In Rats by LH-RH Antagonist Cetrorelix (Suppression of Pituitary-Gonadal Axis/Binding Characteristics/In Vitro Desaturation) GABOR HALMOS*T, ANDREW V
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On Uniformity Within NC
On Uniformity Within NC David A Mix Barrington Neil Immerman HowardStraubing University of Massachusetts University of Massachusetts Boston Col lege Journal of Computer and System Science Abstract In order to study circuit complexity classes within NC in a uniform setting we need a uniformity condition which is more restrictive than those in common use Twosuch conditions stricter than NC uniformity RuCo have app eared in recent research Immermans families of circuits dened by rstorder formulas ImaImb and a unifor mity corresp onding to Buss deterministic logtime reductions Bu We show that these two notions are equivalent leading to a natural notion of uniformity for lowlevel circuit complexity classes Weshow that recent results on the structure of NC Ba still hold true in this very uniform setting Finallyweinvestigate a parallel notion of uniformity still more restrictive based on the regular languages Here we givecharacterizations of sub classes of the regular languages based on their logical expressibility extending recentwork of Straubing Therien and Thomas STT A preliminary version of this work app eared as BIS Intro duction Circuit Complexity Computer scientists have long tried to classify problems dened as Bo olean predicates or functions by the size or depth of Bo olean circuits needed to solve them This eort has Former name David A Barrington Supp orted by NSF grant CCR Mailing address Dept of Computer and Information Science U of Mass Amherst MA USA Supp orted by NSF grants DCR and CCR Mailing address Dept of -
LHRH) Antagonist Cetrorelix and LHRH Agonist Triptorelin on the Gene Expression of Pituitary LHRH Receptors in Rats
Comparison of mechanisms of action of luteinizing hormone-releasing hormone (LHRH) antagonist cetrorelix and LHRH agonist triptorelin on the gene expression of pituitary LHRH receptors in rats Magdolna Kovacs*†‡ and Andrew V. Schally*†§ *Endocrine, Polypeptide, and Cancer Institute, Veterans Affairs Medical Center, New Orleans, LA 70112; and †Section of Experimental Medicine, Department of Medicine, Tulane University School of Medicine, New Orleans, LA 70112 Contributed by Andrew V. Schally, August 21, 2001 The mechanisms through which luteinizing hormone (LH)-releasing however, are different. LHRH agonists achieve the inhibition of hormone (LHRH) antagonists suppress pituitary gonadotroph func- gonadotropin secretion after a period of continuous exposure (1, tions and LHRH-receptor (LHRH-R) expression are incompletely un- 2, 11–14). In contrast, antagonists of LHRH produce a compet- derstood. Consequently, we investigated the direct effect of LHRH itive blockade of LHRH-R and cause an immediate cessation of antagonist cetrorelix in vitro on the expression of the pituitary the release of gonadotropins and sex steroids, reducing the time LHRH-R gene and its ability to counteract the exogenous LHRH and of the onset of therapeutic effects as compared with the agonists the agonist triptorelin in the regulation of this gene. We also com- (1, 2, 15–17). LHRH agonists such as triptorelin, leuprolide, pared the effects of chronic administration of cetrorelix and triptore- buserelin, or goserelin (1, 2, 14) have been used worldwide for lin on the LHRH-R mRNA level and gonadotropin secretion in ovari- nearly two decades, but LHRH antagonists such as cetrorelix, ectomized (OVX) and normal female rats. The exposure of pituitary ganirelix, and Abarelix have been introduced into the clinical cells in vitro to 3-min pulses of 1 nM LHRH or 0.1 nM triptorelin for 5 h practice relatively recently (1, 2, 15, 16). -
Two-Way Automata Characterizations of L/Poly Versus NL
