Publications

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Books

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Book Chapters

Modeling of Biological Systems: From Algebra to Calculus and Computer Simulations
A. Dimitrov, G. Guidoboni, W. Hall, R. Invernizzi, S. Lapin, T. McCutcheon, J. Pennington
In: Goldwyn, E.E., Ganzell, S., Wootton, A. (eds) Mathematics Research for the Beginning Student, Volume 1. Foundations for Undergraduate Research in Mathematics. Birkhäuser, Cham (2022)
https://doi.org/10.1007/978-3-031-08560-4_7

Anatomy and Physiology of the Anterior Chamber: Impact on Product Development
SP. Srinivas, G. Guidoboni, A. Burli, B. Harjai, UB. Kompella
In: Neervannan, S., Kompella, U.B. (eds) Ophthalmic Product Development. AAPS Advances in the Pharmaceutical Sciences Series, vol 37. Springer, Cham (2021)
https://doi.org/10.1007/978-3-030-76367-1_3

Transcorneal Kinetics of Topical Drugs and Nanoparticles
SP. Srinivas, W. Chaiyasa, A. Burli, G. Guidoboni, R. Sacco, A. Anand, A. H. Siraj, H. Daima, UB. Kompella
In: Neervannan, S., Kompella, U.B. (eds) Ophthalmic Product Development. AAPS Advances in the Pharmaceutical Sciences Series, vol 37. Springer, Cham (2021)
https://doi.org/10.1007/978-3-030-76367-1_6

Ocular Blood Flow and Glaucoma
V. Costa, G. Guidoboni, A. Harris, S. Mathew, B. Siesky, A.C. Verticchio Vercellin
In: Lerner, F., Feijoó, J. G., Júlvez, L. P. (eds) Glaucoma. Journal Editions, Buenos Aires (2020)

Mathematical and Physical Modeling Principles of Complex Biological Systems
R. Sacco, G. Guidoboni, A.G. Mauri
In: Guidoboni, G., Harris, A., Sacco, R. (eds) Ocular Fluid Dynamics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham (2019)
https://doi.org/10.1007/978-3-030-25886-3_1

Vascular Anatomy and Physiology of the Eye
D. Prada, A. Harris, G. Guidoboni, L. Rowe, A.C. Verticchio-Vercellin, S. Mathew
In: Guidoboni, G., Harris, A., Sacco, R. (eds) Ocular Fluid Dynamics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham (2019)
https://doi.org/10.1007/978-3-030-25886-3_2

Pathological Consequences of Vascular Alterations in the Eye
D. Prada, L. Rowe, A. Hajrasouliha, T. Ciulla, I. Januleviciene, G. Chiaravalli, G. Guidoboni, A. Harris
In: Guidoboni, G., Harris, A., Sacco, R. (eds) Ocular Fluid Dynamics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham (2019)
https://doi.org/10.1007/978-3-030-25886-3_3

Mathematical Modeling of Blood Flow in the Eye
J. Arciero, L. Carichino, S. Cassani, G. Guidoboni
In: Guidoboni, G., Harris, A., Sacco, R. (eds) Ocular Fluid Dynamics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham (2019)
https://doi.org/10.1007/978-3-030-25886-3_5

Statistical Methods in Medicine: Application to the Study of Glaucoma Progression
A. Guglielmi, G. Guidoboni, A. Harris, I. Sartori, L. Torriani
In: Guidoboni, G., Harris, A., Sacco, R. (eds) Ocular Fluid Dynamics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham (2019)
https://doi.org/10.1007/978-3-030-25886-3_24

The Relationship Between Cerebrospinal Fluid Pressure and Blood Flow in the Retina and Optic Nerve
A. Harris, J. Gross, D. Prada, B. Siesky, A.C. Verticchio Vercellin, L. Saint, G. Guidoboni
In: Wang, N. (eds) Intraocular and Intracranial Pressure Gradient in Glaucoma. Advances in Visual Science and Eye Diseases, vol 1. Springer, Singapore (2019)
https://doi.org/10.1007/978-981-13-2137-5_33

