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4. Bounds on the number of rational points of curves in families

Author

Lemos, Pedro and Torzewski, Alex

Subjects
Mathematics - Number Theory, Mathematics - Algebraic Geometry, 11D45, 14G05 (primary) 11D88, 14H30, 14H40 (secondary)
Abstract

In this note, we give an alternative proof of uniform boundedness of the number of integral points of smooth projective curves over a fixed number field with good reduction outside of a fixed set of primes. We use that due to Bertin-Romagny, the Kodaira-Parshin families constructed by Lawrence-Venkatesh can themselves be assembled into a family. We then repeat Lawrence-Venkatesh's study of the p-adic period map, together with the comparison of nearby fibres., Comment: 12 pages, version to appear in the Bulletin of the London Mathematical Society

Published
2022

9. Geographic disparity of pathophysiological coronary artery disease characteristics: Insights from ASET trials

Author

Kotoku, Nozomi, Ninomiya, Kai, Masuda, Shinichiro, Tsai, Tsung Ying, Revaiah, Pruthvi C., Garg, Scot, Kageyama, Shigetaka, Tu, Shengxian, Kozuma, Ken, Kawashima, Hideyuki, Ishibashi, Yuki, Nakazawa, Gaku, Takahashi, Kuniaki, Okamura, Takayuki, Miyazaki, Yosuke, Tateishi, Hiroki, Nakamura, Masato, Kogame, Norihiro, Asano, Taku, Nakatani, Shimpei, Morino, Yoshihiro, Ishida, Masaru, Katagiri, Yuki, De Martino, Fernando, Tinoco, João, Guimarães, Patricia O., Tanabe, Kengo, Ozaki, Yukio, Muramatsu, Takashi, Lemos, Pedro A., Onuma, Yoshinobu, and Serruys, Patrick W.

Published
2024
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11. Residual Galois representations of elliptic curves with image contained in the normaliser of a non-split Cartan

Author

Fourn, Samuel Le and Lemos, Pedro

Subjects
Mathematics - Number Theory
Abstract

It is known that if $p>37$ is a prime number and $E/\mathbb{Q}$ is an elliptic curve without complex multiplication, then the image of the mod $p$ Galois representation $$ \bar{\rho}_{E,p}:\operatorname{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})\rightarrow \operatorname{GL}(E[p]) $$ of $E$ is either the whole of $\operatorname{GL}(E[p])$, or is \emph{contained} in the normaliser of a non-split Cartan subgroup of $\operatorname{GL}(E[p])$. In this paper, we show that when $p>1.4\times 10^7$, the image of $\bar{\rho}_{E,p}$ is either $\operatorname{GL}(E[p])$, or the \emph{full} normaliser of a non-split Cartan subgroup. We use this to show the following result, partially settling a question of Najman. For $d\geq 1$, let $I(d)$ denote the set of primes $p$ for which there exists an elliptic curve defined over $\mathbb{Q}$ and without complex multiplication admitting a degree $p$ isogeny defined over a number field of degree $\leq d$. We show that, for $d\geq 1.4\times 10^7$, we have $$ I(d)=\{p\text{ prime}:p\leq d-1\}. $$, Comment: Version accepted for publication in Algebra & Number Theory

Published
2020
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12. Clinical impact of sex differences and procedural setting in transcatheter aortic valve implantation

Author

Ravani, Lis Victória, Ribeiro, Henrique Barbosa, Calomeni, Pedro, de Brito, Fábio Sandoli, Jr, Bernardi, Fernando, Lemos, Pedro, Feres, Fausto, Siqueira, Dimytri Alexandre, Costa, Ricardo, Sarmento-Leite, Rogério, Mangione, Fernanda, Mangione, José Armando, Thiago, Luiz Eduardo Koenig São, de Lima, Valter Correia, Oliveira, Adriano Dias Dourado, Marino, Marcos Antônio, Cardoso, Carlos José Francisco, Caramori, Paulo Ricardo Avancini, Tumelero, Rogério Tadeu, Portela, Antenor Lages Fortes, Prudente, Maurício Lopes, Henriques, Leônidas Alvarenga, de Freitas Souza, Fabio Solano, Bezerra, Cristiano Guedes, de Almeida Prado Junior, Guy Fernandes, de Freitas, Leandro Zacarias Figueiredo, Nogueira, Ederlon Ferreira, Meirelle, George César Ximenes, Pope, Renato Bastos, Guérios, Ênio Eduardo, de Andrade, Pedro Beraldo, de Moura Santos, Luciano, de Sá Marchi, Mauricio Felippi, Esteves, Vinicius Borges Cardozo, and Abizaid, Alexandre

