Molecular dissection of PI3Kβ synergistic activation by receptor tyrosine kinases, GβGγ, and Rho-family GTPases

Phosphoinositide 3-kinase (PI3K) beta (PI3Kβ) is functionally unique in the ability to integrate signals derived from receptor tyrosine kinases (RTKs), G-protein coupled receptors, and Rho-family GTPases. The mechanism by which PI3Kβ prioritizes interactions with various membrane-tethered signaling inputs, however, remains unclear. Previous experiments did not determine whether interactions with membrane-tethered proteins primarily control PI3Kβ localization versus directly modulate lipid kinase activity. To address this gap in our knowledge, we established an assay to directly visualize how three distinct protein interactions regulate PI3Kβ when presented to the kinase in a biologically relevant configuration on supported lipid bilayers. Using single molecule Total Internal Reflection Fluorescence (TIRF) Microscopy, we determined the mechanism controlling PI3Kβ membrane localization, prioritization of signaling inputs, and lipid kinase activation. We find that auto-inhibited PI3Kβ prioritizes interactions with RTK-derived tyrosine phosphorylated (pY) peptides before engaging either GβGγ or Rac1(GTP). Although pY peptides strongly localize PI3Kβ to membranes, stimulation of lipid kinase activity is modest. In the presence of either pY/GβGγ or pY/Rac1(GTP), PI3Kβ activity is dramatically enhanced beyond what can be explained by simply increasing membrane localization. Instead, PI3Kβ is synergistically activated by pY/GβGγ and pY/Rac1 (GTP) through a mechanism consistent with allosteric regulation.


Introduction
Critical for cellular organization, phosphatidylinositol phosphate (PIP) lipids regulate the localization and activity of numerous proteins across intracellular membranes in eukaryotic cells (Di Paolo and De Camilli, 2006).The interconversion between various PIP lipid species through the phosphorylation and dephosphorylation of inositol head groups is regulated by lipid kinases and phosphatases (Balla, 2013;Burke, 2018).Serving a critical role in cell signaling, the class I family of PI3Ks catalyze the phosphorylation of phosphatidylinositol 4,5-bisphosphate [PI(4,5)P 2 ] to generate PI(3,4,5)P 3 .Although a low-abundance lipid (<0.05%) in the plasma membrane (Wenk et al., 2003;Nasuhoglu et al., 2002;Stephens et al., 1993), PI(3,4,5)P 3 can increase 40-fold following receptor activation (Stephens et al., 1991;Parent et al., 1998;Insall and Weiner, 2001).Although signal adaptation mechanisms typically restore PI(3,4,5)P 3 to the basal level following receptor activation (Funamoto et al., 2002;Yip et al., 2008;Auger et al., 1989), misregulation of the PI3K signaling pathway can result in constitutively high levels of PI(3,4,5)P 3 that are detrimental to cell health.Since PI(3,4,5)P 3 lipids serve an instructive role in driving actin-based membrane protrusions (Howard and Oresajo, 1985;Weiner, 2002;Graziano et al., 2017), sustained PI(3,4,5)P 3 signaling is known to drive cancer cell metastasis (Hanker et al., 2013).Elevated PI(3,4,5)P 3 levels also stimulates the AKT signaling pathway and Tec family kinases, which can drive cellular proliferation and tumorigenesis (Manning and Cantley, 2007;Fruman et al., 2017).While much work has been dedicated in determining the factors that participate in the PI3K signaling pathway, how these molecules collaborate to rapidly synthesize PI(3,4,5)P 3 remains an important open question.To decipher how amplification of PI(3,4,5)P 3 arises from the relay of signals between cell surface receptors, lipids, and peripheral membrane proteins, we must understand how membrane localization and activity of PI3Ks is regulated by different signaling inputs.This will provide new insight concerning the molecular basis of asymmetric cell division, cell migration, and tissue organization, which are critical for understanding development and tumorigenesis.
In the absence of a stimulatory input, the class IA family of PI3Ks (PI3Kα, PI3Kβ, PI3Kδ) are thought to reside in the cytoplasm as auto-inhibited heterodimeric protein complexes composed of a catalytic (p110α, p110β, or p110δ) and regulatory subunit (p85α, p85β, p55γ, p50α, or p55α) (Burke, 2018;Vadas et al., 2011).The catalytic subunits of class IA PI3Ks contain an N-terminal adaptor binding domain (ABD), a Ras/Rho binding domain (RBD), a C2 domain (C2), and an adenosine triphosphate (ATP) binding pocket (Vadas et al., 2011).The inter-SH2 (iSH2) domain of the regulatory subunit tightly associates with the ABD of the catalytic subunit (Yu et al., 1998), providing structural integrity, while limiting dynamic conformational changes.The nSH2 and cSH2 domains of the regulatory subunit form additional inhibitory contacts that limit the conformational dynamics of the catalytic subunit (Zhang et al., 2011;Mandelker et al., 2009;Burke et al., 2011;Carpenter et al., 1993;Yu et al., 1998).A clearer understanding of how various proteins control PI3K localization and activity would help facilitate the development of drugs that perturb specific protein-protein binding interfaces critical for membrane targeting and lipid kinase activity.
There is limited kinetic data examining how PI3Kβ is regulated by different membrane-tethered proteins.Previous biochemical studies of PI3Kβ have utilized solution-based assays to measure P(3,4,5) P 3 production.As a result, the mechanisms that determine how PI3Kβ prioritizes interactions with RTKs, small GTPases, or GβGγ remains unclear.In the case of synergistic PI3Kβ activation, it's unclear which protein-protein interactions regulate membrane localization versus stimulate lipid kinase activity.No studies have simultaneously measured PI3Kβ membrane association and lipid kinase activity to decipher potential mechanisms of allosteric regulation.Previous studies concerning the synergistic activation of PI3Ks are challenging to interpret because RTK-derived peptides are always presented in solution alongside membrane-anchored signaling inputs.However, all the common signaling inputs for PI3K activation (i.e.RTKs, GβGγ, Rac1/Cdc42) are membrane-associated proteins.Activation of class 1A PI3Ks has never been reconstituted using solely membrane-tethered activators conjugated to membranes in a biologically relevant configuration.As a result, we currently lack a comprehensive description of PI3Kβ membrane recruitment and catalysis.
To decipher the mechanisms controlling PI3Kβ membrane binding and activation, we established a biochemical reconstitution using supported lipid bilayers (SLBs).We used single molecule Total Internal Reflection Fluorescence (TIRF) microscopy to quantify the relationship between PI3Kβ localization, lipid kinase activity, and the density of various membrane-tethered signaling inputs.This approach allowed us to measure the dwell time, binding frequency, and diffusion coefficients of single fluorescently labeled PI3Kβ in the presence of RTK-derived peptides, Rac1(GTP), and GβGγ.Simultaneous measurements of PI3Kβ membrane recruitment and lipid kinase activity allowed us to define the relationship between PI3Kβ localization and PI(3,4,5)P 3 production in the presence of different regulators.Overall, we found that membrane docking of PI3Kβ first requires interactions with RTKderived tyrosine phosphorylated (pY) peptides, while PI3Kβ localization is insensitive to membranes that contain either Rac1(GTP) or GβGγ alone.Following engagement with a pY peptide, PI3Kβ can associate with either GβGγ or Rac1(GTP).In the case of synergistic PI3Kβ localization mediated by pY/ GβGγ, it's essential for the nSH2 domain to move away from the GβGγ binding site.Although both the PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-GβGγ complexes display a ~2-fold increase in membrane localization, the corresponding increase in catalytic efficiency is much greater.Overall, our results indicate that synergistic activation of PI3Kβ depends on allosteric modulation of lipid kinase activity.

