Publications

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    Books

  • A. Quarteroni, R. Sacco, F. Saleri, "Esercizi di Calcolo Numerico risolti con Matlab" (in Italian), Progetto Leonardo, Esculapio Editore (1997).
  • A. Quarteroni, R. Sacco, F. Saleri, "Numerical Mathematics", Texts in Applied Mathematics (TAM) 37, Springer-Verlag, New York, Inc. (2000), Second Edition (2007).
  • A. Quarteroni, R. Sacco, F. Saleri, ``Methodes Numeriques. Algorithmes, analyse et applications", Springer-Verlag, Paris (2007).
  • A. Quarteroni, R. Sacco, F. Saleri,``Numerische Mathematik 1", Springer-Verlag, Berlin Heidelberg (2001) and ``Numerische Mathematik 2", Springer-Verlag, Berlin Heidelberg (2002).
  • A. Quarteroni, R. Sacco, F. Saleri, "Matematica Numerica", Second Edition, Springer-Verlag Italia, Milano (2004). Third Edition, Springer-Verlag Italia, Milano (2008).
  • A. Quarteroni, R. Sacco, F. Saleri, P. Gervasio, "Matematica Numerica", Fourth Edition, Springer-Verlag Italia, Milano (2014).
  • P. Causin, G. Guidoboni, R. Sacco, A. Harris, "Integrated Multidisciplinary Approaches in the Study and Care of the Human Eye", Kugler Publications, Amsterdam (2014).
  • R. Sacco, G. Guidoboni, A. G. Mauri, "A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences", Elsevier Inc. 50 Hampshire St., Cambridge MA 02139, USA (2019).
  • G. Guidoboni, A. Harris, R. Sacco, "Ocular Fluid Dynamics Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling", Springer-Birkhauser New York. Book series: Modeling and Simulation in Science, Engineering, and Technology (2019).

    Chapters of Books

  • F. Brezzi, L. D. Marini, S. Micheletti, P. Pietra, R. Sacco, S. Wang, "Discretization of Semiconductor Device Problems (I)", pp. 317-441, Handbook of Numerical Analysis, Vol. XIII, P.G. Ciarlet Ed., W.H.A. Schilders, E.J.W. ter Maten, Guest Eds., Elsevier North-Holland, Amsterdam (2005).
  • M. T. Raimondi, P. Causin, M. Laganà, P. Zunino, R. Sacco, "Multiphysics Computational Modeling in Cartilage Tissue Engineering", pp. 267-285, Computational Modeling in Tissue Engineering Studies in Mechanobiology, Tissue Engineering and Biomaterials Volume 10, 2013, Ed. L. Geris, http://dx.doi.org/10.1007/8415_2011_112, Springer Berlin Heidelberg.
  • P. Causin, G. Guidoboni, F. Malgaroli, R. Sacco, A. Harris, "Mathematical Modeling of Retinal Microcirculation and Oxygen Delivery", pp. 161-175 of the volume "Integrated Multidisciplinary Approaches in the Study and Care of the Human Eye", Kugler Publications, Amsterdam (2014).
  • G. Guidoboni, A. Harris, R. Sacco. "Mathematics and ophthalmology: from theory to clinical applications". Introductory chapter of the volume "Ocular fluid dynamics. Anatomy, physiology, imaging techniques, and mathematical modeling". Editors: G. Guidoboni, A. Harris, R. Sacco. Springer-Birkhäuser (New York), (2019).
  • R. Sacco, G. Guidoboni and A. G. Mauri, "Mathematical and physical modeling principles of complex biological systems", Chapter 1 of the volume "Ocular Fluid Dynamics Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling" (18 pages). Editors: G. Guidoboni, A. Harris, R. Sacco. Springer-Birkhäuser (New York), (2019).
  • SP. Srinivas, W. Chaiyasa, A. Burli, G. Guidoboni, R. Sacco, A. Anand, A. H. Siraj, H. Daima, UB. Kompella. "Transcorneal Kinetics of Topical Drugs and Nanoparticles" In: Neervannan S., Kompella U.B. (eds) Ophthalmic Product Development, vol 37, pp 121-151 (2022). AAPS Advances in the Pharmaceutical Sciences Series, Springer, Cham. https://doi.org/10.1007/978-3-030-76367-1_6.

    • Lecture Notes

  • R. Sacco, ``Numerical simulation of charge transport in semiconductor devices using mixed finite elements", Mixed Finite Element Technologies, Lecture Notes CISM Courses and Lectures, Vol. 509, P. Wriggers, C. Carstensen, Eds., Springer Wien New York, 89-105 (2009).
  • R. Sacco, ``Numerical simulation of thermal oxidation process in semiconductor devices using mixed-hybrid finite elements", Mixed Finite Element Technologies, Lecture Notes CISM Courses and Lectures, Vol. 509, P. Wriggers, C. Carstensen, Eds., Springer Wien New York, 107-130 (2009).

    • Editorials

  • G. Guidoboni, R. Sacco. "Multiphysics/multiscale modeling and applications of coupled processes in biological and nanotechnological systems". J. Coupled Syst. Multiscale Dyn. 3 (1), 1-4 (2015).