The Role of Blood Flow in Glaucoma
S. Wentz, C. Seizys, G. Guidoboni, J. Arciero, K. Hutchins, B. Siesky, A. Harris
In: Knepper, P.A., Samples, J.R. (eds) Glaucoma Research and Clinical Advances 2018 to 2020, Kugler Publications (2016)
ISBN 978-90-6299-271-3

Relative Roles of Risk Factors in the Evaluation of a Glaucoma Suspect: Clinical Perspective and Mathematical Modeling
N. Geffen, G. Guidoboni, S. Armarnik, A. Amireskandari, A. Harris
In: Jimenez, R.J., Costa., V.P., et al. (eds) Glaucoma Suspect Book. The frontier, Elsevier Masson Doyma Mexico (2016)
ISBN 978-607-504-019-6

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Review Articles

The eye as the window to the heart: optical coherence tomography angiography biomarkers as indicators of cardiovascular disease
R.L. Kellner, A. Harris, L. Ciulla, G. Guidoboni, A. Verticchio Vercellin, F. Oddone, C. Carnevale, M. Zaid, G. Antman, J.T. Kuvin, B. Siesky.
Journal of Clinical Medicine (2024) 13:829 – https://doi.org/ 10.3390/jcm13030829

Artificial Intelligence to aid glaucoma diagnosis and monitoring: state of the art and new directions
R. Nunez, A. Harris, O. Ibrahim, J. Keller, C. Wikle, E. Robinson, R. Zukerman, B. Siesky, A.C. Verticchio-Vercellin, L. Rowe, G. Guidoboni.
Photonics 9(11) (2022) 810 – https://doi: 10.3390/photonics9110810

Mathematical modeling of the lower urinary tract: A review
RD. Jaskowak, R. Nunez, R. Ramachandran, E. Alhajjar, J. Yin, G. Guidoboni, Z.C. Danziger
Neurology and Urodynamics 6 (2022)1305-1315 – https://doi: 10.1002/nau.24995

Ocular blood flow as it relates to race and disease on glaucoma
B. Siesky, A. Harris, A.C. Verticchio-Vercellin, G. Guidoboni, J.C. Tsai
Advances in Ophthalmology and Optometry 6 (2021) 245-262 – https://doi.org/10.1016/j.yaoo.2021.04.016

Neurodegenerative disorders of the eye and of the brain: a perspective on their fluid- dynamical connections and the potential of mechanism-driven modeling
G. Guidoboni, R. Sacco, M. Szopos, L. Sala, A.C. Verticchio-Vercellin, B. Siesky, A. Harris
Frontiers in Neuroscience 14 (2020) 566428 – https://doi.org/10.3389/fnins.2020.566428

Ocular blood flow as a clinical observation: value, limitations and data analysis
A. Harris, G. Guidoboni, B. Siesky, S. Mathew, A.C. Verticchio-Vercellin, L. Rowe, J. Arciero
Progress in Retinal and Eye Research 78 (2020) 100841 – https://doi.org/10.1016/j.preteyeres.2020.100841

Mathematical modeling for novel treatment approaches to open-angle glaucoma
J.C. Gross, A. Harris, B.A. Siesky, R. Sacco, A. Shah, G. Guidoboni
Expert Review of Ophthalmology 12(6) (2017) 443-455 – https://doi.org/10.1080/17469899.2017.1383896

Autoregulation in the optic nerve head
D. Prada, A. Harris, G. Guidoboni, B. Siesky, A.M. Huang, J. Arciero
Survey of Ophthalmology. 61(2) (2016) 164-186 – https://doi.org/10.1016/j.survophthal.2015.10.004

Cerebrospinal fluid pressure and glaucoma: regulation of trans-lamina cribrosa pressure
B. Marek, A. Harris, P. Kanakamedala, E. Lee, A. Amireskandari, L. Carichino, G. Guidoboni, L.A. Tobe, B. Siesky
British Journal of Ophthalmology 98(6) (2014) 721-725 – https://dx.doi.org/10.1136/bjophthalmol-2013-303884

