Expression of neuromuscular junction messenger RNAs and protein in aged rats

The loss of skeletal muscle mass is believed to be the dominant reason for reduced strength in aging humans. The purpose of this investigation was to gain some information as to why skeletal muscles lose mass as we age. Since nervous system innervation is essential for skeletal muscle fiber viability, incomplete regional reinnervation during normal synaptic junction turnover has been hypothesized to result in selective muscle fiber loss. Examined here was the age-related association in skeletal muscle between atrophy and the expression of mRNAs encoding the γ- and ϵ-subunits of the nicotinic acetylcholine receptor, myogenin, and muscle specific receptor kinase (MuSK). Gastrocnemius and biceps brachii muscles were collected from young (2 month), adult (18 month), and old (31 month) Fischer 344 cross brown Norway F 1 male rats. In the gastrocnemius, muscles of old vs. young and adult rats, lower muscle mass was accompanied by significantly elevated acetylcholine receptor γ-subunit, myogenin, and MuSK mRNA levels. In contrast, the biceps brachii muscle in the same animals exhibited neither atrophy nor a change in acetylcholine receptor γ-subunit, myogenin, or MuSK mRNA levels. Expression of the acetylcholine receptor ϵ-subunit mRNA did not change with age in either gastrocnemius or biceps brachii muscles. Since acetylcholine receptor γ-subunit, myogenin, and MuSK mRNA levels are upregulated in surgically denervated skeletal muscles of young rats while expression of the acetylcholine receptor ϵ-subunit does not change, the findings of the current investigation suggest that a select fiber population within atrophied skeletal muscles of old rats may be in a denervated-like state. I speculate that increases in γ-subunit, myogenin, and MuSK mRNA levels in atrophied muscles of old rats are compensatory responses to nerve terminal retraction. Indeed, a prolongation of denervation in these muscle fibers would subsequently result in their atrophy and death, ultimately leading to a decline in the number of force generating elements present in the muscle. ^

FUNCTIONS OF DEADENYLATION FACTORS IN MRNA DECAY AND MRNA PROCESSING BODY FORMATION

Most newly synthesized messenger RNAs possess a 5’ cap and a 3’ poly(A) tail. The process of poly(A) tail shortening, also termed deadenylation, is important for post-transcriptional gene regulation, because deadenylation not only leads to mRNA translational inhibition but also is the first step of major mRNA degradation. Translationally inhibited mRNAs can be stored and/or degraded in dynamic cytoplasmic foci termed mRNA processing bodies, or P bodies, which are conserved in eukaryotes. To shed new light on the mechanisms of P body formation and P body functions, I focused on the link between deadenylation factors and P bodies. I found that the two major deadenylation complexes, Pan3-Pan2 and Ccr4-Caf1, can both be enriched in P bodies. The deadenylase activity of the Ccr4-Caf1 complex is prerequisite for P body formation. Pan3, but not the deadenylase Pan2, is essential for P body formation. While the C-terminal domain of Pan3 is important for interaction with Pan2, Pan3 N-terminal domain is important for Pan3 to form cytoplasmic foci colocalizing with P bodies and to promote mRNA decay. Interestingly, Pan3 N-terminal domain may be phosphorylated to regulate Pan3 localization and functions. Aside from the functions of the two deadenylation complexes in P bodies, I also studied all reported human P body proteins as a whole using bioinformatics. This effort not only has generated a comprehensive picture of the functions of and interactions among human P body proteins, but also has predicted proteins that may regulate P body formation and/or functions. In summary, my study has established a direct link between mRNA deadenylation and P body formation and has also led to new hypotheses to guide future research on how P body dynamics are controlled.

