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Reviewer #1
Evidence, reproducibility and clarity
1) Summary
This study investigates the mechanochemistry of Arp2/3-mediated branched actin networks at the level of individual branch junctions under load. Using microfluidic single-filament/branch force assays (including constant-force flow and open-chamber imaging) the authors quantify debranching, re‑nucleation, and mother- vs daughter‑interface stability across nucleotide states of Arp2/3 (ADP-Pi, ADP, and an ADP-BeFx proxy for ADP-Pi). They further test effects by two branch regulators (GMF and cortactin). Key findings include: (i) ADP-Pi and ADP complexes share similar force dependence but differ markedly (~20×) in intrinsic dissociation rate; (ii) phosphate turnover on the Arp2/3 complex is rapid ii) affinity for Pi drops when Arp2/3 loses its daughter filament; (iii) quantification from model fits uncovers large stability differences between daughter and mother interfaces of the Arp2/3 complex; (iv) extraordinary high stability of ADP-Pi-like Arp2/3 on the mother filament; and (v) distinct effects of GMF and cortactin on force‑dependent stability. Overall, the work combines technically demanding measurements with mechanistic modeling to probe how nucleotide state and regulatory factors tune branch mechanics.
2) Major comments:
- Low force kinetics and completeness of survival curves (Figure 1). "For all forces, the surviving curves exhibited a clear single exponential behavior...." While the data can be fitted to monoexponential decay curves, data at low forces is clearly incomplete. >90% of branches have not dissociated by the end of the experiment. For the particular data shown in 1C (F00nN, n=60 total branches) it means that the time information is coming from
Essential; experiment might already be performed. Otherwise straightforward to do (weeks time).
In figure 1B, we indeed show a Survival curve for ADP-Arp2/3 complex branch dissociation at 0 pN up to 900 seconds. As now shown in updated supp figure S2, the data was in fact acquired for at least 5000 seconds for ADP-Arp2/3 and ADP-Pi states (N=2 repeats for each condition, with n = 60 and 90 branches for ADP-Arp2/3 branches, and 90 and 132 branches for ADP-Pi-Arp2/3 branches). The debranching rates reported in the initial submission were already obtained by fitting the surviving curves over the whole duration of the experiments.
- Stability Analysis (Figure 4). I can follow much of the arguments presented in the stability analysis of the daughter vs mother interfaces, which is in principle extremely interesting! However, there are some concerns here:
i) The authors emphasize the zero force ratio derived from fits (which is linked to the stability difference of the two interfaces in the absence of force) despite this being only weakly constrained by data. Intuitively in the model, the stability difference should grow to very large values as the re-nucleation ratio approaches 1 at low force. This combined with the noise in the data poses an issue in my opinion. Looking at the data and the error margin, I think that the authors cannot state with high confidence that there is a real difference between the relative stability of the daughter and mother interfaces between the two nucleotide states of the complex.
Essential; analysis and textual revision only
We thank the reviewer for this comment. The difference in stability between the two interfaces is strongly constrained by the shape of the branch renucleation ratio versus force curve, and its value at 0 pN. This is illustrated in the figure shown below (new Supp Fig. S8), showing the dissociation rates of the two interfaces (in ‘dashed’ and ‘point-dashed’ style) that contribute to the overall debranching rate in each nucleotide condition. Despite the limited force range at which we probed the debranching rate, the branch renucleation ratio curve informs us on which interface is the weakest, and how this evolves with force.
We have assessed the confidence intervals of the parameters obtained from the fits, taking into account the error bars on our experimental datapoints. It seems to indicate that the simultaneous fits of the debranching rate and the branch renucleation ratio curves indeed constrain the parameters quite strongly. These confidence intervals are now reported in the main text and in the summarizing table.
We have repeated branch renucleation experiments for ADP-BeFx- and ADP-Pi-Arp2/3 complex branches (see new figure 4C&D, and our response to the next point). We believe these new measurements allow a better assessment of the relative stability between the two interfaces for Arp2/3 complex branch junctions in the ADP-BeFx state.
Still, we agree with the reviewer that the dispersion of the experimental data does not allow us to have a strong confidence on the crossover force and relative stability difference of the interfaces. Therefore, we have slightly toned down the way we present and discuss the differences in stability when comparing the two nucleotide states.
ii) For ADP-Pi, the renucleation ratio essentially remains flat over the measured force range. Hence, the data can only provide little leverage to estimate both the zero force ratio and, more importantly, the differential distance to the transition state in the slip-bond model in my opinion, which will show in the crossover force. Consequently, the quoted ">100×" stability difference at F=0 and the crossover force >20pN are driven largely by extrapolation rather than direct constraint by data. Given the high number of free parameters in the model, I would anticipate that several crossover forces and differential distances might explain the data nearly equally well. Instead of loosely reporting exact number from fits, I would have hoped for some sort of sensitivity analysis, for instance relying on profile likelihoods. Also parameter values could be reported as bounds (e.g crossover force≫measured range) rather than precise point estimates. This issue re-occurs (albeit not as drastically) for the cortactin experiments (Figure 6).
