trends in CELL BIOLOGY (Vol. 10) May 2000 hypothesis Why cytoplasmic signalling proteins should be recruited to cell membranes FORUM Upon stimulation, certain protein kinases, phosphatases and other players in signal transduction relocate to membranes, cytoskeletal structures, scaffolding proteins or organelles1–3. Here we take receptor tyrosine kinase (RTK) signalling as our main example (Fig. 1). Stimulation of RTKs is linked to the activation of mitogen-activated protein kinase (MAPK) cascades through a cytoplasmic protein Sos (a homologue of the Drosophila melanogaster ‘Son of sevenless’ protein) and the small GTP-hydrolysing protein Ras, anchored to the cell membrane4. Sos is a GDP/GTP exchange factor that catalyses the conversion of inactive Ras (i.e. its GDP-bound form) to active Ras (its GTP-bound form). The adaptor protein Grb2 (growth-factor-receptor-binding protein 2) mediates the binding of Sos to activated RTKs, such as the epidermal growth factor receptor (EGFR). Grb2 binds to the activated EGFR directly or through another adaptor protein, tyrosine-phosphorylated Shc (src homology and collagen domain protein). The EGFR does not phosphorylate Sos, nor does the catalytic activity of Sos towards Ras change upon Sos binding to the receptor5. When Sos is recruited to the membrane by activated EGFR, Sos can interact with the membrane polyphosphoinositides through an N-terminal pleckstrin homology (PH) domain. This interaction pattern raises a number of questions about the role of the plasma membrane relocation in signal transduction. Why should the Grb2–Sos complex bind to the membrane receptor if Sos catalytic activity is not activated by the receptor? What prevents direct interaction of cytosolic Sos with the membrane-bound Ras from activating the latter? Why is Ras anchored to the membrane? Should anchoring itself be a regulatory event? What is essentially different in the activated versus the nonactivated RTK? It has been proposed that the recruitment of Sos to the proximity of the membranebound Ras is a key feature in the activation of Ras by phosphorylated EGFR6–8. But what does recruitment mean? If it means that Sos is first bound to the EGFR and then moves to Ras by two-dimensional diffusion, then why should this accelerate signal transduction? Cytosolic Sos still requires the same amount of time to reach the EGFR. Binding to EGFR would slow down its diffusion unless Sos dissociated again, but then Sos would escape back to the cytosol rather than bind to Ras. To clarify the effect of membrane localization, we consider two extremes. When two protein molecules form a productive complex (i.e. transduce the signal) after each diffusive encounter, the signal-transduction process is ‘diffusion-limited’. If only a small fraction of the collisions leads to binding that lasts long enough to transfer the information, the signal transduction is ‘reaction-limited’. In this case, the reaction rate is controlled by the alignment of reactive patches in the correct orientation or by the intrinsic chemical transformation rather than by the Brownian collisions of the molecules. The two protein molecules then associate and dissociate several times before signal transduction takes place. We will now analyse the consequences of the membrane translocation for diffusion- and reaction-limited signal transduction. Boris N. Kholodenko, Jan B. Hoek and Hans V. Westerhoff It has been suggested that localization of signal-transduction proteins close to the cell membrane causes an increase in their rate of encounter after activation. We maintain that such an increase in the first-encounter rate is too small to be responsible for truly enhanced signal transduction. Instead, the function of membrane localization is to increase the number (or average lifetime) of complexes between cognate signal transduction proteins and hence increase the extent of activation of downstream processes. This is achieved by concentrating the proteins in the small volume of the area just below the plasma membrane. The signal-transduction chain is viewed simply as operating at low default intensity because one of its components is present at a low concentration. The steady signalling level of the chain is enhanced 1000-fold by increasing the concentration of that component. This occurs upon ‘piggyback’ binding to a membrane protein, such as the activated receptor, initiating the signal-transduction chain. For the effect to occur, the protein translocated to the membrane cannot be free but has to remain