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

  • A. Agosti, E. Rocca, L. Scarpa, "Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential",  preprint arXiv:2306.15819 [math.AP];
  • 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;
  • F. Gatti, S. Perotto, C. de Falco, L. Formaggia, "A parallel well-balanced numerical scheme for the simulation of fast landslides with efficient time stepping", preprint;
  • F. Gatti, S. Perotto, C. de Falco, L. Formaggia, M. Pastor, "A scalable well-balanced numerical scheme for the modeling of two-phase shallow granular landslide consolidation", J. Comput. Phys. online, 2023;
  • G. Ciaramella, F. Nobile, T. Vanzan, "A multigrid method for PDE-constrained optimization with uncertain inputs", preprint arXiv:2302.13680v3 [math.OC];
  • G. Negrini, N. Parolini, M. Verani, "The Rhie-Chow stabilized Box Method for the Stokes problem", preprint arXiv:2308.01059v1 [math.NA];
  • M. Abatangelo, C. Cavaterra, M. Grasselli, H. Wu, "Optimal Distributed Control for a Cahn-Hilliard-Darcy System with Mass Sources, Unmatched Viscosities and Singular Potential", preprint arXiv:2308.01569v1 [math.OC];
  • M. Caldana, P.F. Antonietti, L. Dedè, "A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs", preprint arXiv:2304.10832v2 [math.NA];
  • M. Corti, F. Bonizzoni, P.F. Antonietti, "Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases", SIAM J. Sci. Comput., to appear;
  • M. Corti, F. Bonizzoni, P.F. Antonietti, A.M. Quarteroni, "Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease", preprint arXiv:2305.03619v2 [math.NA];
  • M. Gambarini, G. Ciaramella, E. Miglio, T. Vanzan, "Robust optimization of control parameters for WEC arrays using stochastic methods", preprint arXiv:2305.04130v2 [math.OC];
  • M. Torzoni, M. Tezzele, S. Mariani, A. Manzoni, K.E. Willcox, "A digital twin framework for civil engineering structures", preprint arXiv:2308.01445v1 [math.NA];
  • N.R. Franco, S. Fresca, F. Tombari, A. Manzoni, "Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks", preprint arXiv:2308.01602v1 [math.NA];
  • P.F. Antonietti, F. Bonizzoni , M. Verani, "A DG-VEM method for the dissipative wave equation", preprint arXiv:2303.17391v2 [math.NA];
  • S. Buchwald, G. Ciaramella, J. Salomon, "Gauss-Newton oriented greedy algorithms for the reconstruction of operators in nonlinear dynamics", preprint arXiv:2308.15450v1 [math.OC];
  • Y. Su, D. Riccobelli, Y. Chen, W. Chen, P. Ciarletta, "Tunable morphing of electroactive dielectric-elastomer balloons",  Proc. R. Soc. A 479, 20230358, 2023;
  • F. Ieva, G. Galliani, P. Secchi, "The impact of public transport on the diffusion of COVID-19 pandemic in Lombardy during 2020", preprint mra.v11i9.4356;
  • L. Clementi, E. Arnone, M. Santambrogio, S. Franceschetti, F. Panzica, L.M. Sangalli, "Anatomically compliant modes of variations: new tools for brain connectivity", PLoS ONE 18, e0292450, 2023;
  • L. Cavinato, M.C. Massi, M. Sollini, M. Kirienko, F. Ieva, "Dual adversarial deconfounding autoencoder for joint batch-effects removal from multi-center and multi-scanner radiomics data", Sci. Rep. 13, 18857, 2023;
  • I. Epifani, E. Lanzarone, A. Guglielmi, "Predicting donations and profiling donors in a blood collection center: a Bayesian approach", Flex. Serv. Manuf. J., 2023;
  • A. Burzacchi, L. Rossi, T. Agasisti, A.M. Paganoni, S. Vantini, "Commuting time as a determinant of higher education students' performance: the case of Politecnico di Milano", preprint MOX report 92/2023;
  • S. Bonetti, M. Botti, P.A. Antonietti, "Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem", preprint arXiv:2311.15665 [math.NA];
  • A. Agosti, A. Signori, "Analysis of a multi-species Cahn–Hilliard–Keller–Segel tumor growth model with chemotaxis and angiogenesis", preprint arXiv:2311.13470 [math.AP];
  • P.F. Antonietti, M. Botti, I. Mazzieri, "A space-time discontinuous Galerkin method for coupled poroelasticity-elasticity problems", preprint arXiv:2306.01140 [math.NA];
  • M. Corti, F. Bonizzoni, L. Dedè, A. Quarteroni, P.F. Antonietti, "Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease", Comput. Methods Appl. Mech. Eng. 417, 116450, 2023;
  • P.F. Antonietti, F. Bonizzoni, M. Corti, A. Dall'Olio, "Discontinuous Galerkin for the heterodimer model of prion dynamics in Parkinson's disease", preprint arXiv:2310.08342 [math.NA];
  • D. Ambrosi, L. Deorsola, S. Turzi, M. Zoppello, "The shape of the mitral annulus: A hypothesis of mechanical morphogenesis", Math. Mech. Solids published online, 2023;