PI3Kβ prioritizes interactions with pY peptides over Rac1(GTP) and GβGγ
Previous biochemical analysis of p110β-p85α, referred to as PI3Kβ, established that receptor tyrosine kinases (Zhang et al., 2011), Rho-type GTPases (Fritsch et al., 2013), and heterotrimeric G-protein GβGγ (Dbouk et al., 2012) are capable of binding and stimulating lipid kinase activity.To decipher how PI3Kβ prioritizes interactions between these three membrane-tethered proteins we established a method to directly visualize PI3Kβ localization on supported lipid bilayers (SLBs) using Total Internal Reflection Fluorescence (TIRF) Microscopy (Figure 1A).For this assay, we covalently attached either a doubly tyrosine phosphorylated platelet-derived growth factor (PDGF) peptide (pY) peptide or recombinantly purified Rac1 to supported membranes using cysteine reactive maleimide lipids.We confirmed membrane conjugation of the pY peptide and Rac1 by visualizing the localization of fluorescently labeled nSH2-Cy5 or Cy3-p67/phox (Rac1(GTP) sensor), respectively (Figure 1B).Nucleotide exchange of membrane conjugated Rac1(GDP) was achieved by the addition of a guanine nucleotide exchange factor, P-Rex1 (phosphatidylinositol 3,4,5-trisphosphate-dependent Rac exchanger 1 protein) diluted in GTP containing buffer (Figure 1C).As previously described (Rathinaswamy et al., 2021;Rathinaswamy et al., 2023), AF488-SNAP dye-labeled farnesyl GβGγ was directly visualized following passive absorption into supported membranes (Figure 1D and Figure 1-figure supplement 1).We confirmed that membrane-bound GβGγ was functional by visualizing robust membrane recruitment of Dy647-PI3Kγ by TIRF-M (Figure 1E).Overall, this assay functions as a mimetic to the cellular plasma membrane and allowed us to examine how different membrane-tethered signaling inputs regulate PI3Kβ membrane localization in vitro.
We visualized both single molecule binding events and bulk membrane localization of Dy647-PI3Kβ by TIRF microscopy to determine which inputs can autonomously recruit autoinhibited Dy647-PI3Kβ from solution to a supported membrane (Figure 1F).Comparing membrane localization of Dy647-PI3Kβ in the presence of pY, Rac1(GTP), or GβGγ revealed that only the tyrosine phosphorylated peptide (pY) could robustly localize Dy647-PI3Kβ to supported membranes (Figure 1F-G).This prioritization of interactions was consistently observed across a variety of membrane lipid compositions (Figure 1-figure supplement 2).Increasing the anionic lipid charge of supported membranes through the addition of 20% phosphatidylserine (PS), did not significantly change the frequency of Dy647-PI3Kβ membrane interactions in the presence of either Rac1(GTP) or GβGγ alone (Figure 1figure supplement 2).Although we could detect some transient Dy647-PI3Kβ membrane binding events in the presence of GβGγ alone, the binding frequency was reduced 2000-fold compared to our measurements on pY membranes (Figure 1-figure supplement 2).Localization of wild-type Dy647-PI3Kβ phenocopied the GβGγ binding mutant, Dy647-PI3Kβ (K532D, K533D), indicating that the low-frequency binding events we observed are mostly mediated by lipid interactions rather than direct binding to GβGγ (Figure 1-figure supplement 2).The addition of 20% PS lipids did, however, cause a subtle increase in the number of Dy647-PI3Kβ membrane binding observed when 20 µM pY peptide was added in solution (Figure 1-figure supplement 2).Our observations are consistent with previous reports involving the membrane binding dynamics of AF555-PI3Kα measured in the presence of solution pY peptide (Ziemba et al., 2016;Buckles et al., 2017).Given the large parameter space, we did not perform an exhaustive characterization of Dy647-PI3Kβ membrane binding across many membrane compositions.In this study, a simplified membrane composition was used to minimize non-specific membrane localization of fluorescently labeled PI3Kβ.This allowed us to more clearly define the strength of individual and combinations of protein-protein interactions that regulate PI3Kβ localization and kinase activity.

PI3Kβ cooperatively engages a single membrane-tethered pY peptide
Previous biochemical analysis of PI3Kβ utilized pY peptides in solution to study the regulation of lipid kinase activity (Zhang et al., 2011;Dbouk et al., 2012).Using membrane-tethered pY peptide, we quantitatively mapped the relationship between the pY membrane surface density and the membrane binding behavior of Dy647-PI3Kβ (Figure 2A).To calculate the membrane surface density of conjugated pY, we incorporated a defined concentration of Alexa488-pY (Figure 2A-B).We measured the relationship between the total solution concentration of pY peptide used for the membrane conjugation step and the corresponding final membrane surface density (pY per µm 2 ).Over a range of pY peptide solution concentrations (0-10 µM) used for maleimide coupling, we observed a linear increase in the membrane conjugation efficiency based on the incorporation of fluorescent Alexa488-pY (Figure 2C, left hand y-axis).Bulk membrane localization of a nSH2-Cy3 sensor showed a corresponding linear increase in fluorescence as a function of pY peptide membrane density (Figure 2D).By quantifying the average number of Alexa488-pY molecules per unit area on supported membranes, we calculated the absolute density of pY per µm 2 (Figure 2C, right hand y-axis).
To determine how the membrane binding behavior of PI3Kβ is modulated by the membrane surface density of pY, we measured the bulk membrane absorption kinetics of Dy647-PI3Kβ.When Dy647-PI3Kβ was flowed over membranes containing a surface density between 250 and 3000 pY/µm 2 , we observed rapid equilibration kinetics consistent with a simple biomolecular interaction (Figure 2E).Similar membrane binding kinetics have been reported for the Btk-PI(3,4,5)P 3 (Chung et al., 2019) and PI3Kγ-GβGγ (Rathinaswamy et al., 2021) complexes.When the membrane surface density was greater than 6500 pY/µm 2 , we observed slower equilibration kinetics consistent with a fraction of Dy647-PI3Kβ complexes exhibiting longer dwell times.Single particle tracking of Dy647-PI3Kβ on membranes containing varying densities of pY peptide revealed that the dwell time was relatively insensitive to the pY peptide density (Figure 2F and Table 1).However, we could be underestimating the actual dwell time of Dy647-PI3Kβ due to membrane hopping (Yasui et al., 2014).In the presence of a high pY surface density, Dy647-PI3Kβ could dissociate from pY and then immediately rebind to another pY instead of diffusing away into the solution phase.Quantification of single particle displacement (or step size) of pY-tethered Dy647-PI3Kβ complexes revealed nearly identical diffusivity across a range of pY membrane densities (Figure 2G and Table 1).Together, these results suggest that Dy647-PI3Kβ most frequently engages a single dually phosphorylated peptide over a broad range of pY densities in our bilayer assay.
The online version of this article includes the following source data for figure 2 the membrane binding behavior of PI3Kβ is modulated by each SH2 domain, we individually mutated the FLVR amino acid sequence to FLVA.Compared to wild-type Dy647-PI3Kβ, the nSH2(R358A) and cSH2(R649A) mutants showed a 60% and 75% reduction in membrane localization at equilibrium, respectively (Figure 2H).Single molecule dwell time analysis also showed a significant reduction in membrane affinity for Dy647-PI3Kβ nSH2(R358A) and cSH2(R649A) compared to wild-type PI3Kβ (Figure 2I and Table 1).Single molecule diffusion (or mobility) of membrane-bound nSH2(R358A) and cSH2(R649A) mutants, however, were nearly identical to wild-type Dy647-PI3Kβ (Figure 2J and Table 1).Because the nSH2 and cSH2 mutants can only interact with a single phosphorylated tyrosine residue on the doubly phosphorylated pY peptide, this further supports a model in which the p85α regulatory subunit of PI3Kβ cooperatively engages one doubly phosphorylated pY peptide under our experimental conditions.

