Relevant bibliographies by topics / Elliptio

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  4. Book chapters
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Academic literature on the topic 'Elliptio'

Author: Grafiati
Published: 29 July 2024
Last updated: 30 July 2024

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Journal articles on the topic "Elliptio"

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Lellis, William A., Barbara St John White, Jeffrey C. Cole, Connie S. Johnson, Julie L. Devers, Ellen van Snik Gray, and Heather S. Galbraith. "Newly Documented Host Fishes for the Eastern Elliptio Mussel Elliptio complanata." Journal of Fish and Wildlife Management 4, no. 1 (June 1, 2013): 75–85. http://dx.doi.org/10.3996/102012-jfwm-094.

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Abstract The eastern elliptio Elliptio complanata is a common, abundant, and ecologically important freshwater mussel that occurs throughout the Atlantic Slope drainage in the United States and Canada. Previous research has shown E. complanata glochidia to be host fish generalists, parasitizing yellow perch Perca flavescens, banded killifish Fundulus diaphanus, banded sculpin Cottus carolinae, and seven centrarchid species. Past laboratory studies have been conducted in the Midwest; however, glochidia used in these studies were obtained from adult mussels in the Great Lakes or St. Lawrence River basins, or glochidia sources were not reported. The objective of this study was to identify host fishes for E. complanata from streams in the Mid-Atlantic region. We used artificial laboratory infections to test host suitability of 38 fish and 2 amphibian species with E. complanata glochidia from the Chesapeake Bay drainage. Glochidia successfully metamorphosed into juvenile mussels on five fish species: American eel Anguilla rostrata, brook trout Salvelinus fontinalis, lake trout Salvelinus namaycush, mottled sculpin Cottus bairdii, and slimy sculpin Cottus cognatus. American eel was the most effective host, yielding the highest overall metamorphosis success (percentage of attached glochidia that transformed into juvenile mussels; ≥0.90) and producing 13.2 juveniles per fish overall. No juvenile E. complanata metamorphosed on other fish or amphibian species tested, including many previously identified host fishes that appear in the literature. Reasons for discrepancies in published host fish could include geographic variation in host use across the species' range, differences in host use between lentic and lotic populations, or poorly resolved taxonomy within the genus Elliptio.
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Jones, Michael T., Lisabeth L. Willey, Derek T. Yorks, Peter D. Hazelton, and Steve L. Johnson. "Passive transport of Eastern Elliptio (Elliptio complanata) by freshwater turtles in New England." Canadian Field-Naturalist 134, no. 1 (July 8, 2020): 56–59. http://dx.doi.org/10.22621/cfn.v134i1.2379.

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Dispersal of freshwater mussels (order Unionida) is primarily as glochidia on the fins and gills of host fish. Adult mussels are more sessile, generally moving short distances (<2 m/week) along lake and river beds. Between 2007 and 2016, we observed seven instances of adult Eastern Elliptio (Elliptio complanata) and one instance of a fingernail clam (Sphaerium sp.) attached to the feet of freshwater turtles in streams and ponds of New England, United States. Observations included five instances of mussels attached to Wood Turtles (Glyptemys insculpta) in Maine and Massachusetts, one instance of a mussel attached to the fingernail of an Eastern Painted Turtle (Chrysemys picta) in Massachusetts, one instance of a mussel attached to a Snapping Turtle (Chelydra serpentina) in Massachusetts, and one instance of a fingernail clam attached to the fingernail of an Eastern Painted Turtle in Massachusetts. We suggest that Eastern Elliptio may be susceptible to transport by freshwater turtles foraging in mussel beds and that transport of adult mussels by freshwater turtles could result in otherwise atypical long-distance, upstream, or overland dispersal between waterbodies.
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Lentz, V. M., and P. H. Lord. "Preliminary studies of the American eel (Anguilla rostrata) response to Eastern elliptio (Elliptio complanata) glochidia." Fish & Shellfish Immunology 34, no. 6 (June 2013): 1717. http://dx.doi.org/10.1016/j.fsi.2013.03.247.

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Blakeslee, Carrie J., and William A. Lellis. "The Effects of Seasonal Temperature and Photoperiod Manipulation on Reproduction in the Eastern Elliptio Elliptio complanata." Journal of Shellfish Research 38, no. 2 (August 20, 2019): 379. http://dx.doi.org/10.2983/035.038.0219.