Two-way automata characterizations of L/poly versus NL Christos A. Kapoutsis1;? and Giovanni Pighizzini2 1 LIAFA, Universit´eParis VII, France 2 DICo, Universit`adegli Studi di Milano, Italia Abstract. Let L/poly and NL be the standard complexity classes, of languages recognizable in logarithmic space by Turing machines which are deterministic with polynomially-long advice and nondeterministic without advice, respectively. We recast the question whether L/poly ⊇ NL in terms of deterministic and nondeterministic two-way finite automata (2dfas and 2nfas). We prove it equivalent to the question whether every s-state unary 2nfa has an equivalent poly(s)-state 2dfa, or whether a poly(h)-state 2dfa can check accessibility in h-vertex graphs (even under unary encoding) or check two-way liveness in h-tall, h-column graphs. This complements two recent improvements of an old theorem of Berman and Lingas. On the way, we introduce new types of reductions between regular languages (even unary ones), use them to prove the completeness of specific languages for two-way nondeterministic polynomial size, and propose a purely combinatorial conjecture that implies L/poly + NL. 1 Introduction A prominent open question in complexity theory asks whether nondeterminism is essential in logarithmic-space Turing machines. Formally, this is the question whether L = NL, for L and NL the standard classes of languages recognizable by logarithmic-space deterministic and nondeterministic Turing machines. In the late 70's, Berman and Lingas [1] connected this question to the comparison between deterministic and nondeterministic two-way finite automata (2dfas and 2nfas), proving that if L = NL, then for every s-state σ-symbol 2nfa there is a poly(sσ)-state 2dfa which agrees with it on all inputs of length ≤ s. -
The Boolean Formula Value Problem Is in ALOGTIME (Preliminary Version)
The Boolean formula value problem is in ALOGTIME (Preliminary Version) Samuel R. Buss¤ Department of Mathematics University of California, Berkeley January 1987 Abstract The Boolean formula value problem is in alternating log time and, more generally, parenthesis context-free languages are in alternating log time. The evaluation of reverse Polish notation Boolean formulas is also in alternating log time. These results are optimal since the Boolean formula value problem is complete for alternating log time under deterministic log time reductions. Consequently, it is also complete for alternating log time under AC0 reductions. 1. Introduction The Boolean formula value problem is to determine the truth value of a variable-free Boolean formula, or equivalently, to recognize the true Boolean sentences. N. Lynch [11] gave log space algorithms for the Boolean formula value problem and for the more general problem of recognizing a parenthesis context-free grammar. This paper shows that these problems have alternating log time algorithms. This answers the question of Cook [5] of whether the Boolean formula value problem is log space complete | it is not, unless log space and alternating log time are identical. Our results are optimal since, for an appropriately de¯ned notion of log time reductions, the Boolean formula value problem is complete for alternating log time under deterministic log time reductions; consequently, it is also complete for alternating log time under AC0 reductions. It follows that the Boolean formula value problem is not in the log time hierarchy. There are two reasons why the Boolean formula value problem is interesting. First, a Boolean (or propositional) formula is a very fundamental concept ¤Supported in part by an NSF postdoctoral fellowship. -
Recent Development of Non-Peptide Gnrh Antagonists
Review Recent Development of Non-Peptide GnRH Antagonists Feng-Ling Tukun 1, Dag Erlend Olberg 1,2, Patrick J. Riss 2,3,4, Ira Haraldsen 4, Anita Kaass 5 and Jo Klaveness 1,* 1 School of Pharmacy, University of Oslo, 0316 Oslo, Norway; [email protected] (F.-L.T.); [email protected] (D.E.O.) 2 Norsk Medisinsk Syklotronsenter AS, Postboks 4950 Nydalen, 0424 Oslo, Norway; [email protected] 3 Realomics SFI, Department of Chemistry, University of Oslo, 0316 Oslo, Norway 4 Department of neuropsychiatry and psychosomatic medicine, Oslo University Hospital, 4950 Oslo, Norway; [email protected] 5 Betanien Hospital, 3722 Skien, Norway; [email protected] * Correspondence: [email protected]; Tel.: +47-9177-6204 Received: 16 November 2017; Accepted: 4 December 2017; Published: 9 December 2017 Abstract: The decapeptide gonadotropin-releasing hormone, also referred to as luteinizing hormone-releasing hormone with the sequence (pGlu-His-Trp-Ser-Tyr-Gly-Leu-Arg-Pro-Gly-NH2) plays an important role in regulating the reproductive system. It stimulates differential release of the gonadotropins FSH and LH from pituitary tissue. To date, treatment of hormone-dependent diseases targeting the GnRH receptor, including peptide GnRH agonist and antagonists are now available on the market. The inherited issues associate with peptide agonists and antagonists have however, led to significant interest in developing orally active, small molecule, non-peptide antagonists. In this review, we will summarize all developed small molecule GnRH antagonists along with the most recent clinical data and therapeutic applications. Keywords: GnRH receptor; non-peptide GnRH antagonist 1. -
