REGULAR STRUCTURES IN MEMBRANES : I. Membranes in the Endocytic Complex of Ileal Epithelial Cells

An "apical endocytic complex" in the ileal lining cells of suckling rats is described. The complex consists of a continuous network of membrane-limited tubules which originate as invaginations of the apical plasma membrane at the base of the microvilli, some associated vesicles, and a giant vacuole. The lumenal surface of this tubular network of membranes and associated vesicles is covered with a regular repeating particulate structure. The repeating unit is an ~7.5-nm diameter particle which has a distinct subunit structure composed of possibly nine smaller particles each ~3 nm in diameter. The ~7.5-nm diameter particles are joined together with a center-to-center separation of ~15 nm to form long rows. These linear aggregates, when arranged laterally, give rise to several square and oblique two-dimensional lattice arrangements of the particles which cover the surface of the membrane. Whether a square or oblique lattice is generated depends on the center-to-center separation of the rows and on the relative displacement of the particles in adjacent rows. Four membrane faces are revealed by fracturing frozen membranes of the apical tubules and vesicles: two complementary inner membrane faces exposed by the fracturing process and the lumenal and cytoplasmic membrane surfaces revealed by etching. The outer membrane face reveals a distinct array of membrane particles. This array also sometimes can be seen on the outer (B) fracture face and is sometimes faintly visible on the inner (A) fracture face. Combined data from sectioned, negatively stained, and freeze-etched preparations indicate that this regular particulate structure is a specialization that is primarily localized in the outer half of the membrane mainly in the outer leaflet.     

Isolation of separate apical,lateral and basal plasma membrane from cells of an insect epithelium. A procedure based on tissue organization and ultrastructure

The tissue used in this study was the midgut of the tobacco hornworm larva, Manduca sexta. The midgut epithelium is a single layer of cells resting on a thin basal lamina and underlying discontinuous muscle layer. The epithelial cells are of two main types, goblet and columnar cells, joined together by the septate junctions characteristic of insect epithelia. From this tissue we were able to isolate four distinct plasma membrane fractions; the lateral membranes, the columnar cell apical membrane, the goblet cell apical membrane and a preparation of basal membranes from both cell types. The lateral membranes were isolated by density gradient centrifugation following gentle homogenization of the midgut hypotonic medium, which caused the cells to rupture at their apical and basal surfaces, releasing long segments of lateral membranes still joined by their septate junctions. For isolation of apical and basal membranes the tissue was disrupted by ultrasound, based on the light microscopic observation that carefully controlled ultrasound can be used to disrupt each cell in layers starting at the apical surface. The top layer contained the columnar cell apical membrane, which consists of microvilli forming a brush border covering the lumenal surface of the epithelium. The second layer contained the goblet cell apical membrane, which is invaginated to form a cavity occupying the apical half of the cell, and the third layer contained the basal membranes. As each layer was stripped off the epithelium it was collected and the plasma membrane purified by differential or density gradient centrifugation. For all four membrane fractions, the isolation procedure was designed to preserve the original structure of the membrane as far as possible. This allowed electron microscopy to be used to follow each step in the isolation procedure, and to identify the constituents of each subcellular preparation. Although developed specifically for M. sexta midgut, these techniques could readily be modified for use on other epithelia.     

ELECTRON MICROSCOPE OBSERVATIONS ON THE SURFACE ADENOSINE TRIPHOSPHATASE-LIKE ENZYMES OF HELA CELLS INFECTED WITH HERPES VIRUS

HeLa cells infected with herpes simplex virus have been examined in thin sections by electron microscopy after cytochemical staining for the presence of surface enzymes splitting adenosine triphosphate. As with uninfected HeLa cultures (18), the opaque enzyme reaction product was localized at the plasma membranes of about half the cells, tending to be present where there were microvilli and absent on smooth surfaces. Where mature extracellular herpes particles were found in association with cell membranes showing the enzyme activity, they were invariably likewise stained, and conversely, those mature particles which lay close against cells without reaction product at the surface were themselves free of it. Particles found budding into cytoplasmic vacuoles were also always without opaque deposit since this was never seen at vacuolar membranes, even in cells having the activity at the surface. The enzyme reaction product thus provided a marker indicating the manner in which the particles escape from cells and mature by budding out through cellular membranes, carrying, in the process, a portion of the latter on to themselves to form the outer viral limiting membrane. In some instances, virus particles were observed with more opaque material covering them than was present at the cell membrane with which they were associated. This finding has been taken as evidence for a physiological waxing and waning of surface enzyme activity of adenosine triphosphatase type. The fine structure of the mature extracellular virus as prepared here, using glutaraldehyde fixation, is also recorded. The observations and interpretations are discussed in full.     