    • Papers in International Journals with Peer-Review

  • R.Sacco, "Variational formulation and finite element solution of the nonlinear one dimensional Poisson's equation in semiconductors", Rend. Ist. Lomb. Sc. e Lett. (A), 125, 265--293 (1991).
  • R.Sacco, "Convergence of a Second-Order Accurate Petrov-Galerkin Scheme for Convection-Diffusion problems in Semiconductors", Appl. Num. Math., 11, 517--528 (1993).
  • C.Celani, R.Sacco, "A divergence-free finite element scheme for convection-diffusion problems: mathematical validation of the patch test", Rend. Ist. Lomb. Sc. e Lett. (A), 128, 177--197 (1994).
  • R.Sacco, "A nonconforming Petrov-Galerkin finite element method for stationary convection-diffusion equations", Rend. Ist. Lomb. Sc. e Lett. (A), 128, 223--245 (1994).
  • R. Sacco, "A mixed problem for electrostatic potential in semiconductors", Numer. Meth. Part. Diff. Eq., 10, 715-738 (1994).
  • R.Sacco, E. Gatti, L.Gotusso, The patch test as a validation of a new finite element for the solution of convection-diffusion equations", Comp. Meth. Appl. Mech. Engnrg., 124, 113--124 (1995).
  • S. Micheletti, A. Quarteroni, R. Sacco, "Current-Voltage Characteristics Simulation of Semiconductor Devices using Domain Decomposition", J. Comp. Phys., 119, 46--61 (1995).
  • A. Longoni, E. Gatti, R. Sacco, "Trapping noise in semiconductor devices: a method for determining the noise spectrum as a function of the trap position", J. Appl. Phys., 78(10), 6283--6297 (1995).
  • E. Gatti, L. Gotusso, R. Sacco, "An energy interpretation of a stationary functional for the variational solution of the nonlinear Poisson equation in semiconductors at thermal equilibrium", Rend. Ist. Lomb. Sc. e Lett. (A), 129, 57--68 (1995).
  • R. Sacco, D. Erricolo, E. Gatti, "A perturbation approach for low frequency noise in JFET's", Appl. Math. Comp., 74,161--190 (1996).
  • R. Sacco, "Exponentially fitted shape functions for advection-dominated flow problems in two dimensions", J. Comput. Appl. Math., 67(1), 161--165 (1996).
  • R. Sacco, F. Saleri, "Mixed finite volume methods for semiconductor device simulation", Numer. Meth. Part. Diff. Eq., 13, 215--236 (1997).
  • R. Sacco, F. Saleri, "Stabilized mixed finite volume methods for convection-diffusion problems", East West J. Numer. Math., 5 (4), 291--311 (1997).
  • R. Sacco, F. Saleri, "Stabilization of mixed finite elements for convection-diffusion problems", CWI Quarterly, 10 (3-4), 301--315 (1997).
  • R. Sacco, M. Stynes, "Finite element methods for convection-diffusion problems using exponential splines on triangles", Comput. Math. Appl., 35 (3), 35--45 (1998).
  • E. Gatti, S. Micheletti, R. Sacco, "A New Galerkin Framework for the Drift-Diffusion Equation in Semiconductors", East West J. Numer. Math., 6 (2), 101--135 (1998).
  • R. Sacco, E. Gatti, L. Gotusso, "A nonconforming exponentially fitted finite element method for two-dimensional drift-diffusion models in semiconductors", Numer. Meth. Part. Diff. Eq., 15, 133--150 (1999).
  • S. Micheletti, R. Sacco, "Stabilized Mixed Finite Elements for Fluid Models in Semiconductors", Comput. Visual. Sci., Vol. 2, 139-147 (1999).
  • G. Ghislotti, S. Pietralunga, L. Ripamonti, R. Sacco, S. Micheletti, F. Bosisio, "Time-resolved photocurrent and electric field measurements in high resistivity CdTe", J. Appl. Phys. 87 (1), 322-328 (2000).
  • F. Bosisio, S. Micheletti, R. Sacco, "A discretization scheme for an extended drift-diffusion model including trap-assisted phenomena", J. Comp. Phys., 159, 197--212 (2000).
  • S. Micheletti, R. Sacco, "Dual-Primal Mixed Finite Elements for Elliptic Problems", Numer. Meth. Part. Diff. Eq., 17 (2), 137--151 (2001).
  • S. Micheletti, R. Sacco, F. Saleri, "On Some Mixed Finite Element Methods with Numerical Integration", SIAM J. Sci. Comput. 23, No.1, 245-270 (2001).
  • L. Ballestra, S. Micheletti, R. Sacco, F. Saleri, "On a viscous-hydrodynamic model for semiconductors: numerical simulation and stability analysis", Comput. Visual. Sci., 4 (2), 79--86 (2001).
  • C. L. Bottasso, S. Micheletti, R. Sacco, "The Discontinuous Petrov-Galerkin Method for Elliptic Problems", Comput. Methods Appl. Mech. Engrg., 191, 3391--3409 (2002).
  • L. Ballestra, S. Micheletti, R. Sacco, "Semiconductor device simulation using a viscous-hydrodynamic model'', Comput. Methods Appl. Mech. Engrg., 191, 5447--5466 (2002).
  • P. Causin, R. Sacco, "A Dual Mixed-Hybrid Formulation for Fluid Mechanics Problems: Mathematical Analysis and Application to Semiconductor Technology'', Comput. Methods Appl. Mech. Engrg., 192, 593--612 (2003).
