Clathrin lattice reorganization: theoretical considerations

We wish to postulate a mechanism by which flat hexagonal lattices of clathrin trimers transform into coated pits. Using an established model for packing trimers into lattices, we explored the assembly process by single addition of trimers to form polygons. Subject to favorable conditions, removal of a single trimer from a hexagon could lead to the formation of a pentagon. Elimination of trimers from polygonal sheets can occur either at the center of the network or at the edges. Removal of a trimer from the center of these adjacent polygons, "hub transformation," is possible in very few instances, whereas removal from the edges of a polygonal sheet, "fringe transformation," is possible in a host of cases. These hypothetical constructs can be used effectively to explain intermediate structures actually observed in flat hexagonal lattices. The geometry of a purely hexagonal lattice seems to dictate that the first step in transformation must be a "fringe transformation," which then will allow subsequent "hub transformation" to take place leading to the introduction of pentagons into the center of the lattice and ultimately to the curvature of the clathrin lattice.     

Mathematical modelling of the formation of coated vesicles. A theoretical geometrical approach.

The mechanism by which flat hexagonal lattices of clathrin trimers transform into pentagonal/hexagonal spheres remains a mystery. In light of the geometrical nature of this process we have pursued a mathematical approach to the question. Through the geometrical analysis of flat hexagonal lattices we have discovered three possible forms of transformation to introduce curvature into the centre of the lattice: hub-centre transformation; hub-edge transformation; fringe transformation. Hub-edge and fringe transformations are used first to close the lattice while introducing localized curvature at the edges of the lattice. Hub-centre transformation is used after closure to relax the severely localized curvature generated during closure. This scheme not only maximizes the size of the coated vesicle generated, but also minimizes the number of transformations, thus minimizing the energy expended.     

Brain clathrin and clathrin-associated proteins.

The assembly of clathrin into baskets or cages in vitro may depend on formation of complex between clathrin and a polypeptide doublet migrating in the 30000-mol.wt. region. Clathrin with several associated proteins was isolated from coated-vesicle fractions of bovine cerebral cortex. Most associated proteins were separated by Sepharose 4B column chromatograhy. The eluted clathrin retained only the 30000-mol.wt. doublet and assembled into baskets at pH 6.5. Limited proteolysis of coated vesicles or clathrin assembled as baskets removed these clathrin-associated proteins (CAPs) without detectably altering clathrin. Enzyme-treated clathrin assembled into open-lattice structures but no longer formed baskets in vitro. Latex particles with bound enzyme cleaved the CAPs from coated vesicles and clathrin baskets, suggesting that the CAPs protrude from the exterior of the clathrin lattice.     

An AP-1/clathrin coat plays a novel and essential role in forming the Weibel-Palade bodies of endothelial cells

Clathrin provides an external scaffold to form small 50-100-nm transport vesicles. In contrast, formation of much larger dense-cored secretory granules is driven by selective aggregation of internal cargo at the trans-Golgi network; the only known role of clathrin in dense-cored secretory granules formation is to remove missorted proteins by small, coated vesicles during maturation of these spherical organelles. The formation of Weibel-Palade bodies (WPBs) is also cargo driven, but these are cigar-shaped organelles up to 5 mum long. We hypothesized that a cytoplasmic coat might be required to make these very different structures, and we found that new and forming WPBs are extensively, sometimes completely, coated. Overexpression of an AP-180 truncation mutant that prevents clathrin coat formation or reduced AP-1 expression by small interfering RNA both block WPB formation. We propose that, in contrast to other secretory granules, cargo aggregation alone is not sufficient to form immature WPBs and that an external scaffold that contains AP-1 and clathrin is essential.     

Model for transformations of the clathrin lattice in the coated vesicle pathway

Transport of receptors by the coated vesicle pathway entails assembly of clathrin triskelions into a lattice in conjunction with receptors in a membrane. The processes by which the receptors are concentrated, the lattice is assembled, transformed into a cage during vesiculation, and subsequently removed from pinched off vesicles are not understood in regard to mechanism, energetics or control. Tubulin and actin assembly are looked to for analogies applicable to clathrin. The present model supposes that clathrin assembly is energy linked and can be described by kinetic equations of the same general form as those for treadmilling in linear polymers. The coat lattice assembles in a steady state involving the degradation of a high energy form of the clathrin triskelions. Diffuse endocytosis receptors are assumed to be associated with individual triskelions and to be able to trigger clustering and coated pit formation by influencing the assembly kinetics of the bound triskelions. A generalization of the treadmilling scheme is proposed by which the kinetic parameters associated with clathrin polymerization can shift simultaneously for an entire lattice to favor alternatively net assembly or disassembly. This shift is effected by a coordinated conversion of the lattice bound receptors. The conversion of the receptors in turn depends on some global property of the membrane compartments (arguably pH, calcium concentration or transmembrane voltage) which is likely to change as a consequence of vesiculation. Thereby, lattice disassembly can be coordinated with the topological conversion from coated pit to coated vesicle.     

