Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo


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Prossimi Seminari

  • Construction and Validation of Subject-Specific Biventricular Finite-Element Models of Healthy and Failing Swine Hearts From High-Resolution Diffusion Tensor MRI
    Julius Guccione, Surgery Division of Adult Cardiothoracic Surgery, University of California San Francisco (UCSF)
    martedì 19 novembre 2019 alle ore 15:00, aula consiglio VII piano
  • Geometrie non Euclidee e Teorie Fisiche
    Marco Pedroni, Università di Bergamo
    mercoledì 20 novembre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14
  • Zero-dimensional symmetry, or locally profinite groups
    George Willis, University of Newcastle, Australia
    giovedì 21 novembre 2019 alle ore 16:00, Aula U5-3014 (Edificio 5, terzo piano) del Dipartimento di Matematica e Applicazioni dell'Università di Milano-Bicocca, in Via Cozzi 55
  • Un viaggio nel mondo dei poliedri
    Giuseppe Conti, Università di Firenze
    mercoledì 27 novembre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14
  • Propagation of singularities for solutions to Hamilton-Jacobi equations
    Piermarco Cannarsa, Università di Roma Tor Vergata
    lunedì 2 dicembre 2019 alle ore 15:30, Sala Consiglio del 7 piano, Dipartimento di Matematica, Via Ponzio 31-33, Milano
  • Come utilizzare le prove invalsi nella pratica d’aula
    Alice Lemmo, Università degli studi dell’Aquila
    mercoledì 4 dicembre 2019 alle ore 15:00, Sala Consiglio - piano 7° - edificio 14
  • Explainability, intepretability and sensitivity analysis
    Emanuele Borgonovo, Department of Decision Sciences, BIDSA, Bocconi University, Milano
    venerdì 6 dicembre 2019 alle ore 14:30, Aula Saleri - VI piano
  • The mysteries of L-values
    Sarah Zerbes, University College London
    martedì 10 dicembre 2019 alle ore 14:00, Sala di Rappresentanza, Dipartimento di Matematica, Via C. Saldini 50
  • Translating cardiac models into the clinic
    Steven Niederer, Biomedical Engineering, King’s College London
    giovedì 12 dicembre 2019 alle ore 14:00,  Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Nonlinear Peridynamic Models
    Giuseppe Maria Coclite, Politecnico di Bari
    mercoledì 22 gennaio 2020 alle ore 15:15, Aula seminari 3° piano

Seminari Passati

  • Testing families of analytic discs
    Luca Baracco, Università di Padova
    giovedì 7 marzo 2019 alle ore 14:30 precise, Aula seminari del 3 piano

    It is a well-known fact in the theory of several complex variables that a function
    is holomorphic if and only if it is holomorphic in each variable separately. This
    result goes back to Hartogs. It is natural to consider a boundary version of Hartogs’ theorem. The general problem is to take a boundary function and ask if holomorphic extensions on some families of complex curves are enough to guarantee an extension which is holomorphic in all variables simultaneously.
    We will talk about the known results on the subject and show some new results obtained in collaboration with M. Fassina and S. Pinton for the spiecial case of the unit ball in C^n.
  • The Value of Informational Arbitrage
    Claudio Fontana, Università degli Studi di Padova
    martedì 5 marzo 2019 alle ore 12:30 precise, Aula Seminari al Terzo Piano
    In the context of a general semimartingale model, we aim at answering the following question: How much is an investor willing to pay for learning some inside information that allows to achieve arbitrage? If such a value exists, we call it the value of informational arbitrage. In particular, we are interested in the case where the inside information yields arbitrage opportunities but not unbounded profits with bounded risk. In the spirit of Amendinger et al. (2003), we provide a general answer to this question by means of an indifference valuation approach. To this effect, we establish some new results on models with additional information and study optimal investment-consumption problems in the presence of additional information and arbitrage, also allowing for the possibility of leverage. We characterize when the value of informational arbitrage is universal, in the sense that it does not depend on the preference structure. This talk is based on joint work with H.N. Chau and A. Cosso.
  • Dynamic prediction in Survival analysis: an application to patients with high-grade extremity soft tissue sarcoma
    Marta Fiocco, Mathematical Institute Leiden University, The Netherlands
    mercoledì 27 febbraio 2019 alle ore 11:00, Aula Seminari 'Saleri' VI Piano MOX-Dipartimento di Matematica, Politecnico di Milano - Edificio 14
    There is increasing interest in personalized prediction of disease progression. Prediction models are statistical models based on patient and disease
    characteristics which are used to inform treatment decisions, to provide personalized risk estimates for a patient. Many available prediction models are limited to predictions from a specific baseline time like diagnosis or shortly before treatment is initiated. It is at this time that the most important decisions on primary treatment are made. It is well known that available prognostic models are important tools for physicians to guide treatment decisions at diagnosis. However, once primary treatment has been initiated, the prognosis of the patient will change over the course of time, as a result of the effect of treatment, like treatment toxicity, clinical events such as disease recurrence that may have occurred, or simply, because of the fact that the patient is still alive. This implies that prediction models need to be updated by using new information about a specific patient that has become available since baseline. Prediction models that incorporate this dynamic aspect are called dynamic prediction models. In the first part of the talk the methodology for dynamic prediction will be discussed. The dynamic aspect of dynamic prediction use information on events and/or measurements up to the present, in order to update the prediction. It will be shown how dynamic predictions may be obtained using the concept of landmarking. In the second part of the talk a dynamic prediction model of survival for patients with high-grade extremity soft tissue sarcoma, will be presented. The model provides updated 5-year survival probabilities from different prediction time points during follow-up. Baseline covariates as well as time-dependent covariates, such as status of local recurrence and distant metastases, are included in the model. This dynamic prediction model which updates survival probabilities over time can be used to make better individualized treatment decisions based on a dynamic assessment of a patient's prognosis.
    - van Praag VM , Rueten-Budde A, PERSARC group, van de Sande MA, Fiocco M. A prediction model for treatment decisions in high-grade extremity soft-tissue sarcomas. European Journal of cancer 2017, Volume 83, Pages 313{323
    - Rueten-Budde A, van Praag VM , PERSARC group, van de Sande MA, Fiocco M. Dynamic Prediction of Overall Survival for Patients with High-Grade Extremity Soft Tissue Sarcoma. Surgical Oncology Volume 27, Issue 4, December 2018, Pages 695-701.
    - Hans van Houwelingen & Hein Putter (2011). Dynamic Prediction in Clinical Survival Analysis. Chapman & Hall. - H. C. van Houwelingen (2007). Dynamic Prediction by Landmarking in Event History Analysis. Scand. J. Stat. 34: 70{85.