  • P. Causin, R. Sacco, "Mixed-Hybrid Finite Elements for the Simulation of Thermal Oxidation in Semiconductors", Journal of Computational and Applied Mathematics, 168 (1-2), 95-105 (2004).
  • L. Ballestra, R. Sacco, "Numerical Problems in Semiconductor Simulation using the Hydrodynamic Model: a Second-Order Finite Difference Scheme", J. Comp. Phys., 195 (1), 320-340 (2004).
  • P. Causin, M. Restelli, R. Sacco, "A simulation system based on mixed-hybrid finite elements for thermal oxidation in semiconductor technology", Comput. Methods Appl. Mech. Engrg., 193, 3687-3710 (2004).
  • C. L. Bottasso, S. Micheletti, R. Sacco, "A multiscale formulation of the Discontinuous Petrov-Galerkin Method for Advective-Diffusion Problems", Comput. Methods Appl. Mech. Engrg., 194 (25-26), 2819-2838 (2005).
  • C. de Falco, A. L. Lacaita, E. Gatti, R. Sacco, "Quantum-Corrected Drift-Diffusion Models for Transport in Semiconductor Devices", J. Comp. Phys., 204 (2), 533-561 (2005).
  • C. Carstensen, P. Causin, R. Sacco, "A Posteriori Dual-Mixed Adaptive Finite Element Error Control for Lame` and Stokes Equations", Numer. Math., 101, 309-332 (2005).
  • P. Causin, R. Sacco, "A discontinuous Petrov-Galerkin method with Lagrangian multipliers for second order elliptic problems", SIAM J. Numer. Anal., 43 (1), 280-302 (2005).
  • C.L. Bottasso, P. Causin, R. Sacco, "Flux-Upwind Stabilization of the Discontinuous Petrov-Galerkin Formulation with Lagrangian Multipliers for Advection-Diffusion Problems", ESAIM: M2AN, Vol. 39 (6), 1087-1114 (2005).
  • G. Cassano, C. Giulianetti, C. de Falco, R. Sacco, "Numerical Simulation of Tunneling Effects in Nanoscale Semiconductor Devices Using Quantum Corrected Drift-Diffusion Models", Comp. Meth. Appl. Mech. Engrg., 195, 2193-2208 (2006).
  • M. Restelli, L. Bonaventura, R. Sacco, "A semi-Lagrangian Discontinuous Galerkin Method for Scalar Advection by Incompressible Flows", J. Comp. Phys., 216 (1), 195-215 (2006).
  • F. Brezzi, L.D. Marini, S. Micheletti, P. Pietra, R. Sacco, "Stability and Error Analysis of Mixed Finite Volume Methods for Advective-Diffusive Problems", Comput. Math. Appl., 51, 681-696 (2006).
  • L. Formaggia, S. Micheletti, R. Sacco, A. Veneziani, "Mathematical modelling and numerical simulation of a glow-plug", Applied Numerical Mathematics, 57 (10) 1125-1144 (2007).
  • C. de Falco, G. Scrofani, R. Sacco, "Stabilized 3D Finite Elements for the Numerical Solution of the Navier-Stokes Equations in Semiconductors", Comp. Meth. Appl. Mech. Engrg., 196, 1729-1744 (2007).
  • A. Montano, M. Restelli, R. Sacco, "Modeling and Numerical Simulation Of Tethered Buoy Dynamics", Comp. Meth. Appl. Mech. Engrg., 196, 4117-4129 (2007).
  • M. Longaretti, G. Marino, B. Chini, J.W. Jerome, R. Sacco, "Computational models in nano-bio-electronics: simulation of ionic transport in voltage operated channels". Journal of Nanoscience and Nanotechnology, 8 (7), 1-9 (2007).
  • M. Longaretti, B. Chini, J.W. Jerome, R. Sacco, "Electrochemical Modeling and Characterization of Voltage Operated Channels in Nano-Bio-Electronics". Sensor Letters, 6 (1), 49-56 (2008).
  • J. W. Jerome, B. Chini, M. Longaretti, R. Sacco, ``Computational Modeling and Simulation of Complex Systems in Bio-Electronics'', Journal of Computational Electronics, 7 (1), 10-13 (2008).
  • C. de Falco, J. W. Jerome, R. Sacco, "Quantum Corrected Drift--Diffusion Models: Solution Fixed Point Map and Finite Element Approximation". J. Comp. Phys., 228, 1770-1789 (2009).
  • P. Causin, R.Sacco, "Hierarchical Mixed Hybridized Methods for Elliptic Problems". Comp. Meth. Appl. Mech. Engrg., 198, 1061-1073 (2009).
  • J. W. Jerome, R. Sacco, ''Global Weak Solutions for an Incompressible Charged Fluid with Multi-Scale Couplings: Initial-Boundary Value Problem''. Nonlinear Analysis: Theory, Methods and Applications, DOI information: 10.1016/j.na.2009.05.047 (2009).
  • B. Cockburn, B. Dong, J. Guzman, M. Restelli, R. Sacco, "A hybridizable discontinuous Galerkin method for steady-state convection-diffusion-reaction problems". SIAM J. Sci. Comp., 31 (5), 3827-3846 (2009).
  • C. de Falco, R. Sacco, M. Verri, "Analytical and Numerical Study of Photocurrent Transients in Organic Polymer Solar Cells". Computer Methods in Applied Mechanics and Engineering, 199, 1722-1732 (2010).
  • M. Brera, J.W. Jerome, Y. Mori, R. Sacco, "A Conservative and Monotone Mixed--Hybridized Finite Element Approximation of Transport Problems in Heterogeneous Domains". Computer Methods in Applied Mechanics and Engineering, 199, 2709-2720 (2010).