Mathematical modeling approaches in the study of glaucoma disparities among people of African and European descents
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
Journal of Coupled Systems and Multiscale Dynamics 1(1) (2013) 1-21 – https://doi.org/10.1166/jcsmd.2013.1004

Ocular hemodynamics and glaucoma: the role of mathematical modeling
A. Harris, G. Guidoboni, J.C. Arciero, A. Ameriskandari, L.A. Tobe, B.A. Siesky
European Journal of Ophthalmology 23(2) (2013) 139-146 – https://doi.org/10.5301/ejo.5000255

On the numerical simulation of Bingham visco-plastic flow: old and new results
E.J. Dean, R. Glowinski, G. Guidoboni
Journal of Non-Newtonian Fluid Mechanics 142 (2007) 36-62 – https://doi.org/10.1016/j.jnnfm.2006.09.002

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Original Research Articles

Physiology-enhanced clustering for individualized prediction of glaucoma progression based on intraocular pressure and blood pressure
G. Guidoboni, J.M. Keller, C. K Wikle, D. Zou, R. Rai, M. Joyce, O. Ibrahim, R. Nunez, B.A. Siesky, A.C. Verticchio Vercellin, A. Harris
Submitted (2024)

Integrating artificial intelligence in ophthalmology: a pilot study of clinical understanding and adoption
E. Robinson, G. Guidoboni, A. Verticchio, R. Zukerman, J. Keller, B. A. Siesky, A. Harris
Submitted (2024)

A computational virtual laboratory to study the correlation between aqueous humor conventional outflow and intraocular pressure circadian rhythm
R. Sacco, G. Chiaravalli, G. Guidoboni, A. Layton, G. Antman, A. Verticchio, B. Siesky, A. Harris
Submitted (2024)

Analysis of a multiscale interface problem based on the coupling of partial and ordinary differential equations to model tissue perfusion
L. Bociu, M. Broussard, G. Guidoboni, S. Strikwerda
SIAM Multiscale Modeling and Simulation (2024) In Press.

A hybrid ODE-NN framework for modeling incomplete physiological systems.
A. Demirkaya, K. Lockwood, G. Stratis, T. Imbiriba, I. Ilieş, S. Rampersad, E. Alhajjar, G. Guidoboni, Z. Danziger, D. Erdoğmuş.
IEEE Transactions on Biomedical Engineering (2024) In Press.

Retinal Venous Vulnerability in Primary Open Angle Glaucoma: The Combined Effects of Intraocular Pressure and Blood Pressure with application to the Thessaloniki Eye Study
R. Rai, G. Guidoboni, C. Wikle, F. Topouzis, B. Siesky, A. Verticchio, G. Antman, A. Harris
La Matematica (2024). Published online https://doi.org/10.1007/s44007-024-00144-8

Analysis of Waveform Parameters in the Retinal Vasculature via Mathematical Modeling and Data Analytics Methods.
L. Sala, K. Lyons, G. Guidoboni, A. Harris, M. Szopos, S. Lapin
La Matematica (2024) Published online https://doi.org/10.1007/s44007-024-00137-7

Using Multi-Layer Perceptron Driven Diagnosis to Compare Biomarkers for Primary Open Angle Glaucoma.
N. Riina, A. Harris, B. A. Siesky, L. Ritzer, L. R. Pasquale, J. C. Tsai, J. Keller, B. Wirostko, J. Arciero, B. Fry, G. Eckert, A.Verticchio Vercellin, G. Antman, P. A. Sidoti, G. Guidoboni.
Investigative Ophthalmology & Visual Science (2024) 65(11):16

Onset of spontaneous filling and voiding cycles in the lower urinary tract: a modeling study
R. Nunez, E. Alhajaar, D. Jaskowak, Z. Danziger, G. Guidoboni
Bullettin of Mathematical Biology (2024) 86(10):122

Gene therapy bio-factory: Mathematical modeling of the human eye pharmacokinetics
L. Carichino, G. Guidoboni, V. Kansara, T. Ciulla, A. Harris
In: Wanduku, D., Zheng, S., Zhou, H., Chen, Z., Sills, A., Agyingi, E. (eds) Applied Mathematical Analysis and Computations II (2020
SGMC 2021. Springer Proceedings in Mathematics & Statistics, vol 472. Springer, Cham

