Academic literature on the topic 'Curve shortening'

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Journal articles on the topic "Curve shortening"

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Gage, Michael E. "Curve shortening on surfaces." Annales scientifiques de l'École normale supérieure 23, no. 2 (1990): 229–56. http://dx.doi.org/10.24033/asens.1603.

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Meijer, Kenneth, Henk J. Grootenboer, Bart F. J. M. Koopman, and Peter A. Huijing. "Fully Isometric Length-Force Curves of Rat Muscle Differ from Those during and after Concentric Contractions." Journal of Applied Biomechanics 13, no. 2 (1997): 164–81. http://dx.doi.org/10.1123/jab.13.2.164.

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The effect of various shortening histories on postshortening isometric length-force characteristics of rat medial gastrocnemlus (GM) was studied. Active muscle force and muscle geometry were analyzed after isotonic as well as isokinetic shortening. Active shortening significantly changed GM length-force characteristics (i.e., maximal muscle force, optimum muscle length, and active slack length). Muscle geometry did not change, which indicates that the observed changes in length-force curves are related to intracellular processes. Length-force curves valid during shortening, derived from postsh
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Stadler, Peter. "Curve shortening by short rulers." ESAIM: Proceedings and Surveys 46 (November 2014): 217–32. http://dx.doi.org/10.1051/proc/201446018.

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Nakayama, Kazuaki, Harvey Segur, and Miki Wadati. "A discrete curve-shortening equation." Methods and Applications of Analysis 4, no. 2 (1997): 162–72. http://dx.doi.org/10.4310/maa.1997.v4.n2.a6.

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Dziuk, Gerhard. "Discrete Anisotropic Curve Shortening Flow." SIAM Journal on Numerical Analysis 36, no. 6 (1999): 1808–30. http://dx.doi.org/10.1137/s0036142998337533.

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Stadler, Peter. "Curve shortening by short rulers." Journal of Difference Equations and Applications 22, no. 1 (2015): 22–36. http://dx.doi.org/10.1080/10236198.2015.1073724.

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Rademacher, Christine, and Hans-Bert Rademacher. "Solitons of Discrete Curve Shortening." Results in Mathematics 71, no. 1-2 (2016): 455–82. http://dx.doi.org/10.1007/s00025-016-0572-5.

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Dittberner, Friederike. "Curve Flows with a Global Forcing Term." Journal of Geometric Analysis 31, no. 8 (2021): 8414–59. http://dx.doi.org/10.1007/s12220-020-00600-1.

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AbstractWe consider embedded, smooth curves in the plane which are either closed or asymptotic to two lines. We study their behaviour under curve shortening flow with a global forcing term. We prove an analogue to Huisken’s distance comparison principle for curve shortening flow for initial curves whose local total curvature does not lie below $$-\pi $$ - π and show that this condition is sharp. With that, we can exclude singularities in finite time for bounded forcing terms. For immortal flows of closed curves whose forcing terms provide non-vanishing enclosed area and bounded length, we show
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Stanton, Marietta P. "Shortening the Case Management Learning Curve." Professional Case Management 14, no. 6 (2009): 278–81. http://dx.doi.org/10.1097/ncm.0b013e3181c3d424.

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Ma, Li, and Dezhong Chen. "Curve shortening in a Riemannian manifold." Annali di Matematica Pura ed Applicata 186, no. 4 (2006): 663–84. http://dx.doi.org/10.1007/s10231-006-0025-y.

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Dissertations / Theses on the topic "Curve shortening"

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Mäder-Baumdicker, Elena [Verfasser], and Ernst [Akademischer Betreuer] Kuwert. "The area preserving curve shortening flow with Neumann free boundary conditions = Der flächenerhaltende Curve Shortening Fluss mit einer freien Neumann-Randbedingung." Freiburg : Universität, 2014. http://d-nb.info/1123480648/34.

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Walter, Stefan [Verfasser], Volker Martin [Akademischer Betreuer] Betz, and Stefan [Akademischer Betreuer] Grosskinsky. "Curve Shortening Flow for Spatial Random Permutations / Stefan Walter ; Volker Martin Betz, Stefan Grosskinsky." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2017. http://d-nb.info/1136078797/34.

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Ciomaga, Adina. "Analytical properties of viscosity solutions for integro-differential equations : image visualization and restoration by curvature motions." Phd thesis, École normale supérieure de Cachan - ENS Cachan, 2011. http://tel.archives-ouvertes.fr/tel-00624378.