  • R. Sacco, P. Causin, P. Zunino, M. T. Raimondi, "A multiphysics/multiscale numerical simulation of scaffold-based cartilage regeneration under interstitial perfusion in a bioreactor". Biomechanics and Modeling in Mechanobiology Volume 10, Number 4, 577-589 (2011), DOI: 10.1007/s10237-010-0257-z.
  • M. T. Raimondi, P. Causin, A. Mara, M. Nava, M. Lagana`, R. Sacco "Breakthroughs in Computational Modeling of Cartilage Regeneration in Perfused Bioreactors''. IEEE Transactions on Biomedical Engineering, Vol. 58, No. 12, 3496-3499, December 2011.
  • C. de Falco, M. Porro, R. Sacco, M. Verri, "Multiscale Modeling and Simulation of Organic Solar Cells''. Computer Methods in Applied Mechanics and Engineering, Volumes 245-246, 15 October 2012, Pages 102-116.
  • P. Causin, R. Sacco, M. Verri, "A multiscale approach in the computational modeling of the biophysical environment in artificial cartilage tissue regeneration''. Biomechanics and Modeling in Mechanobiology, August 2013, Volume 12, Issue 4, pp 763-780 (2013), DOI 10.1007/s10237-012-0440-5
  • M. Porro, C. de Falco, M. Verri, G. Lanzani, R. Sacco, "Multiscale simulation of organic heterojunction light harvesting devices''. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 33 Iss: 4, pp.1107 - 1122, 2014.
  • P. Causin, G. Guidoboni, A. Harris, D. Prada, R. Sacco, S. Terragni. ''A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head''. Mathematical Biosciences, Volume 257, November 2014, Pages 33-41, ISSN 0025-5564, http://dx.doi.org/10.1016/j.mbs.2014.08.002.
  • R. Sacco, L. Carichino, C. de Falco, M. Verri, F. Agostini and T. Gradinger. ''A Multiscale Thermo-Fluid Computational Model for a Two-Phase Cooling System''. Computer Methods in Applied Mechanics and Engineering, Volume 282, 239-268, 2014.
  • D. Prada, M. Bellini, I. Stevanovic, L. Lemaitre, J. Victory, J. Vobecky, R. Sacco, P. Lauritzen. ''On the Performance of Multiobjective Evolutionary Algorithms in Automatic Parameter Extraction of Power Diodes''. IEEE Transactions on Power Electronics, Vol. 30, NO. 9, September 2015, pp. 4986-4997.
  • A. G. Mauri, R. Sacco, M. Verri. ''Electro-Thermo-Chemical Computational Models for 3D Heterogeneous Semiconductor Device Simulation''. Appl. Math. Modelling, Volume 39, Issue 14, 15 July 2015, Pages 4057-4074 doi: http://dx.doi.org/10.1016/j.apm.2014.12.008.
  • A. G. Mauri, A. Bortolossi, G. Novielli, R. Sacco. `'3D Finite Element Modeling of Impact Ionization in Industrial Semiconductor Device Simulation''. Journal of Mathematics in Industry, DOI 10.1186/s13362-015-0015-z (2015).
  • P. Airoldi, A. G. Mauri, R. Sacco and J. W. Jerome. ''Three-Dimensional Numerical Simulation of Ion Nanochannels''. J. Coupled Syst. Multiscale Dyn. 3 (1), 57-65 (2015).
  • P. Causin, G. Guidoboni, F. Malgaroli, R. Sacco, A. Harris. ''Blood flow mechanics and oxygen transport and delivery in the retinal microcirculation: multiscale mathematical modeling and numerical simulation''. Biomechanics and Modeling in Mechanobiology, 15 (3), 525-542 (2016).
  • R. Sacco, F. Manganini and J. W. Jerome. ''Modeling and Simulation of Thermo-Fluid-Electrochemical Ion Flow in Biological Channels''. Molecular Based Mathematical Biology. Volume 3, Issue 1, ISSN (Online) 2299-3266, DOI: 10.1515/mlbmb-2015-0006, October 2015.
  • E. Abbate, M. Porro, T. Nieus, R. Sacco. ''Hierarchical Electrochemical Modeling and Simulation of Bio-Hybrid Interfaces''. Computer Methods in Applied Mechanics and Engineering. Volume 300, 1 March 2016, Pages 561-592.
  • M. Szopos, S. Cassani, G. Guidoboni, C. Prud'homme, R. Sacco, B. Siesky, A. Harris. ''Mathematical modeling of aqueous humor flow and intraocular pressure under uncertainty: towards individualized glaucoma management". Journal for Modeling in Ophthalmology, 2, 29-39 (2016).
  • A. G. Mauri, L. Sala, P. Airoldi, G. Novielli, R. Sacco, S. Cassani, G. Guidoboni, B. A. Siesky and A. Harris. ''Electro-fluid dynamics of aqueous humor production: simulations and new directions". Journal for Modeling in Ophthalmology, 2, 48-58 (2016).
  • L. Bociu, G. Guidoboni, R. Sacco, J. T. Webster. ''Analysis of nonlinear poro-elastic and poro-visco-elastic models''. Archive for Rational Mechanics and Analysis, 1-75, 10.1007/s00205-016-1024-9 (2016).
  • R. Sacco, P. Airoldi, A. G. Mauri, J.W. Jerome. ''Three-Dimensional Simulation of Biological Ion Channels Under Mechanical, Thermal and Fluid Forces''. Applied Mathematical Modelling Volume 43, March 2017, Pages 221-251.
  • R. Sacco, P. Causin, C. Lelli, M. T. Raimondi. ''A Poroelastic Mixture Model of Mechanobiological Processes in Tissue Engineering: Theory and Simulations". Meccanica (2017). doi:10.1007/s11012-017-0638-9.