Molecular studies of human high grade B cell non -Hodgkin's lymphomas

The non-Hodgkin's B cell lymphomas are a diverse group of neoplastic diseases. The incidence rate of the malignant tumors has been rising rapidly over the past twenty years in the United States and worldwide. The lack of insight to pathogenesis of the disease poses a significant problem in the early detection and effective treatment of the human malignancies. These studies attempted to investigate the molecular basis of pathogenesis of the human high grade B cell non-Hodgkin's lymphomas with a reverse genetic approach. The specific objective was to clone gene(s) which may play roles in development and progression of human high grade B cell non-Hodgkin's lymphomas.^ The messenger RNAs from two high grade B cell lymphoma lines, CJ and RR, were used for construction of cDNA libraries. Differential screening of the derived cDNA libraries yielded a 1.4 kb cDNA clone. The gene, designated as NHL-B1.4, was shown to be highly amplified and over-expressed in the high grade B cell lymphoma lines. It was not expressed in the peripheral blood lymphoid cells from normal donors. However, it was inducible in peripheral blood T lymphocytes by a T cell mitogen, PHA, but could not be activated in normal B cells by B cell mitogen PMA. Further molecular characterization revealed that the gene may have been rearranged in the RR and some other B cell lymphoma lines. The coding capacity of the cDNA has been confirmed by a rabbit reticulocyte lysate and wheat germ protein synthesis system. A recombinant protein with a molecular weight of approximate 30 kDa was visualized in autoradiogram. Polyclonal antisera have been generated by immunization of two rabbits with the NHL-B1.4 recombinant protein produced in the E. coli JM109. The derived antibody can recognize a natural protein with molecular weight of 49 kDa in cell lysate of activated peripheral T lymphocytes of normal donors and both the cell lysate and supernatant of RR B cell lymphoma lines. The possible biologic functions of the molecule has been tested preliminarily in a B lymphocyte proliferation assay. It was found that the Q-sepharose chromatograph purified supernatant of COS cell transfection could increase tritiated thymidine uptake by B lymphocytes but not by T lymphocytes. The B cell stimulatory activity of the supernatant of COS cell tranfection could be neutralized by the polyclonal antisera, indicating that the NHL-B1.4 gene product may be a molecule with BCGF-like activity.^ The expression profiles of NHL-B1.4 in normal and neoplastic lymphoid cells were consistent with the current B lymphocyte activation model and autocrine hypothesis of high grade B cell lymphomagenesis. These results suggested that the NHL-B1.4 cDNA may be a disease-related gene of human high grade B cell lymphomas, which may codes for a postulated B cell autocrine growth factor. ^

THE DOMAINS OF THE CATALYTIC SUBUNIT OF THE EUKARYOTIC RNA DEGRADING EXOSOME, RRP44P, HAVE DISTINCT FUNCTIONS

The exosome is a 3’ to 5’ exoribonuclease complex that consists of ten essential subunits. In the cytoplasm, the exosome degrades mRNA in a general mRNA turnover pathway and in several mRNA surveillance pathways. In the nucleus, the exosome processes RNA precursors to form small, stable, mature RNA species, including rRNA, snRNA, and snoRNA. In addition to processing these RNAs, the nuclear exosome is also involved in degrading aberrantly processed forms of these RNAs, and others, including mRNA. The 3’ to 5’ exoribonuclease activity of the exosome is contributed by the RNB domain of the only catalytically active subunit, Rrp44p, a member of the RNase II family of enzymes. In addition to the RNB domain, Rrp44p consists of three putative RNA binding domains and has an uncharacterized N-terminus, which includes a CR3 region and PIN domain. In an effort to characterize the cellular functions of the domains of Rrp44p, this study identified a second nuclease active site in the PIN domain. Specifically, the PIN domain exhibits endoribonuclease activity in vitro and is essential for exosome function. Further analysis of the nuclease activities of Rrp44p indicate a role for the exoribonuclease activity of Rrp44p in the cytoplasmic and nuclear exosome. This work has also characterized the CR3 region of Rrp44p, a region that has not yet been characterized in any other protein. This region is needed for the majority, if not all, of the cytoplasmic exosome functions as well as for interaction with the exosome. The CR3 region, along with a histidine residue in the N-terminus of Rrp44p, may coordinate a zinc atom. Preliminary evidence supports a role for this coordination in exosome function. Further investigation, however, is needed to determine the molecular dependence of the exosome on the CR3 region of Rrp44p. Despite its initial discovery thirteen years ago, the essential function of Rrp44p, and the exosome, is not yet known. The studies presented here, however, indicate that the essential function of Rrp44p and the exosome is in the nucleus and depends on the nuclease activities of Rrp44p.

Sp1 trans-activates the murine H(+)-K(+)-ATPase alpha(2)-subunit gene.

