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Academic literature on the topic 'BV functions'

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Published: 11 March 2023
Last updated: 14 March 2023

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Journal articles on the topic "BV functions"

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Anzellotti, G., S. Delladio, and G. Scianna. "BV Functions over rectifiable currents." Annali di Matematica Pura ed Applicata 170, no. 1 (December 1996): 257–96. http://dx.doi.org/10.1007/bf01758991.

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Williams, Stephen A., and Richard C. Scalzo. "Differential games and BV functions." Journal of Differential Equations 59, no. 3 (September 1985): 296–313. http://dx.doi.org/10.1016/0022-0396(85)90143-3.

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sci, global. "Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups." Analysis in Theory and Applications 37, no. 3 (June 2021): 311–29. http://dx.doi.org/10.4208/ata.2021.lu80.03.

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Araujo, Jesuś. "Linear isometries between spaces of functions of bounded variation." Bulletin of the Australian Mathematical Society 59, no. 2 (April 1999): 335–41. http://dx.doi.org/10.1017/s0004972700032949.

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Given two subsets X and Y of ℝ each with at least two points, we describe the surjective linear isometries between the spaces of functions of bounded variation BV(X) and BV(Y): namely, if T : BV(X) → BV(Y) is such an isometry, then there exist α ∈ ℂ, |α| = 1, and a monotonic bijective map h : Y → X such that (Tf)(y) = αf(h(y)) for every f ∈ BV(X) and every y ∈ Y.
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LA TORRE, DAVIDE, FRANKLIN MENDIVIL, and EDWARD R. VRSCAY. "ITERATED FUNCTION SYSTEMS ON FUNCTIONS OF BOUNDED VARIATION." Fractals 24, no. 02 (June 2016): 1650019. http://dx.doi.org/10.1142/s0218348x16500195.

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We show that under certain hypotheses, an iterated function system on mappings (IFSM) is a contraction on the complete space of functions of bounded variation (BV). It then possesses a unique attractor of BV. Some BV-based inverse problems based on the Collage Theorem for contraction maps are considered.
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Bianchini, Stefano, and Daniela Tonon. "A decomposition theorem for $BV$ functions." Communications on Pure and Applied Analysis 10, no. 6 (May 2011): 1549–66. http://dx.doi.org/10.3934/cpaa.2011.10.1549.

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Bellettini, Giovanni, Maurizio Paolini, Franco Pasquarelli, and Giuseppe Scianna. "Covers, soap films and BV functions." Geometric Flows 3, no. 1 (March 1, 2018): 57–75. http://dx.doi.org/10.1515/geofl-2018-0005.

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Abstract In this paper we review the double covers method with constrained BV functions for solving the classical Plateau’s problem. Next, we carefully analyze some interesting examples of soap films compatible with covers of degree larger than two: in particular, the case of a soap film only partially wetting a space curve, a soap film spanning a cubical frame but having a large tunnel, a soap film that retracts to its boundary, and various soap films spanning an octahedral frame.
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Greco, Luigi, and Roberta Schiattarella. "An embedding theorem for BV-functions." Communications in Contemporary Mathematics 22, no. 04 (May 24, 2019): 1950032. http://dx.doi.org/10.1142/s0219199719500329.

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Ambrosio, Luigi, Michele Miranda, Stefania Maniglia, and Diego Pallara. "BV functions in abstract Wiener spaces." Journal of Functional Analysis 258, no. 3 (February 2010): 785–813. http://dx.doi.org/10.1016/j.jfa.2009.09.008.

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Astudillo-Villalba, Franklin R., and Julio C. Ramos-Fernández. "Multiplication operators on the space of functions of bounded variation." Demonstratio Mathematica 50, no. 1 (April 25, 2017): 105–15. http://dx.doi.org/10.1515/dema-2017-0012.

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Abstract In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication operators on BV[0, 1].
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Dissertations / Theses on the topic "BV functions"

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De, Cicco Virginia. "Some Lower Semicontinuity and Relaxation Results for Functionals Defined on BV (Ω)." Doctoral thesis, SISSA, 1992. http://hdl.handle.net/20.500.11767/4325.

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BUFFA, Vito. "BV Functions in Metric Measure Spaces: Traces and Integration by Parts Formulæ." Doctoral thesis, Università degli studi di Ferrara, 2018. http://hdl.handle.net/11392/2488124.