  • A. Marzorati, S. Turzi, "Bifurcation analysis of spontaneous flows in active nematic fluids", J. Phys. A 56, 315601, 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;
  • 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;
  • 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;
  • 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. Palummo, E. Arnone, L. Formaggia, L.M. Sangalli, "Functional principal component analysis for incomplete space–time data", Environ. Ecol. Stat., published online, 2024;
  •  L. Clementi, E. Arnone, M.D. Santambrogio, S. Franceschetti, F. Panzica, L.M. Sangalli, "Anatomically compliant modes of variations: New tools for brain connectivity", Plos One 18, e0292450, 2023;
  • 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;
  • 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;
  • P.F. Antonietti, L. Beirao da Veiga, M. Botti, G. Vacca, M. Verani, "A Virtual Element method for non-Newtonian fluid flows", preprint arXiv:2403.03886 [math.NA];
  • M. Caldana, P.F. Antonietti, L. Dedè, "Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning", preprint arXiv:2402.16517 [math.NA];
  • I. Fumagalli, M. Corti, N. Parolini, P.F. Antonietti, "Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics", J. Comput. Phys. published online, 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;
  • S. Brivio, S. Fresca, A. Manzoni, "PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs", preprint arXiv:2405.08558 [math.NA];
  • C.B. Leimer Saglio, S. Pagani, M. Corti, P.F. Antonietti, "A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures", preprint arXiv:2401.14310 [math.NA];
  • 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;
  • 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;
  • 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;
  • 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;
  • 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;
  • 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;
  • 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;
  • D. Riccobelli, P. Ciarletta, G. Vitale, C. Maurini, L. Truskinovsky, "Elastic Instability behind Brittle Fracture", Phys. Rev. Lett. 132, 248202, 2024;
  • E. Ballini, L. Formaggia, A. Fumagalli, E. Keilegavlen, A. Scotti, "A hybrid upwind scheme for two-phase flow in fractured porous media", Comput. Methods Appl. Mech. Eng. 432, 117437, 2024;
  • L. Bindini, S. Pagani, A. Bernardini, B. Grossi, A. Giomi, A. Frontera, P. Frasconi, "All-in-one electrical atrial substrate indicators with deep anomaly detection", Biomed. Signal Process. Control. 98, 106737, 2024;
  • M. Beraha, M. Pegoraro, "Wasserstein principal component analysis for circular measures", Stat. Comput. 34, 171, 2024;
  • M. Beraha, S. Favaro, M. Sesia, "Random measure priors in Bayesian recovery from sketches", J. Mach. Learn. Res. 25, 1−53, 2024;
  • F. Regazzoni, "An optimally convergent Fictitious Domain method for interface problems", Comput. Methods Appl. Mech. Eng. 431, 117327, 2024;
  • E. Zappon, M. Salvador, P. Piersanti, F. Regazzoni, L. Dedè, A. Quarteroni, "An integrated heart-torso electromechanical model for the simulation of electrophysiogical outputs accounting for myocardial deformation", 2024, Comput. Methods Appl. Mech. Eng. 427, 117007, 2024;
  • P.F. Antonietti, F. Bonizzoni, M. Corti, A. Dall'Olio, "Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction", Comput. Methods Appl. Mech. Eng. 431, 117282, 2024;
  • 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; 
  • N. Parolini, A. Poiatti, J. Vené, M. Verani, "Structure-preserving neural networks in data-driven rheological models", preprint arXiv:2401.07121 [math.NA], 2024;
  • M. Cavazzutti, E. Arnone, F. Ferraccioli, C. Galimberti, L. Finos, L.M. Sangalli, "Sign-flip inference for spatial regression with differential regularisation", Stat. 13, e711, 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;
  • C. Castiglione, E. Arnone, M. Bernardi, A. Farcomeni, L.M. Sangalli, "PDE-regularised spatial quantile regression", J. Multivar. Anal. 205, 105381, 2025;
  • N.R. Franco, D. Fraulin, A. Manzoni, P. Zunino, "On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields", Adv. Comput. Math. 50, 96, 2024;
  • P. Vitullo, A. Colombo, N.R. Franco, A. Manzoni, P. Zunino, "Nonlinear model order reduction for problems with microstructure using mesh informed neural networks", Finite Elem. Anal. Des. 229, 104068, 2024;
  • L. Cicci, S. Fresca, M. Guo, A. Manzoni, P. Zunino, "Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression", Comput. Math. Appl. 149, 1−23 , 2024;