  • J.C. Gross, A. Harris, B.A. Siesky, R. Sacco, A. Shah, G. Guidoboni. ''Mathematical Modeling for Novel Treatment Approaches to Open- Angle Glaucoma". Expert Review of Ophthalmology, 12 (6), 443-455 (2017). 10.1080/17469899.2017.1383896
  • M. Verri, M. Porro, R. Sacco, S. Salsa. ''Solution Map Analysis of a Multiscale Drift-Diffusion Model for Organic Solar Cells". Computer Methods in Applied Mechanics and Engineering, Vol. 331, 281-308 (2018) doi: https://doi.org/10.1016/j.cma.2017.11.026.
  • M. Verri, G. Guidoboni, L. Bociu, R. Sacco. ''The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics". Mathematical Biosciences and Engineering, 15(4), 933-959 (2018).
  • L. Sala, R. Sacco, G. Guidoboni. ''Multiscale nature of ocular physiology". Journal for Modeling in Ophthalmology, Vol.2 (1), 12-18 (2018).
  • R. Sacco, A. G. Mauri, A. Cardani, B. A. Siesky, G. Guidoboni, A. Harris. ''Multiscale modeling and simulation of neurovascular coupling in the retina". Journal for Modeling in Ophthalmology, Vol.2 (2), 30-35 (2018).
  • G. Guidoboni, L. Sala, M. Enayati, R. Sacco, M. Szopos, J. Keller, M. Popescu, L. Despins, V. H. Huxley, M. Skubic. ''Cardiovascular function and ballistocardiogram: a relationship interpreted via mathematical modeling". IEEE Transactions on Biomedical Engineering, Vol. 66 (10), 2906 - 2917 (2019).
  • L. Sala, A. G. Mauri, R. Sacco, D. Messenio, G. Guidoboni, A. Harris. ''A Theoretical Study of Aqueous Humor Secretion Based on a Continuum Model Coupling Electrochemical and Fluid-Dynamical Transmembrane Mechanisms". Communications in Applied Mathematics and Computational Science, 14(1), 65-103 (2019).
  • L. Bociu, G. Guidoboni, R. Sacco, M. Verri. ''On the Role of Compressibility in Poroviscoelastic Models". Mathematical Biosciences and Engineering, 16(5), 6167-6208 (2019).
  • R. Sacco, G. Guidoboni, J. W. Jerome, G. Bonifazi, N. M. Marazzi, A. C. Verticchio Vercellin, M. S. Lang, A. Harris. ''A Theoretical Approach for the Electrochemical Characterization of Ciliary Epithelium". Life, 10(8); doi:10.3390/life10020008, (2020)
  • R. Sacco, A. G. Mauri, G. Guidoboni. ''A Stabilized Dual Mixed Hybrid Finite Element Method with Lagrange multipliers for Three-Dimensional Problems with Internal Interfaces". J Sci Comput 82, 60 (2020).
  • G. Guidoboni, R. Sacco, M. Szopos, L. Sala, A. C. Verticchio Vercellin, B. Siesky and A. Harris. ''Neurodegenerative disorders of the eye and of the brain: a perspective on their fluid-dynamical connections and the potential of mechanism-driven modeling". Frontiers in Neuroscience 14:566428. doi: 10.3389/fnins.2020.566428 (2020).
  • Alice C. Verticchio Vercellin, Alon Harris, Greta Chiaravalli, Riccardo Sacco, Brent Siesky, Thomas Ciulla, Giovanna Guidoboni. ''Physics-based modeling of Age-related Macular Degeneration - A theoretical approach to quantify retinal and choroidal contributions to macular oxygenation". Mathematical Biosciences Vol. 339, 108650 (2021).
  • Chiaravalli, Greta; Manfredi, Giovanni; Sacco, Riccardo; Lanzani, Guglielmo. ''Photoelectrochemistry and Drift-Diffusion simulations in a Polythiophene film interfaced with an electrolyte". ACS Applied Materials & Interfaces 13, 30, 36595-36604 (2021).
  • Giovanna Guidobonni, Nicholas M. Marazzi, Joshua Fraser, Riccardo Sacco, Kannappan Palaniappan, and Virginia H Huxley. ''Fluid and protein exchange in microvascular networks: Importance of modelling heterogeneity in geometrical and biophysical properties". The Journal of Physiology, https://doi.org/10.1113/JP281841 (2021).
  • Greta Chiaravalli, Giovanna Guidoboni, Riccardo Sacco, Jake Radell and Alon Harris. ''A multiscale/multiphysics model for the theoretical study of the vascular configuration of retinal capillary plexuses based on OCTA data". Mathematical Medicine and Biology, https://doi.org/10.1093/imammb/dqab018 (2021).
  • Simona Francia, Dmytro Shmal, Stefano Di Marco, Giovanni Manfredi, Anna Rocchi, Greta Chiaravalli, José Fernando Maya-Vetencourt, Mattia Lorenzo DiFrancesco, Marcella Attanasio, Sara Cuppini, Riccardo Sacco, Silvia Bisti, Maurizio Mete, Grazia Pertile, Guglielmo Lanzani, Elisabetta Colombo, Fabio Benfenati. ''Light-induced charge generation in polymeric nanoparticles restores vision in advanced-stage retinitis pigmentosa rats". Accepted for publication in Nature Communications (2022).
  • Lorena Bociu; Giovanna Guidoboni; Daniele Prada; Riccardo Sacco. ''Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: comparison between functional iteration and operator splitting methods". Accepted for publication in Journal of Computational Physics (2022).

