


Patents and Publications
Patents.
Methods and systems for patient specific identification and assessment of ocular disease risk factors and treatment efficacy
International patent application No.PCT/US2016/033521. Filed on 05/20/2016
Inventors: A. Harris, G. Guidoboni
Assignee: Indiana University Research and Technology Corporation
Methods and systems for patient specific identification and assessment of ocular disease risk factors
US provisional patent application No.62/65,304. Filed on 05/22/2015
Inventors: A. Harris, G. Guidoboni
Assignee: Indiana University Research and Technology Corporation
Books and Book Chapters.


R. Sacco, G. Guidoboni, A.G. Mauri. A comprehensive physicallybased approach to modeling in bioengineering and life sciences. Elsevier.
In progress. Expected to be completed by April 2018. 


S. Wentz, C. Seizys, G. Guidoboni, J. Arciero, K. Hutchins, B. Siesky, A. Harris.
The role of blood flow in glaucoma.
Chapter 18 in the book Glaucoma Research and
Clinical Advances: 2016 to 2018. Edited by P.A. Knepper and J.R. Samples. Kugler Publications, Amsterdam, The Netherlands (2016) 


Editors: P. Causin, G. Guidoboni, R. Sacco, A. Harris.
Integrated multidisciplinary
approaches in the study and care of the human eye.
Kugler Publications, Amsterdam, The Netherlands (2014)
Proceedings of the First Milano Workshop on Integrated Multidisciplinary Approaches for the Study and Care of the Human Eye, Milan, Italy, June 2627, 2013.
ISBN 10: 9062992412. ISBN 13: 9789062992416 


N. Geffen, G. Guidoboni, S. Armarnik, A. Amireskandari, A. Harris.
Relative roles of risk factors in the evaluation of a gluacoma suspect: clinical perspective and mathematical modeling.
Invited chapter in the book Glaucoma suspect book. The frontier. J. JimenezRoman and V. Costa. Elsevier Masson Doyma,
Mexico. ISBN: 9786075040196 
PhD and Master theses.
D. Prada A hybridizable discontinuous Galerkin method for nonlinear porous media viscoelasticity with applications in ophthalmology. PhD thesis, December 2016, IUPUI. Main advisor: G. Guidoboni. Coadvisors: A. Harris, J. Arciero
F. Salerni Design and development of a mathematical model to analyse visual impairment in astronauts.
Master thesis, October 2016, University of Genova (Italy), expected.
Main advisor: R. Repetto. Coadvisors: G. Guidoboni, C. Prud'homme, M. Szopos.
L. Carichino. Multiscale mathematical modeling of ocular blood flow and oxygenation and their relevance to glaucoma. Ph.D. thesis, August 2016, IUPUI, Purdue University.
Main advisor: G. Guidoboni. Coadvisors: A. Harris, J. Arciero.
S. Cassani. Blood circulation and aqueous humor flow in the eye:
multiscale modeling and clinical applications. Ph.D. thesis, August 2016, IUPUI, Purdue University.
Main advisor: G. Guidoboni. Coadvisors: A. Harris, J. Arciero.
B. Haydar. Lumped parameter models for cerebrospinal hydrodynamics during the cardiac cycle.
Master thesis, June 2016, University of Strasbourg (France). Main advisor: G. Guidoboni. Coadvisors: C. Prud'homme, M. Szopos.
L. Sala. A cellular scale model of aqueous humor production. Master thesis, May 2016, Politecnico di Milano (Italy).
Main advisor: R. Sacco. Coadvisors: A.G. Mauri, G. Guidoboni
A. Cardani. Theoretical analysis of neurovascular mechanisms contributing to retinal blood flow regulation.
Master Thesis, December 2015, Politecnico di Milano (Italy). Main advisor: R. Sacco. Coadvisors: G. Guidoboni, A.G. Mauri.
Research articles.
Submitted
L. Carichino, G. Guidoboni, M. Szopos. Energybased operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows: the Stokes case. Journal of Computational Physics. Submitted (September 2017)
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. Submitted (July 2017)
A. Harris, J. Gross, D. Prada, B. Siesky, G. Guidoboni.
The relationship between cerebrospinal fluid pressure and blood flow in the retina and optic nerve.
