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15 results on '"Dirk Hennig"'

1. Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations

Author

Dirk Hennig

Subjects
Mathematics, QA1-939
Abstract

The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schrödinger equation (DNLS) on one-dimensional lattices is proved. The DNLS features a general nonlinear term and variable range of interactions going beyond the usual nearest-neighbour interaction. The problem of the existence of travelling wave solutions is converted into a fixed point problem for an operator on some appropriate function space which is solved by means of Schauder’s Fixed Point Theorem.

Published
2017
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2. Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤd, d ≥ 1

Author

Dirk Hennig and Nikos I. Karachalios

Subjects
General Mathematics
Abstract

We prove the existence of exponentially and superexponentially localized breather solutions for discrete nonlinear Klein–Gordon systems. Our approach considers $d$-dimensional infinite lattice models with general on-site potentials and interaction potentials being bounded by an arbitrary power law, as well as, systems with purely anharmonic forces, cases which are much less studied particularly in a higher-dimensional set-up. The existence problem is formulated in terms of a fixed-point equation considered in weighted sequence spaces, which is solved by means of Schauder's Fixed-Point Theorem. The proofs provide energy bounds for the solutions depending on the lattice parameters and its dimension under physically relevant non-resonance conditions.

Published
2022

3. Periodic and compacton travelling wave solutions of discrete nonlinear Klein-Gordon lattices

Author

Nikos I. Karachalios and Dirk Hennig

Abstract

We prove the existence of periodic travelling wave solutions for general discrete nonlinear Klein-Gordon systems, considering both cases of hard and soft on-site potentials. In the case of hard on-site potentials we implement a fixed point theory approach, combining Schauder’s fixed point theorem and the contraction mapping principle. This approach enables us to identify a ring in the energy space for non-trivial solutions to exist, energy (norm) thresholds for their existence and upper bounds on their velocity. In the case of soft on-site potentials, the proof of existence of periodic travelling wave solutions is facilitated by a variational approach based on the Mountain Pass Theorem. The proof of the existence of travelling wave solutions satisfying Dirichlet boundary conditions establishes rigorously the presence of compactons in discrete nonlinear Klein-Gordon chains. Thresholds on the averaged kinetic energy for these solutions to exist are also derived.

Published
2022

4. The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation

Author

Dirk Hennig, Nikos I. Karachalios, Jesús Cuevas-Maraver, Universidad de Sevilla. Departamento de Física Aplicada I, and Universidad de Sevilla. FQM280: Física no Lineal

Subjects
Nonlinear Sciences::Exactly Solvable and Integrable Systems, Applied Mathematics, Analysis
Abstract

While the Ablowitz-Ladik lattice is integrable, the Discrete Nonlinear Schrödinger equation, which is more significant for physical applications, is not. We prove closeness of the solutions of both systems in the sense of a “continuous dependence” on their initial data in the and metrics. The most striking relevance of the analytical results is that small amplitude solutions of the Ablowitz-Ladik system persist in the Discrete Nonlinear Schrödinger one. It is shown that the closeness results are also valid in higher dimensional lattices, as well as, for generalised nonlinearities. For illustration of the applicability of the approach, a brief numerical study is included, showing that when the 1-soliton solution of the Ablowitz-Ladik system is initiated in the Discrete Nonlinear Schrödinger system with cubic or saturable nonlinearity, it persists for long-times. Thereby, excellent agreement of the numerical findings with the theoretical predictions is obtained. Regional Government of Andalusia and EU (FEDER program) project P18-RT-3480 Regional Government of Andalusia and EU (FEDER program) project US-1380977 MICINN, AEI and EU (FEDER program) project PID2019-110430GB-C21 MICINN, AEI and EU (FEDER program) project PID2020-112620GB-I00

Published
2022

5. Existence and congruence of global attractors for damped and forced integrable and nonintegrable discrete nonlinear Schr\'odinger equations

Author

Dirk Hennig

Subjects
Integrable system, Mathematical analysis, Banach space, FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Pattern Formation and Solitons, Schrödinger equation, Nonlinear system, symbols.namesake, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Mathematics - Analysis of PDEs, Bounded function, Attractor, FOS: Mathematics, symbols, Initial value problem, Congruence (manifolds), Nonlinear Sciences::Pattern Formation and Solitons, Analysis, Analysis of PDEs (math.AP), Mathematics
Abstract

We study two damped and forced discrete nonlinear Schr\"odinger equations on the one-dimensional infinite lattice. Without damping and forcing they are represented by the integrable Ablowitz-Ladik equation (AL) featuring non-local cubic nonlinear terms, and its standard (nonintegrable) counterpart with local cubic nonlinear terms (DNLS). The global existence of a unique solution to the initial value problem for both, the damped and forced AL and DNLS, is proven. It is further shown that for sufficiently close initial data, their corresponding solutions stay close for all times. Concerning the asymptotic behaviour of the solutions to the damped and forced AL and DNLS, for the former a sufficient condition for the existence of a restricted global attractor is established while it is shown that the latter possesses a global attractor. Finally, we prove the congruence of the restricted global AL attractor and the DNLS attractor for dynamics ensuing from initial data contained in an appropriate bounded subset in a Banach space.

Published
2021

6. The closeness of localised structures between the Ablowitz-Ladik lattice and Discrete Nonlinear Schrödinger equations II: Generalised AL and DNLS systems

Author

Dirk Hennig, Nikos I. Karachalios, Jesús Cuevas-Maraver, Universidad de Sevilla. Departamento de Física Aplicada I, Universidad de Sevilla. FQM280: Física no Lineal, EU (FEDER program 2014-2020) and Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía P18-RT-3480, EU (FEDER program 2014-2020) and Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía US-1380977, MICINN and AEI PID2019-110430GB-C21, and MICINN and AEI PID2020-112620GB-I00

Subjects
Nonlinear Sciences::Exactly Solvable and Integrable Systems, FOS: Physical sciences, Statistical and Nonlinear Physics, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Pattern Formation and Solitons, Nonlinear Sciences::Pattern Formation and Solitons, Mathematical Physics
Abstract

The Ablowitz-Ladik system, being one of the few integrable nonlinear lattices, admits a wide class of analytical solutions, ranging from exact spatially localised solitons to rational solutions in the form of the spatiotemporally localised discrete Peregrine soliton. Proving a closeness result between the solutions of the Ablowitz-Ladik and a wide class of Discrete Nonlinear Schr\"odinger systems in a sense of a continuous dependence on their initial data, we establish that such small amplitude waveforms may be supported in the nonintegrable lattices, for significant large times. The nonintegrable systems exhibiting such behavior include a generalisation of the Ablowitz-Ladik system with a power-law nonlinearity and the Discrete Nonlinear Schr\"odinger with power-law and saturable nonlinearities. The outcome of numerical simulations illustrates in an excellent agreement with the analytical results the persistence of small amplitude Ablowitz-Ladik analytical solutions in all the nonintegrable systems considered in this work, with the most striking example being that of the Peregine soliton., Comment: arXiv admin note: text overlap with arXiv:2102.05332

Published
2021
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8. Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials

Author

Dirk Hennig

Subjects
Time periodic, Function space, Applied Mathematics, Operator (physics), Mathematical analysis, Regular polygon, Fixed-point theorem, FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Dynamical Systems (math.DS), Fixed point equation, Nonlinear Sciences - Pattern Formation and Solitons, Nonlinear system, symbols.namesake, Modeling and Simulation, symbols, FOS: Mathematics, Geometry and Topology, Mathematics - Dynamical Systems, Klein–Gordon equation, Mathematics
Abstract

The existence of nonzero localised periodic solutions for general one-dimensional discrete nonlinear Klein–Gordon systems with convex on-site potentials is proved. The existence problem of localised solutions is expressed in terms of a fixed point equation for an operator on some appropriate function space which is solved by means of Schauder’s Fixed Point Theorem.

Published
2020

9. Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence

Author

Dirk Hennig and Nikos I. Karachalios

Subjects
Applied Mathematics, FOS: Physical sciences, Dynamical Systems (math.DS), Pattern Formation and Solitons (nlin.PS), Lattice (discrete subgroup), Nonlinear Sciences - Pattern Formation and Solitons, Domain (mathematical analysis), Nonlinear system, Mathematics - Analysis of PDEs, Attractor, Metric (mathematics), FOS: Mathematics, Dissipative system, Congruence (manifolds), Applied mathematics, Mathematics - Dynamical Systems, Analysis, Analysis of PDEs (math.AP), Mathematics, Parametric statistics
Abstract

Discrete Ginzburg-Landau (DGL) equations with non-local nonlinearities have been established as significant inherently discrete models in numerous physical contexts, similar to their counterparts with local nonlinear terms. We study two prototypical examples of non-local and local DGLs on the one-dimensional infinite lattice. For the non-local DGL, we identify distinct scenarios for the asymptotic behavior of the globally existing in time solutions depending on certain parametric regimes. One of these scenarios is associated with a restricted compact attractor according to J. K. Hale's definition. We also prove the closeness of the solutions of the two models in the sense of a "continuous dependence on their initial data" in the $l^2$ metric under general conditions on the intrinsic linear gain or loss incorporated in the model. As a consequence of the closeness results, in the dissipative regime we establish the congruence of the attractors possessed by the semiflows of the non-local and of the local model respectively, for initial conditions in a suitable domain of attraction defined by the non-local system., Comment: 18 pages, 1 figure. To appear in Nonlinear Analysis (2022)