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Questa tesi fornisce una panoramica sulla teoria delle funzioni Sobolev e BV nel contesto degli spazi metrici con misura. Vengono messe a confronto diverse caratterizzazioni di tali spazi al fine di evidenziarne le interconnessioni e le condizioni che garantiscono l'equivalenza delle definizioni. Dunque, si discute la struttura differenziale introdotta da N. Gigli in un articolo del 2014 per dare una nuova definizione di funzioni BV nel setting RCD(K,\infty) attraverso opportuni campi vettoriali. Di seguito, nel contesto metrico doubling con disuguaglianza di Poincaré, si danno nuove formule di integrazione per parti utilizzando campi a "divergenza-misura" per trattare poi il problema delle tracce delle funzioni BV. Si confronta la teoria delle "rough traces" (riadattata al presente setting, cfr. V. Maz'ya) con l'operatore di traccia definito mediante punti di Lebesgue, trovando le condizioni in cui le due caratterizzazioni coincidono.
This thesis offers a survey on the theory of Sobolev and BV functions in the setting of metric measure spaces. We compare different characterizations of such spaces in order to emphasize their relationships along with the conditions which ensure the equivalence of the definitions. Then, we discuss the differential structure introduced by N. Gigli in a paper of 2014 to give a new definition of BV functions in the RCD(K,\infty) setting, making use of suitable vector fileds. Later, in the metric doubling setting with Poincaré inequality, we give new integration by parts formulæ via "divergence-measure" vector fields to attack the issue of traces of BV functions. We compare the theory of "rough traces" (re-adapted to the present setting, cfr. V. Maz'ya) with the trace operator defined via Lebesgue points, finding the conditions under which the two characterizations coincide.
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CAMFIELD, CHRISTOPHER SCOTT. "Comparison of BV Norms in Weighted Euclidean Spaces and Metric Measure Spaces." University of Cincinnati / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1211551579.

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Tonon, Daniela. "Regularity results for Hamilton-Jacobi equations." Doctoral thesis, SISSA, 2011. http://hdl.handle.net/20.500.11767/4210.

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Soneji, Parth. "Lower semicontinuity and relaxation in BV of integrals with superlinear growth." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:c7174516-588e-46ae-93dc-56d4a95f1e6f.

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Amato, Stefano. "Some results on anisotropic mean curvature and other phase transition models." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4859.

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The present thesis is divided into three parts. In the first part, we analyze a suitable regularization — which we call nonlinear multidomain model — of the motion of a hypersurface under smooth anisotropic mean curvature flow. The second part of the thesis deals with crystalline mean curvature of facets of a solid set of R^3 . Finally, in the third part we study a phase-transition model for Plateau’s type problems based on the theory of coverings and of BV functions.
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Ferreira, Rita Alexandra Gonçalves. "Spectral and homogenization problems." Doctoral thesis, Faculdade de Ciências e Tecnologia, 2011. http://hdl.handle.net/10362/7856.

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Dissertation for the Degree of Doctor of Philosophy in Mathematics
Fundação para a Ciência e a Tecnologia through the Carnegie Mellon | Portugal Program under Grant SFRH/BD/35695/2007, the Financiamento Base 20010 ISFL–1–297, PTDC/MAT/109973/2009 and UTA
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MENEGATTI, GIORGIO. "Sobolev classes and bounded variation functions on domains of Wiener spaces, and applications." Doctoral thesis, Università degli studi di Ferrara, 2018. http://hdl.handle.net/11392/2488305.