GβGγ-dependent enhancement in PI3Kβ localization requires the release of the nSH2
Having established that PI3Kβ engagement with a membrane-tethered pY peptide is the critical first step for robust membrane localization, we examined the secondary role that GβGγ serves in controlling membrane localization of PI3Kβ bound to pY.To measure synergistic membrane localization mediated by the combination of pY and GβGγ, we covalently linked pY peptides to the supported membrane at a surface density of ~5000 pY/µm 2 and then allowed farnesyl GβGγ to equilibrate into the membrane to density of ~4700 GβGγ/µm 2 .We quantified the membrane surface density of GβGγ at equilibrium using a combination of AF488-SNAP-GβGγ and dilute AF555-SNAP-GβGγ (0.0025%), to visualize the bulk and single molecule densities, respectively (Figure 3A).Comparing the bulk membrane absorption of Dy647-PI3Kβ in the presence of pY alone, we observed a two-fold increase in membrane localization due to synergistic association with pY and GβGγ (Figure 3B-C).Single molecule imaging experiments also showed a 1.9-fold increase in the membrane dwell time of Dy647-PI3Kβ in the presence of both pY and GβGγ (Figure 3D).Consistent with Dy647-PI3Kβ forming a complex with pY and GβGγ, we observed a 22% reduction in the average single-particle displacement and a decrease in the diffusion coefficient due to ternary complex formation (Figure 3E).Parallel to our experiments using membrane-conjugated pY, we examined whether solution pY could promote Dy647-PI3Kβ localization to GβGγ-containing membranes.Based on the bulk membrane recruitment, solution pY did not strongly enhance membrane binding of Dy647-PI3Kβ on GβGγ-containing membranes in the absence of phosphatidylserine (PS) lipids (Figure 3B).Single molecule dwell time analysis revealed few transient Dy647-PI3Kβ membrane interactions (inset Figure 3A) with a mean dwell time of 116 ms in the presence of GβGγ alone (Figure 3-figure supplement 1A).The presence of 10 µM solution pY modestly increased the mean dwell time of Dy647-PI3Kβ to 136 ms on GβGγ containing membranes (Figure 3-figure supplement 1B).When we measured the interaction between Dy647-PI3Kβ and GβGγ on a membrane containing 20% PS, however, we observed a significant enhancement in Dy647-PI3Kβ localization when solution pY was added (Figure 3-figure supplement 1C-1D).This confirms that SH2 domain-dependent inhibition of GβGγ binding can be relieved by solution pY, as previously reported (Dbouk et al., 2012).However, a high density of anionic lipids (i.e.PS) was required to facilitate the interaction between pY and GβGγ.This suggests that the affinity between PI3Kβ and GβGγ is relatively weak, which is consistent with previous structural biochemistry studies (Dbouk et al., 2012).
For PI3Kβ to engage GβGγ, it is hypothesized that the nSH2 domain must move out of the way from sterically occluding the GβGγ binding site.This model is supported by previous hydrogen-deuterium exchange mass spectrometry (HDX-MS) experiments that could only detect interactions between GβGγ and PI3Kβ (p110β) when the nSH2 domain was either deleted or disengaged from the catalytic domain by a soluble RTK-derived pY peptide (Dbouk et al., 2012).We examined the putative interface of GβGγ bound to the p110β catalytic domain using AlphaFold multimer (Jumper et al., 2021;Evans et al., 2022;Varadi et al., 2022) which defined hα1 in the helical domain as the binding site.This result was consistent with previous mutagenesis and HDX-MS analysis of GβGγ binding to p110β (Dbouk et al., 2012).Comparing our model to previous X-ray crystallographic data of SH2 binding to either p110α and p110β (Zhang et al., 2011;Mandelker et al., 2009) suggested that the nSH2 domain sterically obstructs the GβGγ binding interface (Figure 3F and test this hypothesis, we measured the membrane binding dynamics of Dy647-PI3Kβ nSH2(R358A) on membranes containing pY and GβGγ.Comparing the bulk membrane recruitment of these constructs revealed that the inability of the Dy647-PI3Kβ nSH2 domain to bind to pY peptides made the kinase insensitive to synergistic membrane recruitment mediated by pY and GβGγ (Figure 3G).Similarly, the membrane association dynamics of Dy647-PI3Kβ nSH2(R358A), phenocopied a PI3Kβ (K532D, K533D) mutant that lacks the ability to engage GβGγ (Figure 3H).

Rac1(GTP) and pY synergistically enhance PI3Kβ membrane localization
PI3Kβ is the only class IA PI3K shown to interact with Rho-family GTPases, Rac1, and Cdc42 (Fritsch et al., 2013).Our membrane localization studies indicate, however, that Dy647-PI3Kβ does not strongly localize to membranes containing Rac1(GTP) alone (Figure 1C Similarly, single molecule analysis revealed a 1.5-fold increase in the mean dwell time of Dy647-PI3Kβ in the presence of pY-Rac1(GTP) (Figure 4E).The average displacement of Dy647-PI3Kβ per frame (i.e.52 ms) also decreased by 28% in the presence of pY and Rac1(GTP) (Figure 4F), consistent with the formation of a membrane-bound PI3Kβ-pY-Rac1(GTP) ternary complex.