  • M. Torzoni, M. Tezzele, S. Mariani, A. Manzoni, K.E. Willcox, "A digital twin framework for civil engineering structures", Torzoni, M., Tezzele, M., Mariani, S., Manzoni, A., Willcox, K.E., A digital twin framework for civil engineering structures, Comput. Methods Appl. Mech. Eng. 418, 11658, 2024;
  • S. Brivio, S. Fresca, A. Manzoni, "PTPI-DL-ROMs: Pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs", Comput. Methods Appl. Mech. Eng. 432, 117404, 2024;
  • L. Rosafalco, P. Conti, A. Manzoni, S. Mariani, A. Frangi, "EKF–SINDy: Empowering the extended Kalman filter with sparse identification of nonlinear dynamics", Comput. Methods Appl. Mech. Eng. 431, 117264 , 2024;
  • P. Conti, M. Guo, A. Manzoni, A. Frangi, S.L. Brunton, J.N. Kutz, "Multi-fidelity reduced-order surrogate modelling", Proc. R. Soc. A 480, 20230655, 2024;
  • N. Farenga, S. Fresca, S. Brivio, A. Manzoni, "On latent dynamics learning in nonlinear reduced order modeling", preprint arXiv:2408.15183 [math.NA], 2024;
  • P. Conti, J. Kneifl, A. Manzoni, A. Frangi, J. Fehr, S.L. Brunton, J.N. Kutz, "VENI, VINDy, VICI: a variational reduced-order modeling framework with uncertainty quantification", preprint arXiv:2405.20905 [cs.LG], 2024;
  • N.R. Franco, A. Manzoni, P. Zunino, J. Hesthaven, "Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction", preprint arXiv:2404.18841 [math.NA], 2024;
  • P.F. Antonietti, M. Botti, A. Cancrini, I. Mazzieri, "A polytopal Discontinuous Galerkin Method for the pseudo-stress formulation of the unsteady Stokes problem", preprint arXiv:2408.08760 [math.NA], 2024;
  • B. Guindani, D. Ardagna, A. Guglielmi, R. Rocco, G. Palermo, "Integrating Bayesian Optimization and Machine Learning for the Optimal Configuration of Cloud Systems", IEEE Trans. Cloud Comp.12, 277-294, 2024;
  • V. Torri, M. Ercolanoni, F. Bortolan, O. Leoni, F. Ieva, "A NLP-based semi-automatic identification system for delays in follow-up examinations: an Italian case study on clinical referrals", BMC Med. Inform. Decis. Mak. 24, 107, 2024;
  • C.A. Tentori, C. Gregorio, et al, "Clinical and Genomic-Based Decision Support System to Define the Optimal Timing of Allogeneic Hematopoietic Stem-Cell Transplantation in Patients With Myelodysplastic Syndromes", J. Clin. Oncol. 42, 2024;
  • L. Ghilotti, M. Beraha, A. Guglielmi, "Bayesian clustering of high-dimensional data via latent repulsive mixtures", Biometrika, asae059, 2024;
  • A. Fumagalli, L. Panzeri, L. Formaggia, A. Scotti, D. Arosio, "A mixed-dimensional model for direct current simulations in the presence of a thin high-resistivity liner", Int. J. Numer. Methods Eng. 125,  e7407, 2024;
  • L. Possenti, P. Vitullo, A. Cicchetti, P. Zunino, T. Rancati, "Modeling hypoxia-induced radiation resistance and the impact of radiation sources", Comput. Biol. Med. 173, 108334, 2024;
  • 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;
  • L. Possenti, A. Gallo, P. Vitullo, A. Cicchetti, T. Rancati, M.L. Costantino, P. Zunino, "A computational model of the tumor microenvironment applied to fractioned radiotherapy", in A. Linninger, K.A. Mardal, P. Zunino (eds), "Quantitative approaches to microcirculation: mathematical models, computational methods and data analysis", SEMA SIMAI Springer Series 36, 23–47, 2024;
  • N. Dimola, M. Kuchta, K.A. Mardal, P. Zunino, "Robust Preconditioning of Mixed-Dimensional PDEs on 3d-1d Domains Coupled with Lagrange Multipliers", iA. Linninger, K.A. Mardal, P. Zunino (eds), "Quantitative approaches to microcirculation: mathematical models, computational methods and data analysis", SEMA SIMAI Springer Series 36, 137–171, 2024;
  • P. Vitullo, N.R. Franco, P. Zunino, "Deep learning enhanced cost-aware multi-fidelity uncertainty quantification of a computational model for radiotherapy", Found. Data Sci. 7, 386–417, 2024;
  • E. Ballini, L. Formaggia, A. Fumagalli, A. Scotti, P. Zunino, "Application of deep learning reduced-order modeling for single-phase flow in faulted porous media", Comput. Geosci. 28, 1279–1303, 2024;
  • M. Boulakia, C. Grandmont, F. Lespagnol, P. Zunino, "Mathematical and numerical analysis of reduced order interface conditions and augmented finite elements for mixed dimensional problems", Comput. Math. Appl. 175, 536–569, 2024;
  • F. Lespagnol, C. Grandmont, P. Zunino, M.A. Fernández, "A mixed-dimensional formulation for the simulation of slender structures immersed in an incompressible flow", Comput. Methods Appl. Mech. Eng. 432, 117316, 2024;
  • A. Ragni, C. Masci, F. Ieva, A.M. Paganoni, "A Statistical Significance-Based Approach for Clustering Grouped Data via Generalized Linear Model with Discrete Random Effects", J. R. Stat. Soc., A: Stat. Soc. online, 2025.