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 physically-based 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 26-27, 2013. ISBN 10: 90-6299-241-2. ISBN 13: 978-90-6299-241-6


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. Jimenez-Roman and V. Costa. Elsevier Masson Doyma, Mexico. ISBN: 978-607-504-019-6


PhD and Master theses.

D. Prada A hybridized discontinuous Galerkin method for nonlinear porous media viscoelasticity with applications in ophthalmology. PhD thesis, November 2016, IUPUI, expected. Main advisor: G. Guidoboni. Co-advisors: 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. Co-advisors: 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. Co-advisors: A. Harris, J. Arciero.

S. Cassani. Blood circulation and aqueous humor flow in the eye: multi-scale modeling and clinical applications. Ph.D. thesis, August 2016, IUPUI, Purdue University. Main advisor: G. Guidoboni. Co-advisors: 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. Co-advisors: 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. Co-advisors: 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. Co-advisors: G. Guidoboni, A.G. Mauri.

Research articles.

Submitted

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 open-angle glaucoma. Expert Reviews in Ophthalmology (2016). In press

Published

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) 89-96

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. Computer-aided identification of novel ophthalmic artery waveform parameters in healthy subjects and glaucoma patients. Journal for Modeling in Ophthalmology 1(2) (2016) 59-69

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) 70-78

A.G. Mauri, L. Sala, P. Airoldi, G. Novielli, R. Sacco, S. Cassani, G. Guidoboni, B.A. Siesky, A. Harris. Electro-fluid dynamics of aqueous humor production: simulations and new directions. Journal for Modeling in Ophthalmology 1(2) (2016) 48-58

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) 29-39

A. Harris, G. Guidoboni. Letter to the reader. Journal for Modeling in Ophthalmology 1(1) (2016) 4-5

L. Bociu, G. Guidoboni, R. Sacco, J.T. Webster. Analysis of nonlinear poro-elastic and poro-visco-elastic models. Archives of Rational Mechanics and Analysis 222(3) (2016) 1445-1519 [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) 893-907 [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) 164-186

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) 64-87

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): 525-42 [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) 1-4

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. 29-36). Amsterdam, the Netherlands: Kugler Publications.

J. Park, A. Amireskandari, G. Guidoboni, B. Siesky, A. Harris. Open-angle 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. 67-76). 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. 59-66). 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. 161-175). 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) 33-41

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) 4105-18

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) 523-546

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 trans-lamina cribrosa pressure. B. J. Ophthalmol. 98(6) (2014) 721-725

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) 1-21

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) 5584-93
 
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) 139-146

G. Guidoboni, M. Guidorzi, M. Padula, Continuous dependence on initial data in fluid-structure motions.J. Math. Fluid Mech., Vol. 14, No.1 (2012) 1-32.

S. Primus, A. Harris, B.A. Siesky, G. Guidoboni. Diabetes: a risk factor for glaucoma? Br J Ophthalmol. 95(12) (2011) 1621-1622

A. Quaini, S. Canic, G. Guidoboni, R. Glowinski, S. Igo, C. Hartley, W. Zoghbi, S. Little. A Three-Dimensional 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)  77-89

O. Boiarkine, D. Kuzmin, S. Canic, G. Guidoboni, A. Mikelic, A Positivity Preserving ALE Finite Element Scheme for Convection-Diffusion Equations in Moving DomainsJ. Comput. Phys. 230 (2011) 2896-2914.

S. Canic, A. Mikelic, G. Guidoboni, Existence of a Unique Solution to a Nonlinear Moving-Boundary Problem of Mixed type Arising in Modeling Blood Flow. IMA Volume 153: Nonlinear Conservation Laws and Applications edited by Alberto Bressan, Gui-Qiang Chen, Marta Lewicka, and Dehua Wang, pp 235-256 (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) 115:251--293 (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 three-dimensional axially symmetric Biot problem arising in modeling blood flow. Communications on Pure and Applied Analysis 9 (4) 839-865 (2010). pdf

G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic, Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. J. Comput. Phys. Vol. 228, Issue 18 (2009) 6916-6937. 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 Robin-type boundary conditions. Comptes Rendus Mathematique. Vol. 347, Issues 15-16 (2009) 903-908. pdf

G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic, S. Lapin, A kinematically coupled time-splitting scheme for the fluid-structure interaction in blood flow. Appl. Math. Lett., Vol. 22, (2009) 684-688. 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) 72-81. pdf.
Click here to see a movie.

R. Glowinski, E.J. Dean, G. Guidoboni, H.L. Juarez, T.-W. Pan, Applications of Operator-Splitting methods to the direct simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monge-Ampere equation. Japan J. of Indust. Appl. Math., 25, (2008) 1-63. 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) 434-454. pdf. Click here to see a movie

A. Mikelic, G. Guidoboni, S. Canic, Fluid-structure interaction in a pre-stressed tube with thick elastic walls I: the stationary Stokes problem. Networks and Heterogeneous Media, Vol. 2, No. 3 (2007) 397-423. pdf

E.J. Dean, R. Glowinski, G. Guidoboni, On the numerical simulation of Bingham visco-plastic flow: old and new results. J. Non-Newtonian Fluid Mech., Vol. 142 (2007) 36-62. 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) 1064-1100. 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) 164-193. 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) 575-92. pdf

R. Glowinski, G. Guidoboni, T-W Pan, "Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity", J. Comput. Phys., Vol. 216, No. 1 (2006) 76-91. pdf
Simulation: a steady state is reached (Re=3000)
Simulation: instability (Re=10000)

G. Guidoboni, B.J. Jin, On the Nonlinear Stability of Marangoni-Benard Problem with Free Surface in the Boussinesq Approximation, Math. Models Methods Appl. Sci., Vol. 15, No.1 (2005) 1-22

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 31-33

G. Guidoboni, R. Sacco. Medici, matematici, ingegneri, fisici e biologi: un'alleanza interdisciplinare contro il glaucoma. Oftalmologia Domani N. 1 Anno 2016, pp 35-38

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. 608-611, Proceedings of the 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2015, June 29-July 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, Editor-in-Chief: 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 flat-surface state in the Faraday experiment, Free and moving boundaries, 363--374, 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 fluid-structure 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) 137-148

G. Guidoboni, "Linear and Nonlinear Stability Methods with Application to Fluid-Dynamics", 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 Navier-Stokes equations: theory and numerical methods (Varenna, 2000), 27--32, Lecture Notes in Pure and Appl. Math., 223, Dekker, New York, 2002

Current Address: Department of Mathematical Sciences, 402 N. Blackford St., LD270 | Indianapolis, IN 46202-3267
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