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19 results on '"Dipartimento de Matematica [Milano]"'

1. Apprentissage d'automates et de transducteurs: une approche catégorique

Author

Colcombet, Thomas, Petrişan, Daniela, Stabile, Riccardo, Institut de Recherche en Informatique Fondamentale (IRIF (UMR_8243)), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Centre National de la Recherche Scientifique (CNRS), Dipartimento de Matematica [Milano], and Università degli Studi di Milano [Milano] (UNIMI)

Subjects
transducer, TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES, TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES, learning, [INFO.INFO-FL]Computer Science [cs]/Formal Languages and Automata Theory [cs.FL], automata, category, [INFO]Computer Science [cs], Nonlinear Sciences::Cellular Automata and Lattice Gases, Computer Science::Formal Languages and Automata Theory
Abstract

International audience; In this paper, we present a categorical approach to learning automata over words, in the sense of the L∗-algorithm of Angluin. This yields a new generic L∗-like algorithm which can be instantiated for learning deterministic automata, automata weighted over fields, as well as subsequential transducers. The generic nature of our algorithm is obtained by adopting an approach in which automata are simply functors from a particular category representing words to a “computation category”. We establish that the sufficient properties for yielding the existence of minimal automata (that were disclosed in a previous paper), in combination with some additional hypotheses relative to termination, ensure the correctness of our generic algorithm.

Published
2021
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2. Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation

Author

Didier Robert, Benoît Grébert, Alberto Maspero, Dario Bambusi, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Laboratoire de Mathématiques Jean Leray (LMJL), Centre National de la Recherche Scientifique (CNRS)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN), and ANR-15-CE40-0001,BEKAM,Au-delà de la théorie KAM(2015)

Subjects
FOS: Physical sciences, 35J10, 37K55, Perturbation (astronomy), 01 natural sciences, 37K55, 35J10, Mathematics - Analysis of PDEs, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], Settore MAT/05 - Analisi Matematica, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, Time complexity, Growth of Sobolev norms, Harmonic oscillators, Reducibility, Analysis, Numerical Analysis, Applied Mathematics, Mathematical Physics, Mathematics, 010102 general mathematics, Mathematical analysis, Mathematical Physics (math-ph), reducibility, harmonic oscillators, Linear map, Quantum harmonic oscillator, growth of Sobolev norms, 010307 mathematical physics, Analysis of PDEs (math.AP)
Abstract

We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree two in $x_j$, $-i \partial_j$ with coefficients which depend quasiperiodically on time., fixed some misprints

Published
2018
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3. DISPERSIVE ESTIMATE FOR QUASI-PERIODIC SCHRÖDINGER OPERATORS ON 1-d LATTICES

Author

Dario Bambusi, Zhiyan Zhao, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
General Mathematics, Diophantine equation, 010102 general mathematics, 01 natural sciences, symbols.namesake, Operator (computer programming), Norm (mathematics), 0103 physical sciences, symbols, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 010307 mathematical physics, 0101 mathematics, Quasi periodic, Schrödinger's cat, ComputingMilieux_MISCELLANEOUS, Mathematical physics, Mathematics
Abstract

Consider the one-dimensional discrete Schrodinger operator H θ : ( H θ q ) n = − ( q n + 1 + q n − 1 ) + V ( θ + n ω ) q n , n ∈ Z , with ω ∈ R d Diophantine, and V a real-analytic function on T d = ( R / 2 π Z ) d . For V sufficiently small, we prove the dispersive estimate: for every ϕ ∈ l 1 ( Z ) , (1) ‖ e − i t H θ ϕ ‖ l ∞ ≤ K 0 | ln ⁡ e 0 | a ( ln ⁡ ln ⁡ ( 2 + 〈 t 〉 ) ) 2 d 〈 t 〉 1 3 ‖ ϕ ‖ l 1 , 〈 t 〉 : = 1 + t 2 , with a and K 0 two absolute constants and e 0 an analytic norm of V. The estimate holds for every θ ∈ T d .

Published
2020
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4. On approximate solutions of the equations of incompressible magnetohydrodynamics

Author

Livio Pizzocchero, Emanuele Tassi, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Joseph Louis LAGRANGE (LAGRANGE), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Observatoire de la Côte d'Azur, COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Université Côte d'Azur (UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - E7 Systèmes dynamiques : théories et applications, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Università degli Studi di Milano = University of Milan (UNIMI), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de la Côte d'Azur, and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Université Côte d'Azur (UCA)-Université Côte d'Azur (UCA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Magnetohydrodynamics MHD, Mathematics::Analysis of PDEs, FOS: Physical sciences, 01 natural sciences, Upper and lower bounds, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Initial value problem, 35Q35, 76W05, [MATH]Mathematics [math], 0101 mathematics, Galerkin method, Mathematical Physics, Mathematics, Cauchy problem, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Mathematical Physics (math-ph), Existence and regularity theory, 010101 applied mathematics, Sobolev space, A posteriori analysis, Exact solutions in general relativity, Flow (mathematics), Theoretical approximation, Vector field, Analysis, Analysis of PDEs (math.AP)
Abstract