Blood pressure and glaucoma: can physiology- enhanced artificial intelligence solve the enigma?
R. Kellner, A. Harris, L. Ciulla, R. Rai, B. Siesky, F. Topouzis, A. Verticchio Vercellin, G. Antman, J. Keller, D. Zou, C. Wikle, G. Guidoboni
Glaucoma Research and Clinical Ad-vances: 2022 to 2024, pp. 1-14 (2024)
Edited by J.R. Samples and W.D. Stamer, Kugler Publications, Amsterdam, The Netherlands

The Ocular Mathematical Virtual Simulator: a validated multiscale model for hemodynamics and biomechanics in the human eye
L. Sala, C. Prud’homme, G. Guidoboni, M. Szopos, A. Harris
International Journal for Numerical Methods in Biomedical Engineering 40(2) (2023) e3791

Analysis of the Contribution of Cardiovascular Compartments to the Ballistocardiogram Signal Using Mathematical Modeling
M. Zaid, R. Invernizzi, L. Sala, L. Despins, M. Popescu, J. Keller, M. Skubic, R. Sacco, M. Szopos, V.H. Huxley, G. Guidoboni
Computing in Cardiology (CinC), Atlanta, GA, USA (2023) pp. 1-4, doi: 10.22489/CinC.2023.406

The role of conventional and unconventional adaptive routes in lowering of intraocular pressure: theoretical model and simulation
R. Sacco, G. Chiaravalli, G. Antman, G. Guidoboni, A. Verticchio, B. Siesky, A. Harris
Physics of Fluids 35 (2023) 061902 – https://doi.org/10.1063/5.0151091

Cardiovascular sex-differences: insights via physiology-based modeling and potential for noninvasive sensing via ballistocardiography
M. Zaid, L. Sala, L. Despins, D. Heise, M. Popescu, M. Skubic, S. Ahmad, C.A. Emter, V.H. Huxley, G. Guidoboni
Frontiers in Cardiovascular Medicine, Volume 10 – 2023
Sec. Cardiovascular Biologics and Regenerative Medicine https://doi.org/10.3389/fcvm.2023.1215958

Heterogeneity of ocular hemodynamic biomarkers among open angle glaucoma patients of African and European Descent
B. Siesky, A. Harris, A. Verticchio Vercellin, J. Arciero, B. Fry, G. Eckert, G. Guidoboni, F. Oddone, G. Antman
Journal of Clinical Medicine (2023) 12(4):1287 – https://doi.org/10.3390/jcm12041287

Physiology-enhanced data analytics to evaluate the effect of altitude on intraocular pressure and ocular hemodynamics
A.C. Verticchio Vercellin, A. Harris, A. Belamkar, R. Zukerman, L. Carichino, M. Szopos, B. Siesky, L. Quaranta, C. Bruttini, F. Oddone, G. Guidoboni
Photonics 9(3) (2022) 158 – https://doi.org/10.3390/photonics9030158

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
L. Bociu, G. Guidoboni, D. Prada, R. Sacco
Journal of Computational Physics 466 (2022) 111379 – https://doi.org/10.1016/j.jcp.2022.111379

Mechanism-driven modeling to aid noninvasive monitoring of cardiac function via ballistocardiography
M. Zaid, L. Sala, J.R. Ivey, D.L. Tharp, C.M. Mueller, P.K. Thorne, S.C. Kelly, K.A. Santos Silva, A.R. Amin, P. Ruiz-Lozano, M.S. Kapiloff, L. Despins, M. Popescu, J. Keller, M. Skubic, S. Ahmad, C. Emter, G. Guidoboni
Frontiers in Medical Technology 4 (2022) Article 788264 – https://doi.org/10.3389/fmedt.2022.788264

Combining physiology-based modeling and evolutionary algorithms for personalized, non-invasive cardiovascular assessment based on electrocardiography and ballistocardiography
N.M. Marazzi, G. Guidoboni, M. Zaid, L. Sala, S. Ahmad, L. Despins, M. Popescu, M. Skubic, J. Keller
Frontiers in Physiology 12 (2022) Article 739035 – https://doi.org/10.3389/fphys.2021.739035