Essential; analysis and textual revision only
As mentioned in our response to the previous point, we have repeated renucleation experiments for ADP-BeFx- (and also for Arp2/3 complex branches in the presence of 50 mM Pi) (see new figure 4C&D) to better characterize the differential distance between to the transition force. The crossover force for the ADP-BeFx state is now 13.5 pN and the ratio of the stability between the two interfaces is roughly 100 times.
We agree with the reviewer that the dispersion of the experimental data does not allow us to have a strong confidence on the crossover force and relative stability difference of the interfaces. We have thus toned down the way we report these values. We do believe though that the difference we report between the ADP and ADP-BeFx state appears to be significant and needs to be acknowledged.
As a side note, it has proven to be challenging to pull on branches at forces higher than 7 pN. To apply a large force on the branch junction, we need to have a high flow rate. In this case, it appeared that the height of the filaments (both mother and daughter filaments) above the surface seem to deviate from what we have established in our previous studies (Jegou et al, Nat. Comm. 2013 & Wioland et al, PNAS 2019). This may originate from the fact branched filaments have a more complex shape than an individual filament. Characterizing accurately the evolution of the branch height as a function of the flow rate and applied force would require quite extensive additional characterization, which, we believe, is beyond the current focus of this study on the stability of Arp2/3 complexes.
iii) One important expectation from the "two slip bond" model is that branch dissociation rates should not necessarily scale mono-exponentially as they mostly do over the accessible force range of the paper. However, once the "minor" pathway of dissociation from the mother starts to dominate at high forces, rates become more force sensitive. This is nicely recaptured by the model fits in Figure S6 but deserves some explanation in the text. Otherwise, people will simply remember the "ADP-Pi is 20-fold more stable than ADP at all forces" message.
Essential; textual revision only
We now have rephrased the key sentences (in the Abstract and Results sections) to more clearly state that the debranching rate is not increasing mono-exponentially with force.
In the Abstract: “Remarkably, we find that branch junctions are over 30-fold more stable when the Arp2/3 complex is in the ADP-Pi rather than ADP state, and that force accelerates debranching with similar exponential factors in both states.”
In the Results section: “The debranching rate seems to increase exponentially with the applied pulling force, in the range of 0 to 6 pN (Fig. 1F; see more refined analysis below). This behaviour is predicted by the Bell-Evans model for a slip bond.”
iv) One important prerequisite for the model is that isolated Arp2/3 complexes (without a daughter filament) should dissociate with equal rates from mother filaments at all flow rates. Since the Arp2/3 complex prefers mother filament curvature, forces experienced by the mother might change its off-rate. It would be good to refer to this assumption in the text and experimentally verify it. I could not find it in the paper nor in Ghasemi et al 2024.
Essential; simple experiment (a weeks time).
We thank the reviewer for this important comment.
First, we investigated whether the viscous drag force, applied on the ADP-Arp2/3 complexes which remain bound to mother filaments could affect their stability. We have performed branch renucleation experiments at different flow rates but with the same pulling force on branch junctions (average force 3.9 pN) by adapting the length of the daughter filament. As shown in new supp. figure S11 (shown below), we did not observe any significant differences between ‘low’ and ‘high’ flow rates. If the off-rate of the surviving Arp2/3 was significantly affected by the flow, this would have led to a variation of the renucleation ratio with the flow rate.
Second, we have investigated the impact of the tension experienced by the mother filament at the location of the branch junction for ADP-Arp2/3 complex branches, with the same pulling force on the branches (average 4.1 pN pulling force on branches). We have quantified the debranching rate from three groups of branches depending on their position along mother filaments. As shown in new supp. figure S12 (shown below), we can observe a small trend, where the debranching rate decreases with the tension on the mother filament at the branching point.
Doubling the tension on the mother filament from 15 to 30 pN decreases the debranching rate by a third. Though, pairwise logrank tests performed between the survival fractions of the three binned groups do not report any statistical significant difference (all p values > 0.05). One possible explanation for this is the height of the mother filament in the microfluidics flow that increases linearly from the anchoring point to the free barbed end. As a consequence the pulling force on the branches will be higher, as branches experience faster flows.
