italianoITA
Head of Dept: Prof. Giulio Magli
Vice-Head of Dept: Prof. Gabriele Grillo
Department Manager: Dr.ssa Franca Di Censo


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Upcoming Events

  • oct 22 tue 2019

    Seminar
    Omar El Euch, Pricing and hedging in rough heston models,  10-22-2019, 14:15
    logo matematica
    • Seminar
    • Omar El Euch
    • Spire Europe Limited
    • Pricing and hedging in rough heston models
    • Tuesday, 22 October 2019 at 14:15
    • Aula seminari del terzo piano
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 23 wed 2019

    Seminar
    Giulio Ciraolo, Symmetry results for critical $p$-laplace equations,  10-23-2019, 15:15
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    • Seminar
    • Giulio Ciraolo
    • Università degli Studi di Milano
    • Symmetry results for critical $p$-laplace equations
    • Wednesday, 23 October 2019 at 15:15
    • Aula seminari 3° piano
    • Abstract
      It is known that positive solutions to $\Delta_p u + u^{p^*-1}=0$ in $\mathbb{R}^n$, with $n \geq 3$ and $1
      We provide a new approach to this problem which allows us to give a complete classification of the solutions in an anisotropic setting as well as to a suitable generalization of the problem in convex cones.

      This is a joint work with A. Figalli and A. Roncoroni.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 24 thu 2019

    MOX Seminar Series
    Gernot Plank, Clinical personalization of computational models of total heart function,  10-24-2019, 14:00
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    MOX
    MOX bio

    • MOX Seminar Series
    • Gernot Plank
    • Medical University of Graz, Austria
    • Clinical personalization of computational models of total heart function
    • Thursday, 24 October 2019 at 14:00
    • Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      Advances in numerical techniques and the ever increasing computational power have rendered the execution of forward models of total heart function feasible. Using such models based on clinical images and parameterized to reflect a given patient's physiology, are a highly promising approach to comprehensively and quantitatively characterize cardiovascular function in a given patient. Such models are anticipated to play a pivotal role in future precision medicine as a method to stratify diseases, optimize therapeutic procedures, predict outcomes and thus better inform clinical decision making.
      However, to translate modeling into a clinically applicable modality a number of key challenges have to be addressed. In particular, expensive computational models must be made efficient enough to be compatible with clinical time frames. This can be addressed either with hierarchical models of varying complexity which are cheaper to evaluate, by using computational efficient techniques such as spatio-temporal adaptivity, or by exploiting the power of new HPC hardware through massive parallelization or the use of accelerators. Further, the etiology of most cardiac pathologies comprises Multiphysics aspects, requiring the coupling of various physics, which may be characterized by very different space and time scales, rendering their coupling a challenging endeavor. Finally and most importantly, to be of clinical utility generic models must be specialized based on clinical data, which requires complex parameterization and data assimilation procedures to match model behavior with clinical observations.
      In this presentation, I will give an overview of our multi-physics forward modelling framework and our recent work on m personalising models using clinical data.

      contact: alfio.quarteroni@polimi.it

      This seminar is organized within the ERC-2016-ADG Research project iHEART - An Integrated Heart Model for the simulation of the cardiac function, that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 740132)
    • Gernot Plank
      Gernot Plank is Professor of Computational Cardiology at the Medical University of Graz, Austria. He received an M.Sc. Degree in Electrical Engineering in 1996 and a Ph.D. degree in Biomedical Engineering in 2000, both from the Technical University of Graz, Austria. He has been a Postdoctoral Fellow at Technical University of Valencia, Spain (2000–2002), at the University of Calgary, Canada (2003, supervised by Prof. Vigmond) and, as a Marie Curie Fellow, he held a Visiting Faculty position at the Johns Hopkins University, USA (2006–2008, supervised by Prof. Trayanova). In 2008 he became Academic Fellow at the Oxford e-Research Centre and the Oxford Computing Laboratory at the University of Oxford, UK before being appointed as Associate Professor in 2011, and a full Professor of Computational Cardiology at the Medical University of Graz, Austria.
      His research is focused on the development of anatomically accurate and biophysically detailed in silico models of cardiac function to gain mechanistic insights into electrophysiological, electromechanical and mechano-fluidic behavior in health and disease. His work has a strong translational component centered on improving diagnosis and treatment of cardiovascular diseases with the main focus on pacing therapies to treat arrhythmias and pump dysfunction. In this regard parameter identification and data assimilation strategies for personalizing models to a specific patient have become a major avenue of research in his lab. Jointly with Dr. Vigmond (LIRYC, Bordeaux, France) he is the key developer of the cardiac modeling software CARP.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 29 tue 2019