Inspired by an approach proposed previously for the incompressible Navier-Stokes (NS) equations, we present a general framework for the a posteriori analysis of the equations of incompressible magnetohydrodynamics (MHD) on a torus of arbitrary dimension d; this setting involves a Sobolev space of infinite order, made of C^infinity vector fields (with vanishing divergence and mean) on the torus. Given any approximate solution of the MHD Cauchy problem, its a posteriori analysis with the method of the present work allows to infer a lower bound on the time of existence of the exact solution, and to bound from above the Sobolev distance of any order between the exact and the approximate solution. In certain cases the above mentioned lower bound on the time of existence is found to be infinite, so one infers the global existence of the exact MHD solution. We present some applications of this general scheme; the most sophisticated one lives in dimension d=3, with the ABC flow (perturbed magnetically) as an initial datum, and uses for the Cauchy problem a Galerkin approximate solution in 124 Fourier modes. We illustrate the conclusions arising in this case from the a posteriori analysis of the Galerkin approximant; these include the derivation of global existence of the exact MHD solution with the ABC datum, when the dimensionless viscosity and resistivity are equal and stay above an explicitly given threshold value., Author's note. Some overlaps with previous works by one of us on Navier-Stokes equations, namely: arXiv:1511.00533, arXiv:1405.3421, arXiv:1402.0487, arXiv:1310.5642, arXiv:1304.2972, arXiv:1203.6865, arXiv:1104.3832, arXiv:1009.2051, arXiv:1007.4412, arXiv:0909.3707, arXiv:0709.1670. The present work has a different subject (MHD), and the overlaps are to make the paper self-contained

Published
2020
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5. Liouville type results for a nonlocal obstacle problem

Author

Enrico Valdinoci, François Hamel, Jérôme Coville, Julien Brasseur, Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Biostatistique et Processus Spatiaux (BioSP), Institut National de la Recherche Agronomique (INRA), School of Mathematics and Statistics [Melbourne], Faculty of Science [Melbourne], University of Melbourne-University of Melbourne, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Aix Marseille Université (AMU), School of Mathematics and Statistics, The University of Western Australia (UWA), ANR-11-LABX-0033 ANR-11-IDEX-0001-02, ANR-14-CE25-0013, ANR-13-JS01-0009 Australian Research Council DP-170104880, European Project: 321186,EC:FP7:ERC,ERC-2012-ADG_20120216,READI(2013), Biostatistique et Processus Spatiaux (BIOSP), Università degli studi di Milano [Milano], and Università degli Studi di Milano = University of Milan (UNIMI)

Subjects
General Mathematics, media_common.quotation_subject, 010102 general mathematics, Regular polygon, Open set, Limiting, Type (model theory), Infinity, 01 natural sciences, 010101 applied mathematics, Combinatorics, Nonlinear system, Mathematics - Analysis of PDEs, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], Bounded function, Obstacle problem, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, ComputingMilieux_MISCELLANEOUS, Analysis of PDEs (math.AP), Mathematics, media_common
Abstract

International audience; This paper is concerned with qualitative properties of solutions to nonlocal reaction-diffusion equations of the form$$ \int_{\mathbb{R}^N\setminus K} J(x-y)\,\big( u(y)-u(x) \big)\,\D y+f(u(x))=0, \quad x\in\R^N\setminus K,$$set in a perforated open set $\mathbb{R}^N\setminus K$, where $K\subset\mathbb{R}^N$ is a bounded compact ``obstacle" and $f$ is a bistable nonlinearity. When $K$ is convex, we prove some Liouville-type results for solutions satisfying some asymptotic limiting conditions at infinity. We also establish a robustness result, assuming slightly relaxed conditions on $K$.

Published
2019
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6. Effects of statins on plaque rupture assessed by optical coherence tomography in patients presenting with acute coronary syndromes: insights from the optical coherence tomography (OCT)-FORMIDABLE registry

Author

Davide Capodanno, Christian Templin, Maurizio D'Amico, Giancarla Scalone, Fiorenzo Gaita, Giampaolo Niccoli, Sebastiano Gili, Simone Calcagno, Massimo Mancone, Claudio Moretti, Joshua Qua Hiansen, Andrea Mangiameli, Konstantinos Toutouzas, Fabrizio D'Ascenzo, Géraud Souteyrand, Fabrizio Ugo, Mario Iannaccone, Nicolas Amabile, Antonio Montefusco, Pascal Motreff, Andrea Rognoni, Pierluigi Omedè, Francesco Colombo, Erika Cavallo, Gennaro Sardella, Giacomo Boccuzzi, Corrado Tamburino, Roberto Garbo, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Groupe d'anthropologie scolastique/Equipe CRH (GAS-CRH), École des hautes études en sciences sociales (EHESS)-Centre National de la Recherche Scientifique (CNRS), Hôpital nord, St Etienne, CHU Gabriel Montpied [Clermont-Ferrand], CHU Clermont-Ferrand, Institut Pascal (IP), SIGMA Clermont (SIGMA Clermont)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020]), Università degli Studi di Milano = University of Milan (UNIMI), Centre Hospitalier Universitaire de Saint-Etienne [CHU Saint-Etienne] (CHU ST-E), and SIGMA Clermont (SIGMA Clermont)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020])-Centre National de la Recherche Scientifique (CNRS)

Subjects
Male, 030204 cardiovascular system & hematology, Severity of Illness Index, Cohort Studies, 0302 clinical medicine, Prevalence, ST segment, acute coronary syndromes, Registries, 030212 general & internal medicine, Myocardial infarction, ComputingMilieux_MISCELLANEOUS, General Medicine, Middle Aged, optical coherence tomography, statin therapy, Prognosis, Plaque, Atherosclerotic, 3. Good health, Survival Rate, Cardiology, Female, Cardiology and Cardiovascular Medicine, Tomography, Optical Coherence, medicine.medical_specialty, Acute coronary syndrome, Statin, medicine.drug_class, Drug Administration Schedule, 03 medical and health sciences, Age Distribution, [SDV.MHEP.CSC]Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular system, Internal medicine, Severity of illness, medicine, Humans, Radiology, Nuclear Medicine and imaging, cardiovascular diseases, Acute Coronary Syndrome, Sex Distribution, Survival rate, Aged, Retrospective Studies, Dose-Response Relationship, Drug, Rupture, Spontaneous, business.industry, Retrospective cohort study, Odds ratio, medicine.disease, ST Elevation Myocardial Infarction, Hydroxymethylglutaryl-CoA Reductase Inhibitors, business
Abstract

