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mathematics for sustainable development

scientific coordinator: Luca Formaggia

 

The main goals for this topic are the development of mathematical models and numerical methods with applications to biomedicine (e.g., precision medicine, mathematical oncology, neurosciences) and for the sustainable use of the subsoil and mitigation of the effects of human activities (e.g., CO2 sequestration, geothermal reservoirs), as well as the implementation and analysis of scientific machine learning algorithms.

 

 

Publications

2024

  • D. Riccobelli, P. Ciarletta, G. Vitale, C. Maurini, L. Truskinovsky, "Elastic Instability behind Brittle Fracture", Phys. Rev. Lett. 132, 248202, 2024;
  • S. Sgobba, C. Felicetta, T. Bortolotti, A. Menafoglio, G. Lanzano, F. Pacor, "A geostatistical modeling of empirical amplification functions and related site proxies for shaking scenarios in central Italy", Soil Dyn. Earthq. Eng. 179, 108496, 2024;
  • T. Bortolotti, R. Peli, G. Lanzano, S. Sgobba, A. Menafoglio, "Weighted functional data analysis for the calibration of a ground motion model in Italy", J. Am. Stat. Assoc. 119, 1697-1708, 2024;
  • K. Kassem, M. Sperti, A. Cavallo, A.M. Vergani, D. Fassino, M. Moz, A. Liscio, R. Banali, M. Dahlweid, L. Benetti, F. Bruno, G. Gallone, O. De Filippo, M. Iannaccone, F. D'Ascenzo, G.M. De Ferrari, U. Morbiducci, E. Della Valle, M.A. Deriu, "An innovative artificial intelligence-based method to compress complex models into explainable, model-agnostic and reduced decision support systems with application to healthcare (NEAR)", Artif. Intell. Med. 151, 102841, 2024;
  • P.F. Antonietti, L. Beirao da Veiga, M. Botti, G. Vacca, M. Verani, "A Virtual Element method for non-Newtonian pseudoplastic Stokes flows", 2024, Comput. Methods Appl. Mech. Eng. 428, 117079, 2024;
  • S. Buchwald, G. Ciaramella, J. Salomon, "Gauss–Newton Oriented Greedy Algorithms for the Reconstruction of Operators in Nonlinear Dynamics", SIAM J. Contr. Opt. 62, 1343-1368, 2024;
  • S. Brivio, S. Fresca, N. Franco, A. Manzoni, "Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition", Adv. Comput. Math. 50, 33, 2024;
  • I. Fumagalli, M. Corti, N. Parolini, P.F. Antonietti, "Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics", J. Comput. Phys. published online, 2024;
  • F. Regazzoni, S. Pagani, M. Salvador, L. Dedè, A. Quarteroni, "Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks", Nat. Commun. 15, 1834, 2024;
  • A. Zingaro, M. Bucelli, R. Piersanti, F. Regazzoni, L. Dedè, A. Quarteroni, "An electromechanics-driven fluid dynamics model for the simulation of the whole human heart", J. Comput. Phys. 504, 112885, 2024;
  • A. Palummo, E. Arnone, L. Formaggia, L.M. Sangalli, "Functional principal component analysis for incomplete space–time data", Environ. Ecol. Stat., published online, 2024;
  • A. Zingaro, Z. Ahmad, E. Kholmovski, K. Sakata, L. Dedè, A.K. Morris, A. Quarteroni, N.A. Trayanova, "A comprehensive stroke risk assessment by combining atrial computational fluid dynamics simulations and functional patient data", Sci. Rep. 14, 9515, 2024;
  • A. Tonini, C. Vergara, F. Regazzoni, L. Dedè, R. Scrofani, C. Cogliati, A. Quarteroni, "A mathematical model to assess the effects of COVID-19 on the cardiocirculatory system", Sci. Rep. 14, 8304, 2024;
  • M. Salvador, M. Strocchi, F. Regazzoni, C.M. Augustin, L. Dedè, S.A. Niederer, A. Quarteroni, "Whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations", npj Digit. Med. 7, 90, 2024;
  • B. Begu, S. Panzeri, E. Arnone, M. Carey, L.M. Sangalli, "A nonparametric penalized likelihood approach to density estimation of space–time point patterns", Spat. Stat. 61, 100824, 2024;
  • A. Marzorati, S. Turzi, "Bifurcation analysis of spontaneous flows in active nematic fluids", J. Phys. A 56, 315601, 2024;

2023

  • P. Vitullo, L. Cicci, L. Possenti, A. Coclite, M.L. Costantino, P. Zunino, "Sensitivity analysis of a multi-physics model for the vascular microenvironment, 2024, Int. J. Numer. Methods Biomed. Eng. 39, e3752, 2023;
  • P.F. Antonietti, P. Matalon, M. Verani, "Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method", preprint arXiv:2308.10748 [math.NA], 2023; 
  • D. Carbonaro, F. Mezzadri, N. Ferro, G. De Nisco, A.L. Audenino, D. Gallo, C. Chiastra, U. Morbiducci, S. Perotto, "Design of innovative self-expandable femoral stents using inverse homogenization topology optimization", Comput. Methods Appl. Mech. Eng. 416, 116288, 2023;
  • M. Gambarini, G. Ciaramella, E. Miglio, T. Vanzan, "Robust optimization of control parameters for WEC arrays using stochastic methods", J. Comput. Phys. 493, 112478, 2023;