Cellular organization and peritrophic membrane formation in the cardia (Proventriculus) of Drosophila melanogaster

The peritrophic membrane of Drosophila melanogaster consists of four layers, each associated with a specific region of the folded epithelial lining of the cardia. The epithelium is adapted to produce this multilaminar peritrophic membrane by bringing together several regions of foregut and midgut, each characterized by a distinctively differentiated cell type. The very thin, electron-dense inner layer of the peritrophic membrane originates adjacent to the cuticular surface of the stomadeal valve and so appears to require some contribution by the underlying foregut cells. These foregut cells are characterized by dense concentrations of glycogen, extensive arrays of smooth endoplasmic reticulum, and pleated apical plasma membranes. The second and thickest layer of the peritrophic membrane coalesces from amorphous, periodic acid-Schiff-positive material between the microvilli of midgut cells in the neck of the valve. The third layer of the peritrophic membrane is composed of fine electron-dense granules associated with the tall midgut cells of the outer cardia wall. These columnar cells are characterized by cytoplasm filled with extensive rough endoplasmic reticulum and numerous Golgi bodies and by an apical projection filled with secretory vesicles and covered by microvilli. The fourth, outer layer of the peritrophic membrane originates over the brush border of the cuboidal midgut cells, which connect the cardia with the ventriculus.     

Immunocytochemical localization of aminopeptidase N on the cell surface of isolated porcine thyroid follicles

Summary The ultrastructural location of aminopeptidase N on the cell surface of isolated porcine thyroid follicle cells was studied with immunocytochemistry using antibodies against intestinal aminopeptidase N and protein A-colloidal gold. Gold particles, indicating immunoreactivity, were selectively attached to the apical cell surface. Occasionally, there was a sparse labelling of the basal cell surface. In follicles kept at 4° C most gold particles at the apical cell surface appeared as clusters, with each gold particle situated at a constant distance of about 20 nm from the membrane surface. The gold particles were concentrated on the membranes of microvilli, in comparison to the smooth (intermicrovillar) portions of the apical plasma membrane. In follicles incubated at 37° C for 5–180 min gold particles were slowly internalized by predominantly smooth-surfaced micropinocytic vesicles and subsequently appeared in colloid droplets and lysosomes. Gold particles were not observed in Golgi cisternae. TSH did not appear to influence the rate of internalization. TSH-induced pseudopods were unlabelled.Our electron-microscopic observations confirm previous immunofluorescence-microscopic evidence that aminopeptidase N is selectively expressed in the apical plasma membrane domain in the thyroid follicle cell. Furthermore, aminopeptidase N appears to be distributed in microdomains within the apical plasma membrane. Earlier indications of molecular differences between the pseudopod membrane and the apical plasma membrane proper are further emphasized.This study was supported by Grant No 12X-537 from the Swedish Medical Research Council     

Detection of plasma membrane cholesterol by filipin during microvillogenesis and ciliogenesis in quail oviduct

Using filipin as a probe for the presence of membrane cholesterol, the evolution of cholesterol distribution in the apical plasma membrane was studied during estrogen-induced ciliogenesis in quail oviduct and compared with the distribution of intramembrane particles (IMPs). Ciliary growth is preceded by the first step of microvillus differentiation. Microvilli emerge in membrane domains rich in IMPs and devoid of filipin-cholesterol (f-c) complexes. However growing microvillus membrane shows f-c complexes. During ciliary growth, microvilli lengthen from 0.5 to 2 microns, indicating that the microvillar membrane is not a membrane reservoir for ciliogenesis. During ciliary growth, the characteristic ciliary necklace IMP rows appear progressively at the base of cilia. The first IMP row is organized in a membrane circlet lacking of f-c complexes, whereas the new shaft membrane in the middle of the circlet exhibits numerous complexes. These two different domains of the cilia keep their specificity during ciliary growth. Only the ciliary tip shows fewer complexes than the shaft membrane. The apical membrane of differentiated ciliated cells is thus composed of various domains, the ciliary shaft full of f-c complexes and poor in IMPs, the ciliary necklace is devoid of f-c complexes and rich in IMPs, the microvilli membrane is rich in both IMPs and f-c complexes, and the interciliary membrane is poor in both f-c complexes and IMPs, whereas the undifferentiated cells exhibit an apical membrane in which f-c complexes and IMPs are distributed homogeneously.     