Aims Chronic pre-treatment with statins may reduce mortality and morbidity in patients experiencing acute coronary syndromes (ACS), but mechanisms accounting for these findings are not completely understood. Methods and results The optical coherence tomography (OCT)-Formidable registry retrospectively enrolled 285 consecutive patients with ACS undergoing OCT in 9 European centres. Mean age was 60.4 ± 12.8 years, 148 (51.9%) patients had hyperlipemia, 45 (15.8%) diabetes mellitus and 142 (49.8%) presented with ST Segment Elevation Myocardial Infarction (STEMI). Patients were stratified according to statin prescription: 150 (52.6%) were on chronic pre-treatment with statins before ACS and were more likely to present with non-ST segment elevation acute coronary syndromes (NSTE-ACS) at admission (111, 74%) rather than STEMI, while the opposite was observed for patients not on statins. The primary end-point of ruptured plaque at OCT occurred significantly less frequently in the patients on chronic pre-treatment with statins [odds ratio (OR) 0.375, 95% confidence interval (CI) 0.185-0.759, P = 0.006]. The secondary end-point of thin-cap fibro-atheroma (TCFA) at any site was significantly less frequent in the statin group (OR 0.423, 95%CI 0.213-0.840, P = 0.014). No differences were observed for the secondary end-point of not-ruptured TCFA as the culprit lesion. Pre-specified sensitivity analysis was conducted according to the pattern of ACS: the reported differences were confirmed for NSTE-ACS patients, with a trend towards less plaque rupture and a significant reduction of TCFA at any site with statins, but not for STEMI. Conclusions Chronic pre-treatment with statins is associated with a reduced prevalence of ruptured plaques in patients presenting with ACS, particularly in those with NSTE-ACS. Statins bear hence the potential to reduce morbidity during the acute phase of ACS.

Published
2018
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7. Optical coherence tomography compared with fractional flow reserve guided approach in acute coronary syndromes: A propensity matched analysis

Author

Massimo Mancone, Gennaro Sardella, Maurizio D'Amico, Claudio Moretti, Géraud Souteyrand, P. Omede, Mario Iannaccone, Andrea Picchi, Massimo Fineschi, Nicolas Amabile, Enrico Cerrato, Fabrizio D'Ascenzo, Pascal Motreff, Ugo Limbruno, Giuseppe Biondi-Zoccai, Fiorenzo Gaita, Filippo Zilio, Fabrizio Ugo, Giampaolo Niccoli, Francesco Colombo, Roberto Garbo, Marco Ferlini, Alberto Cresti, Ovidio De Filippo, Stefano Rigattieri, Umberto Barbero, Antonio Maria Leone, Corrado Tamburino, Salvatore Colangelo, Antonio Montefusco, Universita della Tuscia, Istituto di Genio Rurale, Hôpital nord, St Etienne, CHU Gabriel Montpied [Clermont-Ferrand], CHU Clermont-Ferrand, Institut Pascal (IP), SIGMA Clermont (SIGMA Clermont)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020]), Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Groupe d'anthropologie scolastique/Equipe CRH (GAS-CRH), École des hautes études en sciences sociales (EHESS)-Centre National de la Recherche Scientifique (CNRS), Università degli studi della Tuscia [Viterbo], Centre Hospitalier Universitaire de Saint-Etienne [CHU Saint-Etienne] (CHU ST-E), SIGMA Clermont (SIGMA Clermont)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020])-Centre National de la Recherche Scientifique (CNRS), and Università degli Studi di Milano = University of Milan (UNIMI)

Subjects
Male, medicine.medical_specialty, Acute coronary syndrome, medicine.medical_treatment, Subgroup analysis, Fractional flow reserve, 030204 cardiovascular system & hematology, Culprit, acute coronary syndrome, 03 medical and health sciences, Percutaneous Coronary Intervention, 0302 clinical medicine, [SDV.MHEP.CSC]Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular system, Internal medicine, medicine, Humans, Prospective Studies, Registries, 030212 general & internal medicine, Propensity Score, fractional flow reserve, medicine (all), ComputingMilieux_MISCELLANEOUS, Aged, Retrospective Studies, optical coherence tomography, Unstable angina, business.industry, Percutaneous coronary intervention, Middle Aged, medicine.disease, Drug eluting stent, Optical coherence tomography, Cardiology and Cardiovascular Medicine, 3. Good health, Fractional Flow Reserve, Myocardial, Drug-eluting stent, Conventional PCI, Cardiology, Female, drug eluting stent, cardiology and cardiovascular medicine, business, Tomography, Optical Coherence, Follow-Up Studies
Abstract

To compare in patients with ACS (acute coronary syndromes) a PCI (percutaneous coronary intervention) approach based on FFR (fractional flow reserve) vs. one based on OCT (optical coherence tomography).Consecutive patients admitted for ACS and treated with a PCI approach based on OCT or on FFR (recruited in two different studies) were compared and matched with propensity score analysis. Target Lesion revascularization (TLR) was the primary end point, while major adverse cardiovascular events [MACEs defined as the composite of death from cardiac causes, non-fatal MI, clinically driven target vessel revascularization (TVR), or re-hospitalization due to unstable angina] were the secondary ones. Sub-group analysis was performed for patients with FFR/OCT performed on culprit lesions and not. 285 patients were enrolled in the OCT-guided group and 335 in the FFR-guided group, 197 for each being selected after propensity score. After 25months (range: 7-39months), OCT-guided group were exposed to lower incidence of TLR (4.1% vs. 14.2% p0.01) compared with FFR-guided group without impact on MACEs (14.2% vs. 14.2%, p=1) or all-cause death (3.6% vs. 1.1%, p=0.34). At Kaplan-Maier curve analysis for MACEs OCT-guided and FFR-guided groups showed similar outcomes (HR 1.19, CI 0.65-2.2, p=0.54). Subgroup analysis on culprit and not culprit vessel demonstrated consistent results.An OCT based approach in ACS patients offers a reduction in TLR when compared to a PCI-FFR driven. These findings should be confirmed in randomized controlled trial.