Published
2024
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13. P2Y12 inhibitor monotherapy in patients undergoing percutaneous coronary intervention

Author

Capodanno, Davide, Baber, Usman, Bhatt, Deepak L., Collet, Jean-Philippe, Dangas, George, Franchi, Francesco, Gibson, C. Michael, Gwon, Hyeon-Cheol, Kastrati, Adnan, Kimura, Takeshi, Lemos, Pedro A., Lopes, Renato D., Mehran, Roxana, O’Donoghue, Michelle L., Rao, Sunil V., Rollini, Fabiana, Serruys, Patrick W., Steg, Philippe G., Storey, Robert F., Valgimigli, Marco, Vranckx, Pascal, Watanabe, Hirotoshi, Windecker, Stephan, and Angiolillo, Dominick J.

Published
2022
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14. Padrões de tomografia computadorizada da COVID-19 em pacientes em terapia renal substitutiva

Author

Carmo, Gabriel Assis Lopes do, primary, Oliveira, Mariana Paiva, additional, Campos, Anna Luiza Lino, additional, Couto, Bráulio Roberto Gonçalves Marinho, additional, Carmo, Lilian Pires de Freitas do, additional, Cerqueira, Tiago Lemos, additional, Souza, Camila Alencar Monteiro de, additional, Goll, Yan Lopes, additional, Souza, Vitor Santos de, additional, Vieira, Mariana Oliveira Guimarães, additional, Castro, Pedro Alves Soares Vaz de, additional, Lemos, Pedro Augusto Botelho, additional, and Silva, Ana Cristina Simões e, additional

Published
2024
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15. COVID-19 Computed tomography patterns in renal replacement therapy patients

Author

Carmo, Gabriel Assis Lopes do, primary, Oliveira, Mariana Paiva, additional, Campos, Anna Luiza Lino, additional, Couto, Bráulio Roberto Gonçalves Marinho, additional, Carmo, Lilian Pires de Freitas do, additional, Cerqueira, Tiago Lemos, additional, Souza, Camila Alencar Monteiro de, additional, Goll, Yan Lopes, additional, Souza, Vitor Santos de, additional, Vieira, Mariana Oliveira Guimarães, additional, Castro, Pedro Alves Soares Vaz de, additional, Lemos, Pedro Augusto Botelho, additional, and Silva, Ana Cristina Simões e, additional

Published
2024
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16. Some cases of Serre's uniformity problem

Author

Lemos, Pedro

Subjects
Mathematics - Number Theory
Abstract

We show that if $E/\mathbb{Q}$ is an elliptic curve without complex multiplication and for which there is a prime $q$ such that the image of $\bar{\rho}_{E,q}$ is contained in the normaliser of a split Cartan subgroup of $\rm{GL}_2(\mathbb{F}_q)$, then $\bar{\rho}_{E,p}$ surjects onto $\rm{GL}_2(\mathbb{F}_p)$ for every prime $p>37$. This result complements a previous result by the author. We also prove analogue results for certain families of $\mathbb{Q}$-curves, building on results of Ellenberg (2004) and Le Fourn (2016)., Comment: Changes made: some typos were corrected

Published
2018

18. Individual Patient Data Meta-analysis of Drug-eluting Versus Bare-metal Stents for Percutaneous Coronary Intervention in Chronic Versus Acute Coronary Syndromes