Differentiation of epithelial cells in the urinary tract

Uroplakins, cytokeratins and the apical plasma membrane were studied in the epithelia of mouse urinary tract. In the simple epithelium covering the inner medulla of the renal pelvis, no uroplakins or cytokeratin 20 were detected and cells had microvilli on their apical surface. The epithelium covering the inner band of the outer medulla became pseudostratified, with the upper layer consisting of large cells with stalks connecting them to the basal lamina. Uroplakins and cytokeratin 20 were not expressed in these cells. However, some superficial cells appeared without connections to the basal lamina; these cells expressed uroplakins Ia, Ib, II and III and cytokeratin 20, they contained sparse small uroplakin-positive cytoplasmic vesicles and their apical surface showed both microvilli and ridges. Cytokeratin 20 was seen as dots in the cytoplasm. This epithelium therefore showed partial urothelial differentiation. The epithelium covering the outer band of the outer medulla gradually changed from a two-layered to a three-layered urothelium with typical umbrella cells that contained all four uroplakins. Cytokeratin 20 was organized into a complex network. The epithelium possessed an asymmetric unit membrane at the apical cell surface and fusiform vesicles. Umbrella cells were also observed in the ureter and urinary bladder. In males and females, the urothelium ended in the bladder neck and was continued by a non-keratinized stratified epithelium in the urethra in which no urothelial cell differentiation markers were detected. We thus show here the expression, distribution and organization of specific proteins associated with the various cell types in the urinary tract epithelium.W. Mello Jr. thanks FAPESP, São Paulo, Brazil for financial support.     

Tormogen cell and receptor-lymph space in insect olfactory sensilla

Summary (1) The basiconic sensilla on the antennae of Calliphora resemble other insect epidermal sensilla; one or several bipolar sense cells are surrounded by three non-neural cells. (2) The apical cell membrane of the tormogen cell(one of the three accessory cells) forms microvilli coated internally with particles. (3) In the (extracellular) outer receptor-lymph space hyaluronic acid can be demonstrated histochemically. (4) Demonstration of non-specific alkaline phosphatase, Mg²⁺-activated ATPase, and the presence of mitochondria in the apical part of the tormogen cell suggest active transport processes through these cells into the outer receptor-lymph space.Supported by the Deutsche Forschungsgemeinschaft     

A scanning electron microscope study of the extraembryonic endoderm of the 8th-day mouse embryo

Abstract. Late primitive streak embryos were dissected to reveal the junction between the visceral (VE) and parietal (PE) extraembryonic endoderm. Scanning electron microscopy showed that the two cell types differ markedly in their surface morphology and intercellular organization: the VE cells have numerous apical microvilli and form part of a continuous epithelial layer, while the smoother PE cells are scattered individually over the surface of Reichert's membrane. One interpretation of the morphology of the junction between the two tissues is that visceral endoderm cells in this region are detaching from the epithelial layer, migrating on to Reichert's membrane and differentiating into parietal endoderm. Preparatory to this, the visceral endoderm cells in the junctional zone may undergo extensive reorganization of their surface membranes.     

Structural and biochemical observations on specialized membranes of the "filter chamber", a water-shunting complex in sap-sucking homopteran insects

Many homopteran insects feed on plant sap which contains solutes in very low concentration. Their digestive tract presents a complex called the "filter chamber" where the excess dietary water is believed to flow directly from the initial part of the midgut to the terminal part of the midgut and the proximal regions of the Malpighian tubules. Freeze-fracture experiments carried out on the filter chamber of Cicadella viridis revealed the presence of intramembrane particles on the whole surface of the microvilli and of basal membrane infoldings of the cells. Examination of negatively stained isolated membranes and of freeze-dried shadowed membranes revealed that the inner surface of the membrane is covered with particles protruding into the cytoplasm; they correspond to the numerous intramembrane particles observed on the P fracture face of the membrane. The outer surface of the membrane exhibits a regular network which corresponds to that observed on the E fracture face. SDS-PAGE analyses were performed on purified membranes of the filter chambers of C. viridis and Philaenus spumarius. In both cases 2 major components, 25 kDa and 75 kDa, were detected. These 2 components appear to be specific for the filter chambers since they were not found in membranes isolated from the other parts of the midgut. Thus, the membranes of these filter chambers, thought to be water-shunting complexes, possess structural and biochemical peculiarities which are probably related to water permeability.     