Submitted (October 2016)
In press
J.C. Gross, A. Harris, B.A. Siesky, R. Sacco, A. Shah, G. Guidoboni. Mathematical modeling for novel treatment approaches to
openangle glaucoma. Expert Reviews in Ophthalmology (2016). In press
Published
H.T. Banks, K. BekeleMaxwell, L. Bociu, M. Noorman, G. Guidoboni.
Sensitivity analysis in poroelastic and poroviscoelastic models.
Quarterly of Applied Mathematics 75 (2017) 697735
A. Guglielmi, G. Guidoboni, A. Harris. Role of ocular perfusion pressure in glaucoma: the
issue of multicollinearity in statistical regression models. Journal for Modeling in Ophthalmology 1(2) (2016) 8996
L. Carichino, G. Guidoboni, A.C. Verticchio Vercellin, G. Milano, C.A. Cutolo, C. Tinelli, A. De Silvestri,
S. Lapin, J.C. Gross, B.A. Siesky, A. Harris. Computeraided identification of novel ophthalmic artery waveform parameters in
healthy subjects and glaucoma patients. Journal for Modeling in Ophthalmology 1(2) (2016) 5969
S. Cassani, J. Arciero, G. Guidoboni, B. Siesky, A. Harris. Theoretical predictions of metabolic
flow regulation in the retina. Journal for Modeling in Ophthalmology 1(2) (2016) 7078
A.G. Mauri, L. Sala, P. Airoldi, G. Novielli, R. Sacco, S. Cassani, G. Guidoboni, B.A. Siesky, A. Harris.
Electrofluid dynamics of aqueous humor production: simulations and new directions.
Journal for Modeling in Ophthalmology 1(2) (2016) 4858
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 1(2) (2016) 2939
A. Harris, G. Guidoboni. Letter to the reader. Journal for Modeling in Ophthalmology 1(1) (2016) 45
L. Bociu, G. Guidoboni, R. Sacco, J.T. Webster.
Analysis of nonlinear poroelastic and poroviscoelastic models.
Archives of Rational Mechanics and Analysis 222(3) (2016) 14451519 [Epub 2016 Jul 14]
A. Dziubek, G. Guidoboni, A. Harris, A.H. Hirani, E. Rusjan, W. Thistleton.
Effecy of ocular shape and vascular geometry on retinal hemodynamics: a computational model.
Biomechanics and Modeling in Mechanobiology 15(4) (2016) 893907 [Epub 2015 Oct 7]
D. Prada, A. Harris, G. Guidoboni, B. Siesky, A.M. Huang, J. Arciero.
Autoregulation and
neurovascular coupling in the optic nerve head.
Survey of Ophthalmology 61(2) (2016) 164186
L. Carichino, A. Harris, G. Guidoboni, B.A. Siesky, L. Abegão Pinto, E. Vandewalle, O.B. Olafsdottir, S.H. Hardarson,
K. van Keer, I. Stalmans, E. Stefánsson, J.C. Arciero.
A theoretical investigation of the increase in venous oxygen saturation levels in advanced glaucoma patients.
Journal for Modeling in Ophthalmology 1(1) (2016) 6487
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.
Biomech Model Mechanobiol. 2016 Jun; 15(3): 52542 [Epub 2015 Aug 1]
G. Guidoboni, R. Sacco.
Multiphysics/multiscale modeling and applications of coupled processes in biological and nanotechnological systems.
J. Coupled Syst. Multiscale Dyn. 3(1) (2015) 14
S. Cassani, G. Guidoboni, I. Janulviciene, L. Carichino, B.A. Siesky, L.A. Tobe,
A. Amireskandari, D.P. Baikstiene, A. Harris.
Effect of trabeculectomy on retinal hemodynamics: mathematical modeling of clinical data (2014).
In P. Causin, G. Guidoboni, R. Sacco and A. Harris (Eds),
Integrated Multidisciplinary Approaches in the
Study and Care of the Human Eye (pp. 2936).