Rac1(GTP) and GβGγ stimulate PI3Kβ activity beyond enhancing membrane localization
Previous in vitro measurements of PI3Kβ activity have shown that solution pY stimulates lipid kinase activity (Zhang et al., 2011;Dbouk et al., 2012).Similar mechanisms of activation have been reported for other class IA kinases, including PI3Kα and PI3Kδ (Buckles et al., 2017;Burke et al., 2011;Dornan et al., 2017).Functioning in concert with pY peptides, GβGγ, or Rho-family GTPase synergistically enhance PI3Kβ activity by a mechanism that remains unclear (Fritsch et al., 2013;Dbouk et al., 2012).Similarly, RTK-derived peptides and H-Ras (GTP) have been shown to synergistically activate PI3Kα (Buckles et al., 2017;Siempelkamp et al., 2017;Yang et al., 2012).In the case of PI3Kβ, previous experiments have not determined whether synergistic activation by multiple signaling inputs results from an increase in membrane affinity (K D ) or direct modulation of lipid kinase activity (k cat ) through an allosteric mechanism.To determine how the lipid kinase activity of the PI3Kβ-pY complex is synergistically modulated by either GβGγ or Rho-family GTPases, we used TIRF-M to       We used a form of Btk containing a mutation that disrupts the peripheral PI(3,4,5)P 3 lipid binding domain (Wang et al., 2015).This Btk mutant was previously shown to associate with a single PI(3,4,5)P 3 head group and exhibits rapid membrane equilibration kinetics in vitro (Chung et al., 2019).Consistent with previous observations, Btk fused to SNAP-AF488 displayed high specificity and rapid membrane equilibration kinetics on SLBs containing PI(3,4,5)P 3 (Figure 5A, B).Compared to the PI(3,4,5)P 3 lipid sensor derived from the Cytohesin/Grp1 PH domain (He et al., 2008;Knight et al., 2010)   fluorescence could be converted to the absolute number of PI(3,4,5)P 3 lipids produced per µm 2 to determine the catalytic efficiency per membrane-bound Dy647-PI3Kβ.While our binding experiments provide a mechanism for enhanced PI3Kβ membrane localization in the presence of either pY-Rac1(GTP) or pY-GβGγ, these results did not reveal the mechanism controlling synergistic activation of lipid kinase activity.To probe if synergistic activation results from enhanced membrane localization or allosteric modulation of PI3Kβ, we first examined how well the pY peptide stimulates PI3Kβ lipid kinase activity on SLBs.In the absence of pY peptides, PI3Kβ did not catalyze the production of PI(3,4,5)P 3 lipids, while the addition of 10 µM pY in solution resulted in a subtle increase in PI3Kβ lipid kinase activity (Figure 5-figure supplement 2A-2C).By contrast, covalent conjugation of pY peptides to supported lipid bilayers increased the rate of PI(3,4,5)P 3 production by 207-fold (Figure 5-figure supplement 2A-2C).The observed difference in kinetics was consistent with robust membrane recruitment of Dy647-PI3Kβ requiring membrane-tethered pY peptides.Comparing the lipid kinase activity of PI3Kβ measured in the presence of individual signaling inputs -pY, Rac1(GTP), and GβGγ -revealed that pY alone provided the strongest stimulation (Figure 5C).This was largely due to the dramatic enhancement in membrane recruitment caused by membranetethered pY peptides.Incorporation of 20% DOPS lipids in the SLBs raised the overall activity of PI3Kβ across all conditions but the general trend for signaling input preference was preserved (Figure 5D).Similar to previous observations (Dbouk et al., 2012), we found that GβGγ alone could subtly stimulate PI3Kβ lipid kinase activity, without strongly enhancing membrane PI3Kβ localization (Figure 1figure supplement 2).By contrast, the PI3Kβ (K532D, K533D) mutant that was unable to interact with GβGγ was insensitive to GβGγ-mediated activation (Figure 5D).
Next, we sought to test whether the combination of pY and Rac1(GTP) could synergistically stimulate PI3Kβ activity beyond the expected increase due to the enhanced membrane localization of the PI3Kβ-pY-Rac1(GTP) complex.To decipher the mechanism of synergistic activation, we performed two-phase experiments that accounted for both the total density of membrane bound Dy647-PI3Kβ and the corresponding kinetics of PI(3,4,5)P 3 generation.In phase 1 of our experiments, Dy647-PI3Kβ was flowed over SLBs and allowed to equilibrate with either pY-Rac1(GDP) or pY-Rac1(GTP) in the absence of ATP (Figure 5E, F).This resulted in a 1.8-fold increase in Dy647-PI3Kβ localization mediated by the combination of membrane-tethered Rac1(GTP) and pY, compared to pY membranes            alone.Following membrane equilibration of Dy647-PI3Kβ, phase 2 was initiated by adding a final concentration of 1 mM ATP to the reaction chamber to stimulate lipid kinase activity.We found that the addition of ATP did not alter the bulk localization of Dy647-PI3Kβ, though the kinase was in dynamic equilibrium between the solution and membrane.Conducting experiments in this manner allowed us to measure activation by inputs while removing uncertainty from differential Dy647-PI3Kβ association with various signaling inputs.After accounting for the 1.8-fold difference in Dy647-PI3Kβ membrane localization comparing pY-Rac1(GDP) and pY-Rac1(GTP) membranes, we calculated a 4.3fold increase in PI3Kβ activity that was dependent on Rac1(GTP).
Using the two-phase kinase assay described above, we next examined how pY and GβGγ synergistically activate PI3Kβ (Figure 5G).In our pilot experiments, we immediately observed more robust activation of PI3Kβ in the presence of pY-GβGγ, compared to pY-Rac1(GTP).To accurately measure the rapid kinetics of PI(3,4,5)P 3 generation on SLBs we had to use a 100-fold lower concentration of Dy647-PI3Kβ.Under these conditions, single membrane-bound Dy647-PI3Kβ molecules could be spatially resolved, which allowed us to measure the catalytic efficiency per PI3Kβ (Figure 5H).Comparing the activity of Dy647-PI3Kβ on membranes with pY alone or pY-GβGγ, we observed a 22-fold increase in catalytic efficiency comparing the PI3Kβ-pY and PI3Kβ-pY-GβGγ complexes (Figure 5I).Synergistic activation was dependent on the direct interaction between PI3Kβ and GβGγ (Figure 5-figure supplement 2D).By varying the density of membrane-anchored GβGγ, we determined that maximum synergistic activation occurred when GβGγ was present at a density greater than 2400 molecules/ µm 2 (Figure 5-figure supplement 2D).Similar levels of PI3Kβ activity were measured in the ATP spike experiments when 20% DOPS was incorporated in the supported membranes (Figure 5-figure supplement 2E).Based on the membrane-bound density of ~0.2 Dy647-PI3Kβ molecules per µm 2 , we calculate a k cat of 57 PI(3,4,5)P 3 lipids/s•PI3Kβ on pY-GβGγ containing membranes.By contrast, the Dy647-PI3Kβ-pY complex had a k cat of 3 PI(3,4,5)P 3 lipids/s•PI3Kβ.