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Le manuscrit est constitué de deux parties indépendantes.Propriétés des Solutions de Viscosité des Equations Integro-Différentielles.Nous considérons des équations intégro-différentielles elliptiques et paraboliques non-linéaires (EID), où les termes non-locaux sont associés à des processus de Lévy. Ce travail est motivé par l'étude du Comportement en temps long des solutions de viscosité des EID, dans le cas périodique. Le résultat classique nous dit que la solution u(¢, t ) du problème de Dirichlet pour EID se comporte comme ?t Åv(x)Åo(1) quand t !1, où v est la solution du problème ergodiqu
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Chih-Wei, Chen. "A Survey of Curve Shortening Flow." 2006. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0001-2407200616435200.

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Chen, Chih-Wei, and 陳志偉. "A Survey of Curve Shortening Flow." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/62856427924803139957.

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Sewerin, Sebastian. "Curve shortening and the three geodesics theorem." 2016. https://ul.qucosa.de/id/qucosa%3A16857.

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The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric on the 2-sphere, there exist at least three embedded closed geodesics. In the process of determining the geodesics as critical points of the energy or length functional, a suitable method of curve shortening is needed. It has been suggested to use the so-called curve shortening flow as it continuously deforms smooth embedded curves while naturally preserving their embeddedness. In the 1980s, the investigation of the curve shortening flow began and a proof of the Lusternik-Schnirelmann theorem usi
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Walter, Stefan. "Curve Shortening Flow for Spatial Random Permutations." Phd thesis, 2017. http://tuprints.ulb.tu-darmstadt.de/6514/1/Dissertation-Ver%C3%B6ffentlichungsversion.pdf.

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Motivated by mean-curvature type droplet shrinking in the hydrodynamic scaling limit for the Ising model on a 2-dimensional lattice at zero temperature, we analyse a similar microscopic model based on spatial random permutations. This naturally leads to interacting particle systems and the derivation of their hydrodynamic equations. In the progress, we deal with non-gradient systems and non-product stationary measures.
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Chou, Jou-Wen, and 周柔文. "A Curve Shortening Flow in The Plane." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/24781710582829232189.

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"Lagrangian angles of foliation in R² under curve shortening flow." 2011. http://library.cuhk.edu.hk/record=b5894787.

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Ma, Man Shun.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.<br>Includes bibliographical references (leaves 75-76).<br>Abstracts in English and Chinese.<br>Chapter 1 --- Introduction --- p.6<br>Chapter 2 --- Basic notions in Riemannian geometry --- p.10<br>Chapter 2.1 --- Basic manifold theory --- p.11<br>Chapter 2.2 --- "Connection, curvature" --- p.19<br>Chapter 2.3 --- Submanifold theory --- p.29<br>Chapter 3 --- Basic facts in symplectic and complex geometry --- p.33<br>Chapter 3.1 --- "Symplectic manifolds, Lagrangian submanifolds" --- p.34<br>Chapter 3.2 --- Kahler an
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Books on the topic "Curve shortening"

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The Curve Shortening Problem. Chapman & Hall/CRC, 2001.

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W, Pinson Mark, and Langley Research Center, eds. Load-shortening behavior of an initially curved eccentrically loaded column. National Aeronautics and Space Administration, Langley Research Center, 1990.

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W, Pinson Mark, and Langley Research Center, eds. Load-shortening behavior of an initially curved eccentrically loaded column. National Aeronautics and Space Administration, Langley Research Center, 1990.

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W, Pinson Mark, and Langley Research Center, eds. Load-shortening behavior of an initially curved eccentrically loaded column. National Aeronautics and Space Administration, Langley Research Center, 1990.

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W, Pinson Mark, and Langley Research Center, eds. Load-shortening behavior of an initially curved eccentrically loaded column. National Aeronautics and Space Administration, Langley Research Center, 1990.

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Burge, Peter. Dupuytren’s disease. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780199550647.003.006007.

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♦ Dupuytren’s disease is characterised by contracture of a finger resulting from thickening and shortening of the palmar fascia♦ A genetic component to the aetiology is apparent, smoking, alcohol and diabetes can increase the risk♦ The pathogenesis of Dupuytren’s disease remains elusive♦ Non-surgical treatment options include splintage, steroid injection and collagenase injection♦ Surgery cannot cure the disease but can straighten bent digits and minimize recurrence♦ Operative methods can be considered with regards to incision, management of the diseased fascia and closure techniques♦ Operativ
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Book chapters on the topic "Curve shortening"

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Epstein, C. L., and Michael Gage. "The Curve Shortening Flow." In Mathematical Sciences Research Institute Publications. Springer US, 1987. http://dx.doi.org/10.1007/978-1-4613-9583-6_2.