Immunoelectron microscope localization of cytochrome P-450 on microsomes and other membrane structures of rat hepatocytes

Localization of cytochrome P-450 on various membrane fractions of rat liver cells was studied by direct immunoelectron microscopy using ferritin-conjugated antibody to the cytochrome. The outer surfaces of almost all the microsomal vesicles were labeled with ferritin particles. The distribution of the particles on each microsomal vesicle was usually heterogeneous, indicating clustering of the cytochrome, and phenobarbital treatment markedly increased the labeled regions of the microsomal membranes. The outer nuclear envelopes were also labeled with ferritin particles, while on the surface of other membrane structures such as Golgi complexes, outer mitochondrial membranes and plasma membranes the labeling was scanty and at the control level. The present observation indicates that cytochrome P-450 molecules are localized exclusively on endoplasmic reticulum membranes and outer nuclear envelopes where they are probably distributed not uniformly but heterogeneously, forming clusters or patches. The physiological significance of such microheterogeneity in the distribution of the cytochrome on endoplasmic reticulum membranes is discussed.     

A new stable epithelial cell line (RK-L) from normal rat kidney

Summary A stable epithelial cell line has been established from the kidneys of a normal Sprague-Dawley rat. This line, termed RK-L, has a high proliferative capacity (minimal doubling time 12.3 h) and can be grown in medium containing 1% fetal bovine serum. Thus far, the line has been carried through more than 60 serial passages. The RK-L cells were found to display similarities with kidney tubule cells. Using light microscopy, confluent cultures were seen as pavement-like monolayers forming domes, which are thought to result from transepithelial fluid transport. Electron microscopy revealed polarized cells that had microvilli on the apical surface, junction complexes in the apical part of the lateral cell membrane, and a basal lamina-like layer. Pinocytotic activity was indicated by infoldings of the apical plasma membrane and the formation of vesicles. The RK-L line should prove useful for investigations of kidney tubule transport mechanisms.     

The polarity of the proximal tubule cell in rat kidney. Different surface charges for the brush-border microvilli and plasma membranes from the basal infoldings

Two different membrane fractions were obtained from a brush-border fraction of rat kidney cortex by using their different electrical surface charges in preparative free-flow electrophoresis. One membrane fraction contained only morphologically intact microvilli and was characterized by a high specific activity of alkaline phosphatase. The other fraction morphologically resembled classical plasma membranes by possessing junctional complexes and a high Na-K-ATPase activity The contamination of the isolated membrane fractions by other cell organelles was extremely low These two fractions represent the apical (luminal) and the basal (interstitial) area of the renal proximal tubule cell membrane and clearly demonstrate the polarity of this cell.     

THE LOCALIZATION BY ELECTRON MICROSCOPY OF HELA CELL SURFACE ENZYMES SPLITTING ADENOSINE TRIPHOSPHATE

Cultures of normally proliferating Hela cells have been examined in thin sections by electron microscopy following glutaraldehyde fixation, staining in Wachstein and Meisel's adenosine triphosphate containing medium, postosmication, and embedding in an epoxy resin. The cells were stained in suspension in order to ensure uniform accessibility to reagents. Discrete localization of the enzyme reaction product (lead phosphate) was found at the plasma membranes of about half the cells, but nowhere else. It appeared in the form of an intensely electron-opaque deposit lying close against the outer surface of the cells and varying in amount from a chain of small particles to a dense band about 30 mµ in width. This opaque reaction product was present over microvilli when absent elsewhere on a cell, was heaviest where microvilli and processes were profuse, and was minimal or lacking where cell surfaces were smooth. These observations are discussed in relation to both the idea that surface enzyme activity varies with the physiological phase of individual cells in a population, and the problem of how such enzyme activity becomes manifest at a given site on a morphologically changing membrane system.     