Prioritization of signaling inputs
The exact mechanisms that regulate how PI3Kβ prioritizes interactions with signaling input, such as pY, Rac1(GTP), and GβGγ remains unclear.To fill this gap in knowledge, we directly visualized the membrane association and dissociation dynamics of fluorescently labeled PI3Kβ on supported lipid bilayers using single molecule TIRF microscopy.This is the first study to reconstitute membrane localization and activation of a class 1A PI3K using multiple signaling inputs that are all membranetethered in a physiologically relevant configurations.Previous experiments have relied exclusively on phosphotyrosine peptides (pY) presented in solution to activate PI3Kα, PI3Kβ, or PI3Kδ (Zhang et al., 2011;Dornan et al., 2017;Dbouk et al., 2012).However, pY peptides are derived from the cytoplasmic domains of transmembrane receptors, such as receptor tyrosine kinases (RTKs), which reside in the plasma membrane (Lemmon and Schlessinger, 2010).Although pY peptides in solution can disrupt the inhibitory contacts between the regulatory and catalytic subunits of class 1A PI3Ks (Zhang et al., 2011;Yu et al., 1998), they do not robustly localize PI3Ks to membranes when they exist in solution.When conjugated to SLBs, we find that pY peptides strongly localize PI3Kβ and relieve autoinhibition, while membranes containing either Rac1(GTP) or GβGγ alone are unable to robustly localize PI3Kβ.We observed this prioritization of signaling input interactions over a range of membrane compositions that contained physiologically relevant densities of anionic lipids, such as 20% PS and 2% PI(4,5)P 2 .Although a small fraction of PI3Kβ may transiently adopt a conformation that is compatible with direct Rac1(GTP) or GβGγ association in the absence of pY, these events are rare and do not represent the most probable pathway for controlling initial PI3Kβ membrane docking.Given the complexity of the cellular plasma membrane lipid composition (Lorent et al., 2020), our experimental system uses a relatively simple mixture of lipids that maximized membrane fluidity and minimized surface defects that could promote non-specific molecular interactions.By this approach, our study provides clarity concerning the strength of various protein-protein interactions that regulate PI3Kβ membrane localization and activity.
Based on our single molecule dwell time and diffusion analysis, Dy647-PI3Kβ can cooperatively bind to one doubly phosphorylated peptide derived from the PDGF receptor.Supporting this model, Dy647-PI3Kβ with a mutated nSH2 or cSH2 domain that eliminates pY binding, still displayed membrane diffusivity indistinguishable from wild-type PI3Kβ.The diffusion coefficient of membranebound pY-PI3Kβ complexes also did not significantly change over a broad range of pY membrane surface densities that span three orders of magnitude.Given that diffusivity of peripheral membrane binding proteins is strongly correlated with the valency of membrane interactions (Ziemba and Falke, 2013;Hansen et al., 2022), we expected to observe a decrease in Dy647-PI3Kβ diffusion with increasing membrane surface densities of pY.Instead, our data suggests that the vast majority of PI3Kβ molecules engage a single pY peptide, rather than binding one tyrosine phosphorylated residue on two separate pY peptides.While no structural studies have shown how exactly the tandem SH2 domains of PI3K (p85α) simultaneously bind to adoubly phosphorylated pY peptide, the interactions likely resemble the mechanism reported for ZAP-70 (Zeta-Chain-Associated Protein Kinase 70).The tandem SH2 domains of ZAP-70 can bind to a doubly phosphorylated chain derived from the TCR with only 11 amino acids spacing between the two tyrosine phosphorylation sites (Hatada et al., 1995).In the case of our PDGFR-derived pY peptide that binds p85α, 10 amino acids separate the two tyrosine phosphorylated residues.
Following the engagement of a pY peptide, we find that PI3Kβ can then associate with membraneanchored Rac1(GTP) or GβGγ.We detected the formation of PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-GβGγ complexes based on the following criteria: (1) increase in Dy647-PI3Kβ bulk membrane recruitment, (2) increase in single molecule dwell time, and (3) a decrease in membrane diffusivity.Consistent with Dy647-PI3Kβ having a weak affinity for GβGγ, pY peptides in solution were unable to strongly localize Dy647-PI3Kβ to SLBs containing membrane-anchored GβGγ unless there was 20% PS lipids present.This is in agreement with HDX-MS data showing that the p110β-GβGγ interaction can only be detected using a GβGγ-p85α(icSH2) chimeric fusion or pre-activating PI3Kβ with solution pY (Dbouk et al., 2012).Using AlphaFold Multimer (Evans et al., 2022;Jumper et al., 2021), we created a model that illustrates how the p85α(nSH2) domain is predicted to sterically block GβGγ binding to p110β.This model was validated by comparing the AlphaFold Multimer model to previous reported HDX-MS (Dbouk et al., 2010) and X-ray crystallography data (Zhang et al., 2011).Further supporting this model, we found that the Dy647-PI3Kβ nSH2(R358A) mutant tethered to membrane-conjugated pY peptide was unable to engage membrane-anchored GβGγ.Membrane targeting of PI3Kβ by pY was required to relieve nSH2 mediated autoinhibition and expose the GβGγ binding site.Recruitment by membrane-tethered pY also reduces the translational and rotational entropy of PI3Kβ, which facilitates PI3Kβ-pY-GβGγ complex formation.We observed a similar mechanism of synergistic PI3Kβ localization on SLBs containing pY and Rac1(GTP).This was consistent with single molecule studies investigating synergistic enhanced localization of PI3Kα in the presence of H-Ras(GTP) and solution pY peptide (Buckles et al., 2017).It remains unclear how p85α-mediated inhibition controls the association dynamics between PI3Kβ and Rac1(GTP).

Mechanism of synergistic activation
Previous characterization of PI3Kβ lipid kinase activity has utilized solution-based assays to measure P(3,4,5)P 3 production.These solution-based measurements lack spatial information concerning the mechanism of PI3Kβ membrane recruitment and activation.Our ability to simultaneously visualize PI3Kβ membrane localization and P(3,4,5)P 3 production was critical for determining which regulatory factors directly modulate the catalytic efficiency of PI3Kβ.In the case of PI3Kα, the enhanced membrane recruitment model has been used to explain the synergistic activation mediated by pY and Ras(GTP) (Buckles et al., 2017).In other words, the PI3Kα-pY-Ras complex is more robustly localized to membranes compared to the PI3Kα-pY and PI3Kα-Ras complexes, which results in a larger total catalytic output for the system.Although the Ras binding domain (RBD) of PI3Kα and PI3Kβ are conserved, these kinases interact with distinct Ras superfamily GTPases (Fritsch et al., 2013).Therefore, it's possible that PI3Kα and PI3Kβ display different mechanisms of synergistic activation, which could explain their non-overlapping roles in cell signaling.
Studies of PI3Kβ mouse knock-in mutations in primary macrophages and neutrophils have shown that robust PI3Kβ activation requires coincident activation through the RTK and GPCR signaling pathways (Houslay et al., 2016).This response most strongly depends on the ability of PI3Kβ to bind GβGγ and, to a lesser extent, Rac1/Cdc42 (Houslay et al., 2016).A similar mechanism of synergistic activation has been reported for PI3Kγ in the presence of H-Ras(GTP) and GβGγ (Suire and Lécureuil, 2012;Rathinaswamy et al., 2021).Although mutational studies have deciphered the pathways that drive synergistic of PI3Kγ and PI3Kβ activation in cells, signaling network crosstalk and redundancy limits our mechanistic understanding of how these kinases prioritizes signaling inputs and the exact mechanism for driving PI(3,4,5)P 3 production.Based on our single molecule membrane binding experiments, autoinhibited PI3Kβ does not strongly associate with either Rac1(GTP) or GβGγ in the absence of pY peptides.We found that PI3Kβ kinase activity is also relatively insensitive to either Rac1(GTP) or GβGγ alone but can stimulate some PI3Kβ activity when 20% PS lipids is incorporated into the supported lipid bilayers.Importantly, the prioritization of signal input localization strengths was similar across all membrane compositions tested.Previous studies that showed Rho-GTPases (Fritsch et al., 2013) and GβGγ (Katada et al., 1999;Dbouk et al., 2012;Maier et al., 1999) can individually activate PI3Kβ used more complex lipid mixtures that incorporate sphingomyelin, cholesterol, and phosphatidylethanolamine to mimic the cellular plasma membrane composition.In the future, a more comprehensive analysis will be required to map the relationship between PI3Kβ activity, membrane localization, and lipid composition.
In our single molecule TIRF experiments, we find that the pY peptide is the only factor that robustly localizes PI3Kβ to supported membranes in an autonomous manner.However, the pY-PI3Kβ complexdisplays weak lipid kinase activity (k cat = 3 PI(3,4,5)P 3 lipids/sec per PI3Kβ).This is consistent with cellular measurements showing that RTK activation by insulin (Knight et al., 2006), PDGF (Guillermet-Guibert et al., 2008), or EGF (Ciraolo et al., 2008) show little PI3Kβ dependence for PI(3,4,5)P 3 production.Although the dominant role of PI3Kα in controlling PI(3,4,5)P 3 production downstream of RTKs can mask the contribution from PI3Kβ in some cell types, these results highlight the need for PI3Kβ to be synergistically activated.When we measured the kinetics of lipid phosphorylation for PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-GβGγ complexes, we observed synergistic activation beyond simply enhancing PI3Kβ membrane localization.After accounting for the ~1.8fold increase in membrane localization between PI3Kβ-pY-Rac1(GTP) and PI3Kβ-pY-Rac1(GDP), we calculated a 4.3-fold increase in k cat (13 PI(3,4,5)P 3 lipids/sec per PI3Kβ) that was dependent on engaging Rac1(GTP).Comparing the kinase activity of PI3Kβ-pY and PI3Kβ-pY-GβGγ complexes that are present at the same membrane surface density (~0.2 PI3Kβ/µm 2 ) revealed a 22-fold increase in k cat mediated by the GβGγ interaction.Together, these results indicate that PI3Kβ-pY complex association with either Rac1(GTP) or GβGγ allosterically modulates PI3Kβ, making it more catalytically efficient.