Published
2017
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8. Culprit plaque characteristics in younger versus older patients with acute coronary syndromes: An optical coherence tomography study from the FORMIDABLE registry

Author

Konstantinos Toutouzas, Nicolas Amabile, Gennaro Sardella, Salvatore Colangelo, Simone Calcagno, Maurizio D'Amico, Pierluigi Omedè, Umberto Barbero, Massimo Mancone, Antonio Montefusco, Giampaolo Niccoli, Pascal Motreff, Christian Templin, Paolo Scacciatella, Fabrizio D'Ascenzo, Roberto Garbo, Corrado Tamburino, Fabrizio Ugo, Fiorenzo Gaita, Francesco Colombo, Mario Iannaccone, Claudio Moretti, Géraud Souteyrand, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Hôpital nord, St Etienne, CHU Gabriel Montpied [Clermont-Ferrand], CHU Clermont-Ferrand, Institut Pascal (IP), SIGMA Clermont (SIGMA Clermont)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020]), Groupe d'anthropologie scolastique/Equipe CRH (GAS-CRH), École des hautes études en sciences sociales (EHESS)-Centre National de la Recherche Scientifique (CNRS), University of Zurich, Barbero, Umberto, Università degli Studi di Milano = University of Milan (UNIMI), Centre Hospitalier Universitaire de Saint-Etienne [CHU Saint-Etienne] (CHU ST-E), and SIGMA Clermont (SIGMA Clermont)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020])-Centre National de la Recherche Scientifique (CNRS)

Subjects
Carotid Artery Diseases, Male, medicine.medical_treatment, Statistical difference, Juvenile, Ddug eluting stent, 030204 cardiovascular system & hematology, 0302 clinical medicine, Older patients, Nuclear Medicine and Imaging, Prevalence, Registries, 030212 general & internal medicine, ComputingMilieux_MISCELLANEOUS, Acute coronary syndrome, Drug eluting stent, Optical coherence tomography, Young, Radiology, Nuclear Medicine and Imaging, Cardiology and Cardiovascular Medicine, medicine.diagnostic_test, Age Factors, General Medicine, Middle Aged, Prognosis, Plaque, Atherosclerotic, 3. Good health, Europe, Carotid Arteries, Drug-eluting stent, 10209 Clinic for Cardiology, Female, Radiology, Tomography, Optical Coherence, Adult, medicine.medical_specialty, 610 Medicine & health, Culprit, 2705 Cardiology and Cardiovascular Medicine, 03 medical and health sciences, [SDV.MHEP.CSC]Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular system, Predictive Value of Tests, Internal medicine, medicine, Humans, 2741 Radiology, Nuclear Medicine and Imaging, Radiology, Nuclear Medicine and imaging, Thrombus, Vascular Calcification, Aged, Retrospective Studies, Rupture, Spontaneous, business.industry, medicine.disease, Fibrosis, Surgery, acute coronary syndrome, juvenile, optical coherence tomography, young, radiology, nuclear medicine and imaging, cardiology and cardiovascular medicine, Atheroma, business
Abstract

Objectives Culprit plaque characteristics in young patients who experience an Acute Coronary Syndrome (ACS) evaluated by OCT (Optical Coherence Tomography) have to be defined. The OCT-FORMIDABLE is a multicentre retrospective registry enrolling consecutive patients with ACS who performed OCT in 9 European centres. Methods Patients were divided in two groups according to age at presentation: juvenile-ACS (age ≤ 50 years) and not juvenile-ACS (age > 50 years). Primary end-point was the prevalence of plaque rupture (PR). Secondary end point was the prevalence of thin cap fibro atheroma (TCFA), fibrocalcific and fibrotic plaque. Results 285 patients were included, 71 (24.9%) in juvenile-ACS group and 215 (75.1%) in not juvenile-ACS group. Younger patients showed a trend for a higher prevalence of TCFA (70 vs. 58%, P = 0.06) and thrombus presence (62 vs. 51%, P = 0.1), while no statistical difference concerning PR (70 vs. 64%, P = 0.29). Of interest patients younger that 35 years showed a higher prevalence of PR compared to patients aged between 35 and 45 or 45 and 50 years (100 vs. 72 vs. 55%, P = 0.03). Culprit plaque in juvenile-ACS group showed more frequently a reduced mean cap thickness (119 ± 66 vs. 155 ± 95 nm, P = 0.05) and less frequently fibrotic (32 vs. 57%, P

Published
2017
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9. Impact of an optical coherence tomography guided approach in acute coronary syndromes. a propensity matched analysis from the international formidable-cardiogroup IV and USZ registry