Reconstitution of clathrin-coated bud and vesicle formation with minimal components

During the process of clathrin-mediated endocytosis an essentially planar area of membrane has to undergo a gross deformation to form a spherical bud. Three ways have been recognized by which membranes can be induced to transform themselves locally from a planar state to one of high curvature: a change in lipid distribution between the leaflets, insertion of a protein into one leaflet and formation of a protein scaffold over the surface. Such a scaffold is spontaneously generated by clathrin. Conjectures that the attachment of clathrin was the cause of the change in curvature were challenged on theoretical grounds, and also by the discovery of a number of clathrin-associated proteins with the capacity to induce membrane curvature. We have now developed a cell-free system that has enabled us to demonstrate that clathrin polymerization alone is sufficient to generate spherical buds in a membrane. This process is reversible, as shown by the reassimilation of the buds into the planar membrane when the intra-clathrin contacts are dissociated by the chaperone Hsc70. We further show that the final step in the formation of coated vesicles ensues when clathrin-coated buds are released through the action of dynamin.     

Homology between antigenic determinants of bovine clathrin and clathrin from the brown alga Laminaria digitata

Coated vesicles, essential organelles of intracellular membrane traffic, have been extensively studied in animal and higher plant cells. In the algae, cytological studies only have been performed which demonstrate the presence of such coated vesicles with their surrounding clathrin lattice. The present work has been carried out on coated vesicles isolated for the first time from the brown algae Laminaria digitata. For comparison of the antigenic characteristics of clathrin prepared from the Bovine brain or adrenocortical cells and the clathrin prepared from algae, polyclonal antibodies have been raised to a purified Bovine brain clathrin in Goat and to Bovine adrenocortical clathrin in Rabbit. The positive immunological responses of the coated vesicles and the clathrin from Algae to these antibodies, evidence an homology between antigenic determinants of clathrin from animal and vegetal cells.     

Rigidity of triskelion arms and clathrin nets

Statistical analysis is applied to a set of electron micrographic images (Kocsis, E., B. L. Trus, C. J. Steer, M. E. Bisher, and A. C. Steven. 1991. J. Struct. Biol. 107:6-14), from which quantitative measures are obtained to support the notion that the three arms of a triskelion have statistically identical properties and exhibit independent structural fluctuations. Additionally, a study of local contour fluctuations, which indicates that the elastic properties of a triskelion arm are approximately constant over the entire arm length, is used along with a small deformation statistical mechanics theory to derive an effective, average flexural rigidity for the arms. This result is used to estimate the bending energy necessary to deform a clathrin patch, and comparison is made with the deformation energy of an equivalent area of non-clathrin-coated membrane. We estimate that the rigidity of the clathrin lattice is at least comparable to that of a typical membrane. Hence, the natural curvature of a clathrin cage can stabilize, and perhaps propel, the formation of intracellular coated vesicles.     

Association between coated vesicles and microtubules

In this study, a possible functional association between microtubules and coated vesicles is described. We have found that our preparations of microtubules contained coated vesicles in quantities of usually above 10%. These coated vesicles were identified both by immunological methods using anticoat antibodies and by electron microscopy of negatively stained specimens. In the immune replica, two components of coated vesicles, i.e., heavy (clathrin) and light chains, were recognized as constituents of the preparations. In the electron microscope, it was found that coated vesicles were attached predominantly along the length of microtubules. Furthermore, projections from the microtubules to the triskelion centers of the clathrin lattice were identified and thus seem to serve as linkers between the cytoskeletal structure of the organelle. A similar type of association was detected in tissue culture cells; bridges between coated vesicles and microtubules were clearly identified by electron microscopy of thin sections.     