Mechanisms controlling cellular activation of PI3Kβ
Studies of PI3K activation by pY peptides have mostly been performed using peptides derived from the IRS-1 (Insulin Receptor Substrate 1) and the EGFR/PDGF receptors (Backer et al., 1992;Fantl et al., 1992).As a result, we still have not defined the broad specificity p85α has for tyrosinephosphorylated peptides.Biochemistry studies indicate that the nSH2 and cSH2 domains of p85α robustly bind pY residues with a methionine in the +3 position (pYXXM) (Breeze et al., 1996;Nolte et al., 1996;Backer et al., 1992;Fantl et al., 1992).The p85α subunit is also predicted to interact with the broad repertoire of receptors that contain immunoreceptor tyrosine-based activation motifs (ITAMs) baring the pYXX(L/I) motif (Reth, 1989;Osman et al., 1996;Zenner et al., 1996;Love and Hayes, 2010).Based on RNA seq data, human neutrophils express at least six different Fc receptors (FcRs) that all contain phosphorylated ITAMs that can potentially facilitate membrane localization of class 1A PI3Ks (Rincón et al., 2018).
A variety of human diseases result from the overexpression of RTKs, especially the epithelial growth factor receptor (EGFR) (Sauter et al., 1996).When the cellular plasma membrane contains densities of EGFR greater than 2000 receptors/µm 2 , trans-autophosphorylation, and activation can occur in an EGF-independent manner (Endres et al., 2013).Membrane surface densities above the threshold required for spontaneous trans-autophosphorylation of EGFR have been observed in many cancer cells (Haigler et al., 1978).In these disease states, PI3K is expected to localize to the plasma membrane in the absence of ligand-induced RTK or GPCR signaling.The slow rate of PI(3,4,5)P 3 production we measured for the membrane-tethered pY-PI3Kβ complex suggests that PI(3,4,5)P 3 levels are not likely to rise above the global inhibition imposed by lipid phosphatases until synergistic activation of PI3Kβ by RTKs and GPCRs.However, loss of PTEN in some cancers (Jia et al., 2008) could produce an elevated level of PI(3,4,5)P 3 due to PI3Kβ being constitutively membrane localized via ligand-independent trans-autophosphorylation of RTKs.

BACMID and baculovirus production
We generated BACMID DNA as previously described (Hansen et al., 2019).FASTBac1 plasmids containing our gene of interested were transformed into DH10 Bac cells and plated on LB agar media containing 50 µg/mL kanamycin, 10 µg/mL tetracycline, 7 µg/mL gentamycin, 40 µg/mL X-GAL, and 40 µg/mL IPTG.Plated cells were incubated for 2-3 days at 37 °C before positive clones were isolated based on blue-white colony selection.White colonies were inoculated into 5 mL of TPM containing 50 µg/mL kanamycin, 10 µg/mL tetracycline, 7 µg/mL gentamycin, and grown overnight at 37 °C.To purify the BACMID DNA, bacteria were pelleted by centrifugation and then re-suspended in 300 µL of buffer containing 50 mM Tris [pH 8.0], 10 mM EDTA, 100 µg/mL RNase A. Bacteria were lysed into 300 µL of buffer containing 200 mM NaOH, 1% SDS before neutralization with 300 µL of 4.2 M Guanidine HCl, 0.9 M KOAc [pH 4.8].Samples we subsequently centrifuged at 23 °C for 10 min at 14,000 × g.Supernatant containing the BACMID DNA was combined with 700 µL 100% isopropanol and spun for 10 min at 14,000 × g.The DNA pellets were washed twice with 70% ethanol (200 µL and 50 µL) and centrifuged.The ethanol was removed by vacuum aspiration and the final DNA pellet was dried in a biosafety hood.Finally, we solubilized the BACMID DNA in 50-100 µL of sterile filtered MilliQwater.A Nanodrop was used to quantify the total DNA concentration.BACMID DNA was stored at -20 °C or used immediately for higher transfection efficiency.Baculovirus was generated as previously described.In brief, we incubated 5-7 µg of BACMID DNA with 4 µL Fugene (Thermo Fisher, Cat# 10362100) in 250 µL of Opti-MEM serum-free media for 30 min at 23 °C.The DNA-Fugene mixture was then added to a Corning six-well plastic dish (Cat# 07-200-80) containing 1 × 10 6 Spodoptera frugiperda (Sf9) insect cells in 2 mL of ESF 921 Serum-Free Insect Cell Culture media (Expression Systems, Cat# 96-001, Davis, CA.).4-5 days following the initial transfection, we harvested and centrifuged the viral supernatant (called 'P0').P0 was used to generate a P1 titer by infecting 7 × 10 6 Sf9 cells plated on a 10 cm tissue culture grade petri dish containing 10 mL of ESF 921 media and 2% Fetal Bovine serum (Seradigm, Cat# 1500-500, Lot# 176B14).After 5 days of transfection, the P1 titer was harvest and clarified by centrifugation.The P1 titer was expanded by infecting 100 mL Sf9 cell culture grown to a density of 10 6 cells/mL with 1% vol/vol P1 viral titer in a sterile 250 mL polycarbonate Erlenmeyer flask with a vented cap (Corning, #431144).The P2 titer (viral supernatant) was harvested, centrifuged, and 0.22 µm filtered in 150 mL filter-top bottle (Corning, polyethersulfone (PES), Cat#431153).The P2 viral titer was subsequently used for protein expression in High five cells grown in ESF 921 Serum-Free Insect Cell Culture media (0% FBS) using a final baculovirus concentration of ~2% vol/vol.All our media contained 1 x concentration of Antibiotic-Antimycotic (Gibco/Invitrogen, Cat#15240-062).A PCR-based Mycoplasma Detection kit was used to verify our insect cell lines were free of mycoplasma contaminants (ATCC, Cat #30-1012 K).