The H(+)-K(+)-ATPase alpha(2) (HKalpha2) gene of the renal collecting duct and distal colon plays a central role in potassium and acid-base homeostasis, yet its transcriptional control remains poorly characterized. We previously demonstrated that the proximal 177 bp of its 5'-flanking region confers basal transcriptional activity in murine inner medullary collecting duct (mIMCD3) cells and that NF-kappaB and CREB-1 bind this region to alter transcription. In the present study, we sought to determine whether the -144/-135 Sp element influences basal HKalpha2 gene transcription in these cells. Electrophoretic mobility shift and supershift assays using probes for -154/-127 revealed Sp1-containing DNA-protein complexes in nuclear extracts of mIMCD3 cells. Chromatin immunoprecipitation (ChIP) assays demonstrated that Sp1, but not Sp3, binds to this promoter region of the HKalpha2 gene in mIMCD3 cells in vivo. HKalpha2 minimal promoter-luciferase constructs with point mutations in the -144/-135 Sp element exhibited much lower activity than the wild-type promoter in transient transfection assays. Overexpression of Sp1, but not Sp3, trans-activated an HKalpha2 proximal promoter-luciferase construct in mIMCD3 cells as well as in SL2 insect cells, which lack Sp factors. Conversely, small interfering RNA knockdown of Sp1 inhibited endogenous HKalpha2 mRNA expression, and binding of Sp1 to chromatin associated with the proximal HKalpha2 promoter without altering the binding or regulatory influence of NF-kappaB p65 or CREB-1 on the proximal HKalpha2 promoter. We conclude that Sp1 plays an important and positive role in controlling basal HKalpha2 gene expression in mIMCD3 cells in vivo and in vitro.

Ca++/calmodulin-dependent protein kinase II: Messenger RNA in developing rat brain

Ca$\sp{++}$/calmodulin-dependent protein kinase II (CaM-KII) is highly concentrated in mammalian brain, comprising as much as 2% of the total protein in some regions. In forebrain, CaM-KII has been shown to be enriched in postsynaptic structures where it has been implicated in maintaining cytoskeletal structure, and more recently in signal transduction mechanisms and processes underlying learning and memory. CaM-KII appears to exist as a holoenzyme composed of two related yet distinct subunits, alpha and beta. The ratio of the subunits in the holoenzyme varies with different brain regions and to some degree with subcellular fractions. The two subunits also display distinct developmental profiles. Levels of alpha subunit are not evident at birth but increase dramatically during postnatal development, while levels of beta subunit are readily detected at birth and only gradual increase postnatally. The distinct regional, subcellular and developmental distribution of the two subunits of CaM-KII have prompted us to examine factors involved in regulating the synthesis of the subunit proteins.^ This dissertation addresses the regional and developmental expression of the mRNAs for the individual subunits using in situ hybridization histochemistry and northern slot-blot analysis. By comparing the developmental profile of each mRNA with that of its respective protein, we have determined that initiation of gene transcription is likely the primary site for regulating CaM-KII protein levels. Furthermore, the distinct cytoarchitecture of the hippocampus has allowed us to demonstrate that the alpha, but not beta subunit mRNA is localized in dendrites of certain forebrain neurons. The localization of alpha subunit mRNA at postsynaptic structures, in concert with the accumulation of subunit protein, suggests that dendritic synthesis of CaM-KII alpha subunit may be important for maintaining postsynaptic structure and/or function. ^

The role of specific regions of ribosomal RNAs in translation termination

The ribosome is a molecular machine that produces proteins in a cell. It consists of RNAs (rRNAs) and proteins. The rRNAs have been implicated in various aspects of protein biosynthesis supporting the idea that they function directly in translation. In this study the direct involvement of rRNA in translation termination was hypothesized and both genetic and biochemical strategies were designed to test this hypothesis. As a result, several regions of rRNAs from both ribosomal subunits were implicated in termination. More specifically, the mutation G1093A in an RNA of the large subunit (23S rRNA) and the mutation C1054A in the small subunit RNA (16S rRNA) of the Escherichia coli ribosome, were shown to affect the binding of the proteins that drive termination, RF1 and RF2. These mutations also caused defects in catalysis of peptidyl-tRNA hydrolysis, the last step of termination. Furthermore, the mutations affected the function of RF2 to a greater extent than that of RF1, a striking result considering the similarity of the RFs. The major defect in RF2 function was consistent with in vivo characteristics of the mutants and can be explained by the inability of the mutant rRNA sites to activate the hydrolytic center, that is the catalytic site for peptidyl-tRNA hydrolysis. Consistent with this explanation is the possibility of a direct interaction between the G1093-region (domain II of 23S rRNA) and the hydrolytic center (most likely domains IV–VI of 23S rRNA). To test that interaction hypothesis selections were performed for mutations in domains IV–VI that compensated for the growth defects caused by G1093A. Several compensatory mutations were isolated which not only restored growth in the presence of G1093A but also appeared to compensate for the termination defects caused by the G1093A. Therefore these results provided genetic evidence for an intramolecular interaction that might lead to peptidyl-tRNA hydrolysis. Finally, a new approach to the study of rRNA involvement in termination was designed. By screening a library of rRNA fragments, a fragment of the 23S rRNA (nt 74-136) was identified that caused readthrough of UGA. The antisense RNA fragment produced a similar effect. The data implicated the corresponding segment of intact 23S rRNA in termination. ^