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Kesler, David H., Teresa J. Newton, and Linda Green. "Long-term monitoring of growth in the Eastern Elliptio, Elliptio complanata (Bivalvia: Unionidae), in Rhode Island: a transplant experiment." Journal of the North American Benthological Society 26, no. 1 (March 2007): 123–33. http://dx.doi.org/10.1899/0887-3593(2007)26[123:lmogit]2.0.co;2.

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Ward, Rocky, Kristine M. Shaw, Scott T. Small, and William A. Lellis. "Development and characterization of microsatellite loci in Elliptio complanata (Mollusca: Unionidae) and cross-species amplification within the genus Elliptio." Conservation Genetics Resources 2, no. 1 (February 21, 2010): 131–34. http://dx.doi.org/10.1007/s12686-010-9186-5.

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Juramang, Risnayanti R., Ahmad Faqih, and Tian Tomayahu. "TINGKAT KELIMPAHAN DAN KEANEKARAGAMAN MOLLUSCA DI KAWASAN HUTAN MANGROVE PESISIR TABONGO KABUPATEN BOALEMO." Jurnal Eboni 5, no. 2 (November 30, 2023): 36–42. http://dx.doi.org/10.46918/eboni.v5i2.2038.

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Ekosistem mangrove mempunyai peran dan fungsi tertentu sebagai suatu ekosistem yang banyak dihidupi oleh fauna yang saling berasosiasi dengan ekosistem mangrove itu sendiri. Penelitian ini bertujuan untuk mengetahui tingkat keanekaragaman dan kelimpahan fauna akuatik jenis mollusca. Metode yang digunakan dalam penelitian adalah metode survey, dengan pendekatan deskriptif kuantitatif. jenis mollusca yang ditemukan pada kawasan mangrove pesisir Langala yaitu terdiri dari delapan yang terbagi atas tujuh family dan tujuh genus yang terdiri dari delapan spesies yaitu, Hexaplex trunculus, Nerita artikulata, Terebralia sulcata, Terebralia palustris, Faunus ater, Elliptio complanata, Cerastoderma edule dan Anadara antiquate. Hasil perhitungan keanekaragaman fauna akuatik untuk jenis Mollusca nilai indeks keanekaragaman tertinggi pada stasiun I yaitu H’= 1,94, yang mendominasi pada jenis Mollusca ini adalah Faunus ater. Indeks kelimpahan tertinggi untuk jenis Mollusca yang tertinggi terdapat pada spesies Anadara antiquate dengan nilai kelimpahan 34,54% dan spesies yang terendah adalah Nerita artikulata nilai indeks kelimpahan 16,18%. Jenis Mollusca yang sudah berada dalam status konservasi yaitu Nerita artikulata, Faunus ater, Elliptio complanata dengan status konservasi Least Concern.
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Amyot, Jean‐pierre, and John A. Downing. "Locomotion in Elliptio complanata (Mollusca: Unionidae): a reproductive function?" Freshwater Biology 39, no. 2 (March 1998): 351–58. http://dx.doi.org/10.1046/j.1365-2427.1998.00289.x.

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Auclair, Joëlle, Caroline Peyrot, Kevin James Wilkinson, and François Gagné. "Biophysical effects of polystyrene nanoparticles on Elliptio complanata mussels." Environmental Science and Pollution Research 27, no. 20 (April 28, 2020): 25093–102. http://dx.doi.org/10.1007/s11356-020-08920-z.

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Metcalfe-Smith, Janice L., and Roger H. Green. "Ageing studies on three species of freshwater mussels from a metal-polluted watershed in Nova Scotia, Canada." Canadian Journal of Zoology 70, no. 7 (July 1, 1992): 1284–91. http://dx.doi.org/10.1139/z92-179.