For these same groups, upon branch dissociation, all remaining-bound Arp2/3 complexes are exposed to the same flow rate; the branch renucleation ratios were similar. Thus branch renucleation ratio seems to not significantly depend on the tension experienced by the mother filament at the branching point.
Similarly, Pandit et al PNAS 2020, Extended figure S1, also reported no detectable impact of the mother filament tension on the debranching rate in their assay.
v) The force dependence of the branch re-nucleation rate (Fig 3D) has been measured previously by the same group (Ghasemi et al). While the data in the older paper has not been fitted by a model, the trend of the data in the previous paper looks conspicuously different. Are there any explanations for this? I speculate that it might be related to actin and ATP not being saturated (low-force re-nucleation rate rarely exceeds 80%) in Ghasemi et al., but it would be good to know what the authors think about this. Essential; textual revision only
This is a good point. We have plotted the data of the renucleation ratio from ADP-Arp2/3 complex from figure 1F of Ghasemi et al, Sc. Adv. 2024 (performed at 0.3 and 1 µM actin), together with the data of the current study from figure 4D (performed at 1.5 µM actin). We feel this comparison could be of interest to the readers, and have thus integrated it in the manuscript as new supp. figure S13 (shown below).
As expected, the branch renucleation ratio is lower with lower concentrations of actin. The experimental data points from Ghasemi et al are similarly well fitted by the branch renucleation function obtained for 1.5 µM multiplied by a scaling parameter, which reflects the fact that the branch renucleation ratio is actin concentration dependent (Fig. 6A in Ghasemi et al). This scaling parameter was the only free parameter of those fits.
Since the branch renucleation ratio depends on the actin concentration as follows, 0.97.kon.([actin] - Cc)kon.([actin] - Cc)+koffATP-Arp2/3 , with kon = 3.4 µM-1.s-1 and koff ATP-Arp2/3 = 0.66 s-1 from (Ghasemi et al. 2024), the scaling parameter obtained by the fits give estimates of the actin concentration in these experiments, of 0.6(±0.05) and 0.9(±0.2) µM for the experiments performed at 0.3 and 1 µM respectively in (Ghasemi et al. 2024).
- Stability of the authentic ADP-Pi-Arp2/3 complex on the mother filament. The extraordinary stability of the isolated ADP-BeFx-Arp2/3 complex on mother filaments is surprising, especially considering that both ATP and ADP states are much more labile (Ghasemi et al 2024). I would recommend repeating this experiment in the authentic ADP-Pi state with labelled Arp2/3 complexes as a more direct readout, even if this would require working with very high phosphate concentrations.
Essential; simple experiment (a weeks time).
We have followed the recommendation of the reviewer and have performed new experiments using fluorescent Arp2/3 complexes for ADP, ADP-BeFx and ADP-Pi states, now displayed in new figure 5C (also shown below).
For fluorescent Arp2/3 complexes remaining bound to the mother filament, the Arp2/3 complex - mother filament interface is ~ 100 times more stable in the ADP-BeFx state (0.0046 s-1) compared to the ADP state (0.56 s-1). We also assessed the dissociation of surviving ADP-BeFx-Arp2/3 complexes using unlabelled Arp2/3 complexes (previously in figure 4B, repeated experiment shown in new supp. figure S10), which also indicates a remarkable stability.
The dissociation curve of surviving Arp2/3 complexes in the presence of 50 mM Pi and 200 µM ATP in solution reflects the mixture of Arp2/3 dissociating in the ADP/ATP state and ADP-Pi-Arp2/3 that can either dissociate in the ADP-Pi state or lose their Pi and dissociate in the ATP state. Despite the presence of 50 mM Pi, the rate at which ADP dissociates and ATP reloads rate is much faster than Pi binding. Fitting this survival curve with a function that accounts for the initial double populations and the evolution of the ADP-Pi population (see Methods) gives a good estimate of the Pi release rate.
OPTIONAL: Further, but beyond the scope of the present paper, would be titrating phosphate in these experiments, which would even allow the authors to independently verify the reduced Pi affinity for Arp2/3 in the mother filament. Of note, this affinity difference is needed to satisfy detailed balance in the reaction scheme (Fig 4 D)!
We thank the reviewer for this suggestion. High concentrations of phosphate in the buffer renders glass surfaces quite sticky in our assays. We’ve tried several different passivation strategies (BSA, PLL-PEG, K-casein, …) but none gave satisfactory results. So titrating phosphate, by going beyond 50 mM phosphate, proved to be quite challenging.