Author

Mario, Iannaccone, Fabrizio, D'Ascenzo, Antonio H, Frangieh, Giampaolo, Niccoli, Fabrizio, Ugo, Giacomo, Boccuzzi, Maurizio, Bertaina, Massimo, Mancone, Antonio, Montefusco, Nicolas, Amabile, Gennaro, Sardella, Pascal, Motreff, Konstantinos, Toutouzas, Francesco, Colombo, Roberto, Garbo, Giuseppe, Biondi-Zoccai, Corrado, Tamburino, Pierluigi, Omedè, Claudio, Moretti, Maurizio, D'amico, Geraud, Souteyrand, Pascal, Meieir, Thomas F, Lüscher, Fiorenzo, Gaita, Christian, Templin, Groupe d'anthropologie scolastique/Equipe CRH (GAS-CRH), École des hautes études en sciences sociales (EHESS)-Centre National de la Recherche Scientifique (CNRS), Hôpital nord, St Etienne, CHU Gabriel Montpied [Clermont-Ferrand], CHU Clermont-Ferrand, Institut Pascal (IP), SIGMA Clermont (SIGMA Clermont)-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020]), Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Centre Hospitalier Universitaire de Saint-Etienne [CHU Saint-Etienne] (CHU ST-E), SIGMA Clermont (SIGMA Clermont)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020])-Centre National de la Recherche Scientifique (CNRS), and Università degli Studi di Milano = University of Milan (UNIMI)

Subjects
Male, Time Factors, acute coronary syndrome, drug eluting stent, optical coherence tomography, Radiology, Nuclear Medicine and Imaging, Cardiology and Cardiovascular Medicine, Coronary Angiography, Percutaneous Coronary Intervention, [SDV.MHEP.CSC]Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular system, Predictive Value of Tests, Recurrence, Risk Factors, Nuclear Medicine and Imaging, Humans, Angina, Unstable, Registries, Non-ST Elevated Myocardial Infarction, Propensity Score, ComputingMilieux_MISCELLANEOUS, Aged, Retrospective Studies, Coronary Thrombosis, Middle Aged, Europe, Treatment Outcome, Multivariate Analysis, ST Elevation Myocardial Infarction, Female, Stents, Radiology, Tomography, Optical Coherence
Abstract

To determine the potential clinical impact of OCT (Optical Coherence Tomography) during primary percutaneous coronary intervention in patients presenting with ACS (Acute Coronary Syndrome).FORMIDABLE is a multicentre retrospective registry enrolling all patients presenting with ACS and treated with an OCT-guided approach, while the USZ registry enrolled patients treated with a standard angiography guided approach. Multivariate adjustment was performed via a propensity score matching. The number stents useds was the primary outcome, while the incidence of MACE (a composite of death, myocardial infarction, target vessel revascularization, and stent thrombosis) was the secondary endpoint. A total of 285 patients OCT-guided and 1,547 angiography guided patients were enrolled, resulting in 270 for each cohort after propensity score with matching. Two stents were used in 12% versus 34%; 3 stents in 8% versus 38% of the patients (P 0.001). After a follow up of 700 days (450-890), there was no difference in myocardial infarction (6% vs. 6%, P = 0.86), while MACE (11% vs. 16%, P = 0.06), target vessel revascularization (2% vs. 4%, P = 0.15) and stent thrombosis rates (0% vs. 2.7%, P = 0.26) were numerically lower for the OCT-guided cohort but none of these endpoints did reach statistical significance.An OCT-guided approach reduced the number of stents used, number of patients treated with more than one stent, while there was no statistically significant difference in clinical endpoints while most of them were numerically lower, including stent thrombosis rates. © 2016 Wiley Periodicals, Inc.

Published
2017
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10. Existence and stability of ground states for fully discrete approximations of the nonlinear Schrödinger equation

Author

Benoît Grébert, Dario Bambusi, Erwan Faou, Dipartimento de Matematica [Milano], Università degli studi di Milano [Milano], Invariant Preserving SOlvers ( IPSO ), Institut de Recherche Mathématique de Rennes ( IRMAR ), Université de Rennes 1 ( UR1 ), Université de Rennes ( UNIV-RENNES ) -Université de Rennes ( UNIV-RENNES ) -AGROCAMPUS OUEST-École normale supérieure - Rennes ( ENS Rennes ) -Institut National de Recherche en Informatique et en Automatique ( Inria ) -Institut National des Sciences Appliquées ( INSA ) -Université de Rennes 2 ( UR2 ), Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS ) -Université de Rennes 1 ( UR1 ), Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS ) -Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique ( Inria ), Université de Rennes ( UNIV-RENNES ) -Centre National de la Recherche Scientifique ( CNRS ), Laboratoire de Mathématiques Jean Leray ( LMJL ), Université de Nantes ( UN ) -Centre National de la Recherche Scientifique ( CNRS ), Università degli Studi di Milano = University of Milan (UNIMI), Invariant Preserving SOlvers (IPSO), Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Laboratoire de Mathématiques Jean Leray (LMJL), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS), Università degli Studi di Milano [Milano] (UNIMI), AGROCAMPUS OUEST, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-AGROCAMPUS OUEST, Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Inria Rennes – Bretagne Atlantique, Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Centre National de la Recherche Scientifique (CNRS)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Université de Nantes (UN)-Université de Nantes (UN)

Subjects
Mathematics::Analysis of PDEs, 010103 numerical & computational mathematics, 01 natural sciences, Discrete nonlinear Schrödinger equation, symbols.namesake, Modified Hamiltonian, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Nonlinear Sciences::Pattern Formation and Solitons, Nonlinear Schrödinger equation, Real line, Mathematics, Spacetime, Applied Mathematics, Courant–Friedrichs–Lewy condition, Mathematical analysis, Numerical soliton, 37M15, 65P40, 37K40, Numerical Analysis (math.NA), [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA], 010101 applied mathematics, Computational Mathematics, Norm (mathematics), Dirichlet boundary condition, Backward error analysis, symbols, Ground state, Stability, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Symplectic geometry
Abstract