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The main thread of this work is the bounded variation (BV) functions in abstract Wiener spaces (a topic in infinite-dimensional analysis). In the first Part of this work, we present some known results, and we introduce the concepts of Wiener space, of Sobolev space in Wiener spaces, of BV functions (and finite perimeter sets) in Wiener spaces, and of BV functions in convex sets of Wiener spaces (by following the definition in V. I. Bogachev, A. Y. Pilipenko, A. V. Shaposhnikov, “Sobolev Functions on Infinite-dimensional domains”, J. Math. Anal. Appl., 2014); moreover, we introduce the trace theory on subsets of a Wiener space (by following P. Celada, A. Lunardi, “Traces of Sobolev functions on regular surfaces in infinite dimensions”, J. Funct. Anal., 2014), and the concept of Mosco convergence. In the second Part we present some new results. In Chapter 6, we consider a subset O of a Wiener space which satisfies a regularity condition, and we prove that a function in W^{1,2}(O) has null trace if and only if it is the limit of a sequence of functions with support contained in O. The main chapter is Chapter 7, which is devoted to the extension in the Wiener spaces setting of a result given in the section 8 of (V. Barbu, M. Röckner, “Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise”, Arch. Ration. Mech. Anal., 2013): if O is a convex bounded set with regular boundary in R^{d} and L is the Laplace operator in O with null Dirichlet boundary condition, then the normalized resolvent of L is contractive in sense L^1 respect to the gradient. We extend this result to the case of L Ornstein-Uhlenbeck operator in O with null Dirichlet boundary condition, with Gaussian measure (by using the results of Chapter 6): in this case O must satisfy a condition (which we call Gaussian convexity) which takes the place of the convexity in the Gaussian setting. Moreover, we extend the result also to the case of: L Laplace operator in an open convex O with null Neumann boundary condition, with Lebesgue measure; L Ornstein-Uhlenbeck operator in an open convex O with null Neumann boundary condition, with Gaussian measure. In the last part of Chapter 7, we use the preceding results to give an alternative definition of BV function (in the case L^2(O)). In Chapter 8, let X the set of continuous functions on [0,1] with starting point 0, provided with the measure induced by the Brownian motion with starting point 0; it is a Wiener space. For every A subset of X, we define Ξ_A, set of functions in X with image in A. In (M. Hino, H. Uchida, “Reflecting Ornstein–Uhlenbeck processes on pinned path spaces”, Res. Inst. Math. Sci. (RIMS), 2008) it is proved that, if d ≥ 2 and A is an open subset of R^d which satisfies an uniform outer ball condition then Ξ_A has finite perimeter in the sense of Gaussian measure. We present a weaker condition on A (in dimension sufficiently great) such that Ξ_A has finite perimeter: in particular, A can be the complement of a convex unbounded symmetric cone.
L’argomento principale di questo lavoro sono le funzioni a variazione limitata (BV) in spazi di Wiener astratti (un argomento di analisi infinito-dimensionale). Nella prima parte di questo lavoro, presentiamo alcuni risultati noti, e introduciamo i concetti di spazi di Wiener, di classi di Sobolev su spazi di Wiener, di funzioni BV (e insiemi di perimetro finito) in spazi di Wiener, e di funzioni BV in sottoinsiemi convessi di Spazi di Wiener (seguendo la definizione in V. I. Bogachev, A. Y. Pilipenko, A. V. Shaposhnikov, “Sobolev Functions on Infinite-dimensional domains”, J. Math. Anal. Appl., 2014); inoltre, introduciamo la teoria delle tracce su sottoinsiemi di uno spazio di Wiener( seguendo P. Celada, A. Lunardi, “Traces of Sobolev functions on regular surfaces in infinite dimensions”, J. Funct. Anal., 2014), e il concetto di convergenza di Mosco. Nella seconda parte presentiamo alcuni risultati originali. Nel capitolo 6, consideriamo un sottoinsieme O di uno spazio di Wiener che soddisfa a una condizione di regolarità, e proviamo che una funzione in W^{1,2} (O) ha traccia nulla se e solo se è il limite di una sequenza di funzioni con supporto contenuto in O. Il capitolo principale è il 7, che è dedicato all'estensione all'ambito degli spazi di Wiener di un risultato dato nella sezione 8 di (V. Barbu, M. Röckner, “Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise”, Arch. Ration. Mech. Anal., 2013): se O è un insieme convesso limitato con frontiera regolare in R^{d} e L è l'operatore di Laplace in O con condizione al bordo di Dirichlet nulla, allora il risolvente normalizzato di L è contrattivo nel senso L^1 rispetto al gradiente. Estendiamo questo risultato al caso di L operatore di Ornstein-Uhlenbeck in O con condizione al bordo di Dirichlet nulla, con misura gaussiana (usando i risultati del Capitolo 6): in questo caso O deve soddisfare una condizione (che chiamiamo convessità Gaussiana) che nel caso gaussiano prende il posto della convessità. Inoltre, estendiamo il risultato anche al caso di: L operatore di Laplace in un insieme aperto e convesso O con condizione al bordo di Neumann nulla, con misura di Lebesgue; L operatore in un insieme aperto e convesso O con condizione al bordo di Neumann nulla, con misura gaussiana. Nell'ultima parte del Capitolo 7, usiamo i precedenti risultati per dare una definizione alternativa di funzione BV in O (nel caso L^2(O) ). Nel Capitolo 8, sia X l'insieme delle funzioni continue in R^d su [ 0,1 ] con punti di partenza nell’origine fornito della misura indotta dal moto browniano con punto di partenza nell’origine; è uno spazio di Wiener. Per ogni A sottoinsieme di X, definiamo Ξ_A, insieme delle funzioni in X con immagine in A. In (M. Hino, H. Uchida, “Reflecting Ornstein–Uhlenbeck processes on pinned path spaces”, Res. Inst. Math. Sci. (RIMS), 2008) viene dimostrato che, se d ≥ 2 e A è un insieme aperto in R^d che soddisfa una condizione di uniforme palla esterna, allora Ξ_A ha perimetro finito nel senso della misura gaussiana. Presentiamo una condizione più debole su A (in dimensione sufficientemente grande) tale che Ξ_A ha perimetro finito: in particolare, A può essere il complementare di un cono convesso illimitato simmetrico.
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Morini, Massimiliano. "Free-discontinuity problems: calibration and approximation of solutions." Doctoral thesis, SISSA, 2001. http://hdl.handle.net/20.500.11767/3923.