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Cao, Frédéric. "3. Geometric curve shortening flow." In Geometric Curve Evolution and Image Processing. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-36392-7_3.

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Angenent, Sigurd, Allen Tannenbaum, Anthony Yezzi, and Ofer Zeitouni. "Curve Shortening and Interacting Particle Systems." In Statistics and Analysis of Shapes. Birkhäuser Boston, 2006. http://dx.doi.org/10.1007/0-8176-4481-4_12.

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Angenent, S. "Inflection Points, Extatic Points and Curve Shortening." In Hamiltonian Systems with Three or More Degrees of Freedom. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4673-9_1.

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Eppstein, David, Sariel Har-Peled, and Gabriel Nivasch. "Grid peeling and the affine curve-shortening flow." In 2018 Proceedings of the Twentieth Workshop on Algorithm Engineering and Experiments (ALENEX). Society for Industrial and Applied Mathematics, 2018. http://dx.doi.org/10.1137/1.9781611975055.10.

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Escher, Joachim, and Zhaoyong Feng. "On the Curve Shortening Flow with Triple Junction." In Functional Analysis and Evolution Equations. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7794-6_15.

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Burnett, Leonard E., and Andrea Hoffman. "Conclusion: Shortening the Learning Curve—Steps to Perfecting a Diversity Marketing Program." In Black Is the New Green. Palgrave Macmillan US, 2010. http://dx.doi.org/10.1057/9780230105973_7.

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Huptych, Marcel, Konrad Groh, and Sascha Röck. "Online Path Planning for Industrial Robots in Varying Environments Using the Curve Shortening Flow Method." In Intelligent Robotics and Applications. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25486-4_8.

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"Basic Results." In The Curve Shortening Problem. Chapman and Hall/CRC, 2001. http://dx.doi.org/10.1201/9781420035704-2.

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"Invariant Solutions for the Curve Shortening Flow." In The Curve Shortening Problem. Chapman and Hall/CRC, 2001. http://dx.doi.org/10.1201/9781420035704-3.

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Conference papers on the topic "Curve shortening"

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Adames, Márcio. "A Note on Self-Similar Solutions of the Curve Shortening." In CNMAC 2016 - XXXVI Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2017. http://dx.doi.org/10.5540/03.2017.005.01.0022.

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Mateus, Anto´nio F., and Joel A. Witz. "Steel Plate Serviceability in Marine Structures." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28362.

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Plates are structural components that are able to provide support beyond compressive collapse, i.e. in the post-buckling regime. To date the criterion used to define plate failure under compressive loading is the plate maximum load carrying capacity which is identified as the peak of the associated load versus plate end-shortening curve. Recent advances in structural analysis techniques, such as nonlinear finite element analysis, have enabled the reduction of uncertainty that is embedded into the behaviour and strength prediction of new and in-service structures. Consequently, a new criterion
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Toderan, C., T. Richir, J. D. Caprace, and Ph Rigo. "Ultimate Strength of Stiffened Panels Assesment Taking Into Account Model Uncertainty." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92426.

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This paper presents a methodology to take into account model uncertainties related to the load-end shortening curve of stiffened panels. This method is a part of a research activity carried out at University of Liege. His goal is to propose a reliability based model to assess hull girder ultimate strength using a progressive collapse algorithm. The numerical results presented here concern the load-shortening model chosen for this research, which is based on Bureau Veritas rules. Model uncertainty is quantified as a parameter considered as a random variable. Four statistical moments (mean, stan
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Yamada, Hiroshi, Kousuke Yasuno, Kensuke Fujisaki, and Hiroshi Ishiguro. "Hardening of the Porcine Thoracic Aorta Subjected to Freezing and Thawing: Experimental Evaluation and Mathematical Modeling." In ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer. ASMEDC, 2008. http://dx.doi.org/10.1115/mnht2008-52339.