Detailed balance, considering the two possible routes connecting the ADP-Pi-Arp2/3 complex branch junction state and the surviving ADP-Arp2/3 complex state, can be written as KPi rel.branch junction . Kdebranching ADP-Arp2/3 = KdebranchingADP-Pi-Arp2/3 . KPi rel.surviving Arp2/3.. Some of these affinity constants are not known, because of the inability to determine reverse reactions rates such as the rebinding of a daughter filament to a surviving Arp2/3. It is thus hard to determine how the affinity of Pi for Arp2/3 complex changes between Arp2/3 complexes at branch junctions and surviving Arp2/3 complexes on mother filaments.
While we cannot determine the affinity constant of Pi for a surviving Arp2.3 complex, our data indicates that the dissociation rate of Pi is higher from Arp2/3 complexes at branch junction (koff = 0.21 s-1) than from surviving Arp2/3 complexes (koff = 0.05 s-1). This unexpected finding indicates that surviving Arp2/3 complexes adopt a conformation where the nucleotides are readily exchanged, but where the ‘back door’ for Pi release is less open. We now discuss this point in our revised manuscript.
- Importance of "surviving" ADP-Pi-Arp2/3 complexes. The authors show a) rapid turnover of Pi on the ADP-Arp2/3 complex in both branch- or mother filament-bound state and b) the lowered Pi affinity of the latter. Nonetheless, they emphasize the importance of long-lived "surviving" ADP-Pi bound complexes on the mother (even stated in the abstract). I understand that this fraction shows under some experimental conditions (BeFx), but unless I am missing something, most complexes should rapidly lose their phosphate and either exchange nucleotide or dissociate from the mother under physiological conditions. Please clarify or tone done.
Essential; textual revision only
We thank the reviewer for their remark. We have tried to clarify this aspect in the manuscript.
As shown now with the departure rate of fluorescent surviving Arp2/3 complexes together with branch renucleation data, we show that surviving ADP-Pi-Arp2/3 complexes are quite stable on mother filaments, because they detach and release their Pi slowly, such that branch regrowth will occur provided there is actin in solution. In the absence of actin monomers, as the reviewer correctly points out, the surviving ADP-Pi-Arp2/3 will predominantly release its Pi and thus become a surviving ADP-Arp2/3 complex. We have modified the text to avoid any confusion.
- GMF mechanism. The authors claim that GMF "...accelerates the departure of the surviving Arp2/3 complex from the mother...". I assume that they infer this from decrease in the re-nucleation ratio. However, alternatively GMF could simply dwell on the complex, inhibiting re-nucleation without promoting dissociation from the mother. The authors should either monitor Arp2/3 dwell times directly to discriminate between these possibilities or be more cautious in their conclusions.
Essential; simple experiment (a weeks time) or textual revision.
In Ghasemi et al. Sci. Adv. 2024, we examined the departure of Arp2/3 from the mother filament after GMF-induced debranching using fluorescent Arp2/3. Most of the fluorescent Arp2/3 dissociated from mother filaments within the same frame as the branch, i.e. within 0.5 seconds after the debranching event, and none were visible after another second . This could be due to Arp2/3 departing with the branch or an accelerated departure after branch dissociation. In any case, this rules out the possibility that GMF would dwell on the surviving complex for a substantial amount of time without promoting dissociation from the mother.
In the present manuscript, we now show that increasing the ATP concentration 10-fold (from 0.2 to 2 mM) is sufficient to restore the branch renucleation ratio to its level without GMF. This shows that GMF does not cause Arp2/3 to leave with the branch, but rather that it (also) acts on the surviving Arp2/3 complex, in a way that is countered by high concentrations of ATP. More specifically, it suggests that GMF accelerates the departure of the surviving ADP-Arp2/3 complex, either directly and by hindering the reloading of ATP, and that GMF does not affect the surviving Arp2/3 complex once it has reloaded ATP.
We now discuss these two non-mutually exclusive possibilities for the accelerated dissociation of the surviving ADP-Arp2/3 complex in the manuscript.
6.Cortactin mechanism and the "leash model". I must say that the cortactin data are the most puzzling part of the paper and hard to reconcile with what we know from structure. I was hoping to find some of this resolved in the discussion. However, I do not understand the "leash model" in the discussion section for cortactin-mediated branch stabilization: "This would explain the observed increase in branch survival compared to the absence of cortactin. As the pulling force is increased, this rebinding mechanism becomes less efficient." According to my understanding of the data, this is opposite to what happens. Cortactin only stabilizes the labile interface at elevated forces! Some re-writing might help here.
Essential; textual revision.
We thank the reviewer for having us think more thoroughly about the model we initially proposed. We now believe that our ‘leash’ mechanism is not able to fully recapitulate our observations in a simple and satisfactory manner.