Relationships Among PL, #L, and the Determinant
Relationships Among PL, L, and the Determinant y z Eric Allender Mitsunori Ogihara Department of Computer Science Department of Computer Science Hill Center, Busch Campus, P.O. Box 1179 UniversityofRochester Piscataway, NJ 08855-117 9, USA Ro chester, NY 14627 [email protected] [email protected] Abstract Recent results byTo da, Vinay, Damm, and Valianthave shown that the complexity of the determinantischaracterized by the complexity of counting the numb er of accepting compu- tations of a nondeterministic logspace-b ounded machine. This class of functions is known as L. By using that characterization and by establishing a few elementary closure prop erties, we givea very simple pro of of a theorem of Jung, showing that probabilistic logspace-b ounded PL machines lose none of their computational p ower if they are restricted to run in p olynomial time. We also present new results comparing and contrasting the classes of functions reducible to PL, L, and the determinant, using various notions of reducibility. 1 Intro duction One of the most imp ortant and in uential early results of complexity theory is the theorem of [47] showing that the complexity of computing the p ermanentofaninteger matrix is characterized by the complexity class P of functions that count the numb er of accepting computation paths of a nondeterministic p olynomial-time machine. It is p erhaps surprising that well over a decade passed b efore it was discovered that an equally-close connection exists b etween the complexityof computing the determinant of a matrix and the class L de ned in [5] of functions that count the numb er of accepting computation paths of a nondeterministic logspace-b ounded machine. -
On a Theory of Computation and Complexity Over the Real Numbers: Np-Completeness, Recursive Functions and Universal Machines1
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 21, Number 1, July 1989 ON A THEORY OF COMPUTATION AND COMPLEXITY OVER THE REAL NUMBERS: NP-COMPLETENESS, RECURSIVE FUNCTIONS AND UNIVERSAL MACHINES1 LENORE BLUM2, MIKE SHUB AND STEVE SMALE ABSTRACT. We present a model for computation over the reals or an arbitrary (ordered) ring R. In this general setting, we obtain universal machines, partial recursive functions, as well as JVP-complete problems. While our theory reflects the classical over Z (e.g., the computable func tions are the recursive functions) it also reflects the special mathematical character of the underlying ring R (e.g., complements of Julia sets provide natural examples of R. E. undecidable sets over the reals) and provides a natural setting for studying foundational issues concerning algorithms in numerical analysis. Introduction. We develop here some ideas for machines and computa tion over the real numbers R. One motivation for this comes from scientific computation. In this use of the computer, a reasonable idealization has the cost of multiplication independent of the size of the number. This contrasts with the usual theoretical computer science picture which takes into account the number of bits of the numbers. Another motivation is to bring the theory of computation into the do main of analysis, geometry and topology. The mathematics of these sub jects can then be put to use in the systematic analysis of algorithms. On the other hand, there is an extensively developed subject of the theory of discrete computation, which we don't wish to lose in our theory. -
Formal Theories for Linear Algebra