organized by being piggyback bound to a receptor, membrane lipid(s) or scaffold. We discuss an important structural constraint imposed by this mechanism on signal transduction proteins that might also account for the presence of adaptor proteins. Does membrane localization enhance diffusionlimited signal transduction? Adam and Delbrück suggested that the reduction in dimensionality might enhance reaction rates between solutes that bind to membranes and membranebound species9; the solutes should not get lost by wandering off into the bulk phase. The relevance and magnitude of this enhancement has been studied extensively in various biological systems10–12. Conservative estimates can be made of the time taken by signal transduction proteins in the cell 0962-8924/00/$ – see front matter © 2000 Elsevier Science Ltd. All rights reserved. PII: S0962-8924(00)01741-4 173 FORUM hypothesis Ligand Ligand unlikely to be an enhancement of the encounter rates of signal transduction proteins. Shc Grb2 SO Ras Ras SO Grb2 Raf Raf RTK RTK Grb2 SO MEK MEK Shc SO Erk Grb2 Erk trends in Cell Biology FIGURE 1 Receptor tyrosine kinase (RTK)-mediated activation of mitogen-activated protein kinase (MAPK) cascade through Ras. The upper part of the figure emphasizes the situation where signal transduction occurs at the membrane surface. The bottom part of the figure indicates that some of the signal transduction proteins might also reside in the cytosol, raising the question of whether a signal could be transmitted through the cytosol or why binding of Grb2/Sos to the activated receptor might be required. SO, Sos. Boris N. Kholodenko and Jan B. Hoek are in the Dept of Pathology, Anatomy and Cell Biology, Thomas Jefferson University, 1020 Locust St, Philadelphia, PA 19107, USA; and Hans V. Westerhoff is in the Dept of Molecular Cell Physiology and Mathematical Biochemistry, BioCentrum Amsterdam, De Boelelaan 1087, NL-1081 HV Amsterdam, The Netherlands. E-mails: boris.kholodenko@ mail.tju.edu; [email protected] 174 membrane or in the cytosol to encounter their first partner molecule by free diffusion13. A spherical cell with a radius of 10 mm has a surface area of 1260 mm2. If it contains 10 000 copies of each signal transduction protein in its membrane, then at 0.35 mm spacing the protein molecules occupy the entire cell surface. Partners in signal transduction should then be approximately L 5 0.25 mm apart. The average time for them to meet a neighbour should be approximately L2/2D, where D is the lateral diffusion coefficient. As the membrane diffusion coefficient of the protein is approximately 10–9–10–10 cm2/s (Refs 14 and 15), it should take about 0.3–3 s before the partner proteins hit each other when diffusing in two dimensions. For three-dimensional signal transduction with 10 000 proteins per cytosol, the partner proteins will be on average 0.6 mm apart. Using a diffusion coefficient of 10–8 cm2/s for cytosol diffusion (see Ref. 16 and references therein), this leads to a time of L2/(3D) 5 0.1 s, which is faster, not slower, than the 0.3–3s for the 2-D scenario. These estimates show that, for homogeneous protein distribution, hooking proteins up to the plasma membrane causes very little, if any, increase in their encounter rates. Indeed, it has been argued that the fastest route to diffusion is through the cytosol, not the membrane, because of two orders of magnitude difference in the diffusion coefficients17. In Box 1, a more rigorous comparison of the rates of diffusionlimited protein associations in the cell membrane and in the cytosol leads to the same conclusion: the function of attachment to the plasma membrane is Membrane association might enhance reaction-limited signal transduction In the reaction-limited extreme, the catalytic rate is much slower than the association and dissociation rates. The influence of first-encounter rates controlled by diffusion on the overall reaction rate can be neglected, and the signal transduction rate is determined by the fraction of molecules in the associated state multiplied by a reaction rate constant13. The effect of association to the membrane is that of an increased local concentration. This causes an increase in the apparent affinity and can enhance the association of two membrane-associated proteins compared with two cytosolic proteins. Using order-of-magnitude reasoning, Haugh and Lauffenburger estimated that the increase in reaction-limited protein association could be as high as 102–103 (Ref. 20). The enhancement depends on many molecular