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Freshwater mussels are increasingly used to monitor metal pollution in freshwater systems. Mussels are long-lived, and age is a factor that may influence metal concentrations in their tissues. Species that can be precisely aged are most suitable for biomonitoring because they can be standardized for this factor. Precise age estimates are also needed for determining the effects of contamination on population parameters such as growth rate. Elliptio complanata, Anodonta implicata, and Alasmidonta undulata (family Unionidae) were collected from two Nova Scotia lakes contaminated with arsenic and mercury. Mussel shells were weighed, measured, and sectioned, and two independent counts of internal growth bands were made. External rings were also counted for A. implicata. Age estimates based on internal bands were most precise for E. complanata (r2 = 0.71 vs. 0.35 for A. implicata and 0.29 for A. undulata). Estimates based on external rings were more precise (r2 = 0.69) than those based on internal bands for A. implicata, but were believed to include disturbance rings. Shell length and weight were similarly correlated with age for a given species and population, but relationships were less clear in the lake with the more variable habitat. Elliptio complanata were much smaller at a given age in the more contaminated lake.
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Dissertations / Theses on the topic "Elliptio"

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Gustafson, Laura L. "Nonlethal health assessment of the freshwater mussel Elliptio complanata." NCSU, 2003. http://www.lib.ncsu.edu/theses/available/etd-01032003-130125/.

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Freshwater mussels are in decline, with over 70% of North American species categorized as endangered, threatened or of special concern. In an effort to create a nonlethal protocol for health evaluation of freshwater mussels we conducted a series of investigations on wild and captive populations of Elliptio complanata. We tested a method for nonlethal hemolymph collection and found no growth or survival effects in 30 sampled animals relative to 30 controls. We surveyed unionid populations from 19 different stream reaches from a rural region of North Carolina to provide a set of baseline ranges for hemolymph composition in healthy populations. These parameters included hemolymph calcium, magnesium, phosphorus, cell count, glucose, aspartate aminotransferase (AST), ammonia and protein. We tested these parameters in a captive population held under relatively uniform conditions and found most stable over time. Delta 15N declined substantially over time in captivity, likely in response to a large change in environmental _15N signatures. We tested health parameters in three groups of Elliptio complanata after three months under low, moderate or high feed conditions. The treatment groups varied in hemolymph glycogen, magnesium, calcium and phosphorus concentrations and in foot tissue _15N and _13C, providing possible indicators of subtle change in nutritional condition. We also transplanted Elliptio complanata from a stream enriched in _15N-N03 to a relatively depleted stream and evaluated the lag time required for mussel nitrogen isotope signatures to reflect new environmental signatures. We found a slow turnover time but relatively little variability compared to water signatures, suggesting that bivalves may be useful indicators of chronic nutrient loading in rivers and streams. We conclude that, with further research, hemolymph can be a valuable and safe tool for assessment of freshwater mussel population and habitat health.
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Amyot, Jean-Pierre. "Locomotion et répartition spatiale chez le bivalve d'eau douce Elliptio complanata." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ35561.pdf.

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Jefferson, Catherine Ann. "Evaluation of histological and biochemical biomarkers for freshwater mussels, Elliptio complanata, in contaminated environments." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq21690.pdf.

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Mosher, Shad. "Biomarkers of Lead Exposure in the Freshwater Mussel Elliptio complanata For Assessing Transportation Related Impacts." NCSU, 2008. http://www.lib.ncsu.edu/theses/available/etd-08062008-130313/.