We now propose a much simpler model, where the binding of cortactin to the Arp2/3 complex at the branch junction simply changes the energy landscape of the Arp2/3-daughter interface without the need to invoke a rebinding of the daughter filament upon branch departure. We have updated our interpretation of the data in the Discussion section accordingly.
Overall, our results on the impact of cortactin on branch renucleation highlights a surprising behaviour that would require further investigation to fully decipher the underlying molecular mechanism.
3) Minor comments
Organization: - I do not want to impose on how to best tell the story, but I felt that Fig1 A-D and Fig 2 A-B belong to one logical unit (nucleotide dependence), whereas Fig 1 E-F and Fig 2 C belong to the other (Pi binding and exchange). Perhaps consider re-organizing to streamline presentation?
We thank the reviewer for their suggestion. We agree that it flows more naturally as suggested, and have made the changes! Thank you.
Semantics/Typos: - Abstract: „... ADP-Pi and ADP-Arp2/3 detach with the same exponential increase as a function of force...". Increase should refer to the dissociation rate, which should be added to the sentence.
We have corrected this.
Results page 8: "...and the majority of Arp2/3 complexes detach from the mother filament while remaining bound to the branch at the debranching time." "Branch" should likely be daughter here, as there is no branch after dissociation of either interface.
We have corrected this, thank you.
Results page 13: "Exposing ADP-BeFx-Arp2/3 complex branch junctions to a saturating amount of GMF...". It is strange to imply saturation, because GMF likely simply does not bind to the complex in this nucleotide state with appreciable affinity. Suggest to change to "high".
We have made the changes accordingly.
Discussion page 18: "Moreover, in mammalian Arp2/3, His80 in Arp3 (corresponding to His73 in mammalian actin) is not methylated, and corresponds to residue N77 in Arp3, which is also not modified." N77 likely belongs to Arp2?
We have made the changes accordingly.
Discussion page 19: "We showed that Pi affinity for Arp2/3 complexes at branch junctions is around 3.7 mM (Fig. 1), a value which lies within the reported 1-10 mM Pi concentration measured in the cytosol in different mammalian cell types". Notably, this is not too different from F-actin, which should be mentioned. By this measure alone, free inorganic phosphate could also directly regulate actin filament stability!
We now mention this and discuss that intracellular Pi can also impact actin filament nucleotide state.
Future interest (non essential): - It would be utterly exciting (but beyond current scope) to quantify how instantaneous debranching rates evolve for naturally aging branches starting from ATP-Arp2/3 complexes!
We thank the reviewer for this remark. It is indeed quite beyond the scope of the current study, as this would require a way to probe ATP-Arp2/3 complex branches while daughter filaments are still quite short (so pulling on them is difficult). An interesting alternative could be to use ATP analogs, such as App-NHp (aka AMP-PNP), to stabilize this state. However, some studies have mentioned that App-NHp is not very stable.
Significance
General assessment:
This is a compelling and carefully executed study that delivers a clear mechanistic framework for how Arp2/3 branch junctions fail and re‑form under load. The central strength is the tight integration of state‑of‑the‑art reconstitutions with careful and original kinetic analysis. The experimental design is elegant and experiments have been carried out to a masterful standard. The figures are clear, the statistics are appropriate with some exceptions as detailed above. There are very few labs in the world that could have achieved this feat!
A few aspects could be further strengthened, most notably the explanation and application of the "two slip bond" model as well as slightly more restraint in speculating around specific regulatory mechanisms. However, these are minor refinements that do not detract from the important contributions of the paper.
Overall, the clearly work merits publication with high priority after revision; most requested changes are textual/analytical with very few targeted experiments, which would substantially strengthen core claims.
We thank the reviewer for their positive evaluation of our manuscript. We hope that our responses to the detailed points above, along with the corresponding revisions of the manuscript, will alleviate their concerns.
Advance relative to prior literature: The major novel findings of the paper are already summarized above. There is some recent work done on the subject of branch mechanics by the authors (Ghasemi et al 2024, PMID: 38277459) and others (Pandit et al 2020 PMID: 32461373), but the focus of the present work is clearly unique and the there is plenty of novel insight.
Audience and impact: Primary audience: specialists in cytoskeleton dynamics, in vitro reconstitution single molecule biophysics, and mechanobiochemistry. Secondary: researchers in cell motility, morphogenesis and mechanobiology, physicists working on active matter and modelers studying force producing and load-bearing biopolymer networks. The results and analysis framework should inform quantitative models of branched network turnover under load and the interpretation of regulatory factor action in vivo and in cells.
Reviewer expertise: Actin dynamics; biochemical reconstitution; single molecule approaches; biophysics.