Structure-function analysis of human Integrator subunit-4

Structure-function analysis of human Integrator subunit 4 Anupama Sataluri Advisor: Eric. J. Wagner, Ph.D. Uridine-rich small nuclear RNAs (U snRNA) are RNA Polymerase-II (RNAPII) transcripts that are ubiquitously expressed and are known to be essential for gene expression. snRNAs play a key role in mRNA splicing and in histone mRNA expression. Inaccurate snRNA biosynthesis can lead to diseases related to defective splicing and histone mRNA expression. Although the 3′ end formation mechanism and processing machinery of other RNAPII transcripts such as mRNA has been well studied, the mechanism of snRNA 3′ end processing has remained a mystery until the recent discovery of the machinery that mediates this process. In 2005, a complex of 14 subunits (the Integrator complex) associated with RNA Polymerase-II was discovered. The 14subunits were annotated Integrator 1-14 based on their size. The subunits of this complex together were found to facilitate 3′ end processing of snRNA. Identification of the Integrator complex propelled research in the direction of understanding the events of snRNA 3’end processing. Recent studies from our lab confirmed that Integrator subunit (IntS) 9 and 11 together perform the endonucleolytic cleavage of the nascent snRNA 3′ end to generate mature snRNA. However, the role of other members of the Integrator complex remains elusive. Current research in our lab is focused on deciphering the role of each subunit within the Integrator complex This work specifically focuses on elucidating the role of human Integrator subunit 4 (IntS4) and understanding how it facilitates the overall function of the complex. IntS4 has structural similarity with a protein called “Symplekin”, which is part of the mRNA 3’end processing machinery. Symplekin has been thoroughly researched in recent years and structure-function correlation studies in the context of mRNA 3’end processing have reported a scaffold function for Symplekin due to the presence of HEAT repeat motifs in its N-terminus. Based upon the structural similarity between IntS4 and Symplekin, we hypothesized that Integrator subunit 4 may be behaving as a Symplekin-like scaffold molecule that facilitates the interaction between other members of the Integrator Complex. To answer this question, the two important goals of this study were to: 1) identify the region of IntS4, which is important for snRNA 3′ end processing and 2) determine binding partners of IntS4 which promote its function as a scaffold. IntS4 structurally consists of a highly conserved N-terminus with 8 HEAT repeats, followed by a nonconserved C- terminus. A series of siRNA resistant N and C-terminus deletion constructs as well as specific point mutants within its N-terminal HEAT repeats were generated for human IntS4 and, utilizing a snRNA transcriptional readthrough GFP-reporter assay, we tested their ability to rescue misprocessing. This assay revealed a possible scaffold like property of IntS4. To probe IntS4 for interaction partners, we performed co-immunoprecipitation on nuclear extracts of IntS4 expressing stable cell lines and identified IntS3 and IntS5 among other Integrator subunits to be binding partners which facilitate the scaffold like function of hIntS4. These findings have established a critical role for IntS4 in snRNA 3′ end processing, identified that both its N and C termini are essential for its function, and mapped putative interaction domains with other Integrator subunits.