Published
2022

10. Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach

Author

Dirk Hennig and Nikos I. Karachalios

Subjects
Mathematics - Analysis of PDEs, FOS: Mathematics, FOS: Physical sciences, Statistical and Nonlinear Physics, Pattern Formation and Solitons (nlin.PS), 37K60, 37K40, 47H10, Nonlinear Sciences - Pattern Formation and Solitons, Mathematical Physics, Analysis of PDEs (math.AP)
Abstract

The problem of showing the existence of localised modes in nonlinear lattices has attracted considerable efforts from the physical but also from the mathematical viewpoint where a rich variety of methods has been employed. In this paper we prove that a fixed point theory approach based on the celebrated Schauder's Fixed Point Theorem may provide a general method to establish concisely not only the existence of localised structures but also a required rate of spatial localisation. As a case study we consider lattices of coupled particles with nonlinear nearest neighbour interaction and prove the existence of exponentially spatially localised breathers exhibiting either even-parity or odd-parity symmetry under necessary non-resonant conditions accompanied with the proof of energy bounds of the solutions., Comment: 12 pages. To appear in Journal of Mathematical Physics

Published
2021

11. Investing in German Real Estate : A Practical Guide

Author

Florian Hackelberg, Dirk Hennig, Florian Hackelberg, and Dirk Hennig

Subjects
Real property--Germany, Real estate business--Germany, Real estate investment--Germany
Abstract

Investing in one of the most promising real estate markets in Europe offers enormous opportunities. And as with every real estate market, in Germany too, the local framework conditions must be understood and their particularities must be adequately taken into account. The authors are renowned senior executives, real estate advisors and academics, who share here their extensive experience and real life insights from countless real estate investments, covering all aspects of a successful investment process in Germany. Includes: markets, the regulatory framework and investment guidelines. Contents: - Essentials for successful real estate investments in Germany - Macro-economic structure and dynamics of the German real estate market - Real estate investment, trends and strategies - Diverse submarkets: residential, offices, retail, hotel and nursing homes - Real estate legal, tax and audit frameworks - German REITS and ESG in real estate investments - Real estate M&A, financing, due diligence and valuations

Published
2021

12. Ticagrelor in patients with diabetes and stable coronary artery disease with a history of previous percutaneous coronary intervention (THEMIS-PCI): a phase 3, placebo-controlled, randomised trial