Reviewer #2 (Evidence, reproducibility and clarity (Required)):
Xiao et al examine the molecular events occurring when Arp2/3 complex-mediated actin filament branches are removed from mother actin filaments. They do this using microfluidics assay with purified proteins combined with single filament TIRF imaging of branched actin filaments with distinct fluorescent labels. The contribution of different nucleotide states of Arp2/3 complex are tested in conjunction with the relationship force exerted on the branches and regulatory protein involvement from GMF and cortactin. The data seem comprehensive and highly quantified in response to concentration, force, fraction of branches and survival times and branching rates. They find that ADP-BeFx and high phosphate concentrations (leading to the ADP-Pi state) leads to a slower debranching rate at a given level of force applied. The ability to rapidly switch the buffer gives powerful information about response times of debranching compared with other actin remodelling events. They use renucleation experiments to determine that the previous debranching event most often occurs at the Arp2/3 complex/daughter interface, showing that filaments will be ready to re-branch in the stable ADP-Pi bound state. GMF addition allows debranching of the ADP state to occur at a lower force. Cortactin acts similarly to the ADP-Pi state to increase branch stability.
Specific comments
The pulling force on the branches seems to arise from different flow rates in the microfluidics. Viscous drag is mentioned and I can see there is methylcellulose in the buffer. It would be helpful to have the explanation of the conversion between flow and force, even if it has been standard in previous work.
We apologize if this was unclear: in microfluidics experiments, the buffer does not contain methylcellulose. Methylcellulose is only used for ‘open chamber’ experiments, where no force is applied to Arp2/3 branches, to maintain them in the TIRF field of excitation (Figure S2).
To better clarify the conversion between flow and force, we have rephrased and extended the Methods section to explain how the force on the branch junction is computed based on the local flow velocity and the length of the daughter filament.
Pg 5 - what was the motivation to titrate phosphate? It seems a stretch that intracellular Pi levels are tuning branching inside cells more than protein-mediated control (GMF or cortactin) - can the authors evidence this at all?
We are not claiming that the level of Pi plays a stronger regulatory role than proteins. We show that inorganic phosphate tunes the state of the Arp2/3 complex, which in turn modulates the action of regulatory proteins, such as GMF and cortactin.
Nonetheless, we do show that the contribution of inorganic phosphate is quite central as it can (1) strongly stabilize branch junctions (~30-fold decrease in the dissociation rate), and (2) tune the activity of GMF and cortactin on Arp2/3 complexes at branch junctions as well as on the ‘surviving’ Arp2/3 complexes that remain bound to mother filaments.
We thus titrated phosphate and found that its impact on Arp2/3 complex stability is significant in the range of Pi concentration that is explored in cells. For the sake of completeness, and following a comment from reviewer #1, we now also mention the affinity of Pi for actin subunits in filaments in the Discussion, and discuss the impact of intracellular Pi on actin itself.
Minor comments
- In the introduction, while the structural and mutagenesis evidence is clearly stated, in other cases a bit more detail would be helpful e.g. 'biochemical studies', which referred measurement of hydrolysis rates using radiolabelling
We have made changes to more precisely define which biochemical assays were used in previous studies.
- Page 3 Figures shouldn't be referenced in the introduction
We have removed the references to the figures from the introduction.
- Page 3 slip bond behaviour needs explanation
We now explain the concept when first using this concept in the manuscript, as follows: “The debranching rate seems to increase exponentially with the applied pulling force, in the range of 0 to 6 pN (Fig. 1F; see more refined analysis below). This behaviour of accelerated debranching with the increase of the applied force is similar to the ‘slip bond’ concept, as predicted by the Bell-Evans model of the force-dependent lifetime of the interaction between two proteins”.
- Figure 1B seems to be a theoretical schematic which is superfluous
We suppose that the reviewer is actually referring to figure 3B of the initial manuscript, describing the energy potential of a molecular interaction as a function of the reaction coordinate. We agree with the reviewer that it is not absolutely required and we have removed it.
- Figure 4D is helpful, different weight lines might help even more to explain the dominant pathways
We have made modifications to the biochemical reaction scheme in this figure (now figure 5F in the revised version). We hope we succeeded in improving its readability. Since the different paths depend on mechano-chemical parameters, there is no real dominant pathway per se.
**Referee cross-commenting**
Rev1 sounds like the specialist here. I can't comment on their requests. Some similar points arise between the reviewers which need addressing.
Reviewer #2 (Significance (Required)):
Significance
Taking a look at references 16 and 19, I do not find it clear what is achieved differently in the current work compared to these papers and what agrees and what disagrees. If it's a species difference I might expect the two species would be analysed side-by-side in this paper.
We thank the reviewer for this important comment. The goal of our study was not to compare the behaviour of mammalian and yeast Arp2/3 complexes.