Grp1 and nSH2
The gene encoding the Grp1 PH domain derived from human CYTH3 was expressed in BL21 (DE3) bacteria as a his6-MBP-N10-TEV-GGGG-Grp1 fusion protein.The gene encoding the N-terminal SH2 (nSH2, 322-440aa) domain derived from the PIK3R1 gene was cloned and expressed as a his6-GST-TEV-nSH2 fusion protein.A single cysteine was encoded in the C-terminus of the nSH2 domain and Grp1 to allow for chemical labeling with maleimide dyes.For both recombinant proteins, bacteria were grown at 37 °C in 4 L of Terrific Broth for 2 hrs or until OD 600 =0.8 and then shifted to 18 °C for 1 hr.Cells were then induced to express either the Grp1 or nSH2 fusion by adding 0.1 mM IPTG.Cells were harvested 20 hrs post-induction.Bacteria were lysed into 50 mM Na 2 HPO 4 [pH 8.0], 400 mM NaCl, 0.4 mM BME, 1 mM PMSF, 100 μg/mL DNase using a microfluidizer.Next, lysate was centrifuged at 16,000 rpm (35,000 × g) for 60 min in a Beckman JA-20 rotor at 4 °C.Supernatant was circulated over 5 mL HiTrap chelating column (GE Healthcare, Cat# 17-0409-01) that was pre-incubated with 100 mM CoCl 2 for 10 min, wash with MilliQ water, and equilibrated into lysis buffer lacking PMSF and DNase.Clarified cell lysate containing his6-MBP-N10-TEV-GGGG-Grp1 was circulated over the HiTrap column and washed with 20 column volumes of 50 mM Na 2 HPO 4 [pH 8.0], 300 mM NaCl, 0.4 mM BME containing buffer.Protein was eluted with buffer containing 50 mM Na 2 HPO 4 [pH 8.0], 300 mM NaCl, and 500 mM imidazole at a flow rate of 4 mL/min.Peak HiTrap elution fractions were combined with 750 µL of 2 mg/mL TEV protease and dialyzed overnight against 4 L of buffer containing 20 mM Tris [pH 8.0], 200 mM NaCl, and 0.4 mM BME.The next day, we recirculated cleaved proteins over two HiTrap (Co +2 ) columns (2 × 5 mL) that were equilibrated in 50 mM Na 2 HPO 4 [pH 8.0], 300 mM NaCl, and 0.4 mM BME containing buffer for 1 hr.Proteins were concentrated using a 10 kDa MWCO Vivaspin 20 and then loaded on a 124 mL Superdex 75 column equilibrated in in 20 mM Tris [pH 8], 200 mM NaCl, 10% glycerol, and 1 mM TCEP.Proteins were eluted at a flow rate of 1 mL/min.Peak fractions containing Grp1 were pooled and concentrated to 500-600 µM (~8 mg/mL).Peak fractions containing nSH2 were pooled and concentrated to 200-250 µM (~3 mg/mL).Proteins were frozen with liquid nitrogen and stored at -80 °C.
When reconstituting amphiphilic molecules (i.e.lipids) in aqueous solution a variety of structures can form based on the lipid composition, including micelles, inverted micelles, and planar bilayers (Kulkarni, 2019).The organization of these membrane structures is related to the molecular packing parameter of the individual phospholipids (Israelachvili et al., 1976).The packing parameter ) depends on the volume of the hydrocarbon ( v ), area of the lipid head group ( a ), and the lipid tail length ( lc ).When generating supported lipid bilayers on a flat two-dimensional glass surface, this study sought to create fluid lamellar membranes.Using phosphatidylcholine (PC) lipids was ideal for making supported lipid bilayers because they have a packing parameter of ~1 (Costigan et al., 2000).In other words, PC lipids are cylindrical like a paper towel roll.In contrast, cholesterol and phosphatidylethanolamine (PE) lipids have packing parameters of 1.22 and 1.11, respectively (Angelov et al., 1999;Carnie et al., 1979).This gives cholesterol and PE lipids an inverted truncated cone shape, which prefers to adopt a non-lamellar phase structure when present at high concentrations.Due to the intrinsic negative curvature of PE lipids, they can spontaneously form inverted micelles (i.e.hexagonal II phase) in aqueous solution when they are the predominant lipid species (Israelachvili et al., 1980;Kobierski et al., 2022;Wnętrzak et al., 2013).In this study, incorporation of PE lipids dramatically reduced the protein-maleimide coupling efficiency, increased membrane defects, and resulted in a larger fraction of surface immobilized Dy647-PI3Kβ.This could be related to the intrinsic negative curvature of PE membranes.However, further investigation is needed to decipher these issues.

Protein conjugation of maleimide lipid
After blocking SLBs with beta-casein, membranes were washed with 2 mL of 1 x PBS and stored at room temperature for up to 2 hrs before mounting on the TIRF microscope.Prior to single molecule imaging experiments, supported membranes were washed into TIRF imaging buffer.Supported membranes containing MCC-PE lipids were used to covalently couple either Rac1(GDP) or the phosphotyrosine peptide (pY).For the pY peptide experiments we used a doubly phosphorylated peptide derived from the mouse platelet derived growth factor receptor (PDGFR) with the following sequence: CSDGG(pY)MDMSKDESID(pY)VPMLDMKGDIKYADIE (33aa).The Alexa488-pY contained the same sequence with the dye conjugated to the C-terminus of the peptide.The peptides were synthesized to >95% purity by ELIM Biopharmaceuticals (Hayward, CA.).For these SLBs, 100 µL of 30 µM Rac1 was diluted in a 1 x PBS [pH 7.2] and 0.1 mM TCEP buffer was added to the IBIDI chamber and incubated for 2 hrs at 23 °C.Importantly, the addition of 0.1 mM TCEP significantly increased the coupling efficiency.SLBs with MCC-PE lipids were then washed with 2 mL of 1 x PBS [pH 7.2] containing 5 mM beta-mercaptoethanol (BME) and incubated for 15 min to neutralize the unreacted maleimide headgroups.SLBs were washed with 1 mL of 1 x PBS, followed by 1 mL of kinase buffer before starting smTIRF-M experiments.

Nucleotide exchange of Rac1
Membrane conjugated Rac1(GDP) was converted to Rac1(GTP) using either chemical activation (i.e.EDTA/GTP/MgCl 2 ) or the guanine nucleotide exchange factor (GEF), P-Rex1 (DH-PH domain).Chemical activation was accomplished by washing supported membranes containing maleimide linked Rac1(GDP) with 1 x PBS [pH 7.2] containing 1 mM EDTA and 1 mM GTP.Following a 15 min incubation to exchange GDP for GTP, chambers were washed 1 x PBS [pH 7.2] containing 1 mM MgCl 2 and 50 µM GTP.A complementary approach that utilizes GEF-mediated activation of Rac1 was achieved by flowing 50 nM P-Rex1 (DH-PH domain) over Rac1(GDP) conjugated membranes (Figure 1C).Nucleotide exchange was carried out in buffer containing 1 x PBS, 1 mM MgCl 2 , 50 µM GTP.Both methods of activation yielded the same density of active Rac1(GTP).Nucleotide exchange of membrane-tethered Rac1 was assessed by visualizing the localization of the Cy3-p67/phox Rac1(GTP) sensor using TIRF-M.