COP 9 SIGNALOSOME SUBUNIT 6 STABILIZES COP1, A NOVEL E3 UBIQUITIN LIGASE FOR 14-3-3σ

14-3-3σ, a gene upregulated by p53 in response to DNA damage, exists as part of a positive-feedback loop which activates p53 and is a human cancer epithelial marker downregulated in various cancer types. 14-3-3σ levels are critical for maintaining p53 activity in response to DNA damage and regulating signal mediator such as Akt. Here, we identify Mammalian Constitutive Photomorphogenic 1 (COP1) as a novel E3 ubiquitin ligase for targeting 14-3-3σ through proteasome degradation. We show for the first time that COP9 signalosome subunit 6 (CSN6) associates with COP1 and is involved in 14-3-3σ ubiquitin-mediated degradation. Mechanistic studies show that CSN6 expression leads to stabilization of COP1 through reducing COP1 self-ubiquitination and decelerating COP1’s turnover rate. We also show that CSN6-mediated 14-3-3σ ubiquitination is compromised when COP1 is knocked down. Thus, CSN6 mediates 14-3-3σ ubiquitination through enhancing COP1 stability. Subsequently, we show that CSN6 causes 14-3-3σ downregulation, thereby activating Akt and promoting cell survival by suppressing FOXO, an Akt target, transcriptional activity. Also, CSN6 overexpression leads to increased cell growth, transformation and promotes tumorigenicity. Significantly, 14-3-3σ expression can correct the abnormalities mediated by CSN6 expression. These data suggest that the CSN6-COP1 axis is involved in 14-3-3σ degradation, and that deregulation of this axis will promote cell growth and tumorigenicity.

Rubisco in complex with Rubisco large subunit methyltransferase.

SET domain protein lysine methyltransferases (PKMT) are a structurally unique class of enzymes that catalyze the specific methylation of lysine residues in a number of different substrates. Especially histone-specific SET domain PKMTs have received widespread attention because of their roles in the regulation of epigenetic gene expression and the development of some cancers. Rubisco large subunit methyltransferase (RLSMT) is a chloroplast-localized SET domain PKMT responsible for the formation of trimethyl-lysine-14 in the large subunit of Rubisco, an essential photosynthetic enzyme. Here, we have used cryoelectron microscopy to produce an 11-A density map of the Rubisco-RLSMT complex. The atomic model of the complex, obtained by fitting crystal structures of Rubisco and RLSMT into the density map, shows that the extensive contact regions between the 2 proteins are mainly mediated by hydrophobic residues and leucine-rich repeats. It further provides insights into potential conformational changes that may occur during substrate binding and catalysis. This study presents the first structural analysis of a SET domain PKMT in complex with its intact polypeptide substrate.

Messenger RNA half-life measurements in mammalian cells.

The recognition of the importance of mRNA turnover in regulating eukaryotic gene expression has mandated the development of reliable, rigorous, and "user-friendly" methods to accurately measure changes in mRNA stability in mammalian cells. Frequently, mRNA stability is studied indirectly by analyzing the steady-state level of mRNA in the cytoplasm; in this case, changes in mRNA abundance are assumed to reflect only mRNA degradation, an assumption that is not always correct. Although direct measurements of mRNA decay rate can be performed with kinetic labeling techniques and transcriptional inhibitors, these techniques often introduce significant changes in cell physiology. Furthermore, many critical mechanistic issues as to deadenylation kinetics, decay intermediates, and precursor-product relationships cannot be readily addressed by these methods. In light of these concerns, we have previously reported transcriptional pulsing methods based on the c-fos serum-inducible promoter and the tetracycline-regulated (Tet-off) promoter systems to better explain mechanisms of mRNA turnover in mammalian cells. In this chapter, we describe and discuss in detail different protocols that use these two transcriptional pulsing methods. The information described here also provides guidelines to help develop optimal protocols for studying mammalian mRNA turnover in different cell types under a wide range of physiologic conditions.