    Seminar
    John Barrow, One hunderd years of universes,  10-29-2019, 11:30
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    • Seminar
    • John Barrow
    • University of Cambridge
    • One hunderd years of universes
    • Tuesday, 29 October 2019 at 11:30
    • Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 29 tue 2019

    Seminar
    Pierre-louis Lions, On mean field games,  10-29-2019, 14:40
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    • Seminar
    • Pierre-louis Lions
    • Collège de France
    • On mean field games
    • Tuesday, 29 October 2019 at 14:40
    • Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 29 tue 2019

    Seminar
    Roger Penrose, On the power of geometric illustration in mathematics and science,  10-29-2019, 16:00
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    • Seminar
    • Roger Penrose
    • University of Oxford
    • On the power of geometric illustration in mathematics and science
    • Tuesday, 29 October 2019 at 16:00
    • Palazzo di Brera, Via Brera 28, Milano, Sala Maria Teresa
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 30 wed 2019

    Seminar
    Giulia Bini, Maths goes social: usare i meme per fare matematica in classe,  10-30-2019, 15:00
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    • Seminar
    • Giulia Bini
    • Università degli Studi di Torino
    • Maths goes social: usare i meme per fare matematica in classe
    • Wednesday, 30 October 2019 at 15:00
    • Sala Consiglio - piano 7° - edificio 14 - via Ponzio 31/p
    • Abstract
      Questo seminario vuole condividere i primi risultati di un lavoro di ricerca sui significati e i possibili usi didattici dei meme matematici. I meme sono oggetti digitali – tipicamente di natura umoristica – creati dagli utenti e condivisi in modo virale nel web: essi vengono dal pianeta social, ma recenti ricerche mostrano che possano dare un contributo alla didattica della matematica, facendo leva su ciò che gli studenti conoscono. Nel seminario sarà prima proposto un costrutto teorico per identificare gli elementi che compongono il sistema di significati veicolati da un meme e verranno condivisi esempi ed esperienze didattiche.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • nov 04 mon 2019

    MOX Seminar
    Piero Marcati, Quantum hydrodynamics: physical models and mathematical theory,  11-04-2019, 14:15
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    MOX

    • MOX Seminar
    • Piero Marcati
    • DISIM, Università de L' Aquila & Gran Sasso Science Institute (GSSI)
    • Quantum hydrodynamics: physical models and mathematical theory
    • Monday, 4 November 2019 at 14:15
    • aula Saleri VI piano
    • Abstract
      : The first part of the talk will provide a self-contained introduction to the formal deduction of the quantum hydrodynamics (QHD) in the form of an Euler Dispersive Irrotational compressible fluid system.
      We will then introduce in a possible simple way the a macroscopic approach to various related to superfluids due to the Russian school by Landau, Khalaktikov and other important models in superconductivity and semiconductor devices.
      Then we show important mathematical difficulties related to the presence of vacuum and explain their physical counterpart, even in relation with quantum vortices and Bose Einstein condensation. We also will relate our analysis to the Gross-Pitaevskii model.
      We will show how to develop a mathematical theory in 2-D and 3-D, consistent with the physics for the problem of large data weak solutions, in the energy norm. All the theory, including irrotationality, is formulated by using observable quantities (density and linear momentum), avoiding the need of defining the velocity fields. The methods are based on a ad hoc" polar factorization, dispersive analysis and local smoothing. The initial data are restricted to be momenta of a wave funtiona.
      It has been recently developed a large data 1-D theory purely hydrodynamical of weal solutions with strong stability.
      In conclusion we will just mention several other related problems connected to quantum vortices, dispersive shocks and the presence of magnetic fields.

      Contatto: paola.antonietti@polimi.it

    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • nov 13 wed 2019

    Seminar
    Anna Salvadori, Primo Brandi, La retromarcia in matematica: invertire formule, funzioni, operatori,  11-13-2019, 15:00
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    • Seminar
    • Anna Salvadori, Primo Brandi
    • Università di Perugia
    • La retromarcia in matematica: invertire formule, funzioni, operatori
    • Wednesday, 13 November 2019 at 15:00
    • Sala Consiglio - piano 7° - edificio 14
    • Abstract
      Scopo dell’intervento è presentare il percorso didattico innovativo, in continuità fra vari ordini scolastici, sul tema dell’invertibilità. Partendo dalle formule inverse delle funzioni elementari, l’argomento sottende la soluzione delle equazioni elementari ed è la chiave per affrontare i modelli differenziali.
      Il tema sarà trattato in interazione dinamica fra Realtà e Matematica.