The ultrastructure and histochemistry of the spermathecae of Tubifex tubifex (Annelida: Oligochaeta)

The wall of the spermathecal ampulla in Tubifex tubifex consists of epithelial, muscular and peritoneal layers. The epithelial surface contains closely microvilli while lateral and basal plasma membranes are extensively convoluted. Epithelial cytoplasm exhibits a vertical zonation of subcellular components. The distal zone contains filiform secretory particles which are orientated perpendicular to the apical surface; extrusion occurs by their fusion with the plasma membrane between the bases of neighbouring microvilli. Mitochondiral and Golgi zones, the latter containing the nucleus, subtend the distal zone. The basal zone, composed of vertical compartments formed by the folded plasma membrane, is rich in α-glycogen rosettes. The distal epithelium and lumen material contain neutral mucopolysaccharides and carboxylated acid mucopolysaccharides in conjunction with neutral protein. The ultrastructure of the spermathecal duct wall is comparable with that of the ampulla but is characterized by extremely long microvilli and a prominent musculature.     

Integument of the tapeworm scolex. 1. Freeze-fracture of the syncytial layer, microvilli and discoid bodies

The tegument of cestodes is the most important and structurally complex metabolic interface between these parasites and the hostile environment in which they reside. In spite of the complex metabolic, regulatory and immunological properties of this layer of syncytial cytoplasm, which are relatively well known, the detailed fine structural anatomy of the cestode tegument remains equivocal. The present study therefore reports the freeze-fracture morphology of the tapeworm (Hymenolepis diminuta) tegument. The most important features revealed by analysis of platinum replicas of freeze-fractured tapeworm scolex-neck tegument include: (a) presence of highly ordered linear and/or circumferentially-orientated rows of intramembrane particles situated on the PF fracture face of microvillar plasma membrane, which may participate in movements of the microvilli, (b) presence of apparent 'pores' (11 nm in diameter) at the tips of the tegumentary microvilli, which could serve as regulated gates through which extramicrovillar surface coating materials can be extruded, and (c) the alignment of cytoplasmic discoid bodies into positions at the bases of the surface microvilli such that they could move into the core of each microvillus and thereby release their contents for extrusion (via the pores) onto the outer surface of the microvilli. Concomitantly, the limiting membrane of the discoid bodies could be added to the tegument plasma membrane and thereby contribute to the rapid turnover of the tegumentary surface. This study provides the first detailed account of the ultrastructural anatomy of the tapeworm tegument and is intended to serve as a point of reference for future investigations of tapeworm tegumentary functions.     

Double membrane-bounded intestinal microvilli in Oncopeltus fasciatus

A double plasma membrane (DPM) surrounding intestinal microvilli of the migratory milkweed bug, Oncopeltus fasciatus, is described. Mutant and wild types of the phytophagous insect have been studied by conventional SEM and TEM procedures with the use of membrane-enhancing staining methods. Longitudinal and transverse sections revealed a DPM surrounding microvilli and continuing over the apical portions of the intestinal cell. The outer membrane of the DPM contributes to an intestinal lining or peritrophic membrane (PTM), which apparently accumulates in layers. SEM studies reveal a rugose intestinal surface and complete PTM in both starved and fed insects. Only rarely are exposed microvilli seen by SEM. SEM examinations also enable the observation of numerous blebs on the luminal side of the PTM apparently held in position by a neck-like attachment and apparently derived from the outer membrane of the DPM. Preliminary TEM studies of microvilli revealed unique microvesicle-like structures, lying just inside the inner membrane of the DPM, which may be of membrane origin based on their typical trilaminar appearance after en bloc staining with uranyl acetate. Highly ordered microfilaments were observed to occupy the most central aspect of the microvilli.     