Lipid bilayer dynamics in plasma and coated vesicle membranes from bovine adrenal cortex. Evidence of two types of coated vesicle involved in the LDL receptor traffic

Pure coated vesicles have been prepared from the bovine adrenal cortex and two homogeneous populations have been separated, one of large diameter (100 nm) and one of small diameter (70 nm). The chemical composition in lipids and proteins of coated vesicles has been compared with that of partially purified plasma membranes and evidences a higher protein/lipid ratio and a higher concentration in phosphatidylethanolamine and unsaturated fatty acids. Evaluation of the lateral diffusion of pyrene in the lipid bilayer of coated vesicles as compared to uncoated vesicles evidences a slowing-down effect of clathrin. Measurements of lipids' rotational diffusion by time-resolved fluorescence indicate a decrease in the order parameter of the lipids in the coated vesicles due to clathrin. A hypothesis is proposed for a possible role of the clathrin coat in the concerted motion of lipids and proteins toward coated pits and in the mechanism of formation of coated vesicles. Separation of the large from the small coated vesicles made it possible to reveal different protein components in the two types of vesicle by electrophoresis and autoradiograms of the [γ-³²P]adenosine triphosphate- (ATP-) treated vesicles. Visualisation of the low-density lipoprotein receptor by ligand blotting and enzyme-linked immunosorbent assay (ELISA) techniques indicates an increased low-density lipoprotein receptor binding capacity in small coated vesicles as compared to large ones and plasma membranes.     

Potassium-dependent assembly of coated pits: new coated pits form as planar clathrin lattices

Previous studies have shown that when human fibroblasts are depleted of intracellular K+, coated pits disappear from the cell surface and the receptor-mediated endocytosis of low density lipoprotein (LDL) is inhibited. We have now used the K+ depletion protocol to study several aspects of coated pit function. First, since coated pits rapidly form when K+-depleted fibroblasts are incubated in the presence of 10 mM KCl, we studied the sequence of assembly of coated pits as visualized in carbon-platinum replicas of inner membrane surfaces from cells that had been incubated in the presence of K+ for various times. New coated pits initially appeared as planar clathrin lattices that increased in size by the formation of polygons at the margin of the lattice. Once the lattice reached a critical size it invaginated to form coated vesicles. Second, we determined that LDL-ferritin can induce clustering of LDL receptors over noncoated membrane on the surface of K+-depleted fibroblasts; however, when these cells are subsequently incubated in the presence of K+, these clusters become associated with newly formed coated pits and are internalized. Finally, we determined that K+ depletion inhibits the assembly of coated pits, but that existing coated pits in K+-depleted cells are able to internalize LDL. These results suggest that the clathrin lattice of coated pits is actively involved in membrane shape change during endocytosis and that the structural proteins of the lattice are cyclically assembled and disassembled in the process.     

Statistical mechanical model of the energetics of coated vesicle formation.

Adsorptive endocytosis is mediated by a structural transformation of a two-dimensional hexagonal lattice to a polyhedron or coated vesicle. Clathrin is the structural protein involved in this process. A theoretical model that focuses on the energetics of clathrin in coated vesicle formation is presented. Fisher's cluster model of phase transitions is applied to this problem. The equilibrium constant for the process of converting a large two-dimensional patch to a coated vesicle and a smaller patch is calculated. There are three energetic contributions to be considered. They are the surface energy, the interior or lattice energy, and a loop entropy. Features of the Ising model are introduced into this model by scaling the critical exponents. In determining the configurational partition functions required for equilibrium constant calculations, the polyhedron is represented as a planar graph with no surfaces. The equilibrium constants are extremely sensitive to changes in the lattice and surface energies. The loop entropy contributions favor bimodal distributions in vesicle size under certain conditions. Conditions can also be established where the energy required to form the vesicle is small.     

Brain Coated Vesicle Destabilization and Phosphorylation of Coat Proteins

Abstract: Two basic polypeptides, bee venom melittin and poly-L-lysine, induced concentration-dependent destabilization of bovine brain coated vesicles. Ultrastructurally the changes observed were aggregation of clathrin coats and segregation of the vesicle membrane, concomitant with the appearance of elongated cisternae of various sizes. Changes in coated vesicle morphology induced by melittin and poly-L-lysine were concurrent with stimulation of phosphate incorporation in proteins of the coat lattice: M, 33,000 and 100,000. Melittin-stimulated phosphorylation was Ca²⁺ sensitive and inhibited by EGTA. The initiation of vesicle membrane segregation by melittin, followed by fusion and formation of elongated membrane cisternae, paralleled an increase of endogenous phospholipase A₂ activity. The data suggest that a correlation exists between the state of assembly of the coat proteins on coated vesicles and protein phosphorylation.     