      Nota: questo seminario sarà una lezione-laboratorio e avrà durata un’ora e mezzo.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • nov 19 tue 2019

    MOX Seminar Series
    Julius Guccione, Construction and validation of subject-specific biventricular finite-element models of healthy and failing swine hearts from high-resolution diffusion tensor mri,  11-19-2019, 15:00
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    MOX
    MOX bio

    • MOX Seminar Series
    • Julius Guccione
    • Surgery Division of Adult Cardiothoracic Surgery, University of California San Francisco (UCSF)
    • Construction and validation of subject-specific biventricular finite-element models of healthy and failing swine hearts from high-resolution diffusion tensor mri
    • Tuesday, 19 November 2019 at 15:00
    • aula consiglio VII piano
    • Abstract
      What if physicians and surgeons could virtually analyze their patients’ health and plan therapies and surgeries using the same advanced modeling and simulation technology that the automotive, aerospace, energy and hi-tech industries rely on to test their product before they are built? As early as 1906, researchers first began suggesting the solution of continuum mechanics problems by modeling the body with a lattice of elastic bars and employing frame analysis methods. In 1941, Courant recognized piecewise polynomial interpolation over triangular subregions as a Rayleigh-Ritz solution of variational problems. Since there were no computers at the time, neither approach was practical and Courant’s work was largely forgotten until engineers had independently developed it. By 1953, structural engineers were solving matrix stiffness equations with digital computers. The widespread use of finite element methods in engineering began with the classic papers by Turner et al. and Argyris and Kelsey. The name “finite element” was coined in 1960, and the method began to be recognized as mathematically rigorous by 1963. The creation of subject-specific biventricular finite element models has been a long-term endeavor within the biomedical engineering community. Using high resolution (0.3 × 0.3 × 0.8 mm) ex-vivo data, we constructed precise fully subject-specific biventricular finite-element models of healthy and failing swine hearts. Each model includes fully subject-specific geometries, myofiber architecture and, in the case of the failing heart, fibrotic tissue distribution. Each model was calibrated using subject-specific experimental data and compared with independent in-vivo strain data obtained from echocardiography. Our methods produced highly detailed representations of swine hearts that function mechanically in a remarkably similar manner to the in-vivo subject-specific strains on a global and regional comparison. The degree of subject-specificity included in the models represents a milestone for modeling efforts that captures realism of the whole heart. This study establishes a foundation for future computational studies that can apply these validated methods to advance cardiac mechanics research.

      Contatto: alfio.quarteroni@polimi.it

      This seminar is organized within the ERC-2016-ADG Research project iHEART - An Integrated Heart Model for
      the simulation of the cardiac function, that has received funding from the European Research Council (ERC)
      under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 740132)

    • Julius Guccione
      Julius M. Guccione, Jr., Ph.D. is Professor of Surgery, Surgery/Division of Adult Cardiothoracic Surgery at UCSF. He specializes in the realistic simulation of the efficacy of novel surgical procedures and devices for treating ischemic cardiomyopathy. Dr. Guccione graduated with a B.S. in Biomedical Engineering from Tulane University. He obtained his M.S. and Ph.D. in Bioengineering from UCSD. He completed a research fellowship in Biomedical Engineering at The Johns Hopkins University.
      The American Institute for Medical and Biological Engineering (AIMBE) inducted Dr. Guccione, Jr., Ph.D., to its College of Fellows in March 2019. Dr. Guccione was nominated, reviewed, and elected by peers and members of the College of Fellows for "outstanding contributions to the development, validation and dissemination of a unified foundation for cardiovascular in silico medicine."
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • nov 20 wed 2019

    Seminar
    Marco Pedroni, Geometrie non euclidee e teorie fisiche,  11-20-2019, 15:00
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    • Seminar
    • Marco Pedroni
    • Università di Bergamo
    • Geometrie non euclidee e teorie fisiche
    • Wednesday, 20 November 2019 at 15:00
    • Sala Consiglio - piano 7° - edificio 14
    • Abstract
      Dopo aver introdotto il concetto di geodetica su una superficie e aver brevemente discusso le geometrie non euclidee, si passerà a una descrizione della relatività (ristretta e generale). Lo scopo è quello di mostrare che in relatività generale avviene una fusione tra geometria e fisica: lo spazio non si può più concepire come un palcoscenico immutabile nel quale vengono poi introdotti i corpi, come nelle teorie classiche. In conclusione, se il tempo lo permetterà, si accennerà all'osservazione delle onde gravitazionali
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • nov 27 wed 2019

    Seminar
    Giuseppe Conti, Un viaggio nel mondo dei poliedri,  11-27-2019, 15:00
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    • Seminar
    • Giuseppe Conti
    • Università di Firenze
    • Un viaggio nel mondo dei poliedri
    • Wednesday, 27 November 2019 at 15:00
    • Sala Consiglio - piano 7° - edificio 14
    • Abstract
      In questo seminario intendo esporre un argomento molto importante della geometria dello spazio, anche se, talvolta, questo viene trascurato, o presentato superficialmente, nei programmi della scuola superiore: i poliedri. Dopo avere introdotto la loro definizione e le loro principali proprietà, sarà mostrata la loro presenza nella natura, nella vita quotidiana e nell’arte, partendo dall’antica Grecia fino ad arrivare ai nostri giorni. Anzitutto saranno trattati i poliedri regolari; successivamente sarà introdotta l’importante famiglia, soprattutto nelle applicazioni, dei poliedri archimedei. Infine, saranno presentati gli interessanti poliedri di Goldberg
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • dec 04 wed 2019