A multiscale/multiphysics model for the theoretical study of the vascular configuration of retinal capillary plexuses based on OCTA data
G. Chiaravalli, G. Guidoboni, R. Sacco, J. Radell, A. Harris
Mathematical Medicine & Biology: A Journal of the IMA 39(1) (2022) 77–104 – https://doi.org/10.1093/imammb/dqab018

Fluid and protein exchange in microvascular networks: Importance of modelling heterogeneity in geometrical and biophysical properties
G. Guidoboni, N.M. Marazzi, J. Fraser, R. Sacco, K. Palaniappan, V.H. Huxley
Journal of Physiology 599(20) (2021) 4597-4624 – https://doi.org/10.1113/JP281841

Physics-based modeling of Age-related Macular Degeneration – A theoretical approach to quantify retinal and choroidal contributions to macular oxygenation
A.C. Verticchio Vercellin, A. Harris, G. Chiaravalli, R. Sacco, BA Siesky, T. Ciulla, G. Guidoboni
Mathematical Biosciences 339 (2021) 108650 – https://doi.org/10.1016/j.mbs.2021.108650

A stabilized dual mixed hybrid finite element method with Lagrange multipliers for three-dimensional problems with internal interfaces
R. Sacco, A.G. Mauri, G. Guidoboni
Journal of Scientific Computing 82 (2020) Article number: 60 – https://doi.org/10.1007/s10915-020-01163-7

A theoretical approach for the electrochemical characterization of ciliary epithelium
R. Sacco, G. Guidoboni, J.W. Jerome, G. Bonifazi, N.M. Marazzi, A.C. Verticchio Vercellin,
M.S. Lang, A. Harris
Life (Basel) 10(2) (2020) 8 – https://doi.org/10.3390/life10020008

Using sensor signals in the early detection of heart failure: A case study
L.A. Despins, G. Guidoboni, M. Skubic, L. Sala, M. Enayati, M. Popescu, C.B. Deroche
Journal of Gerontological Nursing 46(7) (2020) 41-46 – https://doi.org/10.3928/00989134-20200605-07

Biofluid modeling of the coupled eye-brain system and insights into simulated microgravity conditions
F. Salerni, R. Repetto, A. Harris, P. Pinsky, C. Prud’homme, M. Szopos, G. Guidoboni
PLoS One 14(8) (2019) e0216012 – https://doi.org/10.1371/journal.pone.0216012

On the role of compressibility in poroviscoelastic models
L. Bociu, G. Guidoboni, R. Sacco, M. Verri
Mathematical Biosciences and Engineering 16(5) (2019) 6167-6208 – https://doi.org/10.3934/mbe.2019308

Waveform parameters of retrobulbar vessels in glaucoma patients with different demographics and disease severity
L. Carichino, A.C. Verticchio-Vercellin, S. Lapin, G. Guidoboni,
S. Cassani, G. Milano, A. De Silvestri, C. Tinelli, B. Siesky, A. Harris
European Journal of Ophthalmology 30(5) (2020) 1019-1027 – https://doi.org/10.1177/1120672119848259

Cardiovascular function and ballistocardiogram: a relationship interpreted via mathematical modeling
G. Guidoboni, L. Sala, M. Enayati, R. Sacco, M. Szopos, J. Keller, M. Popescu, L. Despins, V. Huxley, M. Skubic
IEEE Transactions on Biomedical Engineering 66(10) (2019) 2906-2917 – https://doi.org/10.1109/TBME.2019.2897952

From species diffusion to poroelasticity and the modelling of lamina cribrosa
A. Tatone, F. Recrosi, R. Repetto, G. Guidoboni
Journal of the Mechanics and Physics of Solids 124 (2019) 849-870 – https://doi.org/10.1016/j.jmps.2018.11.017