In this paper we study the long time behavior of a discrete approximation in time and space of the cubic nonlinear Schr\"odinger equation on the real line. More precisely, we consider a symplectic time splitting integrator applied to a discrete nonlinear Schr\"odinger equation with additional Dirichlet boundary conditions on a large interval. We give conditions ensuring the existence of a numerical soliton which is close in energy norm to the continuous soliton. Such result is valid under a CFL condition between the time and space stepsizes. Furthermore we prove that if the initial datum is symmetric and close to the continuous soliton, then the associated numerical solution remains close to the orbit of the continuous soliton for very long times., Comment: 2012-25

Published
2012
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11. Almost global existence for a fractional Schrodinger equation on spheres and tori

Author

Dario Bambusi, Yannick Sire, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Laboratoire d'Analyse, Topologie, Probabilités (LATP), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Università degli Studi di Milano = University of Milan (UNIMI)

Subjects
Pure mathematics, fractional Schrödinger equation, 01 natural sciences, Schrödinger equation, symbols.namesake, almost global existence, Mathematics - Analysis of PDEs, 0103 physical sciences, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Physics, Applied Mathematics, Operator (physics), 010102 general mathematics, Torus, Function (mathematics), Mathematics::Spectral Theory, Sobolev space, Square-integrable function, symbols, SPHERES, 010307 mathematical physics, Fractional Laplacian, Analysis, Analysis of PDEs (math.AP), 37K05, 35Q55, 35R11
Abstract

iψt = (−∆) ψ + f(|ψ|)ψ, x ∈ S or x ∈ T , (1) where (−∆) is the spectrally defined fractional Laplacian, i.e. the s-th power of the LaplaceBeltrami operator −∆ and f a function of class C in a neighborhood of 0. We will study such an equation in high regularity Sobolev spaces. We denote by H the Sobolev space of the L functions which admit r weak derivatives which are square integrable. We will endow it with the norm

Published
2013
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12. From Toda to KdV

Author

Bambusi, Dario, Kappeler, Thomas, Paul, Thierry, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Institut für Mathematik [Zürich], Universität Zürich [Zürich] = University of Zurich (UZH), Centre de Mathématiques Laurent Schwartz (CMLS), and Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)

Subjects
KdV equation, integrable systems, Fermi-Pasta-Ulam, Toda system, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Abstract

International audience; For periodic Toda chains with a large number $N$ of particles we consider states which are $N^{-2}$-close to the equilibrium and constructed by discretizing arbitrary given $C^2-$functions with mesh size $N^{-1}.$ Our aim is to describe the spectrum of the Jacobi matrices $L_N$ appearing in the Lax pair formulation of the dynamics of these states as $N \to \infty$. To this end we construct two Hill operators $H_\pm$ -- such operators come up in the Lax pair formulation of the Korteweg-de Vries equation -- and prove by methods of semiclassical analysis that the asymptotics as $N \rightarrow \infty $ of the eigenvalues at the edges of the spectrum of $L_N$ are of the form $\pm (2-(2N)^{-2} \lambda ^\pm _n + \cdots )$ where $(\lambda ^\pm _n)_{n \geq 0}$ are the eigenvalues of $H_\pm $. In the bulk of the spectrum, the eigenvalues are $o(N^{-2})$-close to the ones of the equilibrium matrix. As an application we obtain asymptotics of a similar type of the discriminant, associated to $L_N$.

Published
2013

13. Dynamics of periodic Toda chains with a large number of particles

Author

Dario Bambusi, Thomas Kappeler, Thierry Paul, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Institut für Mathematik [Zürich], Universität Zürich [Zürich] = University of Zurich (UZH), Centre de Mathématiques Laurent Schwartz (CMLS), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), University of Zurich, and Kappeler, Thomas

Subjects
KdV equation, Particle number, Toda system, FOS: Physical sciences, 01 natural sciences, Mathematics - Analysis of PDEs, 510 Mathematics, 2604 Applied Mathematics, integrable systems, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], 0103 physical sciences, FOS: Mathematics, Order (group theory), [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, 010306 general physics, Korteweg–de Vries equation, Mathematical Physics, Mathematics, Fermi-Pasta-Ulam, Applied Mathematics, 2603 Analysis, 010102 general mathematics, Mathematical Physics (math-ph), 10123 Institute of Mathematics, Atomic physics, Constant (mathematics), Analysis, Analysis of PDEs (math.AP)
Abstract

For periodic Toda chains with a large number N of particles we consider states which are N − 2 -close to the equilibrium and constructed by discretizing any given C 2 -functions with mesh size N − 1 . For such states we derive asymptotic expansions of the Toda frequencies ( ω n N ) 0 n N and the actions ( I n N ) 0 n N , both listed in the standard way, in powers of N − 1 as N → ∞ . At the two edges n ∼ 1 and N − n ∼ 1 , the expansions of the frequencies are computed up to order N − 3 with an error term of higher order. Specifically, the coefficients of the expansions of ω n N and ω N − n N at order N − 3 are given by a constant multiple of the n th KdV frequencies ω n − and ω n + of two periodic potentials, q − respectively q + , constructed in terms of the states considered. The frequencies ω n N for n away from the edges are shown to be asymptotically close to the frequencies of the equilibrium. For the actions ( I n N ) 0 n N , asymptotics of a similar nature are derived.