Author

Piccolo, Raffaele, Bonaa, Kaare H., Efthimiou, Orestis, Varenne, Olivier, Baldo, Andrea, Urban, Philip, Kaiser, Christoph, de Belder, Adam, Lemos, Pedro A., Wilsgaard, Tom, Reifart, Jörg, Ribeiro, Expedito E., Serruys, Patrick WJC, Byrne, Robert A., de la Torre Hernandez, Jose M., Esposito, Giovanni, Wijns, William, Jüni, Peter, Windecker, Stephan, and Valgimigli, Marco

Published
2022
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19. Sustained Safety and Performance of a Second-Generation Sirolimus-Eluting Absorbable Metal Scaffold: Long-Term Data of the BIOSOLVE-II First-in-Man Trial at 5 Years

Author

Haude, Michael, Toelg, Ralph, Lemos, Pedro Alves, Christiansen, Evald Høj, Abizaid, Alexandre, von Birgelen, Clemens, Neumann, Franz-Josef, Wijns, William, Ince, Hüseyin, Kaiser, Christoph, Lim, Soo Teik, Escaned, Javier, Eeckhout, Eric, Garcia-Garcia, Hector M., and Waksman, Ron

Published
2022
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20. Serre's Uniformity Conjecture for Elliptic Curves with Rational Cyclic Isogenies

Author

Lemos, Pedro

Subjects
Mathematics - Number Theory
Abstract

Let $E$ be an elliptic curve over $\mathbb{Q}$ such that $\mathrm{End}_{\bar{\mathbb{Q}}}(E)=\mathbb{Z}$ and which admits a non-trivial cyclic $\mathbb{Q}$-isogeny. We prove that, for $p>37$, the residual mod $p$ Galois representation $\bar{\rho}_{E,p}:G_{\mathbb{Q}}\rightarrow\mathrm{GL}_2(\mathbb{F}_p)$ is surjective., Comment: Changes from version 1: typo in page 1 corrected; brief description of Mazur's formal immersion method in page 2 improved

Published
2017

21. Defining Strategies of Modulation of Antiplatelet Therapy in Patients With Coronary Artery Disease: A Consensus Document from the Academic Research Consortium

Author

Capodanno, Davide, Mehran, Roxana, Krucoff, Mitchell W., Baber, Usman, Bhatt, Deepak L., Capranzano, Piera, Collet, Jean-Philippe, Cuisset, Thomas, De Luca, Giuseppe, De Luca, Leonardo, Farb, Andrew, Franchi, Francesco, Gibson, C. Michael, Hahn, Joo-Yong, Hong, Myeong-Ki, James, Stefan, Kastrati, Adnan, Kimura, Takeshi, Lemos, Pedro A., Lopes, Renato D., Magee, Adrian, Matsumura, Ryosuke, Mochizuki, Shuichi, O’Donoghue, Michelle L., Pereira, Naveen L., Rao, Sunil V., Rollini, Fabiana, Shirai, Yuko, Sibbing, Dirk, Smits, Peter C., Steg, P. Gabriel, Storey, Robert F., ten Berg, Jurrien, Valgimigli, Marco, Vranckx, Pascal, Watanabe, Hirotoshi, Windecker, Stephan, Serruys, Patrick W., Yeh, Robert W., Morice, Marie-Claude, and Angiolillo, Dominick J.

Published
2023
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25. Drug-eluting or bare-metal stents for percutaneous coronary intervention: a systematic review and individual patient data meta-analysis of randomised clinical trials

Author

Piccolo, Raffaele, Bonaa, Kaare H., Efthimiou, Orestis, Varenne, Olivier, Baldo, Andrea, Urban, Philip, Kaiser, Christoph, Remkes, Wouter, Räber, Lorenz, de Belder, Adam, van't Hof, Arnoud W.J., Stankovic, Goran, Lemos, Pedro A., Wilsgaard, Tom, Reifart, Jörg, Rodriguez, Alfredo E., Ribeiro, Expedito E., Serruys, Patrick W.J.C., Abizaid, Alex, Sabaté, Manel, Byrne, Robert A., de la Torre Hernandez, Jose M., Wijns, William, Jüni, Peter, Windecker, Stephan, Valgimigli, Marco, Bonaa, Kaare H, van 't Hof, Arnoud W J, Lemos, Pedro A, Rodriguez, Alfredo E, Ribeiro, Expedito E, Serruys, Patrick W J C, Byrne, Robert A, and de la Torre Hernandez, Jose M