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The first phase of this study involved examination of lead (Pb) concentrations in adult Eastern elliptio (Elliptio complanata) mussel tissue and sediment at 40 sites throughout North Carolina, ranging in average daily traffic count, land-use patterns and watershed characteristics. Data from these sites revealed an increased Pb concentration of about 2 μg/g in sediment downstream of bridge crossings compared to upstream for high traffic areas of >20,000 vehicle crossings/day (vc/d), as well as a significantly greater average Pb concentration in mussels from sites with traffic count >500 vc/d compared to sites with <500 vc/d. Two 28-d toxicity tests with Pb and adult Eastern elliptio mussels were conducted in the second phase of the study to compare the field-derived Pb bioaccumulation data and to examine sublethal biomarkers of Pb exposure and toxicity. Endpoints for the tests included mussel survival, metal accumulation, shell length and weight. For the first test, δ-aminolevulinic acid dehydratase (ALAD) inhibition was assessed as a biomarker of exposure and effect in mussel hemolymph. In the second test, Na+,K+-ATPase activity in mussel gill tissue was examined as a biomarker of exposure and effect, along with measurements of hemolymph ion concentrations. Pb was measured in mussel hemolymph in both tests at near-exposure levels, and at the greatest exposure concentration in the first test (396 μg/L), the hemolymph Pb concentration was 4.5 times the amount present in test water. In contrast, the greatest exposure concentration in the second test (458 μg/L), had hemolymph concentrations only 0.12 times the amount present in test water. This finding suggested a threshold effect concentration for Pb exposure and hemolymph concentrations. The average Pb concentration in mussel tissue was strongly correlated with Pb exposure concentration (R²= 0.99) at day 28 for both tests. The enzyme ALAD was not present in measurable concentrations in freshwater mussel hemolymph, gill or mantle tissue. The Na+,K+-ATPase activity was found to be a strong biomarker of Pb exposure in freshwater mussel gill tissue (~50% of total ATPase) using a K-free salt solution for detection, and was found to be negatively correlated with average tissue Pb concentration (R2 = 0.85) on day 28. Pb accumulated rapidly in mussel tissue during the first two weeks of the second exposure, with lesser accumulation during the final two weeks, with only the 121 µg/L treatment group changing significantly. Because Pb was being removed from the test water throughout the duration of exposure, I conclude that the mussels were approaching equilibrium with the aqueous environment and were eliminating the Pb in lysosomes and granulocytes through pseudo-feces. Although the major contribution of Pb to the environment from now-banned leaded gasoline is still evident in North Carolina, the concentrations measured in mussel tissue and sediment were not at levels which would cause immediate or short-term reductions in Eastern elliptio populations. Moreover, the sub-lethal effects of Pb on Na+,K+-ATPase activity, although a strong biomarker of exposure, appear not to be significantly effected at environmentally relevant concentrations of Pb. However, other species of freshwater mussels may be more sensitive to Pb contamination and further assessment is needed to verify the role Pb may be having in the overall declines in mussel species diversity being observed worldwide.
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Molina, Reverie Alvarez. "Morphological and Genetic Description of the Freshwater Mussel, Elliptio complanata (Lightfoot, 1786) in the Cape Fear River System, N.C." NCSU, 2004. http://www.lib.ncsu.edu/theses/available/etd-05202004-184213/.

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The purpose of this research is to provide a preliminary description of the morphological and genetic variation of a cosmopolitan freshwater mussel E. complanata from one North Carolina river system, Cape Fear River (CFR). Individuals from CFR were collected and compared with known specimens of E. complanata (topotype). Multivariate analyses, such as factor and discriminant analyses were utilized to differentiate the individuals based on thirty morphological shell landmarks. Genetic analyses involved the use of diversity estimates and cluster analyses based on cytochrome oxidase I (COI) sequence and Amplified Fragment Length Polymorphism (AFLP) fingerprint data. Factor analysis suggest that E. complanata from CFR maybe differentiated based on the thickness of posterior and anterior shell angles, and obesity of the shells. Significant differences between the CFR samples and topotypes were demonstrated by discriminant analysis of morphological data and by COI gene diversity estimates. This difference corroborated earlier work suggesting geographic delineation of E. complanata shell form. Genomic fingerprinting suggests further variation even within the topotypes. Phenotype of the topotypic materials seems to support this genomic variability. Heirarchical cluster analyses of morphometry and genetic data further showed different groups supporting earlier research suggesting high form variation within the E. complanata species.
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Yates, Jennifer Maria. "Influences of a Cladophora Bloom on the Diets of Amblema Plicata and Elliptio Dilatata in the Upper Green River, Kentucky." TopSCHOLAR®, 2012. http://digitalcommons.wku.edu/theses/1221.