    Peer-Reviewed Abstracts for the ARVO Annual Meeting (Association for Research and Vision in Ophthalmology)

  • Theoretical investigation of factors influencing oxygen levels in retinal vessels and tissue, Giovanna Guidoboni; Francesca Malgaroli; Paola Causin; Riccardo Sacco; Brent A Siesky; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2014; 55(13):4323.
  • Effect of scleral anchorage on the perfusion of the lamina cribrosa. Daniele Prada; Giovanna Guidoboni; Samuele Terragni; Riccardo Sacco; Paola Causin; Brent A Siesky; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2014; 55(13):4255.
  • Influence of blood pressure and vascular resistance on the response to medications lowering intraocular pressure: a mathematical model. Giovanna Guidoboni; Alon Harris; Brent Siesky; Christophe Prud'homme; Riccardo Sacco; Marcela Szopos. Invest. Ophthalmol. Vis. Sci.. 2015; 56(7 ):5820.
  • The role of HCO - 3 and Na/K ATPase in the regulation of aqueous humor production: a mathematical model. Riccardo Sacco; Aurelio Giancarlo Mauri; Lorenzo Sala; Simone Cassani; Brent A Siesky; Giovanna Guidoboni; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2016; 57(12)
  • Influence of tissue viscoelasticity on the optic nerve head perfusion: a mathematical model. Daniele Prada; Riccardo Sacco; Bernardo Cockburn; Lorena Bociu; Justin Webster; Brent A Siesky; Alon Harris; Giovanna Guidoboni. Invest. Ophthalmol. Vis. Sci.. 2016; 57(12):3558.
  • Mathematical modeling and statistical analysis of aqueous humor flow towards individualized glaucoma treatment. Simone Cassani; Giovanna Guidoboni; Marcela Szopos; Christophe Prud'homme; Riccardo Sacco; Brent A Siesky; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2016; 57(12):6404.
  • Patient-specific virtual simulator of tissue perfusion in the lamina cribrosa. Lorenzo Sala; Christophe Prud'homme; Daniele Prada; Fabrizia Salerni; Christophe Trophime; Vincent Chabannes; Marcela Szopos; Rodolfo Repetto; Silvia Bertoluzza; Riccardo Sacco; Alon Harris; Giovanna Guidoboni. Invest. Ophthalmol. Vis. Sci.. 2017; 58(8):727.
  • Increased levels of nitric oxide may pathologically affect functional hyperemia in the retina: model and simulation. Riccardo Sacco; Aurelio Giancarlo Mauri; Alessandra Cardani; Brent A Siesky; Giovanna Guidoboni; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2017; 58(8):214.
  • A theoretical study of the role of conformational properties of transepithelial ion pumps on aqueous humor production. Riccardo Sacco; Lorenzo Sala; Aurelio Giancarlo Mauri; Dario Messenio; Giovanna Guidoboni; Brent Siesky; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2018; 59(9):1656.
  • Quantifying retinal and choroidal contributions to macular oxygenation: a theoretical approach. Alice Chandra Verticchio Vercellin; Alon Harris; Thomas A Ciulla; Greta Chiaravalli; Riccardo Sacco; Brent A Siesky; Ingrida Januleviciene; Giovanna Guidoboni. Invest. Ophthalmol. Vis. Sci.. 2019; 60(9):28.
  • Electrochemical characterization of ciliary epithelium physiology: a theoretical approach. Giovanna Guidoboni; Giulio Bonifazi; Riccardo Sacco; Anita Layton; Sarah D Olson; Maila C Brucal Hallare; Brent A Siesky; Carlo Bruttini; Alice Chandra Verticchio Vercellin; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2019; 60(9):3202.
  • A theoretical investigation of the role of arachidonic acid in astrocyte vasoactive agent production. Riccardo Sacco; Giovanna Guidoboni; Aurelio Giancarlo Mauri; Brent A Siesky; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2019; 60(9):4393.
  • A theoretical study of vascular configurations of retinal capillary plexi based on OCTA data. Greta Chiaravalli; Giovanna Guidoboni; Riccardo Sacco; Thomas A Ciulla; Alon Harris. Invest. Ophthalmol. Vis. Sci.. 2019; 60(9):149.
  • A mathematically-based virtual laboratory for the study of the role of electroneutrality in aqueous humor production. Riccardo Sacco; Alon Harris; Giovanna Guidoboni; Brent A Siesky; Joseph W. Jerome; Giulio Bonifazi; Nicholas Marazzi; Matthew Lang; Alice Verticchio Vercellin. Invest. Ophthalmol. Vis. Sci.. 2020; 61: 4632.
  • Paracellular and intracellular transport in aqueous humor production: theoretical modeling and simulation. Riccardo Sacco; Greta Chiaravalli; Giovanna Guidoboni; Brent A Siesky; Alice Verticchio Vercellin; Alon Harris. Investigative Ophthalmology & Visual Science June 2021, Vol.62, 556.