Published
2013
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14. From Toda to KdV

Author

Bambusi, Dario, Kappeler, Thomas, Paul, Thierry, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Institut für Mathematik [Zürich], Universität Zürich [Zürich] = University of Zurich (UZH), Centre de Mathématiques Laurent Schwartz (CMLS), and Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)

Subjects
KdV equation, integrable systems, Fermi-Pasta-Ulam, Toda system, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Abstract

International audience; For periodic Toda chains with a large number $N$ of particles we consider states which are $N^{-2}$-close to the equilibrium and constructed by discretizing arbitrary given $C^2-$functions with mesh size $N^{-1}.$ Our aim is to describe the spectrum of the Jacobi matrices $L_N$ appearing in the Lax pair formulation of the dynamics of these states as $N \to \infty$. To this end we construct two Hill operators $H_\pm$ -- such operators come up in the Lax pair formulation of the Korteweg-de Vries equation -- and prove by methods of semiclassical analysis that the asymptotics as $N \rightarrow \infty $ of the eigenvalues at the edges of the spectrum of $L_N$ are of the form $\pm (2-(2N)^{-2} \lambda ^\pm _n + \cdots )$ where $(\lambda ^\pm _n)_{n \geq 0}$ are the eigenvalues of $H_\pm $. In the bulk of the spectrum, the eigenvalues are $o(N^{-2})$-close to the ones of the equilibrium matrix. As an application we obtain asymptotics of a similar type of the discriminant, associated to $L_N$.

Published
2013

15. 'Click' synthesis of a triazole-based inhibitor of Met functions in cancer cells

Author

Joan Bosch, Cristina Tintori, Daniele Passarella, Michael S. Christodoulou, Rosanna Dono, Maurizio Botta, Stella Borrelli, Alessandro Furlan, Francesco Colombo, Mercedes Amat, Flavio Maina, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Institut de Biologie du Développement de Marseille (IBDM), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Università degli Studi di Siena = University of Siena (UNISI), Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 (PhLAM), Université de Lille-Centre National de la Recherche Scientifique (CNRS), Dipartimento Farmaco Chimico Tecnologico, Universitat de Barcelona (UB), and Università degli Studi di Milano = University of Milan (UNIMI)

Subjects
Models, Molecular, MESH: Cell Line, Tumor, Stereochemistry, Clinical Biochemistry, MESH: Molecular Structure, Triazole, Pharmaceutical Science, [CHIM.THER]Chemical Sciences/Medicinal Chemistry, MESH: Proto-Oncogene Proteins c-met, [SDV.BC]Life Sciences [q-bio]/Cellular Biology, medicine.disease_cause, 01 natural sciences, Biochemistry, 03 medical and health sciences, chemistry.chemical_compound, Structure-Activity Relationship, MESH: Structure-Activity Relationship, Cell Line, Tumor, Drug Discovery, medicine, Structure–activity relationship, MESH: Protein Kinase Inhibitors, Humans, Binding site, Molecular Biology, MESH: Click Chemistry, Protein Kinase Inhibitors, ComputingMilieux_MISCELLANEOUS, 030304 developmental biology, 0303 health sciences, MESH: Humans, Molecular Structure, 010405 organic chemistry, Organic Chemistry, Proto-Oncogene Proteins c-met, Triazoles, In vitro, 0104 chemical sciences, 3. Good health, chemistry, MESH: Triazoles, Docking (molecular), Cancer cell, Click chemistry, Molecular Medicine, Click Chemistry, Carcinogenesis, MESH: Models, Molecular
Abstract

International audience; The use of Cu(I)-catalyzed azide-alkyne 1,3-dipolar cycloaddition permitted the synthesis of a new compound that is able to inhibit the HGF-induced scattering of MDCK (epithelial cells) and in vitro tumorigenesis of H1437 (non-small-cell lung cancer) and GTL-16 (human gastric carcinoma). In agreement with biochemical and biological results, docking studies within the ATP binding site of Met suggested for the new synthesized compound a binding mode similar to that of the active compound Triflorcas previously reported.

Published
2012
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16. Identification of new aminoacid amides containing the imidazo[2,1-b]benzothiazol-2-ylphenyl moiety as inhibitors of tumorigenesis by oncogenic Met signaling

Author

Mercedes Amat, Rosanna Dono, Bernard Maigret, Yasmine Asses, Daniele Passarella, Lucilla Angeli, Andrea Kover, Maurizio Botta, Patrice Dubreuil, Oreste Piccolo, Sébastien Letard, Alessandro Furlan, Nathalie Issaly, Flavio Maina, Cristina Tintori, Joan Bosch, Francesco Colombo, Vincent Leroux, Institut de Biologie du Développement de Marseille-Luminy (IBDML), Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS), Università degli Studi di Milano [Milano] (UNIMI), Universitat de Barcelona (UB), Università degli Studi di Siena = University of Siena (UNISI), Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), University of Oslo (UiO), Centre de Recherche en Cancérologie de Marseille (CRCM / U891 Inserm), Institut Paoli-Calmettes, Fédération nationale des Centres de lutte contre le Cancer (FNCLCC)-Fédération nationale des Centres de lutte contre le Cancer (FNCLCC)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS), Studio di Consulenza Scientifica, Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 (PhLAM), Université de Lille-Centre National de la Recherche Scientifique (CNRS), Dipartimento de Matematica [Milano], Università degli studi di Milano [Milano], Centre d'Immunologie de Marseille - Luminy (CIML), Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU), Università degli Studi di Siena (UNISI), Department of Chemistry [Oslo], Faculty of Mathematics and Natural Sciences [Oslo], University of Oslo (UiO)-University of Oslo (UiO), Cancérologie, Université de la Méditerranée - Aix-Marseille 2-Institut National de la Santé et de la Recherche Médicale (INSERM), Knowledge representation, reasonning (ORPAILLEUR), Inria Nancy - Grand Est, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Department of Natural Language Processing & Knowledge Discovery (LORIA - NLPKD), Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Dipartimento Farmaco Chimico Tecnologico, Institut de Biologie du Développement de Marseille (IBDM), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Yasmine, Asses, and Università degli Studi di Milano = University of Milan (UNIMI)