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Freshwater mussels are the most imperiled group of freshwater invertebrates globally. Recent research suggests a better understanding of mussel feeding ecology may facilitate and improve conservation efforts. The use of stable isotopes is becoming an increasingly common method to study aquatic food webs. Carbon (C) and nitrogen (N) are two of the most frequently employed elements in food web studies. Differences in natural abundance of 13C/12C can indicate which food sources are the basal sources of carbon incorporated into a consumer’s tissue, while the ratio of 15N /14N provides a method of assessing trophic position within a food web. Attached macroalgae, including the genus Cladophora, may be the dominant primary producers in running water systems. Cladophora, however, has not yet been indicated as a prominent assimilated food source for freshwater mussels. The overall purpose of this study was to assess if the diet of two common Green River mussel species, Amblema plicata (Say) and Elliptio dilatata (Rafinesque) were influenced by the seasonal change in availability of Cladophora during a summer-autumn rapid growth period. Two specific questions were asked: 1) Are the assimilated diets different between control and treatment areas, and 2) are the assimilated diets influenced by differing Cladophora levels across the study period? A mesocosm approach was employed in order to manipulate Cladophora levels within a treatment area. Seventy-two mussels, 36 each species, were sampled across four months,twice between control (= reach-scale, heavy Cladophora cover) and treatment (= localscale removal of Cladophora) areas. The freeware program, IsoSource, a concentration weighted linear mixing model, was used to determine the potential contribution of potential food sources to the diet of both mussel species. IsoSource revealed that Cladophora was the primary assimilated food source for both species across the study period. Although assimilated diets were not different between control and treatment areas, diets were, however, influenced by Cladophora availability across time. The results of this study indicate that, during bloom conditions, Cladophora is the primary carbon source for both A. plicata and E. dilatata and may form the base of food webs in the upper Green River.
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Pédelucq, Julie. "Etude de la présence, du devenir et de l’impact des psychotropes dans la Garonne estuarienne (France) et le fleuve Saint Laurent (Québec, Canada)." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0409/document.

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L’urbanisation croissante et la propagation des activités humaines entrainent l’augmentation de l’apport de nombreux micropolluants dans le milieu aquatique. Le compartiment aquatique est alors défini comme le réceptacle ultime de la pollution environnementale apportée par diverses sources : les effluents municipaux et industriels, les lixiviats des sites d’élimination des déchets solides, le ruissellement des eaux urbaines et des eaux des sites agricoles. Parmi les contaminants retrouvés dans l’eau, il y a les psychotropes (benzodiazépines, antidépresseurs,antiépileptiques, etc…) qui appartiennent à la grande famille des médicaments. Ce sont des molécules biologiquement actives, ubiquistes, qui sont principalement d’origine urbaine, qui sont apportées continuellement dans l’environnement aquatique et qui sont fortement consommées au niveau mondial. Depuis quelques années, les scientifiques commencent à s’intéresser à cette famille thérapeutique mais il existe encore un réel manque de connaissance sur l’intégralité du problème de diffusion des psychotropes,de leur passage en station d’épuration à leur présence dans l’environnement et enfin à leur impact sur les organismes aquatiques. Ces travaux de thèse cherchent donc à documenter ce point en se focalisant sur l’étude de la présence, du devenir et de l’impact des psychotropes dans la Garonne estuarienne (France) et le fleuve Saint Laurent (Québec, Canada). Dans un premier temps, une méthode analytique multi-résidus permettant l’analyse de 47 psychotropes dans les eaux usées et les eaux de surface a été développée et validée. Des échantillonneurs passifs de type POCIS (Polar Organic Chemical Integrative Sampler) ont été calibrés et validés afin de permettre le suivi intégratif et continu des psychotropes dans les eaux de surface.Dans un second temps, les effluents d’entrée et de sortie de station d’épuration des agglomérations de Bordeaux en France et de Repentigny et Montréal au Québec ont été caractérisés. Les résultats de cette étude montrent que les traitements épuratoires de chacune des stations d’épurations étudiées ont une efficacité limitée pour éliminer les psychotropes dans les eaux usées. Par la suite, le suivi effectué dans la Garonne estuarienne et dans le fleuve Saint Laurent a mis en évidence la présence de psychotropes dans l’environnement qui sont majoritairement apportés par l’amont des villes de Bordeaux et Montréal.La comparaison des résultats obtenus pour la France et le Québec montre qu’il existe bien des habitudes de prescriptions et de consommations différentes entre les deux pays. Même si les procédés d’épuration sont différents entre les deux pays (traitement secondaire en France et primaire au Québec),l’efficacité d’élimination sur la famille thérapeutique des psychotropes reste insuffisante. Enfin ila été observé que le débit du milieu récepteur jouait un rôle important dans la dilution et le devenir des composés.Dans un troisième et dernier temps, des études in vitro et in vivo ont montré que certains psychotropes pouvaient avoir un impact toxique sur les bivalves d’eau douce étudiés (Elliptio complanata et Corbiculafluminea) lors d’exposition de composés seuls ou en mélange à des concentrations de l’ordre du mg.L-1 (concentrations expérimentales) et même du ng.L-1 (concentrations environnementales)
Increasing urbanization and human activities cause an increase of micropollutant input in the aquatic environment. The water compartment is then defined as the ultimate receptacle of environmental pollution originating from various sources: municipal and industrial wastewaters, leachates from solidwaste disposal sites, waters of urban and agricultural runoff.Among the contaminants found in the water, there are psychotropic drugs (benzodiazepines, antidepressantsor antiepileptics) belonging to the family of pharmaceuticals. These are biologically active molecules, ubiquitous, which are mainly of urban origin, which are continuously introduced into the aquatic environment and are heavily consumed around the world.In recent years, scientists have begun to show interest for this therapeutic family, but there is still areal lack of knowledge about the full psychotropic diffusion problem; from their presence in wastewater treatment plant to their presence in the environment and finally to their impact on aquatic organisms.In this global perspective these thesis works seek to document the presence, fate and impact of psychotropic drugs in the Garonne estuarine (France) and the St. Lawrence River (Quebec, Canada).Firstly, a multi-residue analytical method for the analysis of 47 psychotropic drugs in wastewater and surface waters has been developed and validated. POCIS passive samplers were calibrated and validated for continuous integrative monitoring of psychotropic drugs in surface waters.Secondly, the treatment plant influents and effluents of Bordeaux in France and Repentigny and Montreal in Quebec have been characterized. The results of this study show that treatment processes ofstudied wastewater treatment plants have limited performances to remove psychotropic drugs in wastewaters. There after, the monitoring performed in the Garonne estuarine and in the St. Lawrence River has highlighted that the presence of psychotropic drug in the environment is mainly related toupstream input of Bordeaux and Montréal.Comparison of the results obtained in the two countries surveyed show that there are many different patterns of prescriptions and consumption between the two countries. Although the treatment processes are different between the two countries (secondary treatment in France and primary in Quebec), their removal efficiency is still insufficient for psychotropic drugs. Finally it was observed that theflow rate of the receiving environment plays an important role in the dilution and the fate of the compounds.In a third and final stage, in vitro and in vivo studies have shown that some psychotropic drugs could have a toxic impact on the studied freshwater bivalves (Elliptio complanata and Corbicula fluminea) upon exposure alone or in mixture with concentrations in the order of mg.L-1 (tests concentrations) and even ng.L-1 (environmental concentrations)
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Mecklenburg, Trinity. "Elliptic Curves." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/186.