  • Rigorous bounds on the heat flux in turbulent convection
    Camilla Nobili, Universität Hamburg
    mercoledì 27 febbraio 2019 alle ore 15:15, Aula seminari 3° piano
    We are interested in thermal convection as described by the Rayleigh-B ?enard convection model. In this model the Navier-Stokes equations for the (divergence-free) velocity u with no-slip bound- ary conditions is coupled to an advection-diffusion equation for the temperature T with inhomo- geneous Dirichlet boundary conditions. The problem of understanding the (average) upward- heat-transport properties is of great interest for the applications and challenging for the rigorous analysis. We show how the PDE theory (in particular, regularity analysis) can contribute to the understanding of the scaling regimes for the heat transport. After reviewing the theory of Constantin& Doering ’99 we will present some recent results and discuss new challenges.
  • Morphology and Physiology of the tricuspid and pulmonary valves and right/left ventricular inter-relationships
    Antonio Corno, East Midlands Congenital Heart Center, UK.
    giovedì 21 febbraio 2019 alle ore 09:30, Aula Seminari III Piano del Dipartimento di Matematica, Politecnico di Milano - Edificio 14
    The anatomy of the normal tricuspid and pulmonary valve will be explained and illustrated in all the specific elements, in order to provide the background required to then understand the mechanism of their opening and closing. The latter will be explained, with the changes over time of the pressures in the right atrium, right ventricle and pulmonary artery. The anatomical and physiological inter-relationships between right and left ventricle will be finally explained, showing why any change in the volume and/or pressure overload of one ventricle immediately reflects in the functioning of the other ventricle


  • Physiology of the heart
    Antonio Corno, East Midlands Congenital Heart Center, UK
    martedì 19 febbraio 2019 alle ore 10:30, Aula Seminari 'Saleri' VI Piano MOX-Dipartimento di Matematica, Politecnico di Milano - Edificio 14
    The physiology of the heart will be explained, with the changes over time of the pressures in the left atrium, left ventricle and aorta, and the mechanisms of opening and closure of mitral and aortic valve.

  • Morphology of the normal and pathological mitral and aortic valves
    Antonio Corno, East Midlands Congenital Heart Center, UK.
    lunedì 18 febbraio 2019 alle ore 14:00, Aula Seminari 'Saleri' VI Piano MOX-Dipartimento di Matematica, Politecnico di Milano - Edificio 14
    The anatomy of the normal mitral valve and aortic valve will be explained and illustrated in all the specific elements, in order to provide the background required to then understand the mechanism of their opening and closing. The various types of anatomically and functionally bicuspid aortic valve will be then illustrated, with the reasons why the presence of bicuspid aortic valve is frequently associated with malfunctioning of the valve itself and also with diseases of the ascending aorta. Finally, the different mechanism involved in the congenital stenosis and/or regurgitation of the aortic valve will be explained, with the associated consequences on the left ventricular morphology and function.

  • Application of Polyconvexity and multivariable convexity of energy potentials in nonlinear solid mechanics
    Javier Bonet, University of Greenwich
    giovedì 14 febbraio 2019 alle ore 14:00, Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    The presentation will review recent advances in the area of designing and using polyconvex energy potentials to describe the behaviour of solids in the large strain regime in the presence of several physical phenomena such as thermal or electro-mechanical effects. The need for convexity will be justified from the viewpoint of ensuring the existence of real wave speeds in the material at any state of deformation. The convexity of energy potentials with respect to an extended set of variables describing deformation and other multi-physics effects enables the definition of conjugate stresses, thermal and electro-mechanical variables and the formulation of complementary energy functions via the application of the Legendre transforms. In the static case, this leads to the development of a variety of Hu-Washizu or Hellinger-Reissner mixed variation principles that permit the discretisation of different fields with specifically chosen order of accuracy. For instance, in the case of nearly and fully incompressible materials, discretisations that either meet the LBB condition or are appropriately stabilised can be constructed. In the dynamic case, first order conservation laws can be derived for each of the extended set of variables in the energy function. Moreover, convexity enables the definition of a convex entropy-like functional of the primary conserved variables, leading to a symmetrisation of the conservation laws in terms of conjugate stress-like variables and a robust implementation of a Petrov-Galerkin discretisation process. This can be done in a variety of ways, for instance in the case of thermoelasticity two approaches will be discussed, namely, using the Hamiltonian as “entropy-like” convex function or, alternatively, using the so-called “ballistic free energy” as convex entropy extension. Several examples demonstrating the theoretical developments will be provided.