Formal Theories for Linear Algebra Stephen Cook and Lila Fontes Department of Computer Science, University of Toronto fsacook, [email protected] Abstract. We introduce two-sorted theories in the style of [CN10] for the complexity classes ⊕L and DET , whose complete problems include determinants over Z2 and Z, respectively. We then describe interpreta- tions of Soltys' linear algebra theory LAp over arbitrary integral domains, into each of our new theories. The result shows equivalences of standard theorems of linear algebra over Z2 and Z can be proved in the corre- sponding theory, but leaves open the interesting question of whether the theorems themselves can be proved. 1 Introduction This paper introduces formal theories for the complexity classes ⊕L (also called P arityL) and DET for reasoning about linear algebra over the rings Z2 and Z, respectively. Complete problems for these classes include standard computa- tional problems of linear algebra over their respective rings, such as computing determinants, matrix powers, and coefficients of the characteristic polynomial of a matrix [BDHM92]. (Recently [BKR09] proved that for each k ≥ 1, computing the permanent mod 2k of an integer matrix is in ⊕L, and hence complete.) Each theory allows induction over any relation in the associated complexity class ⊕L or DET , and the functions definable in each theory are the functions in the class. Thus determinants and characteristic polynomials can be defined in the theories, but it is not clear that their standard properties can be proved without defining concepts outside the associated complexity classes. This remains an interesting open question [SK01,SC04]. -
Zero-Knowledge Proofs on Secret-Shared Data Via Fully Linear Pcps∗
Zero-Knowledge Proofs on Secret-Shared Data via Fully Linear PCPs∗ Dan Bonehy Elette Boylez Henry Corrigan-Gibbs§ Niv Gilboa{ Yuval Ishaik August 21, 2019 Abstract We introduce and study the notion of fully linear probabilistically checkable proof systems. In such a proof system, the verifier can make a small number of linear queries that apply jointly to the input and a proof vector. Our new type of proof system is motivated by applications in which the input statement is not fully available to any single verifier, but can still be efficiently accessed via linear queries. This situation arises in scenarios where the input is partitioned or secret-shared between two or more parties, or alternatively is encoded using an additively homomorphic encryption or commitment scheme. This setting appears in the context of secure messaging platforms, verifiable outsourced computation, PIR writing, private computation of aggregate statistics, and secure multiparty computation (MPC). In all these applications, there is a need for fully linear proof systems with short proofs. While several efficient constructions of fully linear proof systems are implicit in the interactive proofs literature, many questions about their complexity are open. We present several new constructions of fully linear zero-knowledge proof systems with sublinear proof size for “simple” or “structured” languages. For example, in the non-interactive setting of fully linear PCPs, we n show how to prove that an inputp vector x 2pF , for a finite field F, satisfies a single degree-2 equation with a proof of size O( n) and O( n) linear queries, which we show to be optimal. -
214621Orig1s000
CENTER FOR DRUG EVALUATION AND RESEARCH APPLICATION NUMBER: 214621Orig1s000 MULTI-DISCIPLINE REVIEW Summary Review Office Director Cross Discipline Team Leader Review Clinical Review Non-Clinical Review Statistical Review Clinical Pharmacology Review NDA/BLA Multi-disciplinary Review and Evaluation: NDA 214, 621 Relugolix NDA/BLA Multi-disciplinary Review and Evaluation Disclaimer: In this document, the sections labeled as “The Applicant’s Position” are completed by the Applicant, which do not necessarily reflect the positions of the FDA. Application Type NDA Application Number(s) NDA 214621 Priority or Standard Priority Submit Date(s) April 20, 2020 Received Date(s) April 20, 2020 PDUFA Goal Date December 20, 2020 Division/Office OND/CDER/OOD/DO1 Review Completion Date Established Name Relugolix (b) (4) (Proposed) Trade Name Pharmacologic Class Gonadotropin-releasing hormone (GnRH) receptor antagonist Code name TAK-385 Applicant Myovant Sciences, Inc. Formulation(s) oral tablet Dosing Regimen One time loading dose of 360 mg followed by 120 mg daily Applicant Proposed RELUGOLIX is a gonadotropin-releasing hormone Indication(s)/Population(s) (GnRH) antagonist indicated for the treatment of patients with advanced prostate cancer. Recommendation on Regular approval Regulatory Action Recommended RELUGOLIX is a gonadotropin-releasing hormone Indication(s)/Population(s) (GnRH) antagonist indicated for the treatment of (if applicable) patients with advanced prostate cancer. 