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The main focus of this paper is the study of elliptic curves, non-singular projective curves of genus 1. Under a geometric operation, the rational points E(Q) of an elliptic curve E form a group, which is a finitely-generated abelian group by Mordell’s theorem. Thus, this group can be expressed as the finite direct sum of copies of Z and finite cyclic groups. The number of finite copies of Z is called the rank of E(Q). From John Tate and Joseph Silverman we have a formula to compute the rank of curves of the form E: y2 = x3 + ax2 + bx. In this thesis, we generalize this formula, using a purely group theoretic approach, and utilize this generalization to find the rank of curves of the form E: y2 = x3 + c. To do this, we review a few well-known homomorphisms on the curve E: y2 = x3 + ax2 + bx as in Tate and Silverman's Elliptic Curves, and study analogous homomorphisms on E: y2 = x3 + c and relevant facts.
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Taufer, Daniele. "Elliptic Loops." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/265846.

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Given an elliptic curve E over Fp and an integer e ≥ 1, we define a new object, called “elliptic loop”, as the set of plane projective points over Z/p^e Z lying over E, endowed with an operation inherited by the curve addition. This object is proved to be a power-associative abelian algebraic loop. Its substructures are investigated by means of other algebraic cubics defined over the same ring, which we named “shadow curve” and “layers”. When E has trace 1, a distinctive behavior is detected and employed for producing an isomorphism attack to the discrete logarithm on this family of curves. Stronger properties are derived for small values of e, which lead to an explicit description of the infinity part and to characterizing the geometry of rational |E|-torsion points.
Data una curva ellittica E su Fp ed un intero e ≥ 1, definiamo un nuovo oggetto, chiamato "loop ellittico", come l'insieme dei punti nel piano proiettivo su Z/p^e Z che stanno sopra ad E, dotato di una operazione ereditata dalla somma di punti sulla curva. Questo oggetto si prova essere un loop algebrico con associatività delle potenze. Le sue sotto-strutture sono investigate utilizzando altre cubiche definite sullo stesso anello, che abbiamo chiamato "curva ombra" e "strati". Quando E ha traccia 1, un comportamento speciale viene notato e sfruttato per produrre un attacco di isomorfismo al problema del logaritmo discreto su questa famiglia di curve. Migliori proprietà vengono trovate per bassi valori di e, che portano ad una descrizione esplicita della parte all'infinito e alla caratterizzazione della geometria dei punti razionali di |E|-torsione.
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Taufer, Daniele. "Elliptic Loops." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/265846.