    Papers in Proceedings with Peer-Review

  • S. Micheletti, A. Quarteroni, R. Sacco, "Nonlinear Block Iterative Solution of Semiconductor Device equations by a Domain Decomposition Method", in 'Domain Decomposition Methods in Scientific and Engineering Computing', D. Keyes et al. (eds.), Contemporary Mathematics, American Mathematical Society, Vol. 180, 525-531 (1994).
  • R. Sacco, E. Gatti, L. Gotusso, "A discussion on two-dimensional finite element solutions of the drift-diffusion semiconductor device equations. Theory and numerical examples", in 'International Workshop on Advanced Mathematical Methods in Electrical and Electronic Measurements', IEEE - North Italy Section, 177-201 (1994).
  • R. Sacco, F. Saleri, "Exponentially fitted mixed finite volume methods for convection-diffusion problems", in 'Proceedings of the Ninth International Conference on Finite Elements in Fluids, New Trends and Applications' (Eds.: M. Morandi Cecchi, K. Morgan, J. Periaux, B. A. Schrefler, O. C. Zienkiewicz), 1587-1596 (1995).
  • R. Sacco, F. Saleri, "A new mixed finite volume method for drift-diffusion models in semiconductors", in 'Finite Volumes for Complex Applications. Problems and Perspectives' (Eds.: F. Benkhaldoun, R. Vismeier), Hermes-Paris, 365--372 (1996).
  • F. Bosisio, E. Gatti, R. Sacco, F. Saleri, "Exponentially Fitted Mixed Finite Volumes for Energy Balance Models in Semiconductor Device Simulation", ENUMATH97, Proceedings of the Second European Conference on Numerical Mathematics and Advanced Applications, 188-197 (1998).
  • S. Micheletti, R. Sacco, "New Developments in the Numerical Approximation of the Drift-Diffusion Semiconductor Device Equations", ENUMATH97, Proceedings of the Second European Conference on Numerical Mathematics and Advanced Applications, 469-478 (1998).
  • P.Causin, R. Sacco, "Mixed-Hybrid Galerkin and Petrov-Galerkin Finite Element Formulations in Continuum Mechanics", Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Editors: H.A. Mang, F.G. Rammestorfer, J. Eberhardsteiner, Publisher: Vienna University of Technology, ISBN 3-9501554-0-6, http://wccm.tuwien.at, Vienna, Austria (2002).
  • S. Micheletti, R. Sacco, P. Simioni, "Numerical Simulation of Resonant Tunnelling Diodes with a Quantum-Drift-Diffusion Model", Scientific Computing in Electrical Engineering (SCEE-2002, June 23-28, 2002, Eindhoven, The Netherlands),Eds. W.H.A. Schilders, E.J.W. ter Maten, S.H.M.J. Houben, Lecture Notes in Computer Science, Springer-Verlag, 313-321 (2004).
  • P. Causin, R. Sacco, "Mixed-Hybrid Finite Element Methods for Coupled Problems in Silicon Dioxide Technology", Lecture Notes in Computer Science, SCEE2002, Eds. W.H.A. Schilders, E.J.W. ter Maten, S.H.M.J. Houben, Eindhoven, The Netherlands, pp. 154--162, Springer-Verlag (2004).
  • C.L. Bottasso, P. Causin, R. Sacco, "An Upwind-Mixed Method for Advection-Diffusion Problems with Static Condensation", Applied and Industrial Mathematics in Italy, Series on Advances in Mathematics for Applied Sciences, M. Primicerio, R. Spigler, V. Valente (Eds.), Vol. 69, World Scientific, Singapore, 167-178 (2005).
  • B. Chini, J.W. Jerome, R. Sacco, ``Multi-Physics Modeling and Finite Element Approximation of Charge Flow in Ionic Channels'', Proceedings of EuroSimE 2006, ``Thermal, Mechanical and Multi-Physics Simulation and Experiments in Micro-Electronics and Micro-Systems", L.J. Ernst, G.Q. Zhang, P. Rodgers, M. Meuwissen, S. Marco, O. de Saint Leger (Eds.), IEEE Shaker Publishing, Maastricht (The Netherlands), 153-160 (2006).
  • G. Cassano, C. Giulianetti, C. de Falco, R. Sacco, ``Quantum Corrected Drift-Diffusion Modeling and Simulation of Tunneling Effects in Nanoscale Semiconductor Devices", Scientific Computing in Electrical Engineering, Proceedings of the SCEE-2004 Conference held in Capo d'Orlando (ME), Series: Mathematics in Industry, The European Consortium for Mathematics in Industry, Vol. 9, A.M. Anile, G. Ali`, G. Mascali (Eds.), Springer-Verlag Berlin Heidelberg, 300-307 (2006).
  • P. Causin, R. Sacco, ``Hybridization of Galerkin and Petrov-Galerkin Mixed Finite Element Methods for 2nd Order Elliptic Problems'', Communications to SIMAI Congress, ISSN 1827-9015, DOI: 10.1685/CSC06168, Vol. 2 (2007).