Stabilization of clathrin coats by the core of the clathrin-associated protein complex AP-2

AP-2 is the class of clathrin-associated protein complex found in coated vesicles derived from the plasma membrane of eukaryotic cells. We demonstrate here, using a chemical method, that an AP-2 complex is an asymmetric structure consisting of one large alpha chain, one large beta chain, one medium AP50 chain, and one small AP17 chain. The complex has been shown to contain a core and two appendages. The AP core includes the small AP17 and the medium AP50 chains together with the amino-terminal domains of the large alpha and beta chains. One appendage corresponds to the carboxy-terminal domain of the beta chain. We find that as in the case of the beta chains, the carboxy-terminal portion of the alpha chains is an independently folded domain corresponding to the second appendage. We use limited tryptic proteolysis of clathrin/AP-2 coats to show the release of the appendages from the interior of the coats and the retention of the AP core by the remaining clathrin lattice. In addition, we find that the AP core stabilizes the coat and prevents its depolymerization. These results are consistent with the proposal that the AP core contains the binding site(s) for clathrin, while the alpha- and beta-chain appendages interact with membrane components of coated pits and coated vesicles.     

Effect of Clathrin Light Chains on the Stiffness of Clathrin Lattices and Membrane Budding

Clathrin‐dependent transport processes require the polymerization of clathrin triskelia into polygonal scaffolds. Together with adapter proteins, clathrin collects cargo and induces membrane bud formation. It is not known to what extent clathrin light chains affect the structural and functional properties of clathrin lattices and the ability of clathrin to deform membranes. To address these issues, we have developed a novel procedure for analyzing clathrin lattice formation on rigid surfaces. We found that lattices can form on adaptor‐coated convex‐, planar‐ and even shallow concave surfaces, but the rate of formation and resistance to thermal dissociation of the lattice are greatly enhanced on convex surfaces. Atomic force microscopy on planar clathrin lattices demonstrates that the stiffness of the clathrin lattice is strictly dependent on light chains. The reduced stiffness of the lattice also compromised the ability of clathrin to generate coated buds on the surface of rigid liposomal membranes.      

Clathrin self-assembly involves coordinated weak interactions favorable for cellular regulation

The clathrin triskelion self-assembles into a polyhedral coat surrounding membrane vesicles that sort receptor cargo to the endocytic pathway. A triskelion comprises three clathrin heavy chains joined at their C-termini, extending into proximal and distal leg segments ending in a globular N-terminal domain. In the clathrin coat, leg segments entwine into parallel and anti-parallel interactions. Here we define the contributions of segmental interactions to the clathrin assembly reaction and measure the strength of their interactions. Proximal and distal leg segments were found to lack sufficient affinity to form stable homo- or heterodimers under assembly conditions. However, chimeric constructs of proximal or distal leg segments, trimerized by replacement of the clathrin trimerization domain with that of the invariant chain protein, were able to self-assemble in reversible reactions. Thus clathrin assembly occurs because weak leg segment affinities are coordinated through trimerization, sharing a dependence on multiple weak interactions with other biopolymers. Such polymerization is sensitive to small environmental changes and is therefore compatible with cellular regulation of assembly, disassembly and curvature during formation of clathrin-coated vesicles.     

Clathrin in Trypanosoma cruzi: in silico gene identification, isolation, and localization of protein expression sites

Clathrin is a scaffold protein found in different types of coated vesicles in most eukaryotic cells. Major forces that drive clathrin coat formation are the adaptor protein complexes. Trypanosoma cruzi is a flagellate protozoan that ingests macromolecules through receptor-mediated endocytosis, but the molecules involved in this process are still poorly known. Bioinformatics was used to identify proteins in the T. cruzi genome database, permitting discrimination of the genes involved in clathrin coat assembly. Clathrin expression was demonstrated in T. cruzi epimastigotes by using several experimental approaches. Western blot analysis showed a single 180-kDa protein band, which corresponds to the molecular mass of mammalian clathrin heavy chain. A flow cytometry assay demonstrated that the clathrin heavy chain was expressed in 97.74% of the cell population analyzed, with a high-fluorescence signal. Immunofluorescence observation showed labeling clustered at the flagellar pocket and Golgi complex region. Coated vesicles budding off from the flagellar pocket and the trans Golgi network membranes were identified by transmission electron microscopy. Our data demonstrate the expression of clathrin in T. cruzi epimastigotes and show the association of this polypeptide with the parasite endocytic and exocytic pathways.     