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Abstract:
Given an elliptic curve E over Fp and an integer e ≥ 1, we define a new object, called “elliptic loop”, as the set of plane projective points over Z/p^e Z lying over E, endowed with an operation inherited by the curve addition. This object is proved to be a power-associative abelian algebraic loop. Its substructures are investigated by means of other algebraic cubics defined over the same ring, which we named “shadow curve” and “layers”. When E has trace 1, a distinctive behavior is detected and employed for producing an isomorphism attack to the discrete logarithm on this family of curves. Stronger properties are derived for small values of e, which lead to an explicit description of the infinity part and to characterizing the geometry of rational |E|-torsion points.
Data una curva ellittica E su Fp ed un intero e ≥ 1, definiamo un nuovo oggetto, chiamato "loop ellittico", come l'insieme dei punti nel piano proiettivo su Z/p^e Z che stanno sopra ad E, dotato di una operazione ereditata dalla somma di punti sulla curva. Questo oggetto si prova essere un loop algebrico con associatività delle potenze. Le sue sotto-strutture sono investigate utilizzando altre cubiche definite sullo stesso anello, che abbiamo chiamato "curva ombra" e "strati". Quando E ha traccia 1, un comportamento speciale viene notato e sfruttato per produrre un attacco di isomorfismo al problema del logaritmo discreto su questa famiglia di curve. Migliori proprietà vengono trovate per bassi valori di e, che portano ad una descrizione esplicita della parte all'infinito e alla caratterizzazione della geometria dei punti razionali di |E|-torsione.
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Books on the topic "Elliptio"

1

1952-, Mulvey Margaret, ed. Species status of Mill Creek Elliptio. Aiken, S.C: Savannah River Site National Environmental Research Park Program, 1993.

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Prasolov, V. V. Elliptic functions and elliptic integrals. Providence, R.I: American Mathematical Society, 1997.

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Takebe, Takashi. Elliptic Integrals and Elliptic Functions. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-30265-7.

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Thomas, C. B. Elliptic cohomology. New York: Kluwer Academic, 2002.

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Miller, Haynes R., and Douglas C. Ravenel, eds. Elliptic Cohomology. Cambridge: Cambridge University Press, 2007. http://dx.doi.org/10.1017/cbo9780511721489.

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Husemöller, Dale. Elliptic Curves. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2.

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Lang, Serge. Elliptic Functions. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4752-4.

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Chandrasekharan, Komaravolu. Elliptic Functions. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-52244-4.

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Lang, Serge. Elliptic functions. 2nd ed. New York: Springer-Verlag, 1987.

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Knapp, Anthony W. Elliptic curves. Princeton, N.J: Princeton University Press, 1993.

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Book chapters on the topic "Elliptio"

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Diacu, Florin. "Positive Elliptic-Elliptic RE." In Relative Equilibria of the Curved N-Body Problem, 99–108. Paris: Atlantis Press, 2012. http://dx.doi.org/10.2991/978-94-91216-68-8_10.

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Zheng, Zhiyong. "Elliptic Curve." In Financial Mathematics and Fintech, 229–51. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0920-7_6.

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Abstract:
AbstractIn 1985, mathematician v. Miller introduced elliptic curve into cryptography for the first time. In 1987, mathematician N. Koblitz further improved and perfected Miller’s work and formed the famous elliptic curve public key cryptosystem.
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Redden, Corbett. "Elliptic genera and elliptic cohomology." In Topological Modular Forms, 3–16. Providence, Rhode Island: American Mathematical Society, 2014. http://dx.doi.org/10.1090/surv/201/01.

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Husemöller, Dale. "Introduction to Rational Points on Plane Curves." In Elliptic Curves, 1–21. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2_1.