details including the reversibility of the binding12, which implies that the dissociation rate constant might also change upon membrane relocation. For instance, affinity enhancement due to ‘macromolecular crowding’ appeared to be caused partly by a decrease in the dissociation rate constant22. A gain in the number of signalling complexes is more important than an increase in the encounter rate The calculations above showed that encounter times are of the order of 0.1–1 s. Thus, an increase in first-encounter rate can be important for very fast signalling processes, which are diffusion-limited. For example, a rapid onset of EGFR phosphorylation in response to growth factors implies that receptor dimerization proceeds as an almost diffusion-limited step23. For reaction-limited processes, which are slower, a change in first-encounter rate is irrelevant. Instead, the mechanism underlying an increase in signal transfer rate involves an increase in the number of signalling complexes that act as catalysts activating downstream processes. We submit that membrane localization serves to enhance the extent of complex formation of signal-transduction proteins and hence increases the intensity of the signal being transduced. If the extent of complex formation is indeed the important issue, then the following, comparatively simple, analysis can be made of the effect of membrane localization. Membrane anchoring of only one of two interacting proteins does not lead to a gain in the number of signalling complexes Does the number of complexes formed by signalling proteins depend on whether one of the interacting proteins is bound to the membrane (rather than both proteins diffusing in the cytosol)? We assume that the standard free-energy difference of the binding reaction does not depend on the spatial localization of the complex, so that the equilibrium constant Kd is the same regardless of whether one of the proteins is associated with the membrane. trends in CELL BIOLOGY (Vol. 10) May 2000 FORUM hypothesis BOX 1 – COMPARISON OF THE RATES OF DIFFUSION-LIMITED PROTEIN ASSOCIATIONS IN THE CELL MEMBRANE AND IN THE CYTOSOL Modern theories of diffusion-limited reactions show that a two-dimensional association rate constant is not a constant parameter but depends slightly on time18. Based on these theories, Lamb and Pugh estimated the encounter rate between membrane proteins using the sum of their diffusion coefficients (Dm) and the sum of their radii (rprot)19. If we express the concentrations of the proteins based on the whole cell volume, the association rate constant is predicted to be: k m (t ) = 4pD m N A(V / M) 2 ln(4D mt / r prot ) − 2g (13) where t is the time from the onset of reaction, NA is Avogadro’s number, V is the volume of the cell, M is the surface area of the membrane and g 5 0.58 is Euler’s constant. When the time increases from 0.05 to 100 s, the association rate constant decreases by a factor of 2 (for typical values of Dm and rprot)19. Therefore, in the time frame of seconds, the time dependency of the two-dimensional rate constant can be neglected. The encounter rate in three dimensions is described by the following expression for the second-order rate constant, kc 5 4pNADcrprot, where Dc is the sum of the diffusion coefficients of the encountering cytosolic proteins. The rate enhancement due to the confinement of proteins to the plasma membrane can be estimated as the ratio (h) of the association rate constant in two dimensions to that in three dimensions. For diffusion-limited association of two proteins located in the plasma membrane of a spherical cell or delocalized over the cytosol volume, the ratio h can be approximated as h 5 (0.02 – 0.05)(Dm/Dc)(rcell/rprot). The cell radius, rcell, appears in the equation as the result of dividing the cell volume by the cell surface area. For rcell of 10 mm and rprot of about 10–2 mm, h ≈ (20 – 50)Dm/Dc. Because the diffusion coefficients of proteins in the membrane are two orders of magnitude lower than in the cytosol, the rate enhancement due to association with the membrane (if any) is moderate for protein–protein associations limited by diffusion. The diffusionlimited association rate might actually decrease in the membrane20. We conclude that the function of localization at the plasma membrane is unlikely to be an enhancement of diffusion rates. However, if both interacting proteins are targeted to specific membrane domains (e.g. membrane rafts21) constituting a small fraction of the whole plasma membrane, then an