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Goncalves-Ferreira, Rita Alexandria. "Spectral and Homogenization Problems." Research Showcase @ CMU, 2011. http://repository.cmu.edu/dissertations/83.

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In this dissertation we will address two types of homogenization problems. The first one is a spectral problem in the realm of lower dimensional theories, whose physical motivation is the study of waves propagation in a domain of very small thickness and where it is introduced a very thin net of heterogeneities. Precisely, we consider an elliptic operator with "ε-periodic coefficients and the corresponding Dirichlet spectral problem in a three-dimensional bounded domain of small thickness δ. We study the asymptotic behavior of the spectrum as ε and δ tend to zero. This asymptotic behavior depends crucially on whether ε and δ are of the same order (δ ≈ ε), or ε is of order smaller than that of δ (δ = ετ , τ < 1), or ε is of order greater than that of δ (δ = ετ , τ > 1). We consider all three cases. The second problem concerns the study of multiscale homogenization problems with linear growth, aimed at the identification of effective energies for composite materials in the presence of fracture or cracks. Precisely, we characterize (n+1)-scale limit pairs (u,U) of sequences {(uεLN⌊Ω,Duε⌊Ω)}ε>0 ⊂ M(Ω;ℝd) × M(Ω;ℝd×N) whenever {uε}ε>0 is a bounded sequence in BV (Ω;ℝd). Using this characterization, we study the asymptotic behavior of periodically oscillating functionals with linear growth, defined in the space BV of functions of bounded variation and described by n ∈ ℕ microscales
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Books on the topic "BV functions"

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Cheverry, Christophe. Systèmes de lois de conservation et stabilité BV. [Paris, France]: Société mathématique de France, 1998.

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Giuseppe, Buttazzo, and Michaille Gérard, eds. Variational analysis in Sobolev and BV spaces: Applications to PDEs and optimization. Philadelphia: Society for Industrial and Applied Mathematics, 2005.

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Attouch, Hedy, Giuseppe Buttazzo, and Gérard Michaille. Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization, Second Edition. SIAM-Society for Industrial and Applied Mathematics, 2014.

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Macdonald, Elizabeth, and Ruth Atkins. Koffman & Macdonald's Law of Contract. Oxford University Press, 2018. http://dx.doi.org/10.1093/he/9780198752844.001.0001.