1 Version date: January 2020 (ALL NDA/ BLA reviews) Disclaimer: In this document, the sections labeled as “The Applicant’s Position” are completed by the Applicant and do not necessarily reflect the positions of the FDA. Reference ID: 4719259 NDA/BLA Multi-disciplinary Review and Evaluation: NDA 214, 621 Relugolix Table of Contents Reviewers of Multi-Disciplinary Review and Evaluation .................................................. -
JOE-17-0079.Pdf
234 3 Y XIE and others Lh and Fsh signaling in 234:3 233–246 Research zebrafish spermatogenesis The highly overlapping actions of Lh signaling and Fsh signaling on zebrafish spermatogenesis Yuxin Xie1, Lianhe Chu1, Yun Liu1, Kathy W Y Sham1, Jianzhen Li1,2 and Correspondence Christopher H K Cheng1 should be addressed 1School of Biomedical Sciences, The Chinese University of Hong Kong-Shandong University Joint Laboratory to J Li or C H K Cheng on Reproductive Genetics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China Email 2College of Life Sciences, Northwest Normal University, Lanzhou, China [email protected] or [email protected] Abstract Gonadotropin signaling plays a pivotal role in the spermatogenesis of vertebrates, but Key Words exactly how gonadotropins regulate the process in non-mammalian species remains f Fsh elusive. Using a gene knockout approach in zebrafish, we have previously demonstrated f Lh the non-canonical action of gonadotropin signaling on spermatogenesis by analyzing f testis four single mutant lines (lhb, lhr, fshb and fshr) and three double mutant lines (lhb;fshb, f spermatogenesis lhr;fshr and fshb;lhr). In this study, we further investigated the actions of gonadotropins f zebrafish Endocrinology on the testis by establishing three other double-mutant zebrafish lines (lhb;lhr, fshb;fshr of and lhb;fshr). All lhb;lhr and fshb;fshr mutant males were fertile. Analysis on the gonadosomatic index and testicular histology in these lhb;lhr and fshb;fshr mutants Journal demonstrated that Lh signaling and Fsh signaling could functionally compensate each other in the testis. -
Trade-Offs in Distributed Interactive Proofs
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Dagstuhl Research Online Publication Server Trade-Offs in Distributed Interactive Proofs Pierluigi Crescenzi IRIF – CNRS and Université de Paris, France [email protected] Pierre Fraigniaud IRIF – CNRS and Université de Paris, France [email protected] Ami Paz IRIF – CNRS and Université de Paris, France Faculty of Computer Science, University of Vienna, Austria [email protected] Abstract The study of interactive proofs in the context of distributed network computing is a novel topic, recently introduced by Kol, Oshman, and Saxena [PODC 2018]. In the spirit of sequential interactive proofs theory, we study the power of distributed interactive proofs. This is achieved via a series of results establishing trade-offs between various parameters impacting the power of interactive proofs, including the number of interactions, the certificate size, the communication complexity, and the form of randomness used. Our results also connect distributed interactive proofs with the established field of distributed verification. In general, our results contribute to providing structure to the landscape of distributed interactive proofs. 2012 ACM Subject Classification Theory of computation → Distributed computing models; Theory of computation → Interactive proof systems; Theory of computation → Distributed algorithms Keywords and phrases Distributed interactive proofs, Distributed verification Digital Object Identifier 10.4230/LIPIcs.DISC.2019.13 Related Version A full version of the paper is available at https://arxiv.org/abs/1908.03363. Funding Pierre Fraigniaud: Additional support from the INRIA project GANG, and from the ANR project DESCARTES. Ami Paz: Supported by the Fondation des Sciences Mathématiques de Paris.