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Identifying changes in the mechanical behavior of blood vessels subjected to freezing and thawing, such as occur with cryopreservation, are of key importance. Excising pairs of fresh ring specimens from identical porcine thoracic aortas (n = 8 for each cooling rate), we carried out uniaxial tensile loading and unloading tests over the physiological stress range (first and second tests) and performed a loading test until the breaking point within the range of a load cell (third test). After the first test, one specimen of the pair was frozen at −80°C at a cooling rate of −1°C or −50°C/min and t
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Amórtegui, José Vicente. "Neotectonics in Hydrocarbon Transportation Lines Corridors: The Need of a Detailed Study." In ASME 2013 International Pipeline Geotechnical Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ipg2013-1907.

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The Colombian pipeline network is exposed to the permanent activity of geological processes that happen in the country, due to the location of the country in the north-western corner of the South American plate — where it is interrelated to the Nazca and Caribbean plates —, the Andean zone is subject to compression strains that cause the uplifting of the mountain ranges and with it their slopes, which eases the instability processes. On the other hand, since the country is located in the inter-tropic zone of the planet, where the rock deterioration processes are harsher, landslides are more fr
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Simonassi, L., M. Zenz, P. Bruckner, F. Heitmeir, and A. Marn. "Aeroelastic and Aerodynamic Investigation of a Low Pressure Turbine Under the Influence of a Circumferential Inlet Distortion." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90887.

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Abstract Modern low pressure turbine (LPT) architectures of aero engines are designed in order to optimize weight, decrease the fuel consumption and noise emissions. This can be achieved with the use of lighter materials or by reducing the size of the engine. In particular, decreasing the axial distances between the blade rows and shortening the turbine centre frame. As a consequence, it becomes more and more important to investigate the influence of inflow circumferential distortions of total pressure and temperature that can be originated by struts, flow injections and measurement instrument
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Coenraad Hemker, H. "THE ACTION OF HEPARIN IN PLASMA." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643611.

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Much is known about the influence of heparin on the interaction between coagulation proteases and antithrombin III. In the complex milieu of clotting plasma and a fortiori in platelet rich plasma many proteins compete for the heparin, the proteases are partly protected from AT III (-heparin) action and several antiproteases compete for one protease. Also the concentrations of the reactant vary in the course of the clotting process. This makes it difficult to obtain a clear insight in the action of heparin in plasma from studies on purified system only. We therefore developed a method that allo
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Dong, Lixin, Arunkumar Subramanian, and Bradley J. Nelson. "Fabrication and Characterization of NEMS-Based Single Nanotube Emitter Arrays." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80212.

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Arrays of individual carbon nanotube (CNT) emitters for nanoelectromechanical systems (NEMS) are constructed and characterized. Vertically aligned single multi-walled carbon nanotubes (MWNTs) are realized using a combination of e-beam lithography and plasma-enhanced chemical vapour deposition (PECVD) growth. Field emission properties of the arrays are investigated inside a scanning electron microscope (SEM) using scanning anode field emission microscopy (SAFEM) realized from a scanning anode actuated by a 3-DOF nanorobotic manipulator with sub-nanometer resolution. With the SA-FEM and the arra
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Essien, E. M., and A. L. Inyang. "CHANGES IN PLATELET SURVIVAL AND SIALIC ACID CONCENTRATION IN PLASMODIUM BERGEI INFECTED RATS." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643974.

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Reduced circulating platelet count sometimes to thrombocytopenic levels in man and normally severe thrombocytopenia in animals are well known features of acute Plasmodium falciparum or experimental P. bergei infections in these respective organisms. Suggested mechanism(s), disseminated intravascular coagulation or immune mediated mechanism, thought to be involved in these observations are disputed. Shortened platelet survival has been reported in man.We now present data on platelet survival and total platelet sialic acid concentration in P. bergei-infected Wistar rats. A total of 52 rats were
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Seghatchian, M. J., and M. J. Dembinski. "EFFECT OF COLD ACTIVATION, AL(OH)3 ADSORBTIGN, TISSUE FACTOR AND PLATELET ON ONE/TWO STAGE CEROMOGENIC ASSAYS OF F. VIII." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1644032.

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Two stage Coatest assay of F. VIII is reportedly insensitive to pretreatment of F. VIII with thrombin. Since thrombin is formed rapidly, during the incubation step, a one stage method was tried by incorporating S2222, containing thrombin inhibitor (1-2581) in the incubation system, thus making the assay highly specific to F. Xa-induced activation of F. VIII and allowing to monitor directly the formation of paranitroaniline in microtray plate at 2-5 min. intervals. Initial comparative analyses performed on cold activated and/or adsorbed/non-adsorbed samples (FFP, cryoprecipitate and hypo- or hy
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