Cryo-electron tomography of clathrin-coated vesicles: structural implications for coat assembly

Clathrin-coated vesicles mediate vesicular traffic in cells. Three-dimensional image reconstructions of homogenous populations of in vitro assembled clathrin coats have yielded a molecular model for clathrin and its interactions with some of its partners. The intrinsic averaging required for those calculations has precluded detailed analysis of heterogeneous populations of clathrin-coated vesicles isolated from cells. We have therefore used cryo-electron tomography to study the lattice organization of individual clathrin-coated vesicles and the disposition of the captured vesicle with respect to the surrounding coat. We find a wide range of designs for the clathrin lattice, with different patterns of pentagonal, hexagonal, and occasionally heptagonal facets. Many coats, even smaller ones, enclose membrane vesicles, which are generally offset from the center of the clathrin shell. The electron density distribution between the coat and the underlying vesicle is not uniform, and the number of apparent contacts that anchor the clathrin lattice to the vesicle membrane is significantly less than the number of clathrin heavy chains in the assembly. We suggest that the eccentric position of the vesicle reflects the polarity of assembly, from initiation of coat formation to membrane pinching.     

Effects of cytoplasmic acidification on clathrin lattice morphology

Reducing the internal pH of cultured cells by several different protocols that block endocytosis is found to alter the structure of clathrin lattices on the inside of the plasma membrane. Lattices curve inward until they become almost spherical yet remain stubbornly attached to the membrane. Also, the lattices bloom empty "microcages" of clathrin around their edges. Correspondingly, broken-open cells bathed in acidified media demonstrate similar changes in clathrin lattices. Acidification accentuates the normal tendency of lattices to round up in vitro and also stimulates them to nucleate microcage formation from pure solutions of clathrin. On the other hand, several conditions that also inhibit endocytosis have been found to create, instead of unusually curved clathrin lattices with extraneous microcages, a preponderance of unusually flat lattices. These treatments include pH-"clamping" cells at neutrality with nigericin, swelling cells with hypotonic media, and sticking cells to the surface of a culture dish with soluble polylysine. Again, the unusually flat lattices in such cells display a tendency to round up and to nucleate clathrin microcage formation during subsequent in vitro acidification. This indicates that regardless of the initial curvature of clathrin lattices, they all display an ability to grow and increase their curvature in vitro, and this is enhanced by lowering ambient pH. Possibly, clathrin lattice growth and curvature in vivo may also be stimulated by a local drop in pH around clusters of membrane receptors.     

Clathrin assembly proteins: affinity purification and a model for coat assembly

Assembly protein (AP) preparations from bovine brain coated vesicles have been fractionated by clathrin-Sepharose affinity chromatography. Two distinct fractions that possess coat assembly activity were obtained and are termed AP-1 and AP-2. The AP-1, not retained on the resin, has principal components with molecular weights of 108,000, 100,000, 47,000, and 19,000. The AP-2, bound to the resin and eluted by Tris-HCl at a concentration that parallels the latter's effect on coat disassembly, corresponds to the active complex described previously (Zaremba, S., and J. H. Keen, 1983, J. Cell Biol., 97:1339-1347). Its composition is similar to that of the AP-1 in that it contains 100,000-, 50,000-, and 16,000-mol-wt polypeptides in equimolar amounts; minor amounts of 112,000- and 115,000-mol-wt polypeptides are also present. Both are distinct from a recently described assembly protein of larger subunit molecular weight that we term AP-3. These results indicate the existence of a family of assembly proteins within cells. On incubation with clathrin both AP-1 and AP-2 induce the formation of coat structures, those containing AP-1 slightly smaller (mean diameter = 72 nm) than those formed in the presence of AP-2 (mean diameter = 79 nm); both structures have been detected previously in coated vesicle preparations from brain. Coats formed in the presence of AP-2 consistently contain approximately one molecule each of the 100,000-, 50,000-, and 16,000-mol-wt polypeptides per clathrin trimer. By low angle laser light scattering the molecular weight of native AP-2 was determined to be approximately 343,000, indicating that it is a dimer of each of the three subunits, and implying that it is functionally bivalent in clathrin binding. A model for AP-mediated coat assembly is proposed in which a bivalent AP-2 molecule bridges the distal legs or terminal domains of two clathrin trimers that are destined to occupy adjacent vertices in the assembled coat. Binding of a second AP-2 molecule locks these two trimers in register for assembly and further addition of AP-2 to free trimer legs promotes completion of the clathrin lattice. Effects of AP binding on the angle and flexibility of the legs at the hub of the trimer (the "pucker") are suggested to account for the characteristic size distributions of coats formed under varied conditions and, more speculatively, to contribute to the transformation of flat clathrin lattices to curved coated vesicles that are thought to occur during endocytosis.