Author

Deepak L Bhatt, Philippe Gabriel Steg, Shamir R Mehta, Lawrence A Leiter, Tabassome Simon, Kim Fox, Claes Held, Marielle Andersson, Anders Himmelmann, Wilhelm Ridderstråle, Jersey Chen, Yang Song, Rafael Diaz, Shinya Goto, Stefan K James, Kausik K Ray, Alexander N Parkhomenko, Mikhail N Kosiborod, Darren K McGuire, Robert A Harrington, Vladimir Santos, Ashit Jain, Irina Lendel, Michael Russo, W H Haught, Manuel Bouza, Harinder Gogia, Supratim Banerjee, George Kichura, Louis Kantaros, Francisco Padron, Rakesh Passi, Jay Stone, Michael Pursley, Michael D'Urso, Timothy Gardner, James Bennett, Khaled Nour, Satinder Saini, Wenwu Zhang, Dharam Kumbhani, Dustin Thomas, Dominick Angiolillo, Barry Bertolet, Amaury Roman-Miranda, Robert Black, Ramin Manshadi, Carlos Vaca, Antonio Blanco, Mark Napoli, David Brabham, Ayim Akyea-Djamson, Pratik Desai, Sudhir Prasada, Ajit Khaira, Leslie Forgosh, Ira Lieber, Guillermo Umpierrez, Dinesh Singal, Juan Londono, Neil Fraser, Jose Ruiz, Damaris Vega, Lilia Rodriguez, Christopher Brown, Faizullah Syed, Guarav Aggarwala, William Eaves, Michael Foster, Dinesh Gupta, David Avino, Wail Asfour, Glen Tonnessen, Xue-Qiao Zhao, Narendra Singh, Andrew Brockmyre, Norman Lepor, Nicolas Shammas, David Blick, Steven Hearne, John Prodafikas, Edgar Carell, Mark Izzo, Amin Karim, Bosh Zakhary, Mahmoud Atieh, Steven Leichter, Charles Meadows, David Hotchkiss, Mazen Abu-Fadel, Alan Wiseman, Jeffrey Bander, Mahesh Shah, Subhash Banerjee, Ricky Ganim, Karen Sopko, Misal Khan, Ramon Lloret, Troy Weirick, Rajendra Mehta, Udho Thadani, Anuj Bhargava, Mikhail Kosiborod, Jaynier Moya, Cezar Staniloae, Yamirka D Guerra, Anil Chhabra, Douglas Kosmicki, Wassim Shaheen, Akber Mohammed, J'Cinda Bitters, Jan Pattanayak, Julian Javier, Sunny Srivastava, Roland Phillips, Jessie Al-Amin, Michael Lillestol, Patrick Simpson, Lydie Hazan, Amit Amin, Gopi Shah, Denes Korpas, Bruce Platt, Jim Dickert, Orlando Puente, Louis Hiotis, Timothy Doyle, Raj Rajan, Alan Meholick, Christian Gring, Elie Hage-Korban, Robert Feldman, Harry Colfer, Samuel Butman, Malcolm Foster, Terence Hart, Randall Huling, Shervin Eshaghian, Ofsman Quintana, Deanna Cheung, Franklin Handel, Mara Rodriguez, David Suh, Paul Gordon, Gregg Pressman, Michael Bauer, William French, Mark Barettella, Sridhar Chatrathi, Damodhar Suresh, Ronald Goldberg, Mark Huth, Liwa Younis, Aref Rahman, Richard Mascolo, Michelle Welch, Randeep Suneja, Stephen Smith, Scott Shurmur, John Agaiby, Ahmad Jingo, Janice Johnston, Mary Beth, Anthony Vlastaris, Susan Kemp, Hamid Taheri, Edward Pereira, Michael Deyoung, Zafir Hawa, Ray Smith, Thomas Galski, Samer Garas, M Reddy, Susheel Sharma, Joeseph Hargrove, Charles Treasure, Ronald Emerson, Tariq Haddad, Kathryn Rohr, Larry Levinson, Raul Gaona, Barry Uretsky, Hiralal Maheshwari, Denny Lee, Stephanie Kinnaman, Robert Singal, Jeffrey Geohas, Osvaldo Gigliotti, Ajit Raisinghani, Charanjit Khurana, Brent Hella, Michael Kelberman, Steven Voyce, Sanjay Singh, Eric Lo, Pradeep Singh, Ross Goodfellow, Stuart Fischer, Richard Lorraine, Traci Turner, Jeffrey Shanes, Robert Busch, Robert Broker, Michelle Zaniewski, Kevin Pounds, Giselle Debs-Perez, Stephen Ong, Brad Frandsen, Douglas Fullington, Naseem Jaffrani, Ahtaram Khan, Marcus Lee, Joe Pouzar, George Revtyak, Julian Gonzalez, Samer Nakhle, Abel Murillo, Douglas Young, Sashi Makam, Mushtaq Syed, Kevin Woolf, Paul Grena, Sarab Alfata, Sharan Mahal, David Hoffman, Tinoy Kizhakekuttu, Joseph Deering, Janak Bhavsar, Scott Mikesell, William Wilson, Vance Wilson, Salah El, Francis Spinale, Vinod Kannarkat, Sunder Rao, Lenita Hanson, John Bertsch, Elena Gonzalez-Ortiz, Norma Severino, John Willis, Joel Schock, Ladan Bakhtari, Raul Gazmuri, Saadat Ansari, Jason Hall, Arvind Mehta, Neal Shealy, Stuart Zarich, Deovrat Singh, Kishor Vora, Nabil Andrawis, Darron Molter, David Maron, Jose Cardona, Ronald D'Agostino, Tamjeed Arshad, Rodney Samaan, David Jones, Dale Presser, John Heath, Sandy Green, George Bittar, Sheldon Henry, David Korn, John Schmedtje, Venkatesh Nadar, Bruce Graham, Ajay Labroo, Leonardo Clavijo, Hal Roseman, Gilbert Ledesma, Robert Rosen, Isaac Dor, William Kirby, Jennefer Sutton, Frank Eder, Bruce Iteld, Jose Gomez-Cortes, Maurice Buchbinder, Joseph Kasper, Antonio Terrelonge, Gustavo Torres, Ted Jagielo, Jose Alvarez, Yehuda Handelsman, Mario Guillen, Randall Richwine, Lorena Lewy-Alterbaum, Clinton Corder, Moogali Arvind, David Bolshoun, Magdy Mikhail, Stephen Minton, Odilon Alvarado, J Abbott, Brett Cauthen, Ryan Welter, Randy Mintz, John Cox, Annette Quick, Melvin Weiss, Johnny Dy, James Zebrack, Glenn Gandelman, Vinayak Hegde, Marc Silver, Michele DeGregorio, William Lawson, Christopher Paa, Anna Bortnick, Merrill Krolick, Rodolfo Sotolongo, Jorge Cheirif, Priya Kumar, Preetham Jetty, Ambar Patel, Mariusz Kruk, Iwona Kobielusz-Gembala, Barbara Rewerska, Adam Madrzejewski, Krzysztof Milewski, Jerzy Cygler, Joanna Petryka-Mazurkiewicz, Waldemar Jastrzebski, Janusz Korecki, Wojciech Fil, Janusz Prokopczuk, Anna Bochenek, Marek Wujkowski, Robert Witek, Piotr Konczakowski, Pawel Miekus, Marcin Szczasny, Wlodzimierz Musial, Krzysztof Cymerman, Jacek Lampart, Jacek Mikosinski, Slawomir Szynal, Issa Fares, Grzegorz Opolski, Stanislaw Mazur, Beata Wozakowska-Kaplon, Renata Bijata-Bronisz, Lukasz Wierucki, Beata Losa, Grzegorz Drelich, Marek Konieczny, Pawel Starczewski, Lidia Pawlowicz, Pawel Jesionowski, Jaroslaw Jurowiecki, Jacek Gniot, Mariusz Czyzycki, Karol Stania, Izabela Kucharczyk-Bauman, Benita Busz-Papiez, Agnieszka Karczmarczyk, Wanda Sudnik, Alina Koszek, Piotr Kolodziej, Bartosz Skwarna, Nicolás Jaramillo, Maciej Jankowski, Wojciech Czochra, Leszek Kinasz, Beata Miklaszewicz, Teresa Stasinska, Wladyslaw Pluta, Marcin Basiak, Teresa Rusicka, Izabela Niedbal-Yahfouf, Grazyna Popenda, Romuald Korzeniak, Agnieszka Mirek, Rafal Mariankowski, Lukasz Wojnowski, Marek Korol, Jacek Baszak, Piotr Podolec, Wojciech Piesiewicz, Aleksander Zurakowski, Carlos Luengas, Marek Skura, Piotr Pilecki, Piotr Majchrzak, Ewa Krzyzagórska, Marcin Drozd, Barbara Kaczmarek, Teresa Sliwinska, Katarzyna Zelazowska, Rafal Sztembis, Katarzyna Landa, Lidia Matyszczak-Toniak, Krzysztof Strojek, Marek Piepiorka, Robert Malinowski, Maria Górska, Edyta Stolarczyk-Sowa, Leszek Romanowski, Elzbieta Zinka, Zygfryd Reszka, Joanna Skierkowska, Anna Uzunow, Ewa Laskowska-Derlaga, Ekaterina Puntus, Elena D Kosmacheva, Natalia Koziolova, Prokhor Pavlov, Tatiana Supryadkina, Yury Didenko, Philipp Kopylov, Andrei Kazakov, Sergei Aksentiev, Elena Vishneva, Alexey Repin, Olga Smolenskaya, Olga Mantserova, Oleg Khrustalev, Elena Privalova, Vladimir Konstantinov, Svetlana Boldueva, Andrey Ezhov, Alexander Chernyavsky, Gadel Kamalov, Albert Galyavich, Galina Zubeeva, Galina Nechaeva, Sergey Shustov, Nino Dzhaiani, Tatiana Treshkur, Nataliya Osokina, Alexey Panov, Elena Shutemova, Valeriy Makukhin, Tatiana Kropotina, Larisa Tsyba, Yuri Karpov, J M Sizova, Marina Ballyuzek, Nikolay Tarasov, Elena Demchenko, Olga Barbarash, Valentin Moiseev, Valentin Markov, Vadim Kuznetsov, Inna Viktorova, Igor Sergienko, Lyudmila Ermoshkina, Niyaz Khasanov, Tatiana Khlevchuk, Andrey Baglikov, Sergey Shalaev, Elena Zonova, Elena Reznik, Larisa Haisheva, Tatyana Morugova, Nikita Lomakin, Alexander Vishnevsky, Yuri Shvarts, Olga Magnitskaya, Marina Mikhailusova, Elena Pavlysh, Igor Libov, Anna Zateyschikova, Victor Kostenko, Anton Edin, Yaroslava Khovaeva, Konstantin Zakharov, Raisa Stryuk, Vladimir Khirmanov, Sergey Kanorskiy, Sergey Yakushin, Anna Barabashkina, Hongwei Li, Qiang Zhao, Jian Zhang, Jianhua Ma, Yong He, Ming Luo, Aidong Zhang, Ningru Zhang, Yingru Chai, Genshan Ma, Hao Wang, Zhigang Liu, Lanjie He, Zhifang Song, Xiaolin Dong, Liang Tao, Zhanquan Li, Xi Su, Xiangqing Kong, Heping Niu, Junbo Ge, Zhurong Luo, Wenjun Huang, Daoquan Peng, Zuyi Yuan, Maria Milanova, Doncho Tenev, Antoni Gogov, Dimitar Karageorgiev, Todor Kolchev, Nikolay Rusev, Nikolina Georgieva, Rumen Kondov, Veselin Rusinov, Ivo Petrov, Georgi Stanchev, Mariana Konteva, Adriana Dincheva, Zdravka Yaneva, Ralitsa Vatova, Katya Ilieva, Nikolai Runev, Borislav Kolomanov, Ivan Petrov, Nikolay Iliev, Snezhanka Tisheva, Boryana Chompalova, Maria Tokmakova, Dimitar Raev, Kolyo Byanov, Dimitar Markov, Lenko Mihov, Atanas Mihov, Nora Milcheva, Milen Minchev, Mihail Mollov, Borislav Borisov, Tihomir Tihchev, Venelin Karakolev, Bojidar Dimov, Svetoslav Georgiev, Lachezar Smilov, Bon K Koo, Taehoon Ahn, Soon J Hong, Junghan Yoon, Seok K Oh, Myung H Jeong, Doo-Il Kim, Kiyuk Chang, Weon Kim, Joo-Yong Hahn, Kwang S Cha, Jung-Hee Lee, Si-Wan Choi, Chang-Wook Nam, In-Ho Chae, Yong H Park, Seung-Jea Tahk, Won-Yong Shin, Jei-Keon Chae, Byung J Kim, Jang-Whan Bae, Woo J Park, Seung W Rha, Young J Choi, Jin-Yong Hwang, Hun S Park, Luciano Baracioli, Fabio Guimaraes, Eduardo Vasconcellos, José Saraiva, Adamastor Pereira, Queulla Santos, Paulo Rossi, Lilia Maia, Miguel Madeira, Marcio Pereira, Roberto Botelho, Gilmar Reis, Freddy Eliaschewitz, Joao Borges, Carlos Nascimento, Jose A Fortes, Weimar de Souza, Pedro Pimentel, Miguel Hissa, Marcos Franchetti, Dalton Precoma, Costantino Ortiz, Mauro Hernandes, Wladmir Saporito, Fabio R dos Santos, Adrian Kormann, Fernando Neuenschwander, Oscar Dutra, Nelson Rassi, Luiz Tanajura, Juliana Souza, Delcio S Junior, Paulo Leaes, Adriana Forte, Teresa C Bonansea, Jose Marin, Bruno Machado, Maria J Cerqueira, Frederico Silva, Yorghos Michalaros, Euler Manenti, Cintia Cercato, Estevao Figueiredo, Ming-En Liu, Yi-Chih Wang, Tsung-Ming Lee, Chih Fang, Yen-Wen Wu, Kwo-Chang Ueng, Huey-Herng Sheu, Wen T Lai, I-Chang Hsieh, Zhih-Cherng Chen, Mu-Jang Lee, Chern Chiang, Kou-Gi Shyu, Chien-Hsun Hsia, Guang-Yuan Mar, Shih-Hung Chan, Chih-Cheng Wu, Wei-Kung Tseng, Kuan-Cheng Chang, Hung-I Yeh, Ji-Hung Wang, Charles Hou, Inna Sorokina, Maryna Dolzhenko, Olha Horoshko, Oleksandr Karpenko, Leonid Rudenko, Igor Vakaliuk, Anna Kulyk, Olena Levchenko, Oleksandr Prokhorov, Dmytro Reshotko, Mykhaylo Sorokivskyy, Nataliia Velichko, Valentyn Maslovskyi, Zinaida Teliatnikova, Sergiy Dotsenko, Olena Krakhmalova, Igor Kraiz, Viktoria Zharinova, Larysa Bula, Igor Kaydashev, Valeriy Molodtsov, Lesya Rasputina, Viktoriya Pidlisna, Olena Lysunets, Anatoliy Kravchenko, Liubomyr Glushko, Tetyana Khomazyuk, Yevgeniya Svyshchenko, Oleksandr Parkhomenko, Boris Mankovsky, Orest Abrahamovych, Andriy Yagensky, Mykola Stanislavchuk, Larisa Vasilyeva, Liubov Sokolova, Oleg Sychov, Vira Tseluyko, Igor Kyrychenko, Mykola Rishko, Sergiy Furkalo, Richard Gallo, Olivier Bertrand, Shamir Mehta, Christian Constance, Bruce Sussex, Remo Zadra, Simon Kouz, Raja Chehayeb, Amritanshu Pandey, Danielle Dion, Gordon Bailey, Laurie Hill, Krishnan Ramanathan, Micha Dorsch, Alykhan Nanji, Mohan Babapulle, Martine Montigny, Gilbert Gosselin, Payam Dehghani, Dennis Rupka, Michel Le May, Francis Pichette, Francois St-Maurice, Patrick Teefy, Samer Mansour, Saleem Kassam, Stephen Cheung, Anthony D Siega, Dennis O'Keefe, Eric Sabbah, Alan Bell, Guy Chouinard, Brian Wong, Mark Miller, Daniel Gaudet, Pierre Lachance, Iqbal Bata, Robert Petrella, Denis Gossard, Richard Dumas, Douglas Ing, Hagop Boyrazian, Ricardo Bessoudo, Thao T Huynh, Randy Hart, Jasmin Belle-Isle, Dinkar Shukla, Allan Kelly, Giuseppe Mazza, James Cha, Sam Henein, Andre Frechette, Saul Vizel, Joanne F Liutkus, Michael O'Mahony, Frank Halperin, Jacobus Kooy, John Graham, Allan Bailey, Ronald Wojcik, Igor Wilderman, Tibor Turi, Ákos Motyovszki, Béla Merkely, Csaba Király, Péter Andrássy, Zsolt Sárszegi, Tibor Fülöp, Zsolt Zilahi, István Édes, Andras Papp, Gábor Müller, Anna Czigány, Szilárd Zólyomi, László Korányi, János Takács, Ferenc Juhász, Bela Benczur, Sándor Kancz, András Földi, András C Nagy, Judit Bakai, István Greschik, László Püski, László Nagy, Róbert Kirschner, Roman Kuchar, Petr Hajek, Ladislav Busak, Daniel Michalik, Ivo Matyasek, Ivana Marusincova, Dusan Kucera, Ondrej Jerabek, Michaela Honkova, Vratislav Dedek, Ivan Rihacek, Pavel Kos, Josef Slaby, Martina Machkova, Eva Zidkova, Lubomir Elbl, Hana Grunfeldova, Jiri Carda, Vladimir Mrozek, Jiri Maly, Richard Milkovic, Jan Malecha, Hana Skalicka, Ivo Oral, Eva Krcova, Libor Lisa, Jan Belohlavek, Roman Miklik, Ondrej Cermak, Jana Bednarova, Zdenek Peroutka, Jindrich Spinar, Andreas Wilke, Karl-Friedrich Appel, Jens Taggeselle, Andreas Förster, Nicole Toursarkissian, Ekkehard Schmidt, Jochen Bott, Ayham