Subjects
Models, Molecular, Protein Conformation, [CHIM.THER]Chemical Sciences/Medicinal Chemistry, medicine.disease_cause, 01 natural sciences, User-Computer Interface, Models, Drug Discovery, Moiety, Amino Acids, ComputingMilieux_MISCELLANEOUS, [INFO.INFO-BI] Computer Science [cs]/Bioinformatics [q-bio.QM], 0303 health sciences, Met RTK Met signaling inhibitor Inhibitor binding modes Aminoacid-amide derivatives Anti-tumor agents Imidazo[2, [SDV.BIBS] Life Sciences [q-bio]/Quantitative Methods [q-bio.QM], Tumor, Chemistry, Imidazoles, Biological activity, General Medicine, 1-b]benzothiazol-2-ylphenyl moiety, Proto-Oncogene Proteins c-met, [SDV.BIBS]Life Sciences [q-bio]/Quantitative Methods [q-bio.QM], 3. Good health, Biochemistry, Signal transduction, Signal Transduction, Cell Survival, Antineoplastic Agents, Cell Line, 03 medical and health sciences, Enzyme activator, Dogs, In vivo, Cell Line, Tumor, medicine, Humans, Animals, 030304 developmental biology, Cell Proliferation, Pharmacology, 010405 organic chemistry, Cell growth, Organic Chemistry, Molecular, Amides, 0104 chemical sciences, Enzyme Activation, Drug Design, Cancer cell, [INFO.INFO-BI]Computer Science [cs]/Bioinformatics [q-bio.QM], Carcinogenesis
Abstract

International audience; The Met receptor tyrosine kinase is a promising target in anticancer therapies for its role during tumor evolution and resistance to treatment. It is characterized by an unusual structural plasticity as its active site accepts different inhibitor binding modes. Such feature can be exploited to identify distinct agents targeting tumor dependence and/or resistance by oncogenic Met. Here we report the identification of bioactive agents, featuring a new 4-(imidazo[2,1-b]benzothiazol-2-yl)phenyl moiety, targeting cancer cells dependent on oncogenic Met. One of these compounds (7c; Triflorcas) impairs survival, anchorageindependent growth, and in vivo tumorigenesis, without showing side effects. Our medicinal chemistry strategy was based on an in-house Met-focused library of aminoacid-amide derivatives enriched through structure-based computer modeling, taking into account the Met multiple-binding-mode feature. Altogether, our findings show how a rational structure-based drug design approach coupled to cell-based drug evaluation strategies can be applied in medicinal chemistry to identify new agents targeting a given oncogenic-dependency setting.

Published
2012
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17. De Toda à KdV

Author

Bambusi, Dario, Kappeler, Thomas, Paul, Thierry, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Institut für Mathematik [Zürich], Universität Zürich [Zürich] = University of Zurich (UZH), Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Nonlinear Sciences::Exactly Solvable and Integrable Systems, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Abstract

We consider the large number of particles limit of a periodic Toda lattice for a family of initial data close to the equilibrium state. We show that each of the two edges of the spectra of the corresponding Jacobi matrices is up to an error, determined by the spectra of two Hill operators, associated to this family. We then show that the spectra of the Jacobi matrices remain almost constant when the matrices evolve along the two limiting KdV equations. Finally we prove that the Toda actions, when appropriately renormalized, converge to the ones of KdV .

Published
2009

18. De Toda à KdV

Author

Bambusi, Dario, Kappeler, Thomas, Paul, Thierry, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Institut für Mathematik [Zürich], Universität Zürich [Zürich] = University of Zurich (UZH), Département de Mathématiques et Applications - ENS Paris (DMA), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)

Subjects
Nonlinear Sciences::Exactly Solvable and Integrable Systems, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Abstract

We consider the large number of particles limit of a periodic Toda lattice for a family of initial data close to the equilibrium state. We show that each of the two edges of the spectra of the corresponding Jacobi matrices is up to an error, determined by the spectra of two Hill operators, associated to this family. We then show that the spectra of the Jacobi matrices remain almost constant when the matrices evolve along the two limiting KdV equations. Finally we prove that the Toda actions, when appropriately renormalized, converge to the ones of KdV .

Published
2009

19. Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds

Author

Bambusi, Dario, Delort, Jean-Marc, Grebert, Benoit, Szeftel, Jeremie, Dipartimento de Matematica [Milano], Università degli Studi di Milano [Milano] (UNIMI), Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Institut Galilée-Université Paris 13 (UP13), Laboratoire de Mathématiques Jean Leray (LMJL), Centre National de la Recherche Scientifique (CNRS)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN), Laboratoire de Mathématiques Appliquées de Bordeaux (MAB), Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1, and ANR-06-BLAN-0063,RESONANCES,PETITS DIVISE ET RESONANCES EN GEOMETRIE, EDP ET DYNAMIQUE(2006)

Subjects
Zoll manifold, Mathematics - Analysis of PDEs, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], FOS: Mathematics, Almost global solutions, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Klein-Gordon equation, Dynamical Systems (math.DS), Mathematics::Differential Geometry, Mathematics - Dynamical Systems, Analysis of PDEs (math.AP)
Abstract

International audience; This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on Zoll manifolds (e.g. spheres of arbitrary dimension) with Hamiltonian nonlinearities, when the Cauchy data are smooth and small. The proof relies on Birkhoff normal form methods and on the specific distribution of eigenvalues of the laplacian perturbed by a potential on Zoll manifolds.

Published
2005

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