length of microtubules and regulate microtubule dynamics and organisation. Interestingly, the septin-microtubule two-protein collaborative filament system is somewhat reminiscent of MinCD-FtsZ in bacteria. MinCD collaborative filaments are distantly related to the heteromeric septin filaments, and FtsZ is the bacterial tubulin homologue. Therefore, it has been proposed that septins and MinD might have a common evolutionary origin.
Another example of two-protein collaborative filament formation is the interaction between septins and actin filaments. Septins and F-actin are central components of many eukaryotic cytokinetic rings. Recent studies have demonstrated that septin rods copolymerise with F-actin and cause bundling as well as bending of F-actin filaments (Mavrakis et al, 2014). Septin-induced bending of F-actin filaments is mostly caused by a mismatch in repeat distance between septin and F-actin filaments, analogous to the FtsA-FtsZ interaction discussed above.

Conclusion
From the above, it is clear that filament architectures and mechanisms of assembly range from the simple isodesmic to extremely complex two-protein matrix-associated collaborative filament systems, and examples of such complex collaborative assemblies are probably fairly common as they are important components of large, self-assembling systems. The addition of a lateral binding partner to all, or a subset of subunits along the filament, either through a neighbouring matrix or indeed another filament creates opportunities for complex and emerging properties of the resulting systems.
The most obvious, but by no means only consequence is that collaborative filaments may be restricted in occurrence to the site of the matrix or scaffold they bind to.  (A) FtsA is a bacterial actin homologue that recruits the nascent FtsZ ring to the cytoplasmic membrane. This is an example of a two-protein collaborative filament system on a matrix. There is a mismatch of repeat distances between FtsA and FtsZ polymers (~5 nm and~4 nm, respectively). The mismatch causes filament curvature upon collaborative assembly (modified from Szwedziak et al, 2012). (B) MinCD cell division inhibitors form alternating copolymeric filaments on the membrane and interact with FtsZ filaments preventing polar cell division. This is another example of a two-protein collaborative filament system on a matrix. Here, the repeat distance of MinCD filaments (~8 nm) is in multiples of the FtsZ filament repeat distance (~4 nm). Hence, very little or no curvature is generated. This system shows cooperativity allowing MinC to attack FtsZ filaments over FtsZ monomers; thus, substoichiometric amounts of MinC can regulate Z-ring assembly (reproduced with permission from Ghosal et al, 2014). (C) Comparison between a two-filament collaborative filament system, where one cytomotive filament treadmills on another relatively stable filament (i) and a molecular motor walking on a filament (ii). If the movement of the lagging motor head to the front in the direction of the movement is assumed as treadmilling of a very short filament, consisting of only two subunits, then both systems have similar working principles. This postulation does not account for motor-to-motor communication, filamentinduced nucleotide hydrolysis and the torque generation. The EMBO Journal Collaborative protein filaments Debnath Ghosal & Jan Löwe The large number of additional, lateral binding sites sometimes creates large cooperativity effects that enable filaments to bind with extreme affinity to their partner, even if the individual binding energies, per subunit, are rather small. The simplest case of this is actually within homotopic, non-collaborative filaments, where it was found that lateral interactions holding the protofilaments together are surprisingly weak (Alushin et al, 2014;von der Ecken et al, 2015). Avidity enables the selection of filament binding over monomers, by a very large margin.
Perhaps more surprising are the consequences of geometry: collaborative filaments with two different filaments, and differing subunit repeat lengths create curvature. Additionally, on flat or straight matrices, collaborative filaments will cause bending or select for bent geometry under certain circumstances that involve additional interactions within the filament.
Finally, we would like to raise the enticing possibility that collaborative filaments acted as precursors for molecular motors (Fig 3Ci-ii), which so far have only been found in eukaryotes: processive motors walking along microtubules or actin filaments, mostly contain two ATPase heads of the myosin, kinesin or dynein type. Communication between the heads ensures that binding, release and finding of the next binding site for each head leads to movement. Now, if one considers the movement of the lagging motor head to the front, in the direction of the movement, as treadmilling of a very short filament consisting of only two subunits, then this could be considered a special situation of a collaborative filament. It could be described as one stable filament collaborating with another cytomotive filament, treadmilling. In fact, such data have recently been recorded in the case of the tubulin-like TubZRC system (Fink & Löwe, 2015, Fig S1 and Movie S3 therein). Thus, processive motor activity could arise by covalently linking two subunits of a collaborative cytomotive filament treadmilling on another, more stable filament. However, this postulation does not account for motor-to-motor communication, filament-induced nucleotide hydrolysis and subsequent torque generation as observed in modern motor proteins.