Al-Zoebi, Dirk Hennig, Sabine Fischer, Norbert Schön, Joachim Sauter, Gregor Simonis, Ruth Nischik, Werner Rieker, Isabelle Schenkenberger, Thomas Behnke, Gerhard Klausmann, Michael Jeserich, Dietmar Trenk, Ingo Weigmann, Hannes Reuter, Reinhard Rummel, Candy von Münchhausen, Charlotte von Engelhardt, Eishun Horibe, Taro Shibasaki, Tomohiko Sato, Tsunekazu Kakuta, Ichiro Michishita, Michinao Tan, Ryoji Ishiki, Takahiko Aoyama, Shinichi Higashiue, Yawara Niijima, Akira Idogaki, Toru Hasegawa, Arihiro Kiyosue, Yoshiaki Tomobuchi, Katsunori Kawamitsu, Satsuki Kawasaki, Yoshiki Hata, Kazuki Fukui, Kozaburo Seki, Takashi Takenaka, Mitsuru Abe, Noriaki Utsu, Atsuyuki Oono, Kazuhisa Mitsuo, Atsushi Sueyoshi, Atsushi Hirohata, Mitsuru Tsujimoto, Osamu Ueda, Shinichi Takase, Masahiro Suzuki, Satoru Sakuragi, Fumi Yamamoto, Noritaka Fujimoto, Shigeo Kakinoki, Tatsushi Sugiura, Hiroshi Sugino, Toshihiro Nakamura, Toshiaki Kadokami, Hiroki Uehara, Masahiro Ono, Koichi Yokoya, Akihiro Koike, Sei Komatsu, Masahiro Sonoda, Hideki Ueno, Tomofumi Doi, Yuichiro Takagi, Kazuteru Fujimoto, Yutaka Eki, Munenori Okubo, Kenichiro Sasaki, Martijn van Eck, Eelko Ronner, Salem The, Ruud van de Wal, Pieter Nierop, Cornelis de Nooijer, Henri Werner, Iris Westendorp, Coen van der Zwaan, Hendrikus Crijns, Jan H Cornel, Sipke Strikwerda, Robert Bos, Edwin de Melker, Adrianus Kuijper, Hans Louwerenburg, Jacobus Plomp, Jan-Melle Dantzig, Francisco Prins, Henricus van Kesteren, Frank Willems, Giovanni Amoroso, Gabriela Carnero, Ernesto Duronto, Diego Besada, Carolina Chacon, Pedro Zangroniz, Silvana Solis, Alberto Liberman, Virginia Sernia, Andres Alvarisqueta, Laura Maffei, Oscar G Vilamajo, Celso García, Maximiliano Sicer, Juan Muntaner, Anselmo Bordonava, Juan Albisu, Alejandra Zanini, Lucas Rista, Miguel Hominal, José N Estrada, Aldo Prado, Diego M Gosparini, Beatriz Schiavi, Armando G Castillo, José G Ruíz, Guillermo R Martinez, Víctor G López, Enrique L Rosas, Gabriel R Lopez, Elias G Cantu, Manuel de los Ríos Ibarra, Francisco P Padilla, Jose P Carrasco, Luis V Carrillo, Joel D García, Alfredo N Askar, Carlos A Salinas, Marco A Gamba, Carlos G Sanchez, Arnulfo G Cantú, Raul V Sánchez, Jaime C Madrigal, Rafael H Urbano, Andrés Í Romo, José R González Juanatey, Paolo Racugno, Angel C Fillat, José M de la Torre Hernández, Juan A Peláez, Jorge B Cortada, Pablo G Pavia, Manuel J Navarro, Roberto M Asenjo, Francisco F Díaz, Eduard B Peligero, Fernando A Manterola, Antonio F Ortiz, Juan D Mediavilla García, Francisco M Ortuño, Tomás R Vera, Alfonso S González, Jaime A Viñas, Francisco J Fernández Portales, Petra S Mayordomo, Francisco B Ojeda, Antonio R Domínguez, Rosa S González, Diego B Guerrero, Juan M Ruiz Nodar, Xavier G Marimon, José G Margáez, Roberto M Aguilera, José F Díaz Fernández, José L Zamorano Gómez, Vicente B González, Bruno G del Blanco, Ignacio P Pérez, Mercé R Moreno, Ainhoa R Ereño, José A García Lledó, Juan Prieto, Alex Villablanca, Carlos Raffo, Christian Pincetti, Carlos Conejeros, Oscar Roman, Manuel Rodriguez, Paola Varleta, Cindy Goldberg, Jorge Sandoval, German Arriagada, Lucio Leon, Sergio Potthoff, Jorge Cobos, Christian Figueroa, Ellen Makotoko, Nyda Fourie, Lesley Burgess, Hendrik Nortje, Rust Theron, Perumal Pillai, Naresh Ranjith, Julien Trokis, Soobramoney Pillay, Jeevren Reddy, Theema Nunkoo, Cornelia Kapp, Dorothea Urbach, Lawrence Distiller, Adrian Horak, Louis van Zyl, Kathleen Coetzee, Zelda Punt, Junaid Bayat, 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Karol Micko, Juraj Palka Jr, Vladimir Sivak, Dalby Kristensen, Jens Refsgaard, Lene Holmvang, Ulrik Dixen, Henrik Nielsen, Kenneth Egstrup, Lisette O Jensen, Roman Sykulski, Ole Rasmussen, Alin Andries, Anders Luckow, Gitte Nielsen, Torben Sørensen, Chaiyasith Wongvipaporn, Noppadol Chamnarnphol, Suphot Srimahachota, Nakarin Sansanayudh, Srun Kuanprasert, Damras Tresukosol, Bancha Sookananchai, Mehmet Kanadasi, Turkay Ozcan, Murathan Kucuk, Zeki Ongen, Ertugrul Okuyan, Alev Arat, Sadik Acikel, Ahmet Yalcin, Umit Guray, Ceyhun Ceyhan, Necla Ozer, Sakir Arslan, Oskar Angerås, Nina Johnston, Ann-Charlotte Weiderman, Stellan Bandh, Ole Hansen, Hans Larnefeldt, Dawid Kusiak, Carl-Johan Lindholm, Anders Hedman, David Erlinge, Dan Curiac, Pia Lundman, Roberto Zucconi-Mazzini, Layth Aladellie, Jens Jensen, Jan Verwerft, Mathias Vrolix, Dirk Faes, Harry Striekwold, Peter Sinnaeve, Patrick Timmermans, Antoine Guedes, Marc Delforge, Jan Nimmegeers, Francis Stammen, Ian Buysschaert, Etienne Hoffer, Geert Hollanders, Geert Vervoort, Patrick Coussement, Stefan de Maeseneire, Luc Janssens, Stein A Gravdal, Knut Risberg, Lars Gullestad, Ola D Hofseth, Dennis Nilsen, Knut T Lappegård, Christian van den Heuvel, Charlotte Gibbs, Alamdar Khusrawi, Satish Arora, Tadeusz Tomala, Thorbjørn Kjærnli, Jan Berg-Johansen, Robert Hagemeier, Gunnar Skjelvan, David Colquhoun, John Amerena, Claire Morbey, Christopher Hammett, Anthony Dart, Ronald Lehman, Andrew Hamilton, Matthew Worthley, Peter Purnell, Alan Whelan, Richard MacIsaac, Ktut Arya, Sultan Linjawi, Joseph Proietto, Lakshman Prasad, Aldo Rodriguez, Armando Godoy, Victor Rodriguez, Percy Berrospi, Carlos Chavez, Sandra Negron, Javier Heredia, Felix Medina, Helard Manrique, Walter Cabrera, Fernando Cordova, Trinidad Quinteros, Jaime M Haro, Susana Regalado, Javier Guitton, Hugo Arbanil, Michel Pansieri, Eric Decoulx, Pascal Goube, Axel de Labriolle, Jean N Labeque, Gregoire Range, Yves Cottin, Gilles Montalescot, Guillaume Cayla, Nicolas Danchin, Denis Angoulvant, Emile Ferrario, Meyer Elbaz, Olivier Dubreuil, Philippe G Steg, Caroline Fontaine, Emmanuel Sorbets, Hafiz Omer, Shukri Al-Saif, Hussam Al-Faleh, Abdullah Al-Shehri, Halia Alshehri, Rasha Bazari, Pak Hei, Man Ying, Michael Chan, Michelle Wong, Ronald Ma, Shing C Siu, Chiu C Tsang, Maurizio Ferrario, Emilio Assanelli, Michele Senni, Piermarco Piatti, Paolo Calabrò, Stefano Urbinati, Massimo Michisanti, Ferdinando Varbella, Salvatore de Cosmo, Roberto Trevisan, Sandro Bellotti, Giuseppe Di Pasquale, Angelo S Bongo, Massimo Uguccioni, Edoardo Mannucci, Ciro Mauro, Mauro Ragonese, Claudio Fresco, Maurizio Turturo, Rossella Marcucci, Manuel J Lievano Triana, Camilo Arana, Jose Accini, Rodrigo Botero, Marlena Muzyk-Osikowicz, Fredy T Dada, Gregorio S Vallejo, Fernando Manzur, Daniel Isaza, Dora Molina, Juan G Mesa, Alvaro Quintero, Kai Nyman, Jyrki Mäkelä, Jorma Strand, Sakari Nieminen, Jyrki Taurio, Matti Kuusela, Timo Valle, Mikko Pietilä, Sakari Kekki, Timo Strandberg, Marc Klutstein, Gabriel Greenberg, Yoseph Rozenman, Ehud Chorin, Ariel Roguin, Basil Lewis, Amir Bashkin, Edgar Tan, Jose P Prado, Arthur Ferrolino, Noe Babilonia, Benny Barbas, Generoso Matiga, Raul M Coching, Heinz Drexel, Helmut Brath, Christoph Schnack, Ursula Hanusch, Evelyn Fließer-Görzer, Bernhard Paulweber, Christoph Ebenbichler, Rudolf Prager, Kurt Huber, Michael Wolzt, Johann Auer, Rudolf Berger, Gerit-Holger Schernthaner, Gabriela Stanciulescu, Mihai Creteanu, Marilena Spiridon, Viorica Dobreanu, Dragos Vinereanu, Laura C Iosipescu, Octavian Istratoaie, Ioan Coman, Constantin Militaru, Mircea Cinteza, Peter R Sinnaeve, José C Nicolau, José F Kerr Saraiva, Ramón Corbalán, Petr Widimský, Steen D Kristensen, Juha Hartikainen, Harald Darius, Hung F Tse, Robert G Kiss, Prem Pais, Eli Lev, Leonardo de Luca, Gabriel A Ramos López, Frederic Kontny, Noe A Babilonia, Dmitry A Zateyshchikov, Mikhail Ruda, Omer Elamin, František Kovář, Anthony J Dalby, Héctor Bueno, Chern-En Chiang, Alexander Parkhomenko, Tuan Q Nguyen, Maria Leonsson-Zachrisson, Herrada, Anthony, Brigham & Women’s Hospital [Boston] (BWH), Harvard Medical School [Boston] (HMS), AP-HP - Hôpital Bichat - Claude Bernard [Paris], Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP), Laboratoire de Recherche Vasculaire Translationnelle (LVTS (UMR_S_1148 / U1148)), Université Paris 13 (UP13)-Université Paris Diderot - Paris 7 (UPD7)-Institut National de la Santé et de la Recherche Médicale (INSERM), Royal Brompton Hospital, McMaster University [Hamilton, Ontario], Keenan Research Centre of the Li Ka Shing Knowledge Institute [Toronto], St. Michael's Hospital, University of Toronto, Service de Pharmacologie médicale = service de pharmacologie - Dosage de médicaments [CHU Saint-Antoine], CHU Saint-Antoine [AP-HP], Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-Sorbonne Université (SU)-Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-Sorbonne Université (SU), Sorbonne Université (SU), National Heart and Lung Institute [London] (NHLI), Imperial College London-Royal Brompton and Harefield NHS Foundation Trust, Uppsala University Hospital, Uppsala Universitet [Uppsala], AstraZeneca, Tokai University, Uppsala University, Imperial College London, Saint Luke's Mid America Heart Institute, University of Missouri [Kansas City] (UMKC), University of Missouri System, University of New South Wales [Sydney] (UNSW), University of Texas Southwestern Medical Center [Dallas], Stanford University, Centre Hospitalier Universitaire de Nîmes (CHU Nîmes), Université de Montpellier (UM), Bhatt, D, Steg, P, Mehta, S, Leiter, L, Simon, T, Fox, K, Held, C, Andersson, M, Himmelmann, A, Ridderstrale, W, Chen, J, Song, Y, Diaz, R, Goto, S, James, S, Ray, K, Parkhomenko, A, Kosiborod, M, Mcguire, D, Harrington, R, Santos, V, Jain, A, Lendel, I, Russo, M, Haught, W, Bouza, M, Gogia, H, Banerjee, S, Kichura, G, Kantaros, L, Padron, F, Passi, R, Stone, J, Pursley, M, D'Urso, M, Gardner, T, Bennett, J, Nour, K, Saini, S, Zhang, W, Kumbhani, D, Thomas, D, Angiolillo, D, Bertolet, B, Roman-Miranda, A, Black, R, Manshadi, R, Vaca, C, Blanco, A, Napoli, M, Brabham, D, Akyea-Djamson, A, Desai, P, Prasada, S, Khaira, A, Forgosh, L, Lieber, I, Umpierrez, G, Singal, D, Londono, J, Fraser, N, Ruiz, J, Vega, D, Rodriguez, L, Brown, C, Syed, F, Aggarwala, G, Eaves, W, Foster, M, Gupta, D, Avino, D, Asfour, W, Tonnessen, G, Zhao, X, Singh, N, Brockmyre, A, Lepor, N, Shammas, N, Blick, D, Hearne, S, Prodafikas, J, Carell, E, Izzo, M, Karim, A, Zakhary, B, Atieh, M, Leichter, S, Meadows, C, Hotchkiss, D, Abu-Fadel, M, Wiseman, A, Bander, J, Shah, M, Ganim, R, Sopko, K, Khan, M, Lloret, R, Weirick, T, Mehta, R, Thadani, U, Bhargava, A, Moya, J, Staniloae, C, Guerra, Y, Chhabra, A, Kosmicki, D, Shaheen, W, Mohammed, A, Bitters, J, Pattanayak, J, Javier, J, Srivastava, S, Phillips, R, Al-Amin, J, Lillestol, M, Simpson, P, Hazan, L, Amin, A, Shah, G, Korpas, D, Platt, B, Dickert, J, Puente, O, Hiotis, L, Doyle, T, Rajan, R, Meholick, A, Gring, C, Hage-Korban, E, Feldman, R, Colfer, H, Butman, S, Hart, T, Huling, R, Eshaghian, S, Quintana, O, Cheung, D, Handel, F, Rodriguez, M, Suh, D, Gordon, P, Pressman, G, Bauer, M, French, W, Barettella, M, Chatrathi, S, Suresh, D, Goldberg, R, Huth, M, Younis, L, Rahman, A, Mascolo, R, Welch, M, Suneja, R, Smith, S, Shurmur, S, Agaiby, J, Jingo, A, Johnston, J, Beth, M, Vlastaris, A, Kemp, S, Taheri, H, Pereira, E, Deyoung, M, Hawa, Z, Smith, R, Galski, T, Garas, S, Reddy, M, Sharma, S, Hargrove, J, Treasure, C, Emerson, R, Haddad, T, Rohr, K, Levinson, L, Gaona, R, Uretsky, B, Maheshwari, H, Lee, D, Kinnaman, S, Singal, R, Geohas, J, Gigliotti, O, Raisinghani, A, Khurana, C, Hella, B, Kelberman, M, Voyce, S, Singh, S, Lo, E, Singh, P, Goodfellow, R, Fischer, S, Lorraine, R, Turner, T, Shanes, J, Busch, R, Broker, R, Zaniewski, M, Pounds, K, Debs-Perez, G, Ong, S, Frandsen, B, Fullington, D, Jaffrani, N, Khan, A, Lee, M, Pouzar, J, Revtyak, G, Gonzalez, J, Nakhle, S, Murillo, A, Young, D, Makam, S, Syed, M, Woolf, K, Grena, P, Alfata, S, Mahal, S, Hoffman, D, Kizhakekuttu, T, Deering, J, Bhavsar, J, Mikesell, S, Wilson, W, Wilson, V, El, S, Spinale, F, Kannarkat, V, Rao, S, Hanson, L, Bertsch, J, Gonzalez-Ortiz, E, Severino, N, Willis, J, Schock, J, Bakhtari, L, Gazmuri, R, Ansari, S, Hall, J, Mehta, A, Shealy, N, Zarich, S, Singh, D, Vora, K, Andrawis, N, Molter, D, Maron, D, Cardona, J, D'Agostino, R, Arshad, T, Samaan, R, Jones, D, Presser, D, Heath, J, Green, S, Bittar, G, Henry, S, Korn, D, Schmedtje, J, Nadar, V, Graham, B, Labroo, A, Clavijo, L, Roseman, H, Ledesma, G, Rosen, R, Dor, I, Kirby, W, Sutton, J, Eder, F, Iteld, B, Gomez-Cortes, J, Buchbinder, M, Kasper, J, Terrelonge, A, Torres, G, Jagielo, T, Alvarez, J, Handelsman, Y, Guillen, M, Richwine, R, Lewy-Alterbaum, L, Corder, C, Arvind, M, Bolshoun, D, Mikhail, M, Minton, S, Alvarado, O, Abbott, J, Cauthen, B, Welter, R, Mintz, R, Cox, J, Quick, A, Weiss, M, Dy, J, Zebrack, J, Gandelman, G, Hegde, V, Silver, M, Degregorio, M, Lawson, W, Paa, C, Bortnick, A, Krolick, M, Sotolongo, R, Cheirif, J, Kumar, P, Jetty, P, Patel, A, Kruk, M, Kobielusz-Gembala, I, Rewerska, B, Madrzejewski, A, Milewski, K, Cygler, J, Petryka-Mazurkiewicz, J, Jastrzebski, W, Korecki, J, Fil, W, Prokopczuk, J, Bochenek, A, Wujkowski, M, Witek, R, Konczakowski, P, Miekus, P, Szczasny, M, Musial, W, Cymerman, K, Lampart, J, Mikosinski, J, Szynal, S, Fares, I, Opolski, G, Mazur, S, Wozakowska-Kaplon, B, Bijata-Bronisz, R, Wierucki, L, Losa, B, Drelich, G, Konieczny, M, Starczewski, P, Pawlowicz, L, Jesionowski, P, Jurowiecki, J, Gniot, J, Czyzycki, M, Stania, K, Kucharczyk-Bauman, I, Busz-Papiez, B, Karczmarczyk, A, Sudnik, W, Koszek, A, Kolodziej, P, Skwarna, B, Jaramillo, N, Jankowski, M, Czochra, W, Kinasz, L, Miklaszewicz, B, Stasinska, T, Pluta, W, Basiak, M, Rusicka, T, Niedbal-Yahfouf, I, Popenda, G, Korzeniak, R, Mirek, A, Mariankowski, R, Wojnowski, L, Korol, M, Baszak, J, Podolec, P, Piesiewicz, W, Zurakowski, A, Luengas, C, Skura, M, Pilecki, P, Majchrzak, P, Krzyzagorska, E, Drozd, M, Kaczmarek, B, Sliwinska, T, Zelazowska, K, Sztembis, R, Landa, K, Matyszczak-Toniak, L, Strojek, K, Piepiorka, M, Malinowski, R, Gorska, M, Stolarczyk-Sowa, E, Romanowski, L, Zinka, E, Reszka, Z, Skierkowska, J, Uzunow, A, Laskowska-Derlaga, E, Puntus, E, Kosmacheva, E, Koziolova, N, Pavlov, P, Supryadkina, T, Didenko, Y, Kopylov, P, Kazakov, A, Aksentiev, S, Vishneva, E, Repin, A, Smolenskaya, O, Mantserova, O, Khrustalev, O, Privalova, E, Konstantinov, V, Boldueva, S, Ezhov, A, Chernyavsky, A, Kamalov, G, Galyavich, A, Zubeeva, G, Nechaeva, G, Shustov, S, Dzhaiani, N, Treshkur, T, Osokina, N, Panov, A, Shutemova, E, Makukhin, V, Kropotina, T, Tsyba, L, Karpov, Y, Sizova, J, Ballyuzek, M, Tarasov, N, Demchenko, E, Barbarash, O, Moiseev, V, Markov, V, Kuznetsov, V, Viktorova, I, Sergienko, I, Ermoshkina, L, Khasanov, N, Khlevchuk, T, Baglikov, A, Shalaev, S, Zonova, E, Reznik, E, Haisheva, L, Morugova, T, Lomakin, N, Vishnevsky, A, Shvarts, Y, Magnitskaya, O, Mikhailusova, M, Pavlysh, E, Libov, I, Zateyschikova, A, Kostenko, V, Edin, A, Khovaeva, Y, Zakharov, K, Stryuk, R, Khirmanov, V, Kanorskiy, S, Yakushin, S, Barabashkina, A, Li, H, Zhao, Q, Zhang, J, Ma, J, He, Y, Luo, M, Zhang, A, Zhang, N, Chai, Y, Ma, G, Wang, H, Liu, Z, He, L, Song, Z, Dong, X, Tao, L, Li, Z, Su, X, Kong, X, Niu, H, Ge, J, Luo, Z, Huang, W, Peng, D, Yuan, Z, Milanova, M, Tenev, D, Gogov, A, Karageorgiev, D, Kolchev, T, Rusev, N, Georgieva, N, Kondov, R, Rusinov, V, Petrov, I, Stanchev, G, Konteva, M, Dincheva, A, Yaneva, Z, Vatova, R, Ilieva, K, Runev, N, Kolomanov, B, Iliev, N, Tisheva, S, Chompalova, B, Tokmakova, M, Raev, D, Byanov, K, Markov, D, Mihov, L, Mihov, A, Milcheva, N, Minchev, M, Mollov, M, Borisov, B, Tihchev, T, Karakolev, V, Dimov, B, Georgiev, S, Smilov, L, Koo, B, Ahn, T, Hong, S, Yoon, J, Oh, S, Jeong, M, Kim, D, Chang, K, Kim, W, Hahn, J, Cha, K, Lee, J, Choi, S, Nam, C, Chae, I, Park, Y, Tahk, S, Shin, W, Chae, J, Kim, B, Bae, J, Park, W, Rha, S, Choi, Y, Hwang, J, Park, H, Baracioli, L, Guimaraes, F, Vasconcellos, E, Saraiva, J, Pereira, A, Santos, Q, Rossi, P, Maia, L, Madeira, M, Pereira, M, Botelho, R, Reis, G, Eliaschewitz, F, Borges, J, Nascimento, C, Fortes, J, de Souza, W, Pimentel, P, Hissa, M, Franchetti, M, Precoma, D, Ortiz, C, Hernandes, M, Saporito, W, dos Santos, F, Kormann, A, Neuenschwander, F, Dutra, O, Rassi, N, Tanajura, L, Souza, J, Junior, D, Leaes, P, Forte, A, Bonansea, T, Marin, J, Machado, B, Cerqueira, M, Silva, F, Michalaros, Y, Manenti, E, Cercato, C, Figueiredo, E, Liu, M, Wang, Y, Lee, T, Fang, C, Wu, Y, Ueng, K, Sheu, H, Lai, W, Hsieh, I, Chen, Z, Chiang, C, Shyu, K, Hsia, C, Mar, G, Chan, S, Wu, C, Tseng, W, Yeh, H, Wang, J, Hou, C, Sorokina, I, Dolzhenko, M, Horoshko, O, Karpenko, O, Rudenko, L, Vakaliuk, I, Kulyk, A, Levchenko, O, Prokhorov, O, Reshotko, D, Sorokivskyy, M, Velichko, N, Maslovskyi, V, Teliatnikova, Z, Dotsenko, S, Krakhmalova, O, Kraiz, I, Zharinova, V, Bula, L, Kaydashev, I, Molodtsov, V, Rasputina, L, Pidlisna, V, Lysunets, O, Kravchenko, A, Glushko, L, Khomazyuk, T, Svyshchenko, Y, Parkhomenko, O, Mankovsky, B, Abrahamovych, O, Yagensky, A, Stanislavchuk, M, Vasilyeva, L, Sokolova, L, Sychov, O, Tseluyko, V, Kyrychenko, I, Rishko, M, Furkalo, S, Gallo, R, Bertrand, O, Constance, C, Sussex, B, Zadra, R, Kouz, S, Chehayeb, R, Pandey, A, Dion, D, Bailey, G, Hill, L, Ramanathan, K, Dorsch, M, Nanji, A, Babapulle, M, Montigny, M, Gosselin, G, Dehghani, P, Rupka, D, Le May, M, Pichette, F, St-Maurice, F, Teefy, P, Mansour, S, Kassam, S, Cheung, S, Siega, A, O'Keefe, D, Sabbah, E, Bell, A, Chouinard, G, Wong, B, Miller, M, Gaudet, D, Lachance, P, Bata, I, Petrella, R, Gossard, D, Dumas, R, Ing, D, Boyrazian, H, Bessoudo, R, Huynh, T, Hart, R, Belle-Isle, J, Shukla, D, Kelly, A, Mazza, G, Cha, J, Henein, S, Frechette, A, Vizel, S, Liutkus, J, O'Mahony, M, Halperin, F, Kooy, J, Graham, J, Bailey, A, Wojcik, R, Wilderman, I, Turi, T, Motyovszki, A, Merkely, B, Kiss, R, Kiraly, C, Andrassy, P, Sarszegi, Z, Fulop, T, Zilahi, Z, Edes, I, Papp, A, Muller, G, Czigany, A, Zolyomi, S, Koranyi, L, Takacs, J, Juhasz, F, Benczur, B, Kancz, S, Foldi, A, Nagy, A, Bakai, J, Greschik, I, Puski, L, Nagy, L, Kirschner, R, Kuchar, R, Hajek, P, Busak, L, Michalik, D, Matyasek, I, Marusincova, I, Kucera, D, Jerabek, O, Honkova, M, Dedek, V, Rihacek, I, Kos, P, Slaby, J, Machkova, M, Zidkova, E, Elbl, L, Grunfeldova, H, Carda, J, Mrozek, V, Maly, J, Milkovic, R, Malecha, J, Skalicka, H, Oral, I, Krcova, E, Lisa, L, Belohlavek, J, Miklik, R, Cermak, O, Bednarova, J, Peroutka, Z, Spinar, J, Wilke, A, Appel, K, Taggeselle, J, Forster, A, Toursarkissian, N, Schmidt, E, Bott, J, Al-Zoebi, A, Hennig, D, Schon, N, Sauter, J, Simonis, G, Nischik, R, Rieker, W, Schenkenberger, I, Behnke, T, Klausmann, G, Jeserich, M, Trenk, D, Weigmann, I, Reuter, H, Rummel, R, von Munchhausen, C, von Engelhardt, C, Horibe, E, Shibasaki, T, Sato, T, Kakuta, T, Michishita, I, Tan, M, Ishiki, R, Aoyama, T, Higashiue, S, Niijima, Y, Idogaki, A, Hasegawa, T, Kiyosue, A, Tomobuchi, Y, Kawamitsu, K, Kawasaki, S, Hata, Y, Fukui, K, Seki, K, Takenaka, T, Abe, M, Utsu, N, Oono, A, Mitsuo, K, Sueyoshi, A, Hirohata, A, Tsujimoto, M, Ueda, O, Takase, S, Suzuki, M, Sakuragi, S, Yamamoto, F, Fujimoto, N, Kakinoki, S, Sugiura, T, Sugino, H, Nakamura, T, Kadokami, T, Uehara, H, Ono, M, Yokoya, K, Koike, A, Komatsu, S, Sonoda, M, Ueno, H, Doi, T, Takagi, Y, Fujimoto, K, Eki, Y, Okubo, M, Sasaki, K, van Eck, M, Ronner, E, The, S, van de Wal, R, Nierop, P, de Nooijer, C, Werner, H, Westendorp, I, van der Zwaan, C, Crijns, H, Cornel, J, Strikwerda, S, Bos, R, de Melker, E, Kuijper, A, Louwerenburg, H, Plomp, J, Dantzig, J, Prins, F, van Kesteren, H, Willems, F, Amoroso, G, Carnero, G, Duronto, E, Besada, D, Chacon, C, Zangroniz, P, Solis, S, Liberman, A, Sernia, V, Alvarisqueta, A, Maffei, L, Vilamajo, O, Garcia, C, Sicer, M, Muntaner, J, Bordonava, A, Albisu, J, Zanini, A, Rista, L, Hominal, M, Estrada, J, Prado, A, Gosparini, D, Schiavi, B, Castillo, A, Martinez, G, Lopez, V, Rosas, E, Lopez, G, Cantu, E, de los Rios Ibarra, M, Padilla, F, Carrasco, J, Carrillo, L, Garcia, J, Askar, A, Salinas, C, Gamba, M, Sanchez, C, Cantu, A, Sanchez, R, Madrigal, J, Urbano, R, Romo, A, Gonzalez Juanatey, J, Racugno, P, Fillat, A, de la Torre Hernandez, J, Pelaez, J, Cortada, J, Pavia, P, Navarro, M, Asenjo, R, Diaz, F, Peligero, E, Manterola, F, Ortiz, A, Mediavilla Garcia, J, Ortuno, F, Vera, T, Gonzalez, A, Vinas, J, Fernandez Portales, F, Mayordomo, P, Ojeda, F, Dominguez, A, Gonzalez, R, Guerrero, D, Ruiz Nodar, J, Marimon, X, Margaez, J, Aguilera, R, Diaz Fernandez, J, Zamorano Gomez, J, Gonzalez, V, del Blanco, B, Perez, I, Moreno, M, Ereno, A, Garcia Lledo, J, Prieto, J, Villablanca, A, Raffo, C, Pincetti, C, Conejeros, C, Roman, O, Varleta, P, Goldberg, C, Sandoval, J, Arriagada, G, Corbalan, R, Leon, L, Potthoff, S, Cobos, J, Figueroa, C, Makotoko, E, Fourie, N, Burgess, L, Nortje, H, Theron, R, Pillai, P, Ranjith, N, Trokis, J, Pillay, S, Reddy, J, Nunkoo, T, Kapp, C, Urbach, D, Distiller, L, Horak, A, van Zyl, L, Coetzee, K, Punt, Z, Bayat, J, Dawood, S, Mitha, I, Padayachee, T, Hoosen, F, Dalby, A, Prabhavathi, Gowdaiah, P, Mehta, V, Chag, M, Gadkari, M, Ramamurthee, K, Das, A, Sawhney, J, Sathe, P, Adhyapak, S, Nguyen, T, Pham, V, Do, H, Nguyen, A, Nguyen, H, Truong, B, Jamil-Copley, S, Lang, C, Pell, A, Zaman, A, Storey, R, Swanson, N, Sharman, D, Braganza, D, Hammond, P, Moriarty, A, Bain, S, Pye, M, Sharp, A, Blagden, M, Randeva, H, Myhill, T, Viswanathan, G, Keeling, P, Clifford, P, Saxena, M, Lyons, K, Mcmurray, J, Jaafar, F, Murphy, C, Cartwright, S, Abouglila, K, Antalik, L, Krajci, P, Urban, M, Fazekas, F, Pella, D, Koleny, D, Vykoukalova, T, Macek, V, Vinanska, D, Jamriskova, L, Such, S, Fulop, P, Farsky, S, Bugan, V, Strbova, J, Micko, K, Palka Jr, J, Sivak, V, Kristensen, D, Refsgaard, J, Holmvang, L, Dixen, U, Nielsen, H, Egstrup, K, Jensen, L, Sykulski, R, Rasmussen, O, Andries, A, Luckow, A, Nielsen, G, Sorensen, T, Wongvipaporn, C, Chamnarnphol, N, Srimahachota, S, Sansanayudh, N, Kuanprasert, S, Tresukosol, D, Sookananchai, B, Kanadasi, M, Ozcan, T, Kucuk, M, Ongen, Z, Okuyan, E, Arat, A, Acikel, S, Yalcin, A, Guray, U, Ceyhan, C, Ozer, N, Arslan, S, Angeras, O, Johnston, N, Weiderman, A, Bandh, S, Hansen, O, Larnefeldt, H, Kusiak, D, Lindholm, C, Hedman, A, Erlinge, D, Curiac, D, Lundman, P, Zucconi-Mazzini, R, Aladellie, L, Jensen, J, Verwerft, J, Vrolix, M, Faes, D, Striekwold, H, Sinnaeve, P, Timmermans, P, Guedes, A, Delforge, M, Nimmegeers, J, Stammen, F, Buysschaert, I, Hoffer, E, Hollanders, G, Vervoort, G, Coussement, P, de Maeseneire, S, Janssens, L, Gravdal, S, Risberg, K, Gullestad, L, Hofseth, O, Nilsen, D, Lappegard, K, van den Heuvel, C, Gibbs, C, Khusrawi, A, Arora, S, Tomala, T, Kjaernli, T, Berg-Johansen, J, Hagemeier, R, Skjelvan, G, Colquhoun, D, Amerena, J, Morbey, C, Hammett, C, Dart, A, Lehman, R, Hamilton, A, Worthley, M, Purnell, P, Whelan, A, Macisaac, R, Arya, K, Linjawi, S, Proietto, J, Prasad, L, Rodriguez, A, Godoy, A, Rodriguez, V, Berrospi, P, Chavez, C, Negron, S, Heredia, J, Medina, F, Manrique, H, Cabrera, W, Cordova, F, Quinteros, T, Haro, J, Regalado, S, Guitton, J, Arbanil, H, Pansieri, M, Decoulx, E, Goube, P, de Labriolle, A, Labeque, J, Range, G, Cottin, Y, Montalescot, G, Cayla, G, Danchin, N, Angoulvant, D, Ferrario, E, Elbaz, M, Dubreuil, O, Fontaine, C, Sorbets, E, Omer, H, Al-Saif, S, Al-Faleh, H, Al-Shehri, A, El-Amin, O, Alshehri, H, Bazari, R, Hei, P, Ying, M, Chan, M, Wong, M, Ma, R, Siu, S, Tsang, C, Ferrario, M, Assanelli, E, Senni, M, Piatti, P, Calabro, P, Urbinati, S, Michisanti, M, Varbella, F, de Cosmo, S, Trevisan, R, Bellotti, S, Di Pasquale, G, Bongo, A, Uguccioni, M, Mannucci, E, Mauro, C, Ragonese, M, Fresco, C, Turturo, M, Marcucci, R, Lievano Triana, M, Arana, C, Accini, J, Botero, R, Muzyk-Osikowicz, M, Dada, F, Vallejo, G, Manzur, F, Isaza, D, Molina, D, Mesa, J, Quintero, A, Nyman, K, Makela, J, Strand, J, Nieminen, S, Taurio, J, Kuusela, M, Valle, T, Pietila, M, Kekki, S, Strandberg, T, Klutstein, M, Greenberg, G, Rozenman, Y, Chorin, E, Roguin, A, Lewis, B, Bashkin, A, Tan, E, Prado, J, Ferrolino, A, Babilonia, N, Barbas, B, Matiga, G, Coching, R, Drexel, H, Brath, H, Schnack, C, Hanusch, U, Fliesser-Gorzer, E, Paulweber, B, Ebenbichler, C, Prager, R, Huber, K, Wolzt, M, Auer, J, Berger, R, Schernthaner, G, Stanciulescu, G, Creteanu, M, Spiridon, M, Dobreanu, V, Vinereanu, D, Iosipescu, L, Istratoaie, O, Coman, I, Militaru, C, Cinteza, M, Nicolau, J, Kerr Saraiva, J, Widimsky, P, Kristensen, S, Hartikainen, J, Darius, H, Tse, H, Pais, P, Lev, E, de Luca, L, Ramos Lopez, G, Kontny, F, Zateyshchikov, D, Ruda, M, Elamin, O, Kovar, F, Bueno, H, Leonsson-Zachrisson, M, Université Paris Diderot - Paris 7 (UPD7)-Université Paris 13 (UP13)-Institut National de la Santé et de la Recherche Médicale (INSERM), Service de pharmacologie - Dosage de médicaments [CHU Saint-Antoine], Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-CHU Saint-Antoine [AP-HP], Assistance publique - Hôpitaux de Paris (AP-HP) (AP-HP)-Sorbonne Université (SU)-Sorbonne Université (SU), and Royal Brompton and Harefield NHS Foundation Trust-Imperial College London