Amsterdam, the Netherlands: Kugler Publications.
J. Park, A. Amireskandari, G. Guidoboni, B. Siesky, A. Harris. Openangle glaucoma and blood flow (2014).
In P. Causin, G. Guidoboni, R. Sacco and A. Harris (Eds), Integrated Multidisciplinary Approaches in the
Study and Care of the Human Eye (pp. 6776). Amsterdam, the Netherlands: Kugler Publications
L. Carichino, G. Guidoboni, B.A. Siesky, A. Amireskandari, I. Januleviciene, A. Harris.
Effect of intraocular pressure and cerebrospinal fluid pressure on the blood flow in the central retinal vessels (2014).
In P. Causin, G. Guidoboni, R. Sacco and A. Harris (Eds), Integrated Multidisciplinary Approaches in the
Study and Care of the Human Eye (pp. 5966). Amsterdam, the Netherlands: Kugler Publications.
P. Causin, G. Guidoboni, F. Malgaroli, R. Sacco, A. Harris.
Mathematical modeling of retinal microcirculation and oxygen delivery (2014).
In P. Causin, G. Guidoboni, R. Sacco and A. Harris (Eds),
Integrated Multidisciplinary Approaches in the
Study and Care of the Human Eye (pp. 161175). Amsterdam, the Netherlands: Kugler Publications
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.
Math Biosci. 257 (2014) 3341
G. Guidoboni, A. Harris, S. Cassani,
J. Arciero, B. Siesky, A. Amireskandari, L. Tobe, P. Egan, I. Januleviciene, J. Park.
Intraocular Pressure, blood pressure and retinal blood flow autoregulation: a
mathematical model to clarify their relationship and clinical relevance.
Invest Ophthalmol Vis Sci. 55(7) (2014) 410518
G. Guidoboni,
A. Harris, L. Carichino, Y. Arieli, B.A. Siesky,
Effect of Intraocular Pressure on the Hemodynamics of the
Central Retinal Artery: a Mathematical Model. Math Biosci Eng. 11(3) (2014) 523546
B. Marek, A. Harris, P. Kanakamedala, E. Lee, A. Amireskandari, L. Carichino,
G. Guidoboni, L.A. Tobe, B.A. Siesky,
Cerebrospinal
fluid pressure and glaucoma: regulation of translamina cribrosa pressure.
B. J. Ophthalmol. 98(6) (2014) 721725
G. Guidoboni, A. Harris, J.C. Arciero, B.A. Siesky,
A. Amireskandari, A.L. Gerber, A.H. Huck, N.J. Kim, S. Cassani, L. Carichino.
Mathematical modeling approaches in the study of glaucoma disparities
among people of African and European Descents. J. Coupled Syst. Multiscale Dyn. 1(1) (2013) 121
J. Arciero, A. Harris, B. Siesky, A. Amireskandari, V. Gershuny, A. Pickrell,
G. Guidoboni.
Theoretical analysis of vascular regulatory mechanisms
contributing to retinal blood flow autoregulation. Invest Ophthalmol Vis Sci. 54(8) (2013) 558493
A. Harris, G. Guidoboni,
J.C. Arciero, A. Ameriskandari, L.A. Tobe, B.A. Siesky, Ocular
hemodynamics and glaucoma:
the role of mathematical modeling. Eur J Ophthalmol. 23(2) (2013) 139146
G. Guidoboni,
M. Guidorzi, M. Padula, Continuous dependence on initial
data in fluidstructure motions.J. Math. Fluid Mech., Vol.
14, No.1 (2012) 132.
S. Primus, A. Harris, B.A.
Siesky, G. Guidoboni.