  • M. Longaretti, J. W. Jerome, R. Sacco, B. Chini, ``Computational Models for The Numerical Simulation of Voltage Operated Channels in Nano-Bio-Electronics'', PAMM, Proc. Appl. Math. Mech., 7, 1030803-1030804 (2007).
  • C. de Falco, J. W. Jerome, R. Sacco, ``A Functional Iteration for the Quantum Drift-Diffusion Model: Existence Analysis and Numerical Approximation'', PAMM, Proc. Appl. Math. Mech., 7, 1130603-1130604 (2007).
  • R. Sacco, ''Multi-Physics Models for Bio-Hybrid Device Simulation'', MathKnow, Mathematics, Applied Sciences and Real Life, M. Emmer, A. Quarteroni Eds., Modeling, Simulation and Applications, Vol. 3, Springer-Verlag Italia, 229-240 (2009).
  • C. de Falco, R. Sacco, ''Error Estimates for a Mixed Hybridized Finite Volume Method for 2nd Order Elliptic Problems'' (October 2010). BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods. Lecture Notes in Computational Science and Engineering, 2011, Volume 81, 109-117, DOI: 10.1007/978-3-642-19665-2_12.
  • C. de Falco, A. Iacchetti, M. Binda, D. Natali, R. Sacco, M. Verri, ''Modeling and Simulation of Organic Solar Cells''. Proceedings of the Conference ''Scientific Computing in Electrical Engineering SCEE 2010'', Series: Mathematics in Industry, Vol. 16, Subseries: The European Consortium for Mathematics in Industry, Michielsen, B., Poirier, J.-R. (Eds.), 1st Edition., ISBN 978-3-642-22452-2 (2011).
  • P. Causin, R. Sacco, ''A Computational Model for Biomass Growth Simulation in Tissue Engineering''. Communications in Applied and Industrial Mathematics DOI: 10.1685/journal.caim.370 (2011).
  • G. Novielli, A. Ghetti, E. Varesi, A. Mauri, R. Sacco. ''Atomic Migration in Phase Change Materials''. Proceedings of IEDM 2013 (IEEE International Electron Devices Meeting), Washington, DC, December 9-11, 2013, 978-1-4799-2306-9/13/, pp. IEDM13-589-IEDM13-592, 2013.
  • M. Porro, C. de Falco, R. Sacco and M. Verri. "Multiscale Modeling of Heterojunction Organic Photovoltaic Devices", pp. 17-22 Progress in Industrial Mathematics at ECMI 2012, Magnus Fontes, Michael Guenther, Nicole Marheineke Eds., Springer International Publishing Switzerland 2014. http://dx.doi.org/10.1007/978-3-319-05365-3_3
  • P. Causin, G. Guidoboni, F. Malgaroli, R. Sacco, A. Harris. "Impact of blood flow on ocular pathologies: can mathematical and numerical modeling help preventing blindness?", pp.: not available The European Consortium for Mathematics in Industry, Editor-in-chief: Capasso, V. Series Editors: Bonilla, L.L., Guenther, M., Scherzer, O., Schilders, W. Series: Mathematics in Industry, Springer, 2015.
  • R. Sacco, S. Cassani, G. Guidoboni, M. Szopos, C. Prudhomme, A. Harris. "Modeling the coupled dynamics of ocular blood flow and production and drainage of aqueous humor", pp. 608-611 Proceedings of the 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2015 29 June-1 July 2015, France. P. Nithiarasu and E. Budyn (Eds.)
  • N. M. Marazzi, V. H. Huxley, R. Sacco and G. Guidoboni. ''Quantitative study of the coupling among cardiovascular system, lymphatic system and interstitial space". Accepted for publication in the Proceedings of AMMCS-2019 (Editors: D. M. Kilgour, H. Kunze, R. Makarov, R. Melnik and S. Wang), Book Title: Recent Advances in Mathematical and Statistical Methods, Series: Springer Proceedings in Mathematics & Statistics, Springer (2020).

    Technical Reports

  • R. Sacco, "Introduzione al metodo degli elementi finiti: teoria e applicazioni" (in Italian), Technical Report n. 13/R, Dipartimento di Matematica "F. Brioschi", Politecnico di Milano (1995).
  • P. Causin, S. Micheletti, R. Sacco, "Introduzione all'uso di MATLAB per il Calcolo Scientifico" (in Italian), Technical Report n. 29/R, Dipartimento di Matematica "F. Brioschi", Politecnico di Milano (2000).

    • Papers Under Review

  • Silvia Bertoluzza; Giovanna Guidoboni; Romain Hild; Daniele Prada; Christophe Prud'homme; Riccardo Sacco; Lorenzo Sala; Marcela Szopos. ''A HDG method for elliptic problems with integral boundary condition: Theory and Applications". Submitted to Journal of Scientific Computing (2022).