Published
2019
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27. Impact of Endothelial Shear Stress on Absorption Process of Resorbable Magnesium Scaffold: A BIOSOLVE-II Substudy

Author

Ozaki, Yuichi, Kuku, Kayode O., Sakellarios, Antonis, Haude, Michael, Hideo-Kajita, Alexandre, Desale, Sameer, Siogkas, Panagiotis, Sioros, Spyros, Ince, Hüseyin, Abizaid, Alexandre, Tölg, Ralph, Lemos, Pedro Alves, von Birgelen, Clemens, Christiansen, Evald Høj, Wijns, William, Escaned, Javier, Michalis, Lampros, Fotiadis, Dimitrios I., Djikstra, Jouke, Waksman, Ron, and Garcia-Garcia, Hector M.

Published
2021
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29. Seattle Angina Pectoris Questionnaire and Canadian Cardiovascular Society Angina Categories in the Assessment of Total Coronary Atherosclerotic Burden

Author

Guimarães, Welingson Vanucci Negreiros, Nicz, Pedro Felipe Gomes, Garcia-Garcia, Hector M., Abizaid, Alexandre, Santos, Luciano de Moura, Rosa, Vitor E., Ribeiro, Marcelo Harada, Mehta, Sameer, Ribeiro, Expedito, Lemos, Pedro A., Brito, Fábio S., Jr., Hajjar, Ludhmila, Filho, Roberto Kalil, and Campos, Carlos M

Published
2021
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30. Natural History of Adapted Leaman Score Assessing Coronary Artery Disease Progression by Computed Tomography Angiography: A 7-Year Follow-Up Report

Author

Hideo-Kajita, Alexandre, Garcia-Garcia, Hector M., Rubarth, Rodrigo, Wopperer, Samuel, Ozaki, Yuichi, Freire, Antonio Fernando Diniz, Cavalcante, Rafael, Bittencourt, Marcio, Dan, Kazuhiro, Pinheiro, Thais L., Falcão, Breno A.A., Falcao, Joao Luis A, Soares, Paulo, Ribeiro, Expedito, Rochitte, Carlos E., and Lemos, Pedro Alves

Published
2021
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33. Comparative clinical performance of two types of drug-eluting stents with abluminal biodegradable polymer coating: Five-year results of the DESTINY randomized trial

Author

Prado Jr, Guy F.A., Abizaid, Alexandre A.C., Meireles, George C., Sarmento-Leite, Rogério, Prudente, Mauricio, Cantarelli, Marcelo, Dourado, Adriano D., Jr, Jose Mariani, Perin, Marco A., Costantini, Costantino, Costa, Ricardo, Costa, J. Ribamar, Chamie, Daniel, Campos, Carlos M., Ribeiro, Expedito E., and Lemos, Pedro A.

Published
2021
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35. Residual Representations of Semistable Principally Polarized Abelian Varieties

Author

Anni, Samuele, Lemos, Pedro, and Siksek, Samir

Subjects
Mathematics - Number Theory, 11F80
Abstract

Let $A$ be a semistable principally polarized abelian variety of dimension $d$ defined over the rationals. Let $\ell$ be a prime and let $\bar{\rho}_{A,\ell} : G_{\mathbb{Q}} \rightarrow \mathrm{GSp}_{2d}(\mathbb{F}_\ell)$ be the representation giving the action of $G_{\mathrm{Q}} :=\mathrm{Gal}(\bar{\mathrm{Q}}/\mathrm{Q})$ on the $\ell$-torsion group $A[\ell]$. We show that if $\ell \ge \max(5,d+2)$, and if image of $\bar{\rho}_{A,\ell}$ contains a transvection then $\bar{\rho}_{A,\ell}$ is either reducible or surjective. With the help of this we study surjectivity of $\bar{\rho}_{A,\ell}$ for semistable principally polarized abelian threefolds, and give an example of a genus $3$ hyperelliptic curve $C/\mathbb{Q}$ such that $\bar{\rho}_{J,\ell}$ is surjective for all primes $\ell \ge 3$, where $J$ is the Jacobian of $C$., Comment: Paper has appeared in Research in Number Theory