increase in diffusion-limited association rates can be significant. BOX 2 – INTERACTIONS OF A AND T RESULTING IN THE FORMATION OF AN AT COMPLEX Let A be a cytoplasmic protein and T a membrane-associated target protein that contains a specific A-binding domain (Fig. 2). We denote by Vm the volume of a water layer adjacent to the membrane to which protein T is confined and by Vc the cytosol volume. At equilibrium, the law of mass action relates the concentrations of A, T and the complex AT to the dissociation constant, Kd (the number of molecules in the cell will be designated by the same symbols as the corresponding species, in italics): A ⋅T Vc Vm 1 A ⋅ T ⋅ = Kd = AT Vc AT Vm ( ) (1) The numbers A, T and AT of the corresponding molecules in the cell are restricted by the total numbers, Atot, Ttot, as follows: A + AT = A tot T + AT = T tot (2) (3) As only Vc remains in Eqns 1–3, it follows that the number of complexes AT does not depend on whether one of the interacting proteins is anchored to the plasma membrane or both proteins are in the cytosolic fraction of the cell. To compare direct interactions with receptor-mediated interactions of cytoplasmic A with T, we estimate the Kd value, which allows more than 50% of the total A protein to be associated with T. It follows from Eqns 1–3 that more than half of the molecules of Atot will be in the complex AT if Ttot ≥ Atot/2 and if the dissociation constant of specific binding is less than: K d (direct binding, AT ≥ 0.5A tot ) ≤ (1− A tot / 2T tot ) ⋅ T trends in CELL BIOLOGY (Vol. 10) May 2000 tot Vc (4) 175 FORUM hypothesis T amount to 1000 (Ref. 2). Therefore, one possibility for a signal-transduction chain to enhance the extent of association of its proteins (or reduce the number of protein molecules per cell required to achieve the same extent of association) is to have these proteins anchored to the membrane. AT A trends in Cell Biology FIGURE 2 Direct interaction between a cytosolic protein A and a membrane-anchored target protein T, leading to the formation of the complex AT. The analysis in Box 2 shows that the fraction of a cytosolic protein A that is complexed to a membrane target T (Fig. 2) is independent of whether T is confined to the membrane or allowed to delocalize all over the cytosol. Direct interaction of A and T will result in significant binding only if Kd does not exceed the concentration of the target protein dissolved in the cytoplasmic volume (Eqn 4). We conclude that membrane localization of only one of the interacting proteins does not enhance complex formation and signal transduction. Membrane anchoring of both interacting proteins might increase the number of signalling complexes If both signal transduction partners are anchored to the membrane, then they exist in a reduced volume and association should be favoured. The analysis is given by the equations in Box 2, provided that the cytosolic volume Vc is replaced by volume of the shell near the membrane that is accessible to the proteins, Vm. A consequence is that the dissociation constant Kd required for a certain degree of association of two membrane-linked proteins exceeds that required for the same degree of association of two cytosolic proteins, by the ratio Vc/Vm. For a spherical cell of radius 10 mm and a submembrane layer of thickness 3 nm (corresponding to the dimensions of an anchored protein), the ratio Vc/Vm might well T R RAT A T (1) (2) RA trends in Cell Biology FIGURE 3 Piggyback mechanism of the complex formation between a cytosolic protein A and a membrane-anchored target protein T. Interaction of A and T is promoted by first binding A to the receptor R after activation of R, which recruits A to the membrane surface. 176 Piggyback riding: receptor-mediated membrane localization increases the number of complexes formed by a cytoplasmic protein and a membrane-anchored protein A gain in the number of signalling complexes involving a cytosolic protein A and its target T can also be brought about by a reversible, ‘piggyback’ mechanism. Here, A binds to a ‘piggy’ protein receptor (R) that is itself bound irreversibly to the membrane (Fig. 3). Protein A then rides piggyback until it meets membrane-bound target T. It then forms a complex with T, while continuing to ride piggyback on R. A simple analysis of quasi-equilibrium binding is given in Box 3. Equations 10 and 12 in Box 3 demonstrate that piggyback riding leads to a strong reduction of the apparent (dissociation) equilibrium constant. The factor decrease can be as high as the