We now try to better explain that the motivation of the present work is to address how the nucleotide state of the Arp2/3 complex tunes actin branch mechanosensitive stability, and regulates interactions with well known Arp2/3 complex binding proteins. Most of the reactions are quantified here for the first time. Moreover, the experiments with branch junctions in different nucleotide states are done under controlled mechanical conditions, providing the first direct measurements of the force-dependence of the debranching reactions. Our detailed kinetic analysis of the full reaction scheme allows us to model the different binding interfaces of the Arp2/3 complex.
In addition, it is worth noting that:
- Species matter and this is why ref 16 and 19 can give the impression to disagree on the ability to renucleate branches thanks to the stability of surviving Arp2/3 complexes on mother filaments.
- In ref 16 (Pandit et al, PNAS 2020) species are mixed (yeast Arp2/3 and mammalian alpha actin from skeletal muscle), likely leading to a different behaviour compared to the only mammalian protein situation we examine in our current work. In particular, with mixed species one misses the ability to renucleate, as shown in our previous study Ghasemi et al (ref 19). However, since mixing species does not correspond to anything physiological, we do not think it is worth repeating these conditions alongside our experiments.
- Further, the analysis carried out in ref 16 suffers from important limitations: the force was unknown (not calibrated) and the data was fitted by a model that compounded several reactions, providing only an indirect estimation of the rates, in particular at zero force. In contrast, we have worked with calibrated forces (including dedicated experiments at zero force) and we have carried out specific experiments to directly measure several rates.
- In ref 19 (our earlier work) we did not investigate the impact of the nucleotide state of the branch junction at all, and we did not systematically measure the dissociation rates as a function of force.
Contrary to Pandit et al, we directly measure the difference in branch stability at zero force between ADP and ADP-Pi states and show that the ~ 30 fold difference holds true at all probed forces. Last, the force dependence of the branch renucleation success rate gives us crucial information on which of the two Arp2/3 complex interfaces ruptures first.
I'm not understanding how the authors can distinguish effects of adding phosphate and BeFx on Arp 2 and 3 compared to effects on actin. Importantly, are possible accompanying changes in the actin filament a confounding factor?
We have checked that the nucleotide state (ADP-BeFx and ADP-Pi versus ADP) of the mother and daughter filaments have no impact on branch stability:
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In the experiments shown in figure 2F, where the buffer condition to which branches are exposed is quickly changed from phosphate buffer to buffer without phosphate, we observe a rapid change of branch stability. Actin subunits at the branch junction are in F-actin conformation according to recent cyroEM observations (ref. Chavani et al, Nat Comm. 2024; Liu et al, NSMB 2024). These actin subunits, initially in the ADP-Pi state, are expected to age and become ADP with a rate of ~ 0.007 s-1 (ie half-time of 100 s; ref. Jegou et al, PLoS Biology 2011, Ooosterhert et al, NSMB 2023), a much lower rate than the observed change of the debranching rate (0.21 s-1). This means that the debranching rate is independent of the nucleotide state of daughter and mother filaments.
-
In new supp. Figure S4, we show that the debranching rate is similar for ADP-Arp2/3 complex branch junctions initiated from ADP- or ADP-BeFx-actin mother filaments.
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In new supp. Figure S9, we initially exposed branch junctions to a BeFx solution then monitored debranching and branch renucleation in our standard buffer (ie without BeFX or Pi). We observed multiple rounds of branch renucleation, the first with ADP-BeFx-actin daughter filaments, and the following with daughter filaments never exposed to BeFx. They all had the same debranching rates and renucleation success rates.
The paper is quite specialist to read and the advance appears to be incremental. My expertise is in molecular pathways to actin regulation outside the main area of the paper.
The results we present in this study are often unexpected, and some go counter long-standing assumptions. The regulation of Arp2/3-nucleated branches is of importance for the stability and the force-generating capabilities of many actin networks in cells. Last, most of the measurements that we present had never been done, mainly because experiments are difficult to achieve, and require specific tools to monitor several events while controlling the applied force.
We believe our results are of broad interest as they go counter long-standing assumptions. We have rewritten the text in several instances to convey our message more clearly.
Reviewer #3 (Evidence, reproducibility and clarity (Required)):
Please find enclosed the review of the manuscript "Inorganic phosphate in Arp2/3 complex acts as a rapid switch for the stability of actin filament branches" by Xiao et al.
The authors provide a detailed investigation of how the nucleotide bound to the Arp2/3 complex affects branch stability under flow force. From a kinetic perspective, this is an elegant study with generally high-quality data, although some conclusions rest on assumptions rather than direct experimental evidence.