Published
2015
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36. Residual representations of Abelian varieties

Author

Lemos, Pedro

Subjects
510, QA Mathematics
Abstract

This thesis is divided in two parts, corresponding to two papers in which I collaborated during the course of my PhD studies. Both of these parts are concerned with the question of surjectivity of residual Galois representations arising from abelian varieties defined over Q. At the start of each chapter, a full introduction to the topic covered is provided.

Published
2017

37. Ultra-high-resolution CT vs. invasive angiography for detecting hemodynamically significant coronary artery disease: Rationale and methods of the CORE-PRECISION multicenter study.

Author

Scarpa Matuck, Bruna R., Akino, Naruomi, Bakhshi, Hooman, Cox, Christopher, Ebrahimihoor, Elnaz, Ishida, Masaru, Lemos, Pedro A., Lima, Joao A.C., Matheson, Matthew B., Orii, Makoto, Ostovaneh, Aysa, Ostovaneh, Mohammad R., Schuijf, Joanne D., Szarf, Gilberto, Trost, Jeffrey C., Yoshioka, Kunihiro, and Arbab-Zadeh, Armin

Published
2024
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38. Balloon‐expandable versus self‐expanding valves for transcatheter aortic valve replacement using new generation devices: An analysis of the Brazilian RIBAC‐NT registry.

Author

Bernardi, Fernando L. M., Abizaid, Alexandre, Sândoli de Brito, Fábio, Lemos, Pedro, Siqueira, Dimytri Alexandre, Sarmento‐Leite, Rogério, Mangione, Fernanda, Fernando de Almeida Prado Junior, Guy, Eduardo Koenig São Thiago, Luiz, Ribeiro, Henrique B., Costa, Ricardo, de Lima, Valter Correia, Oliveira, Adriano Dias Dourado, Marino, Marcos Antônio, Cardoso, Carlos José Francisco, Caramori, Paulo Ricardo Avancini, Tumelero, Rogério Tadeu, Portela, Antenor Lages Fortes, Prudente, Maurício Lopes, and Henriques, Leônidas Alvarenga

Published
2024
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39. Aspirin-Free Prasugrel Monotherapy Following Coronary Artery Stenting in Patients With Stable CAD: The ASET Pilot Study

Author

Kogame, Norihiro, Guimarães, Patricia O., Modolo, Rodrigo, De Martino, Fernando, Tinoco, Joao, Ribeiro, Expedito E., Kawashima, Hideyuki, Ono, Masafumi, Hara, Hironori, Wang, Rutao, Cavalcante, Rafael, Moulin, Bruno, Falcão, Breno A.A., Leite, Rogerio S., de Almeida Sampaio, Fernanda Barbosa, Morais, Gustavo R., Meireles, George C., Campos, Carlos M., Onuma, Yoshinobu, Serruys, Patrick W., and Lemos, Pedro A.

Published
2020
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40. Quantitative Assessment of Acute Regurgitation Following TAVR: A Multicenter Pooled Analysis of 2,258 Valves

Author

Modolo, Rodrigo, Chang, Chun Chin, Abdelghani, Mohammad, Kawashima, Hideyuki, Ono, Masafumi, Tateishi, Hiroki, Miyazaki, Yosuke, Pighi, Michele, Wykrzykowska, Joanna J., de Winter, Robbert J., Ruck, Andreas, Chieffo, Alaide, van Mourik, Martijn S., Yamaji, Kyohei, Richardt, Gert, de Brito, Fabio S., Jr., Lemos, Pedro A., Al-Kassou, Baravan, Piazza, Nicolo, Tchetche, Didier, Sinning, Jan-Malte, Abdel-Wahab, Mohamed, Soliman, Osama, Søndergaard, Lars, Mylotte, Darren, Onuma, Yoshinobu, Van Mieghem, Nicolas M., and Serruys, Patrick W.