    Seminar
    Alice Lemmo, Come utilizzare le prove invalsi nella pratica d'aula,  12-04-2019, 15:00
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    • Seminar
    • Alice Lemmo
    • Università degli studi dell’Aquila
    • Come utilizzare le prove invalsi nella pratica d'aula
    • Wednesday, 4 December 2019 at 15:00
    • Sala Consiglio - piano 7° - edificio 14
    • Abstract
      L’obiettivo del seminario è riflettere su come, a partire dai dati restituiti dal Servizio Nazionale di Valutazione, si possano intraprendere azioni di consolidamento e miglioramento all’interno dalla propria classe, e non concentrarsi su cosa fare per preparare le prove INVALSI. Questo viene realizzato esplicitando il legame delle domande con le Indicazioni Nazionali e con le prassi didattiche, e utilizzando gli opportuni costrutti della didattica. Particolare rilievo verrà dato al fatto che gli obiettivi di apprendimento alla base delle pratiche d'aula sono fissati dalle Indicazioni Nazionali e non dalle prove che invece forniscono informazioni su come questi obiettivi sono raggiunti
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • dec 12 thu 2019

    MOX Seminar Series
    Steven Niederer, Translating cardiac models into the clinic,  12-12-2019, 14:00
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    MOX
    MOX bio

    • MOX Seminar Series
    • Steven Niederer
    • Biomedical Engineering, King’s College London
    • Translating cardiac models into the clinic
    • Thursday, 12 December 2019 at 14:00
    • Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      The ability to measure the heart, its shape, its structure and its function across multiple spatial and temporal scales continues to grow. Interpreting this data remains challenging. Computational biophysical models of the heart allow us to quantitatively link and interpret these large disparate data sets within the context of known cardiac physiology and invariable physical constraints. Within these models, we can infer unobservable states, propose and test new hypothesis and predict how systems will respond to challenges increasing our ability to interrogate and understand biological systems. We are increasingly applying this approach to modelling human hearts to investigate clinical applications. In this presentation, I will give an overview on our modelling work simulating anthracycline-induced heart failure, how we are using models of individual patients to study cardiac resynchronisation therapy and how we are using simulations to characterise the anatomy and pathophysiology of atrial fibrillation patients. Finally, I will present some of our preliminary results on simulating the four-chamber heart to begin simulating the interactions between atrial and ventricular function.

      Contact: alfio.quarteroni@polimi.it

      This seminar is organized within the ERC-2016-ADG Research project iHEART - An Integrated Heart Model for the simulation of the cardiac function, that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 740132)
    • Steven Niederer
      Steven Niederer received his DPhil in computer science from the University of Oxford in 2009, where he developed a detailed biophysical model of the rat heart. At the end of his DPhil he was awarded a research fellowship from the UK Engineering and Physical Sciences Research Council (EPSRC) to create pre-clinical models of heart failure. In 2010, he was appointed as a lecturer at King’s College London (KCL). At KCL he set up a research group focused on the clinical translation of cardiac models. Since joining KCL he has received a UK research council fellowship to work on the clinical translation of cardiac models to study heart failure, funding from the British Heart Foundation to work on simulating heart failure, ventricular arrhythmias and atrial fibrillation and industry support from pharmaceutical (Pfizer), device (EBR systems, Abbot, Boston Scientific, Medtronic) and imaging (Siemens) companies to use computer models for commercial applications. The combination of engineering, clinical and industrial research drives the translational focus of the group.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • jan 22 wed 2020

    Seminar
    Giuseppe Maria Coclite, Nonlinear peridynamic models,  01-22-2020, 15:15
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    • Seminar
    • Giuseppe Maria Coclite
    • Politecnico di Bari
    • Nonlinear peridynamic models
    • Wednesday, 22 January 2020 at 15:15
    • Aula seminari 3° piano
    • Abstract
      Some materials may naturally form discontinuities such as cracks as a result of scale effects and long range interactions. Peridynamic models such behavior introducing a new nonlocal framework for the basic equations of continuum mechanics. In this lecture we consider a nonlinear peridynamic model and discuss its well-posedness in suitable fractional Sobolev spaces.
      Those results were obtained in collaboration with S. Dipierro (Perth), F. Maddalena (Bari) and E. Valdinoci (Perth).
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

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