We thank the reviewer for their positive feedback. We have improved our manuscript and performed important additional experiments to provide more direct experimental evidence of our conclusions.
A key question concerns the physiological relevance of these findings. For instance, the concept of branch regrowth may not be applicable in cellular contexts, since forces by actin polymerization would displace existing branches away from sites where they generate this active forces. The authors should clarify the relevance of regrowth during active force generation by branched networks.
We thank the reviewer for this comment. Our in vitro results indeed point to a previously unreported property of branched actin networks, i.e. the ability of Arp2/3 complexes to readily renucleate branches in the ADP-Pi state and that it does require reloading ATP within Arp2/3.
Branched actin networks, especially the lamellipodia or endocytotic patches, do exert active force thanks to actin polymerization of the individual branches at the forefront. Though, the whole actin network is exposed to stress, and the architecture of the network (inter-branch distance, crosslink between branches, …) presumably strongly impact its mechanical properties.
In the case of other types of branched actin networks, such as the actin cortex, myosin motor put the whole network under tension. Such pulling forces on actin branches, depending on the amplitude of the pulling force, can lead to branch regrowth, and network self-repair.
We have modified the text to make the physiological relevance clearer.
Additionally, all experiments employ flow conditions that branches would probably not experience in cells-notably, the flow direction in the cellular context would be reversed. Altering the flow direction relative to the branches could affect not only the relationship between flow rate and branch stability, but potentially other system properties as well.
We agree with the reviewer that in cells branches will not experience flow conditions similar to the ones we use in our in vitro assay. Nonetheless, in cells we expect mechanical stress on the branch junction to be applied in all directions. In lamellipodia, the compressive force applied at the leading edge is expected to result in diverse local orientations of the force on individual branch junctions within the network (as explained in Lappalainen et al. Nat Rev MBC 2022). Also, branch junctions are found in the cell cortex, where they are exposed to pulling forces resulting from the action of myosin motors and crosslinkers on mother and daughter filaments.
This impact of the direction of the flow was addressed in our previous publication (Ghasemi et al, Sc. Adv. 2024, figure 2) and, to a lesser extent, by the lab of Enrique de la Cruz in Pandit et al, PNAS 2020 (ref. 16). We reported that flow direction has a minimal effect, if any, on branch dissociation rate and renucleation ratio.
Reviewer #3 (Significance (Required)):
Furthermore, the study appears not to account for the mother filament (particularly its nucleotide state) or the actin subunit bound to the Arp2/3 complex. The authors should discuss why their interpretation focuses exclusively on the Arp2/3 complex rather than on the actin filaments or Arp2/3-bound actin subunit.
We have checked that the nucleotide state (ADP-BeFx and ADP-Pi versus ADP) of the mother and daughter filaments has no impact on branch stability :
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In the experiments shown in figure 2F, where the buffer condition to which branches are exposed is quickly changed from phosphate buffer to buffer without phosphate, we observe a rapid change of branch stability. Actin subunits at the branch junction are in F-actin conformation according to recent cyroEM observations (ref. Chavani et al, Nat Comm. 2024; Liu et al, NSMB 2024). These actin subunits, initially in the ADP-Pi state, are expected to age and become ADP with a rate of ~ 0.007 s-1 (ie half-time of 100 s; ref. Jegou et al, PLoS Biology 2011, Ooosterhert et al, NSMB 2023), a rate much lower than the observed change of the debranching rate (0.21 s-1). This means that the debranching rate is independent of the nucleotide state of daughter and mother filaments.
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In new supp. Figure S4, we show that the debranching rate is similar for ADP-Arp2/3 complex branch junctions initiated from ADP- or ADP-BeFx-actin mother filaments.
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In new supp. Figure S9, we initially exposed branch junctions to a BeFx solution then monitored debranching and branch renucleation in a regular buffer. We observed multiple rounds of branch renucleation, the first with ADP-BeFx-actin daughter filaments, and the following with daughter filaments never exposed to BeFx. They all had the same debranching rates and renucleation success rates.
An important concern involves the use of KPi (inorganic phosphate). Based our experience, KPi appears to have effects beyond simply impacting nucleotide state-actin filaments seem to assemble differently in the presence of KPi. The authors should exercise caution in their interpretation of KPi-based experiments.
Concentration of KPi (up to 50 mM Pi) did not slow down barbed end elongation rate in our experiments.
Overall, while the technical quality and kinetic analyses are state-of-the-art, relating this work to physiological contexts remains challenging, and some conclusions appear overstated.
We have made changes in the discussion to try to more clearly relate our in vitro observations and conclusions with the cellular context where branch renucleation could have a strong impact on the architecture and mechanics of actin networks.