Published
2020
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41. Association of Pulse Pressure With Clinical Outcomes in Patients Under Different Antiplatelet Strategies After Percutaneous Coronary Intervention: Analysis of GLOBAL LEADERS

Author

de Faria, Ana Paula, Modolo, Rodrigo, Chichareon, Ply, Chang, Chun-Chin, Kogame, Norihiro, Tomaniak, Mariusz, Takahashi, Kuniaki, Rademaker-Havinga, Tessa, Wykrzykowska, Joanna, de Winter, Rob J., Ferreira, Rui C., Sousa, Amanda, Lemos, Pedro A., Garg, Scot, Hamm, Christian, Juni, Peter, Vranckx, Pascal, Valgimigli, Marco, Windecker, Stephan, Onuma, Yoshinobu, Steg, Philippe Gabriel, and Serruys, Patrick W.

Published
2020
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43. Comparison of clinical outcomes between Magmaris and Orsiro drug eluting stent at 12 months: Pooled patient level analysis from BIOSOLVE II–III and BIOFLOW II trials

Author

Hideo-Kajita, Alexandre, Garcia-Garcia, Hector M., Kolm, Paul, Azizi, Viana, Ozaki, Yuichi, Dan, Kazuhiro, Ince, Hüseyin, Kische, Stephan, Abizaid, Alexandre, Töelg, Ralph, Lemos, Pedro Alves, Van Mieghem, Nicolas M., Verheye, Stefan, von Birgelen, Clemens, Christiansen, Evald Høj, Wijns, William, Lefèvre, Thierry, Windecker, Stephan, Waksman, Ron, and Haude, Michael

Published
2020
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48. Correlation between computed tomography adapted leaman score and computed tomography liver and spleen attenuation parameters for non-alcoholic fatty liver disease as well as respective inflammatory mediators

Author

Hideo-Kajita, Alexandre, Garcia-Garcia, Hector M., Wopperer, Samuel B., Freire, Antonio Fernando Diniz, Ozaki, Yuichi, Cavalcante, Rafael, Bittencourt, Marcio Sommer, Dan, Kazuhiro, Soud, Mohamad, Pinheiro, Thais L., Falcão, Breno A. A., Falcão, João L. A., Soares, Paulo, Ribeiro, Expedito, Rochitte, Carlos E., and Lemos, Pedro Alves

Published
2020
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49. Comparative effectiveness of coronary artery stenosis and atherosclerotic plaque burden assessment for predicting 30-day revascularization and 2-year major adverse cardiac events

Author

Kishi, Satoru, Magalhães, Tiago A., Cerci, Rodrigo J., Zimmermann, Elke, Matheson, Matthew B., Vavere, Andrea, Tanami, Yutaka, Kitslaar, Pieter H., George, Richard T., Brinker, Jeffrey, Miller, Julie M., Clouse, Melvin E., Lemos, Pedro A., Niinuma, Hiroyuki, Reiber, Johan H. C., Kofoed, Klaus F., Rochitte, Carlos E., Rybicki, Frank J., Di Carli, Marcelo F., Cox, Christopher, Lima, Joao A. C., and Arbab-Zadeh, Armin

Published
2020
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50. A three-dimensional quantification of calcified and non-calcified plaques in coronary arteries based on computed tomography coronary angiography images: Comparison with expert's annotations and virtual histology intravascular ultrasound

Author

Kigka, Vassiliki I., Sakellarios, Antonis, Kyriakidis, Savvas, Rigas, George, Athanasiou, Lambros, Siogkas, Panagiotis, Tsompou, Panagiota, Loggitsi, Dimitra, Benz, Dominik C., Buechel, Ronny, Lemos, Pedro A., Pelosi, Gualtiero, Michalis, Lampros K., and Fotiadis, Dimitrios I.

Published
2019
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