Subjects
Male, Platelet Aggregation Inhibitors/therapeutic use, THEMIS Steering Committee and Investigators, medicine.medical_treatment, Vascular damage Radboud Institute for Health Sciences [Radboudumc 16], 030204 cardiovascular system & hematology, Coronary Angiography, Stroke/epidemiology, Coronary artery disease, DOUBLE-BLIND, 0302 clinical medicine, Hemorrhage/chemically induced, acetylsalicylic acid, antidiabetic agent, placebo, ticagrelor, Secondary Prevention, Medicine, 030212 general & internal medicine, Myocardial infarction, Coronary Artery Bypass, Cardiovascular Diseases/mortality, 11 Medical and Health Sciences, OUTCOMES, Aspirin, [SDV.MHEP] Life Sciences [q-bio]/Human health and pathology, General Medicine, Middle Aged, Clopidogrel, 3. Good health, Ticagrelor/therapeutic use, DRUG-ELUTING STENTS, CLOPIDOGREL, Cardiology, PLATELET INHIBITION, Drug Therapy, Combination, Female, Life Sciences & Biomedicine, Ticagrelor, TIMI, medicine.drug, Coronary Artery Disease/complications, medicine.medical_specialty, Hypoglycemic Agents/therapeutic use, POOLED ANALYSIS, 03 medical and health sciences, Medicine, General & Internal, Percutaneous Coronary Intervention, Double-Blind Method, General & Internal Medicine, Internal medicine, Myocardial Infarction/epidemiology, Humans, Aged, Science & Technology, ANTIPLATELET THERAPY, business.industry, Diabetes Mellitus, Type 2/complications, ELEVATION MYOCARDIAL-INFARCTION, RIVAROXABAN, Percutaneous coronary intervention, medicine.disease, ASPIRIN, Coronary Stenosis/diagnostic imaging, Aspirin/therapeutic use, Conventional PCI, business, [SDV.MHEP]Life Sciences [q-bio]/Human health and pathology
Abstract