Microscope hardware and imaging acquisition
Single molecule imaging experiments were performed at room temperature (23 °C) using an inverted Nikon Ti2 microscope using a 100 x oil immersion Nikon TIRF objective (1.49NA).The x-axis and y-axis positions were controlled using a Nikon motorized stage, joystick, and Nikon's NIS element software.
Fluorescently labeled proteins were excited with one of three diode lasers: a 488 nm, a 561 nm, or 642 nm (OBIS laser diode, Coherent Inc, Santa Clara, CA).The lasers were controlled with a Vortran laser launch and acousto-optic tuneable filters (AOTF) control.Excitation and emission light was transmitted through a multi-bandpass quad filter cube (C-TIRF ULTRA HI S/N QUAD 405/488/561/642; Semrock) containing a dichroic mirror.The laser power measured through the objective for single particle visualized was 1-3 mW.Fluorescence emission was captured on an iXon Life 897 EMCCD camera (Andor Technology Ltd., UK) after passing through one of the following 25 mm a Nikon Ti2 emission filters mounted in a Nikon emission filter wheel: ET525/50M, ET600/50M, and ET700/75M (Semrock).
The concentration of the Btk lipid sensor used for the kinetic assays does not interfere with the kinase activity.By comparing the membrane surface intensity of Btk-SNAP-AF488 measured by TIRF microscopy in the presence of both 20 nM and near-saturating micromolar concentrations, we estimate that <0.1% of the PIP lipids are bound to a lipid sensor at any point during the kinetic experiments.Assuming an average footprint of 0.72 nm 2 for phosphatidylcholine (Carnie et al., 1979;Hansen et al., 2019), supported membranes that contained an initial concentrations of 2% PI(4,5)P 2 had a membrane surface density of 2.8 × 10 4 PI(4,5)P 2 lipids/μm 2 at the end of the kinase reaction.The plateau fluorescence intensity of the Btk-SNAP-AF488 sensor was considered to be equivalent to the production of 2% PI(3,4,5)P 3 when membranes contained an initial concentration of 2% PI(4,5)P 2 .The bulk membrane intensity of Btk-SNAP-AF488 was normalized from 0 to 1, and multiplied by the total density of PI(3,4,5)P 3 lipids to generate kinetic traces that report the kinetics of PI(3,4,5)P 3 production.
When performing these lipid kinase assays, it is critical to simultaneously visualize the localization of Btk-SNAP-AF488 and Dy647-PI3Kβ.Poor quality supported membranes can artificially enhance PI3Kβ activity due to non-specific surface absorption of the kinase.When experiments displayed immobilized Dy647-PI3Kβ molecules, the data was omitted from analysis and experiments were repeated.

Surface density calibration
The density of membrane-tethered proteins attached to supported lipid bilayers was determined by coupling a defined ratio of either fluorescently labeled Cy3-Rac1 (1:10,000) or Alexa488-pY (1:30,000) in the presence of either 30 µM Rac1 or 10 µM pY, respectively.The membrane surface density of GβGγ was quantified at equilibrium using a combination of AF488-SNAP-GβGγ (bulk signal) and dilute AF555-SNAP-GβGγ (0.0025%; 1:40,000), which allowed fluorescent proteins to be resolved and the single molecule density quantified.Single molecule densities of fluorescently labeled pY, Rac1, and GβGγ were estimated using the ImageJ/Fiji Trackmake Plugin.The total surface density was calculated based on the dilution factor in the presence of dark unlabeled protein (e.g.Rac1(GTP), pY, or SNAP-GβGγ).

Alphafold2 multimer modeling
AlphaFold2 multimer modeling was used through the Mmseqs2 notebook of ColabFold (Mirdita et al., 2022) to make structural predictions of PI3Kβ (p110β/p85α) bound to Gβγ.The pLDDT confidence values consistently scored above 90% for all models, with the predicted aligned error and pLDDT scores for all models are shown in Figure 3-figure supplement 2.

Single particle tracking
Single fluorescent Dy647-PI3Kβ complexes bound to supported lipid bilayers were identified and tracked using the ImageJ/Fiji TrackMate plugin (Jaqaman et al., 2008).Data was loaded into ImageJ/ Fiji as.nd2 files.Using the LoG detector, fluorescent particles were identified based on their size (~6 pixel diameter), brightness, and signal-to-noise ratio.The LAP tracker was used to generate trajectories that followed particle displacement as a function of time.Particle trajectories were then filtered based on Track Start (remove particles at start of movie), Track End (remove particles at end of movie), Duration (particles track ≥2 frames), Track displacement, and X -Y location (removed particles near the edge of the movie).The output files from TrackMate were then analyzed using Prism 9 graphing software to calculate the dwell times.To calculate the dwell times of membrane-bound proteins we generated cumulative distribution frequency (CDF) plots with the bin size set to image acquisition frame interval (e.g.52 ms).The log 10 (1-CDF) was plotted as a function dwell time and fit to a single or double exponential curve.For the double exponential curve fits, the alpha value is the percentage of the fast-dissociating molecules characterized by the time constant, τ 1 .A typical data set contained dwell times measured for n≥1000 trajectories repeated as n=3 technical replicates.
Single exponential curve fit: Two exponential curve fit: To calculate the diffusion coefficient (µm 2 /s), the probability density was plotted (i.e.frequency divided by bin size of 0.01 µm) versus step size (µm).The step size distribution was fit to the following models: Single species model: Two species model: Image processing, statistics, and data analysis Image analysis was performed on ImageJ/Fiji and MatLab.Curve fitting was performed using Prism 9 GraphPad.The X-fold change in dwell time reported in the main text was calculated by comparing the mean single particle dwell time for different experimental conditions.Note that this is different from directly comparing the calculated dwell time (or exponential decay time constant, τ 1 ).The X% reduction in diffusion or mobility we report in the main text was calculated by comparing the mean single particle displacement (or step size) measured under different experimental conditions.

Figure supplement 2 .
Figure supplement 2. Characterization of Dy647-PI3Kβ membrane association with individual signaling inputs.

and
GβGγ binding mutant, measured on membranes containing either pY or pY/GβGγ.(A-H) Membrane composition: 96% DOPC, 2% PI(4,5)P 2 , 2% MCC-PE.The online version of this article includes the following source data and figure supplement(s) for figure 3: Source data 1.Related to Figure 3A.Source data 2. Related to Figure 3C.Source data 3. Related to Figure 3D.Source data 4. Related to Figure 3E.Source data 5. Related to Figure 3G.Source data 6.Related to Figure 3H.

Figure 3
Figure3 continued , the Btk lipid sensor exhibited a faster association rate constant (k ON ) and a more transient dwell time (1/k OFF ) making it ideal for kinetic analysis of PI3Kβ lipid kinase activity (Figure 5-figure supplement 1).Using Btk-SNAP-AF488, we measured the production of PI(3,4,5)P 3 lipids on SLBs by quantifying the time-dependent recruitment in the presence of PI3Kβ.The change in Btk-SNAP-AF488 membrane
Figure 5 continued