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Koffman & Macdonald’s Law of Contract provides a clear, academically rigorous, account of the contract law which is written in a style which makes it highly accessible to university students new to legal study. It works from extensive consideration of the significant cases, to provide students with a firm grounding in the way the common law functions. There are chapters on formation, certainty, consideration, promissory estoppel, intention to create legal relations, express and implied terms, classification of terms, the Unfair Contract Terms Act 1977, Unfair Terms in Consumer Contracts, mistake, misrepresentation, duress and undue influence, illegality, unconscionability, privity, performance and breach, frustration, damages, and specific enforcement, as well as companion website chapters on capacity and an outline of the law of restitution. Many new cases and legislative developments are covered in the ninth edition, such as Armchair Answercall Ltd v People in Mind Ltd, Blue v Ashley, Cavendish Square Holding BV v Talal El Makdessi, ParkingEye Ltd v Beavis,Globalia Business Travel S.A.U. (formerly TravelPlan S.A.U.) of Spain v Fulton Shipping Inc of Panama, Marks and Spencer plc v BNP Paribas Securities Services Trust Company (Jersey) Ltd,MWB Business Exchange Centres Ltd v Rock Advertising Ltd, Patel v Mirza, Phones 4U Ltd (In Administration) v EE Ltd. This edition has been updated to include major legislative developments including the Consumer Rights Act 2015, which now encompasses, and makes some changes to, the unfair terms regime, which was previously provided by the Unfair Terms in Consumer Contracts Regulations 1999, as well as removing, and taking on board, the consumer elements of the Unfair Contract Terms Act 1977.
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Book chapters on the topic "BV functions"

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Kannan, R., and Carole King Krueger. "Spaces of BV and AC Functions." In Universitext, 216–45. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4613-8474-8_10.

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Bressan, Alberto, and Marta Lewicka. "Shift Differentials of Maps in BV Spaces." In Nonlinear Theory of Generalized Functions, 47–61. Boca Raton: Routledge, 2022. http://dx.doi.org/10.1201/9780203745458-5.

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Telcs, András, and Vincenzo Vespri. "A Quantitative Lusin Theorem for Functions in BV." In Geometric Methods in PDE’s, 81–87. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-02666-4_4.

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Burago, Yuri, and Nikolay N. Kosovsky. "Boundary Trace for BV Functions in Regions with Irregular Boundary." In Analysis, Partial Differential Equations and Applications, 1–13. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-9898-9_2.

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Shanmugalingam, Nageswari. "Brief Survey on Functions of Bounded Variation (BV) in Metric Setting." In Lecture Notes in Mathematics, 277–303. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-84141-6_5.

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Marigonda, Antonio, Khai T. Nguyen, and Davide Vittone. "BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions." In Large-Scale Scientific Computing, 116–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-43880-0_12.

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Wunderli, Thomas. "On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual $$ H^{1}$$ Penalty Model for Image Restoration." In Springer Proceedings in Mathematics & Statistics, 241–59. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46310-0_15.

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Cianchi, Andrea, and Nicola Fusco. "Symmetrization and Functionals Defined on BV." In Variational Methods for Discontinuous Structures, 91–102. Basel: Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8193-7_7.

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Burger, Martin, Konstantinos Papafitsoros, Evangelos Papoutsellis, and Carola-Bibiane Schönlieb. "Infimal Convolution Regularisation Functionals of $$\mathrm {BV}$$ and $$\mathrm {L}^{p}$$ Spaces. The Case $$p=\infty $$." In IFIP Advances in Information and Communication Technology, 169–79. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-55795-3_15.

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"BV Functions." In The Divergence Theorem and Sets of Finite Perimeter, 73–119. Taylor & Francis Group, 6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487-2742: CRC Press, 2012. http://dx.doi.org/10.1201/b11919-8.

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Conference papers on the topic "BV functions"

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Zhang, Tao, Qibin Fan, and Hong Shu. "Approximation of BV Function by Piecewise Constants and its Application in Signal Denoising and Compression." In 2009 2nd International Congress on Image and Signal Processing (CISP). IEEE, 2009. http://dx.doi.org/10.1109/cisp.2009.5304646.

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Jiang, Shuai, Fu Chen, Jianyang Yu, Shaowen Chen, and Yanping Song. "Study on Leakage Loss Control Method of Circumferential Bending Clearance." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90199.