Ultrastructure of lineus ruber (rhyncocoela) epidermis

Recent evidence indicates that nemertean epidermis is capable of absorbing certain organic solutes from sea water via mediated transport mechanisms, as well as secreting mucoid substances. Morphological studies suggest that these functions may be restricted to distinct epidermal cell populations.Mucous secretion at the free surface of the epidermis is the result of synthesis and release activities of cells in both the epidermis and dermis (cutis). Secretion of dermal origin passes through the epidermis to the worm's exterior in slender cytoplasmic processes (canaux d'evacuation) in the form of membrane bound vesicles. A single gland cell type, located entirely within the epidermis, releases externally a granular product histochemically identified as largely protein plus some amount of carbohydrate with low periodic acid-Schiff's reactivity. The close juxtaposition of granular endoplasmic reticulum and Golgi apparati to the secretory material is consistent with the composition of this secretory product.Interstitial cells possess microvilli projecting from their apical surface, in addition to cilia. The outer surface of the plasmalemma covering these ciliary projections is unadorned, but microvilli possess a fuzzy coat. At the peripheral ends of the microvilli, the coat is filamentous, while at their base the coat consists of foliate structures. Cationic colloidal iron binding suggest that the filamentous portion of the fuzzy coat contains the greatest proportion of the acidic surface charge. The presence of periodic acid-Schiff's positive material in this region suggests that the fuzzy coat also contains carbohydrate. Lateral boundaries of the interstitial cell lacks obvious junctional specializations; however, the apical 150 nm intracellular space narrows to 40 nm and continues in a tortuous interdigitating path to the base of the adjacent interstitial cells. Where the apex of these cells is broad, the interdigitations are shallow, but the basal half of the interstitial cells have deep complex infoldings. Cytoplasmic organelles other than the nucleus, mitochondria and some granular endoplasmic reticulum, are restricted to the apical half of the cytoplasm. The presence of closely apposed Golgi complexes and smooth endoplasmic reticulum, multivesicular bodies, lysosome-like dense vesicles and coated vesicles suggests that these cells may play a role in intracellular digestion of phagocytized paniculate matter from the external environment. The amplification of the interstitial cell's free surface suggests that these cells are primarily responsible for mediated solute transport across the epidermis.     

Morphology of rabbit collecting duct.

Recently the assumed structural and functional homogeneity of the collecting duct (CD) has been questioned. The objective of this study was to determine if heterogeneity occurs in luminal surface membrane structure or in cytoplasmic configuration of cells in the collecting duct or both. Straight segments of cortical and medullary CD were examined in perfusion-fixed rabbit kidneys with scanning electron microscopy (SEM), light (LM) and transmission electron microscopy (TEM). Principal cells were the most abundant cells in all CD regions; intercalated cells comprised 37% of the cell population on the cortex, 18% in the outer medulla, and less than 1% in the inner medulla. SEM revealed two surface patterns among the ciliated principal cells: 1, located in the cortex and outer medulla, with few surface microvilli, and 2, located in the inner medulla, with abundant microvilli. Intercalated cells exhibited four distinctive luminal surface configurations: I, numerous short microvilli; II, both short and elongate microvilli; III, microplicae alone; and IV, both microvilli and microplicae. Intercalated cells with patterns I and II were predominant in the cortex, while cells with patterns III and IV were most common at the corticomedullary junction. TEM confirmed that marked variation existed in cytoplasmic structures of both principal and intercalated cells. These findings may either indicate the presence of several specific types of principal and intercalated cells or reflect different functional states of the principal and intercalated cells. Regardless of their significance, their presence must be considered in studies seeking to establish precise structural-functional relationships in this region of the rabbit renal tubule.     

Distribution of Intramembrane Particles and Its Changes during the Acrosome Reaction in Spermatozoa of the Japanese Abalone

The distribution of intramembrane particles in the plasma and acrosomal membranes of sperm of the Japanese abalone, Haliotis discus , and its changes during the acrosome reaction were studied by the freeze-fracture replica technique. The P face of the plasma membrane covering the acrosome has sparse membrane particles except in the apical region, which includes the trigger and 'truncated cone' regions. Large particles with an average diameter of 10 nm are located in this apical region. The E face of the plasma membrane has only a few particles. On the outer acrosomal membrane, many particles are randomly distributed throughout the P face, but only a small number of particles are found on the E face. Numerous particles on the P face of the inner acrosomal membrane show a regular arrangement as a dense lattice or with a concentric circular pattern. The initial change in the acrosome reaction is clearance of membrane particles from both the P and E faces of the plasma and outer acrosomal membranes around the apical region, where fusion of the two membranes occurs. As the acrosomal process elongates, the dense arrangement of particles on the inner acrosomal membrane changes via a loose lattice arrangement to a patchy distribution with particle-free areas. Then the arrangement is further disorganized becoming a sparse, random distribution.