Diabetes:
a risk factor for glaucoma? Br J Ophthalmol. 95(12)
(2011) 16211622
A. Quaini, S. Canic, G. Guidoboni, R.
Glowinski, S. Igo, C. Hartley, W. Zoghbi, S. Little. A ThreeDimensional Computational
Fluid Dynamics Model of
Regurgitant Mitral Valve Flow: Validation Against in vitro Standards and 3D Color Doppler Methods. Cardiovascular Engineering and
Technology Vol. 2 (no. 2) (2011) 7789
O. Boiarkine, D. Kuzmin,
S. Canic, G.
Guidoboni, A. Mikelic, A
Positivity Preserving ALE Finite Element Scheme for
ConvectionDiffusion Equations in Moving Domains. J.
Comput. Phys. 230
(2011) 28962914.
S. Canic, A. Mikelic,
G. Guidoboni,
Existence of a
Unique Solution
to a Nonlinear MovingBoundary Problem of Mixed type Arising in
Modeling Blood Flow. IMA Volume 153: Nonlinear
Conservation Laws and Applications edited by Alberto Bressan, GuiQiang
Chen,
Marta Lewicka, and Dehua Wang, pp 235256 (2011)
A. Quaini, S. Canic, G. Guidoboni, R. Glowinski, S. R. Igo, C.
J. Hartley, W. A. Zoghbi, S. H. Little, Numerical Simulation of an
Ultrasound Imaging Model of Mitral Valve Regurgitation.
Cardiology (Abstracts) 115:251293 (2010).
J. I. Diaz, G. Guidoboni, T. Kim, R. Glowinski,
Qualitative properties of the
solutions to Bingham flow type problems: on the geometry of their
support and their stabilization for large time. Rev. R.
Acad. Cien. Serie A. Mat RACSAM Vol. 104, No. 1 (2010) 157–200.
T. Kim, S. Canic, G. Guidoboni, Existence and uniqueness of a
solution to a threedimensional axially symmetric Biot problem arising
in modeling blood flow. Communications on Pure and Applied
Analysis 9 (4) 839865 (2010). pdf
G. Guidoboni, R.
Glowinski, N. Cavallini, S. Canic, Stable
looselycoupledtype algorithm for fluidstructure interaction in blood
flow. J. Comput. Phys. Vol. 228, Issue 18 (2009) 69166937. pdf
Movie
1: Benchmark problem, structure and fluid densities ratio
equal to 1.
Movie 2: Benchmark problem, structure and fluid densities
ratio equal to 0.1.
R. Glowinski, G. Guidoboni, On
the preconditioned conjugate gradient solution of a Stokes problem with
Robintype boundary conditions. Comptes Rendus Mathematique.
Vol. 347, Issues 1516 (2009) 903908. pdf
G. Guidoboni, R.
Glowinski, N. Cavallini, S. Canic, S. Lapin, A kinematically
coupled timesplitting scheme for the fluidstructure interaction in
blood flow. Appl. Math. Lett., Vol. 22, (2009) 684688. pdf
G. Guidoboni, R.
Glowinski, M. Pasquali, Operator Splitting for the
numerical solution of free surface flow at low capillary numbers.
J. Comput. Appl. Math. Vol. 232, Issue 1 (2009) 7281. pdf.
Click here
to see a movie.
R. Glowinski, E.J. Dean, G. Guidoboni,
H.L. Juarez, T.W. Pan, Applications of OperatorSplitting
methods to the direct simulation of particulate and freesurface flows
and to the numerical solution of the twodimensional elliptic
MongeAmpere equation. Japan J. of Indust. Appl. Math., 25,
(2008) 163. pdf
R. Glowinski, G. Guidoboni, Hopf
bifurcation in viscous incompressible flow down an inclined plane: a
numerical approach. J. Math. Fluid Mech. Vol 10 (2008)
434454. pdf.
Click here
to see a movie
A. Mikelic, G. Guidoboni, S.
Canic, Fluidstructure interaction in a prestressed tube
with thick elastic walls I: the stationary Stokes problem.
Networks and Heterogeneous Media, Vol. 2, No. 3 (2007) 397423. pdf
E.J. Dean, R. Glowinski,
G.
Guidoboni, On the numerical
simulation of Bingham viscoplastic flow: old and new results.
J. NonNewtonian Fluid Mech., Vol. 142 (2007) 3662. pdf
A. C. Skeldon,
G.