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Abstract The concept of circumferential bending clearance based on Gauss Bimodal Function is proposed to suppress tip leakage flow (TLF) in a highly-loaded turbine cascade. In this method, a new vortex (BV) can be induced to mix with TLV in the middle of tip region and block the development of tip leakage vortex (TLV). Since the blocking effect divides the TLV into two parts, the tip leakage rate and loss of TLF can be reduced significantly. In order to reveal the mechanisms of blocking effect on leakage flow and its influencing factors, the research numerically investigates the effects of environmental conditions on the TLF development in a turbine cascade. The flow field analysis of the optimal bending clearance is in the first place, and then the effects of clearance heights (δ) and incidence angles (α) on the TLF characteristic and loss are investigated respectively. Results indicate that the blocking effect has a close relationship with the TLF characteristic, which can be divided into the BV migration, TLV-2 location and blocking loss. The nearer distance to the leading edge (LE) and farther distance to the suction side (SS) of BV means a less loss of TLF in bending clearance cases. The further distance away from blade tip and SS of TLV-2 means a larger-scale vortex with more loss. The additional loss in blocking region expands constantly with the increase of clearance height and incidence angle. The bending clearance has limited control effect on TLF with the variation of clearance height, especially the loss increases in Case 2%H. However, it has a strong adaptability with the change of incidence angle, the relative total pressure loss drops up to 16% in Case −5°.
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Wachtfogel, Yanina T., Yizhar Floman, Meir Liebergall, Robert W. Colman, and Amiram Eldor. "PLATELET ALPHA2-ADRENERGIC RECEPTOR ABNORMALITIES IN PATIENTS WITH IDIOPATHK: SCOLIOSIS." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1644567.

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Idiopathic scoliosis is a genetic multisystem disease involving skeletal, biochemical, central nervous svstem, muscle and blood platelet abnormalities. Platelets of patients with idiopathic scoliosis have been shown to have decreased adenosine diphosphate and epinephrine-induced aggregation. Similarities between the contractile protein system of platelets and muscle have made the platelet a popular model for certain aspects of muscle physiology. This study confirmed that 64% of the patient platelets tested exhibited a significantly decreased sensitivity to aggregation bv epinephrine. In seven of the eleven patients studied, epinephrine induced aggregation was markedly decreased, i.e., the threshold of agonist was markedly elevated ≥11 uM). The geometric mean concentration of epinephrine required to produce complete second-wave aggregation in idiopathic scoliosis patients was 8μM. as compared to a control concentration of luM. We therefore examined the platelet alpha2-adrenergic receptors of 17 patients with idiopathic scoliosis bv measuring ligand binding using the selective antagonist, methyl yohimbine. Platelets from healthv individuals had 185 ± 16 sites per platelet with a Kd of 1.90 ± 0.32 nM, while patients with idiopathic scoliosis had 54 ± 22 sites per platelet with a of 1.02 ± 0.03 nM. The number of binding sites per platelet in idiopathic scoliosis patients were significantly decreased (p < 0.05) as compared to controls , while the was not significantly different (p > 0.05) between the two groups. Seven of these patients exhibited a significant decrease (p < 0.05) in the number of alpha2-adrenergic receptors on their platelets while the binding in 7 additional patients was undetectable.Three patients exhibited normal receptor number and affinity as compared to normal individuals. This study indicates a profound alteration in the number and function of the alpha2-adrenergic receptors in platelets of patients with idiopathic scoliosis and indicates the functional heterogeneity of the receptor disorder. Further investigation of platelet abnormalities may give insight into the putative muscle defects.
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Maurin, N. "STRUCTURE-RELATED DIFFERENCES IN ACTION BETWEEN PROSTACYCLIN (PGI2.J, VARIOUS STABLE PGI2 ANALOGUES AND PROSTAGLANDIN E. (PGE1)." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643455.