factor Vc/Vm. Consequently, under conditions where nonmembrane-associated proteins A and T would fail to bind to each other, a significant fraction of piggyback riding A should bind to membrane-anchored T. Active compartmentation: a tool to activate signal transduction In signal transduction, it is the extent of activation – defined as the signal ratio between the active and the inactive state of the pathway – that matters. A 100–1000-fold activation can constitute an effective switch between the ‘on’ and ‘off’ states of a phosphorylation cascade26,27. The piggyback effect should be suitable for the switch between the active and the inactive states of the signal transduction chain. For this to occur the receptor should have affinity for A only after activation by its own signal. Such regulated translocation of the kinases and phosphatases can generate switch-like responses due to enzyme-saturation effects28. The simple principle for signal transduction is as follows. Upon binding of its extracellular ligand, a receptor protein develops an affinity for a cytosolic membrane protein A. This leads to an increased steadystate concentration of A (as the receptor–protein complex RA) near the membrane for as long as the receptor remains activated. Because of this enhanced concentration, more of the target signal-transduction protein complexes with A, enhancing its signal more than 100-fold. In this picture, diffusion rates are irrelevant; it is all mass-action balance at steady state, the balance being tipped by concentrating A close to the membrane. Structural constraints and scaffolds In the analysis above, it was RA (the receptor–protein complex) and not just A (the free protein) that bound the target T. If only free A was able to bind to T, the presence of the receptor should decrease rather than increase association of A and T and hence decrease the trends in CELL BIOLOGY (Vol. 10) May 2000 FORUM hypothesis BOX 3 – PIGGY-BACK MECHANISM OF THE FORMATION OF A COMPLEX INVOLVING A CYTOSOLIC A AND A MEMBRANE-ANCHORED T We designate by R, RA and RAT the numbers of molecules of the receptor R, of its complex with A and of the ternary complex RAT per cell (Fig. 3). Rtot is the total number of activated receptor molecules. The binding of A and R is characterized by the dissociation constant K dR. To compare a direct binding of A and T with a two-step interaction involving the association of A and R, we assume that the association of both cytoplasmic A and the complex RA with membrane-bound T is characterized by the same dissociation constant, Kd. At equilibrium, the concentrations of interacting molecules and their complexes are related through the law of mass action: ( K dR = 1 ⋅ A ⋅ R RA Vc R + RA + RAT = R tot ) ( K d = 1 ⋅ RA ⋅ T RAT Vm (5) A + RA + RAT = A tot (7) (8) ) (6) T + RAT = Y tot (9) If all A molecules were bound to the receptor R, Eqn 1 (Box 2) and Eqn 6 (Box 3) would be identical after multiplying Eqn 6 by Vm/Vc and substituting Kd by K dapp 5 Kd(Vm/Vc). However, only part of A is bound to R. When Atot is significantly less than Rtot, the changes in R due to the variation in RA and RAT complexes can be neglected. In this case Eqn 7 can be omitted and R is approximated as Rtot. Using Eqn 5 to express A in terms of RA and substituting into Eqn 8, Eqns 5–9 are reduced to three relations that are identical to Eqns 1–3 after substitution of Kd by the apparent dissociation constant K dapp, defined as: R K V K dapp = K d ⋅ m ⋅ (1+ a), a = totd Vc R Vc (10) The value of the dimensionless factor a is determined by the ratio of the dissociation constant for the interactions of A with R and the concentration of the activated receptor based on the whole cytoplasmic volume. Data obtained for receptor tyrosine kinase (RTK) show that Kd is in the range 1–100 nM (Refs 24,25). The total concentration of RTKs (normalized to the cell volume) is in the order of 100 nM and ~20–50% of the total amount is activated by the stimuli (see Ref. 23 and references therein). We conclude that for membrane recruitment by RTKs, the value of a does not exceed 1. In the general case, the number of activated receptor molecules (Rtot) might be comparable to the number of A molecules (Atot). For a two-step mechanism of A and T interaction involving the binding of A and R, we can estimate the value of Kd that allows ≥ 50% of A molecules to be bound to T (in the complex RAT). Obviously, this requires the total numbers of the interacting molecules (A, T and R) to satisfy the restrictions: Rtot ≥ Atot/2; Ttot ≥ Atot/2. Substituting the inequality RAT/Atot ≥ 0.5 into Eqns 5–9 and expanding the solution of the resulting quadratic equation using the above restrictions, we find that the corresponding Kd should satisfy the inequality: K d (RAT ≥ 0.5A tot ) ≤ (1− A tot / 2T tot ) ⋅ (1− A tot / 2R tot ) T tot ⋅ Vm (1+ a) (11) Equations 11 and 4 (Box 2) can be used to compare the values of Kd that allow ≥ 50% of A molecules to be bound to T for a piggyback or direct mechanism of binding: K d ( piggy − back mechanism , RAT ≥ 0.5A tot ) K d (direct binding , AT ≥ 0.5A tot ) ( tot tot V 1− A / 2R ≈ c ⋅ (1+ a) Vm activation of T: a membrane protein with affinity to a cytosolic protein cannot increase the free concentration of the latter near the membrane. A must be a twodomain protein, where the binding of one domain to R should not occlude the other domain from T. Perhaps this structural constraint is sometimes met by so-called adaptor proteins. Recruitment of a protein to the membrane by binding to another functional protein has the potential disadvantage that one face of either protein is occluded from its normal activity. Adaptor proteins might serve to bind to proteins while keeping them far enough apart for their surface to retain their normal activity. In addition, they might orient A so as to enhance its affinity to T. trends in CELL BIOLOGY (Vol. 10) May 2000 ) (12) Our analysis also applies to translocation to scaffolds. Scaffolds bring together signalling proteins, organizing and coordinating the function of entire signalling cascades17. Again, binding to a scaffold should not compromise the ability of the signaltransducing proteins to bind to each other. Adaptor proteins might also be required to achieve this end. Are membrane rafts required for promoting fast, diffusion-limited signalling processes? For most cell geometries and with homogeneous protein distribution in the membrane, the translocation to the plasma membrane cannot increase first-encounter rates significantly (if at all). However, 177 FORUM hypothesis as noted above (Box 1), when signalling molecules are concentrated within special membrane domains, such as membrane ‘rafts’21, diffusion rates increase as the ratio of the membrane surface to the total domain area. If this ratio is much greater than one, the diffusion-limited rates will exceed such rates in the cytosol. Therefore, targeting all participants of a signalling chain to a limited area within a raft will enhance very fast diffusion-limited signalling processes. However, the number of signalling complexes formed within these domains would also increase by the same factor. Therefore, the rate of reaction-limited signal transduction that does not depend on firstencounter rates will also increase by a factor equal to the membrane surface/domain area, i.e. over a f actor of 1000 compared with such a rate in the cytosol. Acknowledgements We dedicate this paper to the memory of Paul Srere, teacher of the importance of macromolecular organization for cell function. We thank Frank Bruggeman, Oleg Demin, Jorrit Hornberg, Jan Lankelma and Oscar Somsen for discussions, and NIH grants GM59570-01A1, AA01786, AA07215, AA08714 and the Netherlands Organization for Scientific Research (NWO) for support. 178 Specifics of Sos–Ras interactions Our example of the EGFR-signalling pathway is used to explain why activation of membrane-bound Ras by direct action of Sos from the cytosol is two or three orders of magnitude less effective than EGFRmediated Sos association with Ras. It also explains why activation of Sos by EGFR does not require any modification of Sos; it arises from concentrating Sos near the membrane. As the partners Ras and Sos are to be localized for effective catalysis, the membrane anchoring of Ras might be a regulatory process2. Indeed, the inhibition of farnesyltransferase blocks Ras function by preventing its posttranslational farnesylation, and has been suggested as a potential anticancer treatment29. An interesting variation on the topic of Ras activation by RTKs has been described for fibroblastgrowth-factor (FGF) receptors (FGFRs)30. Stimulation of FGFRs by various FGFs induces cell proliferation, differentiation and migration by activation of the Grb2–Sos–Ras–MAPK signalling pathway. However, unlike other RTKs, activated FGFR cannot bind to Grb2 directly. Recently, a membrane-anchored protein known as FRS2 (FGFR substrate 2) has been discovered30. Activated FGFR phosphorylates FRS2 protein. 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