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Husemöller, Dale. "Elliptic and Hypergeometric Functions." In Elliptic Curves, 162–82. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2_10.

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Husemöller, Dale. "Theta Functions." In Elliptic Curves, 183–201. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2_11.

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Husemöller, Dale. "Modular Functions." In Elliptic Curves, 202–21. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2_12.

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Husemöller, Dale. "Endomorphisms of Elliptic Curves." In Elliptic Curves, 222–41. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2_13.

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Husemöller, Dale. "Elliptic Curves over Finite Fields." In Elliptic Curves, 242–61. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2_14.

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Husemöller, Dale. "Elliptic Curves over Local Fields." In Elliptic Curves, 262–71. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-5119-2_15.

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Conference papers on the topic "Elliptio"

1

Geeza, Thomas J., David P. Gillikin, and Nathaniel Warner. "TRACE AND MAJOR ELEMENT RATIOS IN ELLIPTIO DILATATUS SHELLS AS INDICATORS OF SURFACE WATER QUALITY IN WESTERN PENNSYLVANIA." In 67th Annual Southeastern GSA Section Meeting - 2018. Geological Society of America, 2018. http://dx.doi.org/10.1130/abs/2018se-312904.

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Castiel, D., J. Brosius, and J. Draim. "ELLIPSO - Coverage optimization using elliptic orbits." In 15th International Communicatons Satellite Systems Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-1098.

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Raczyński, Andrzej. "Existence of solutions for a model of self-gravitating particles with external potential." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-18.

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Nikolopoulos, C. V., and D. E. Tzanetis. "Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-16.

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Orpel, Aleksandra. "On the existence of multiple positive solutions for a certain class of elliptic problems." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-17.

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Arkeryd, Leif. "On stationary kinetic systems of Boltzmann type and their fluid limits." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-1.

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Griepentrog, Jens A. "On the unique solvability of a nonlocal phase separation problem for multicomponent systems." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-10.

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Guerra, Ignacio. "Asymptotic self-similar blow-up for a model of aggregation." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-11.

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Nikolopoulos, C. V., and D. E. Tzanetis. "Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-12.

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Kuto, Kousuke, and Yoshio Yamada. "Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion." In Nonlocal Elliptic and Parabolic Problems. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc66-0-13.

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Reports on the topic "Elliptio"

1

Davis, G. M., and M. Mulvey. Species status of Mill Creek Elliptio. Office of Scientific and Technical Information (OSTI), December 1993. http://dx.doi.org/10.2172/10143436.

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Langley, A., M. Hamburg, and S. Turner. Elliptic Curves for Security. RFC Editor, January 2016. http://dx.doi.org/10.17487/rfc7748.

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Atanasso, Krassimir. Elliptic Intuitionistic Fuzzy Sets. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, June 2021. http://dx.doi.org/10.7546/crabs.2021.06.02.

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Faz-Hernandez, A., S. Scott, N. Sullivan, R. S. Wahby, and C. A. Wood. Hashing to Elliptic Curves. RFC Editor, August 2023. http://dx.doi.org/10.17487/rfc9380.

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Turner, S., and D. Brown. Elliptic Curve Private Key Structure. RFC Editor, June 2010. http://dx.doi.org/10.17487/rfc5915.

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McGrew, D., K. Igoe, and M. Salter. Fundamental Elliptic Curve Cryptography Algorithms. RFC Editor, February 2011. http://dx.doi.org/10.17487/rfc6090.

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Shaker, Aihua W. On Singular Semilinear Elliptic Equations. Fort Belvoir, VA: Defense Technical Information Center, May 1991. http://dx.doi.org/10.21236/ada238784.

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Jivsov, A. Elliptic Curve Cryptography (ECC) in OpenPGP. RFC Editor, June 2012. http://dx.doi.org/10.17487/rfc6637.

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Lototsky, S. V., B. L. Rozovskii, and X. Wan. Elliptic Equations of Higher Stochastic Order. Fort Belvoir, VA: Defense Technical Information Center, January 2009. http://dx.doi.org/10.21236/ada597555.

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Ghandehari, Mostafa, and Dave Logothetti. Elliptic Integrals in the Minkowski Plane. Fort Belvoir, VA: Defense Technical Information Center, May 1991. http://dx.doi.org/10.21236/ada236710.

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