Contains fulltext : 215333.pdf (Publisher’s version ) (Closed access) BACKGROUND: Patients with stable coronary artery disease and diabetes with previous percutaneous coronary intervention (PCI), particularly those with previous stenting, are at high risk of ischaemic events. These patients are generally treated with aspirin. In this trial, we aimed to investigate if these patients would benefit from treatment with aspirin plus ticagrelor. METHODS: The Effect of Ticagrelor on Health Outcomes in diabEtes Mellitus patients Intervention Study (THEMIS) was a phase 3 randomised, double-blinded, placebo-controlled trial, done in 1315 sites in 42 countries. Patients were eligible if 50 years or older, with type 2 diabetes, receiving anti-hyperglycaemic drugs for at least 6 months, with stable coronary artery disease, and one of three other mutually non-exclusive criteria: a history of previous PCI or of coronary artery bypass grafting, or documentation of angiographic stenosis of 50% or more in at least one coronary artery. Eligible patients were randomly assigned (1:1) to either ticagrelor or placebo, by use of an interactive voice-response or web-response system. The THEMIS-PCI trial comprised a prespecified subgroup of patients with previous PCI. The primary efficacy outcome was a composite of cardiovascular death, myocardial infarction, or stroke (measured in the intention-to-treat population). FINDINGS: Between Feb 17, 2014, and May 24, 2016, 11 154 patients (58% of the overall THEMIS trial) with a history of previous PCI were enrolled in the THEMIS-PCI trial. Median follow-up was 3.3 years (IQR 2.8-3.8). In the previous PCI group, fewer patients receiving ticagrelor had a primary efficacy outcome event than in the placebo group (404 [7.3%] of 5558 vs 480 [8.6%] of 5596; HR 0.85 [95% CI 0.74-0.97], p=0.013). The same effect was not observed in patients without PCI (p=0.76, pinteraction=0.16). The proportion of patients with cardiovascular death was similar in both treatment groups (174 [3.1%] with ticagrelor vs 183 (3.3%) with placebo; HR 0.96 [95% CI 0.78-1.18], p=0.68), as well as all-cause death (282 [5.1%] vs 323 [5.8%]; 0.88 [0.75-1.03], p=0.11). TIMI major bleeding occurred in 111 (2.0%) of 5536 patients receiving ticagrelor and 62 (1.1%) of 5564 patients receiving placebo (HR 2.03 [95% CI 1.48-2.76], p