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PGI2 and PGE. have various effects in common: they inhibit pi at let aggregation (PA), improve erythrocyte fluidity, and produce vasodilation. A problem with PGI2 is the combination of PA inhibition with vasodilation and the resultant, usually undesired, hypotension. The aims of this study were firstly to check the action of various prostanoids on thrombocyte function and erythrocyte fluidity and secondly to investigate whether the development of stable PGI2 analogues makes it possible to separate the structure related PGI effects. We tested PGI2 (Upjohn Co., USA), the stable oxacyclic PGI2 analogue CG 4203 and the stable carbacyclic PGI0 analogue CG 4305 (both Gruenenthal GmbH, FRG), the stable carbacyclic PGI2 analogue Iloprost (Schering AG, FRG) and PGE. (Sanol Schwarz GmbH, FRG). In vitro measurements were made in blood from 15 healthy volunteers. Thrombocyte activity was assessed by PA after stimulation with ADP (1 pmol/1) and by pseudopod formation. Erythrocyte fluidity was determined by the micropore filtration method. 50% inhibition of the ADP-induced PA occurred at the following concentrations: PGI 10 nmol/1, CG 4203 50 nmol/1, CG 4305 75 nmol/1, Iloprost 4 nmol/1, PGE 50 nmol/1; 50% inhibition of pseudopod formation: PGI2 1 nmol/1, CG 4203 75 nmol/1, CG 4305 75 nmol/1, 2 Iloprost 1 nmol/1, PGE. 10 nmol/1. The substantial variation in PA inhibition potency is conspicuous. Also, each single substance has effects of different strength on the two thrombocyte function parameters here tested. On contrast to the other substances here tested, which siqnificantly improve erythrocyte fluidity to an extent depending on concentration, CG 4203 and CG 4305 have no such effect. It should therefore be possible still better to separate desired from undesired PGI actions bv making further structural modifications.
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5

Grosu, Vlad teodor, Tatiana Dobrescu, and Emilia Grosu. "GENERAL AND HAND-EYES COORDINATION IN MENTAL TRAINING OF ALPINE SKIERS." In eLSE 2016. Carol I National Defence University Publishing House, 2016. http://dx.doi.org/10.12753/2066-026x-16-231.

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Abstract The aims of this study was: 1. to assess the influence of mental training on manual focused attention and manual response; 2. we analyzed the influence of mental training on the increase in motor coordonation and reactivity influenced, all in certain athletes (skiers). Problem Statement The samples of subjects tested are aged 12 and 16. The athletes who participated in this study are part of ski groups within School sports clubs. The experimental group comprises athletes from Gheorgheni (HR), Baia-Sprie (MM), while the control group includes of athletes from Topli?a (HR), Sibiu (SB), Predeal (BV) and Sinaia (PH). These tests we conducted our research in the application of mental training techniques in the experimental group and comparing them with the control group. Purpose of Study through this study we analyze the influence of mental training on: 1. the increase of concentration of attention and response to skiers manual; 2. increase motor coordination and reactivity. It is known that in alpine skiing the hit action of pennant is very important. Methods We used a device called: System for evaluation in transport and work psychology, version 04/2007, made by Professor H?v?rneanu C. (2007). According to integrated functional blocks, the proposed methodologic nucleus allows to obtain indices of informational, execution and self-regulation capacity, markers of behavior. We applied 2 tests: ACRM (concentrated attention with manual reaction), which provides information on the ability to pay attention in activities with required pace and dynamic field observations specific to alpine skiing. The other test applied was CMR (motor coordination and reactivity), which provides information on the ability of motor coordination - the adequacy and synchronizing of movements, speed and accuracy of complex reactions, motor learning, emotional balance - self-regulation, specific to alpine skiing. Findings and Results was performed using SPSS 15.0. For the comparison of means between groups of subjects we applied ANOVA and Post Hoc test. Correlation between variables was performed by Pearson correlation coefficient (r). The charts are made with the method Box plot showing: minimum and maximum value; median, percentiles 75 and 25; extreme scores. Testing for the hand-eye coordination capacity of skiers from mountain ski, by applying ACRM test (focused attention with manual reaction), hand-eye coordination. Indices measured with this test: VP - perception speed=number of omissions, EP- perception accuracy= number of errors, EX- focused attention Testing for motor coordination capacity and skiers of mountain ski reactivity, mental control of fatigue, using the test CRM. Indices measured with the test: IM- motor learning, CMC- movement coordination, ER- reaction accuracy, RR- reaction speed, CMD- movement coordination- dissociate movement synchronization, CMS- movement coordination- associate-dissociate movement synchronization, AR- self-regulation (tested in the beginning and end for both groups). Conclusions and Recommendations The comparative analysis of test scores applied to the studied groups and statistical significance we can say that by applying mental training improves outcome in focus and manual reaction in the experimental group. These results in turn causes increased athletic performance, as can be seen analyze competitions in January 2015, in the groups studied.
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