A Cell Biological Determination of Integrator Subunit Localization

Uridine-rich small nuclear (U snRNAs), with the exception of the U6 snRNA, are RNA polymerase II (RNAPII) transcripts. The mechanism of 3’ cleavage of snRNAs has been unknown until recently. This area was greatly advanced when 12 of the Integrator complex subunits (IntS) were purified in 2005 through their interaction with the C-terminal domain (CTD) of the large subunit (RpbI) of RNAPII. Subsequently, our lab performed a genome-wide RNAi screen that identified two more members of the complex that we have termed IntS13 and IntS14. We have determined that IntS9 and 11 mediate the 3’ cleavage of snRNAs, but the exact function of the other subunits remains unknown. However, through the use of a U7 snRNA-GFP reporter and RNAi knockdown of the Integrator subunits in Drosophila S2 cells, we have shown that all subunits are required for the proper processing of snRNAs, albeit to differing degrees. Because snRNA transcription takes place in the nucleus of the cell, it is expected that all of the Integrator subunits would exhibit nuclear localization, but the knowledge of discrete subnuclear localization (i.e. to Cajal bodies) of any of the subunits could provide important clues to the function of that subunit. In this study, we used a cell biological approach to determine the localization of the 14 Integrator subunits. We hypothesized that the majority of the subunits would be nuclear, however, a few would display distinct localization to the Cajal bodies, as this is where snRNA genes are localized and transcribed. The specific aims and results are: 1. To determine the subcellular localization of the 14 Integrator subunits. To accomplish this, mCherry and GFP tagged clones were generated for each of the 14 Drosophila and human Integrator subunits. Confocal microscopy studies revealed that the majority of the subunits were diffuse in the nucleus, however, IntS3 formed discrete subnuclear foci. Surprisingly, two of the subunits, IntS2 and 7 were observed in cytoplasmic foci. 2. To further characterize Integrator subunits with unique subcellular localizations. Colocalization studies with endogenous IntS3 and Cajal body marker, coilin, showed that these two proteins overlap, and from this we concluded that IntS3 localized to Cajal bodies. Additionally, colocalization studies with mCherry-tagged IntS2 and 7 and the P body marker, Dcp1, revealed that these proteins colocalize as well. IntS7, however, is more stable in cytoplasmic foci than Dcp1. It was also shown through RNAi knockdown of Integrator subunits, that the cytoplasmic localization of IntS2 and 7 is dependent on the expression of IntS1 and 11 in S2 cells.

GLUCAGON GENE EXPRESSION: ANALYSIS OF PREPROGLUCAGON

Glucagon is a 29 amino acid polypeptide hormone produced in the (alpha) cells of the pancreatic islets. The purpose of this research was to understand better the role of glucagon in the regulation of metabolic processes. As with other polypeptide hormones, the synthesis of glucagon is thought to involve a larger precursor, which is then enzymatically cleaved to the functional form. The specific research objectives were to obtain cloned copies of the messenger RNA (mRNA) for pancreatic glucagon, to determine their primary sequences, and from this coding information to deduce the amino acid sequence of the initial glucagon precursor. From this suggested preproglucagon sequence and prior information on possible proglucagon intermediate processing products, the overall objective of this research is to propose a possible pathway for the biosynthesis of pancreatic glucagon.^ Synthetic oligodeoxynucleotide probes of 14-nucleotides (14-mer) and 17-nucleotides (a 17-mer) complementary to codons specifying a unique sequence of mature glucagon were synthesized. The ('32)P-labeled-14-mer was hybridized with size-fractionated fetal bovine pancreatic poly(A('+))RNA bound to nitrocellulose. RNA fractions of (TURN)14S were found to hybridize specifically, resulting in an (TURN)10-fold enrichment for these sequences. These poly(A('+))RNAs were translated in a cell-free system and the products analyzed by gel electrophoresis. The translation products were found to be enriched for a protein of the putative size of mammalian preproglucagon ((TURN)21 kd). These enriched RNA fractions were used to construct a complementary DNA (cDNA) library is plasmid pBR322.^ Screening of duplicate colony filters with the ('32)P-labeled-17-mer and a ('32)P-labeled-17-mer-primed cDNA probe indicated 25 possible glucagon clones from 3100 colonies screened. Restriction mapping of 6 of these clones suggested that they represented a single mRNA species. Primary sequence analysis of one clone containing a 1200 base pair DNA insert revealed that it contained essentially a full-length copy of glucagon cDNA.^ Analaysis of the cDNA suggested that it encoded an initial translation product of 180 amino acids with an M(,r) = 21 kd. The first initiation codon (ATG, methionine) followed by the longest open reading frame of 540 nucleotides was preceded by a 5'-untranslated region of 90 nucleotides, and was followed by a longer 3'-untranslated region of 471 nucleotides, resulting in a total of 1101 nucleotides. . . . (Author's abstract exceeds stipulated maximum length. Discontinued here with permission of author.) UMI ^