Guidoboni,
Pattern selection for
Faraday waves in an incompressible viscous fluid. SIAM J.
Appl. Math., Vol. 67 Issue 4 (2007) 10641100. pdf
S. Canic, J. Tambaca,
G.
Guidoboni, A. Mikelic, C.J. Hartley, D.
Rosenstrauch, "Modeling viscoelastic behaviour of arterial
walls and their interaction with pulsatile blood flow". SIAM
J. Appl. Math., Vol. 67 Issue 1 (2006) 164193. pdf
S. Canic, C.J. Hartley, D.
Rosenstrauch, J. Tambaca, G. Guidoboni,
A. Mikelic, Blood flow in compliant arteries: an effective
viscoelastic reduced model, numerics and experimental validation,
Ann. Biomed. Eng., Vol. 34, No. 4 (2006) 57592. pdf
R. Glowinski,
G.
Guidoboni, TW Pan, "Walldriven
incompressible viscous flow in a twodimensional semicircular cavity",
J. Comput. Phys., Vol. 216, No. 1 (2006) 7691. pdf
Simulation: a steady
state is reached (Re=3000)
Simulation:
instability (Re=10000)
G. Guidoboni, B.J.
Jin, On the Nonlinear Stability of MarangoniBenard Problem
with Free Surface in the Boussinesq Approximation, Math.
Models Methods Appl. Sci., Vol. 15, No.1 (2005) 122
Other publications.
G. Guidoboni, R. Sacco. La modellistica matematica può suggerire nuovi approcci terapeutici per la cura del glaucoma
ad angolo aperto. Oftalmologia Domani N. 2 Anno 2016, pp 3133
G. Guidoboni, R. Sacco. Medici, matematici, ingegneri, fisici e biologi: un'alleanza interdisciplinare contro il glaucoma. Oftalmologia Domani N. 1 Anno 2016, pp 3538
R.Sacco, S. Cassani, G. Guidoboni, M. Szopos, C. Prud'homme, A. Harris. Modeling the coupled dynamics of ocular blood flow and production and drainage of aqueous humor, pp. 608611, Proceedings of the 4th International Conference on Computational and Mathematical Biomedical Engineering  CMBE2015, June 29July 1, 2015, Cachan (France). P. Nithiarasu and E. Budyn (Eds)
P. Causin, G. Guidoboni, F. Malgaroli, R. Sacco, A. Harris. Impact of blood lfow on ocular pathologies: can mathematical and numerical modeling help preventing blindness?. The European Consortium for Mathematics in Industry, EditorinChief: V. Capasso. Series Editors: L.L. Bonilla, M. Guenther, O. Scherzer, W. Schilders. Series: Mathematics in Industry, Springer, 2015
G. Guidoboni, On
the nonlinear stability of the flatsurface state in the Faraday
experiment, Free and moving boundaries, 363374, Lect.
Notes Pure Appl. Math., 252, Chapman & Hall/CRC, Boca Raton, FL
(2007)
G. Guidoboni (joint work with
M. Padula), Uniqueness of weak solutions for a
fluidstructure interaction problem, Oberwolfach Report no.
49 (2005)
pdf
G. Guidoboni,
Metodi di stabilita'
lineare e nonlineare con applicazioni alla fluidodinamica,
Bollettino UMI Sez. A, Fascicolo 3/1 (2005)
G. Guidoboni,
M. Padula, "On the Benard problem", Progress in
Nonlinear Differential Equations and Their Applications, Vol. 61 (2005)
137148
G. Guidoboni, "Linear
and Nonlinear Stability Methods with Application to FluidDynamics",
PhD Thesis, Department of Mathematics, University of Ferrara (2004)
V. Coscia, G. Guidoboni, M.
Padula, "On the nonlinear stability of the magnetic Benard
problem", The NavierStokes equations: theory and numerical
methods (Varenna, 2000), 2732, Lecture Notes in Pure and Appl. Math.,
223, Dekker, New York, 2002


Current Address: Department of
Electrical Engineering and Computer Science, 201 Naka Hall, Columbia, MO 65211