Published
2019

13. Existence of nonlinear normal modes for coupled nonlinear oscillators

Author

Dirk Hennig

Subjects
Applied Mathematics, Mechanical Engineering, Mathematical analysis, FOS: Physical sciences, Aerospace Engineering, Motion (geometry), Ocean Engineering, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Pattern Formation and Solitons, Vibration, Nonlinear system, Nonlinear oscillators, Control and Systems Engineering, Normal mode, Ordinary differential equation, Nonlinear resonance, Electrical and Electronic Engineering, Mathematics
Abstract

We prove the existence of nonlinear normal modes for general systems of two coupled nonlinear oscillators. Facilitating the comparison principle for ordinary differential equations, it is shown that there exist exact solutions representing a vibration in unison of the system. The associated spatially localised time-periodic solutions feature out-of-phase and in-phase motion of the oscillators.

Published
2015

14. Cooperative surmounting of bottlenecks

Author

Lutz Schimansky-Geier, Colm Mulhern, Peter Hänggi, Dirk Hennig, and G.P. Tsironis

Subjects
Physics, Work (thermodynamics), FOS: Physical sciences, Deterministic dynamics, General Physics and Astronomy, Charge density, 01 natural sciences, Nonlinear Sciences - Adaptation and Self-Organizing Systems, 010305 fluids & plasmas, Hamiltonian system, Nonlinear system, Classical mechanics, Phase space, Metastability, 0103 physical sciences, Diffusion (business), 010306 general physics, Adaptation and Self-Organizing Systems (nlin.AO), Brownian motion
Abstract

The physics of activated escape of objects out of a metastable state plays a key role in diverse scientific areas involving chemical kinetics, diffusion and dislocation motion in solids, nucleation, electrical transport, motion of flux lines superconductors, charge density waves, and transport processes of macromolecules and astrophysics, to name but a few. The underlying activated processes present the multidimensional extension of the Kramers problem of a single Brownian particle. In comparison to the latter case, however, the dynamics ensuing from the interactions of many coupled units can lead to intriguing novel phenomena that are not present when only a single degree of freedom is involved. In this review we report on a variety of such phenomena that are exhibited by systems consisting of chains of interacting units in the presence of potential barriers. In the first part we consider recent developments in the case of a deterministic dynamics driving cooperative escape processes of coupled nonlinear units out of metastable states. The ability of chains of coupled units to undergo spontaneous conformational transitions can lead to a self-organised escape. The mechanism at work is that the energies of the units become re-arranged, while keeping the total energy conserved, in forming localised energy modes that in turn trigger the cooperative escape. We present scenarios of significantly enhanced noise-free escape rates if compared to the noise-assisted case. The second part of the review deals with the collective directed transport of systems of interacting particles overcoming energetic barriers in periodic potential landscapes. Escape processes in both time-homogeneous and time-dependent driven systems are considered for the emergence of directed motion. It is shown that ballistic channels immersed in the associated mixed high-dimensional phase space are at the source for the directed long-range transport. Open problems and future directions are discussed in order to invigorate readers to engage in their own research.

Published
2015

15. New Food Trends, New Opportunities: Stephan processing solutions for vegan analog cheese.

Author

Schönfelder, Dirk Hennig

Subjects
*CHEESE, *VEGANS, *MILKFAT, *CHEESE products, *CHEESE industry, *PALM oil
Abstract

The article explores As part of a healthy, sustainable lifestyle, the consumption of vegan cheese substitutes is becoming increasingly important. Motivated by social trends, climate protection and health reasons, vegan cheese alternatives are in demand more than ever. In a dynamic market, ProXES with its Stephan processing solutions provides you with the knowledge and machinery to benefit from the latest food trends in the production of vegan analog cheese products.

Published
2022

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