Monitoring the relative blood pressure using a hydraulic bed sensor system
B.Y. Su, M. Enayati, K.C. Ho, M. Skubic, L. Despins, J. Keller, M. Popescu, G. Guidoboni, M. Rantz
IEEE Transactions on Biomedical Engineering 66(3) (2019) 740-748 – https://doi.org/10.1109/TBME.2018.2855639

A theoretical study of aqueous humor secretion based on a continuum model coupling
electrochemical and fluid-dynamical transmembrane mechanisms
L. Sala, A.G. Mauri, R. Sacco, D. Messenio, G. Guidoboni, A. Harris
Communications in Applied Mathematics and Computational Science 14(1) (2019) 65-103 – https://doi.org/10.2140/camcos.2019.14.65

Ocular mathematical virtual simulator: a hemodynamical and biomechanical study towards clinical applications
L. Sala, C. Prud’homme, G. Guidoboni, M. Szopos
Journal of Coupled Systems and Multiscale Dynamics 6(3) (2018) 241-247 – https://doi.org/10.1166/jcsmd.2018.1165

The role of structural viscoelasticity in deformable porous media with incompressible
constituents: applications in biomechanics
M. Verri, G. Guidoboni, L. Bociu, R. Sacco
Mathematical Biosciences and Engineering 15(4) (2018) 933-959 – https://doi.org/10.3934/mbe.2018042

Sensitivity analysis in poro-elastic and poro-visco-elastic models
T. Banks, K. Bekele-Maxwell, L. Bociu, M. Noorman, G. Guidoboni
Quarterly of Applied Mathematics 75 (2017) 697-735 – https://doi.org/10.1090/qam/1475

Analysis of nonlinear poro-elastic and poro-visco-elastic models
L. Bociu, G. Guidoboni, R. Sacco, J.T. Webster
Archive for Rational Mechanics and Analysis 222(3) (2016) 1445-15195 – https://doi.org/10.1007/s00205-016-1024-9

A theoretical investigation of the increase in venous oxygen saturation levels in advanced
glaucoma patients
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
Journal for Modeling in Ophthalmology 1(1) (2016) 64-87 – https://doi.org/10.35119/maio.v1i1.12

Effect of ocular shape and vascular geometry on retinal hemodynamics: a computational
model
A. Dziubek, G. Guidoboni, A. Harris, A.H. Hirani, E. Rusjan, W. Thistleton
Biomechanics and Modeling in Mechanobiology 15(4) (2016) 893-907 – https://doi.org/10.1007/s10237-015-0731-8

Blood flow mechanics and oxygen transport and delivery in the retinal microcirculation:
multiscale mathematical modeling and numerical simulation
P. Causin, G. Guidoboni, F. Malgaroli, R. Sacco, A. Harris
Biomechanics and Modeling in Mechanobiology 15(3) (2016) 525-542 – https://doi.org/10.1007/s10237-015-0708-7

A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head
P. Causin, G. Guidoboni, A. Harris, D. Prada, R. Sacco, S. Terragni
Mathematical Biosciences 257 (2014) 33-41 – https://doi.org/10.1016/j.mbs.2014.08.002

Intraocular pressure, blood pressure and retinal blood flow autoregulation: a mathematical model to clarify their relationship and clinical relevance
G. Guidoboni, A. Harris, S. Cassani, J. Arciero, B. Siesky, A. Amireskandari, L. Tobe, P. Egan, I. Januleviciene, J. Park
Investigative Ophthalmology and Visual Science 55(7) (2014) 4105-4118 – https://doi.org/10.1167/iovs.13-13611

Effect of intraocular pressure on the hemodynamics of the central retinal artery: a mathematical model
G. Guidoboni, A. Harris, L. Carichino, Y. Arieli, B.A. Siesky
Mathematical Biosciences and Engineering 11(3) (2014) 523-546 – https://doi.org/10.3934/mbe.2014.11.523

Theoretical analysis of vascular regulatory mechanisms contributing to retinal blood flow
autoregulation
J. Arciero, A. Harris, B. Siesky, A. Amireskandari, V. Gershuny, A. Pickrell, G. Guidoboni
Investigative Ophthalmology and Visual Science 54(8) (2013) 5584-93 – https://doi.org/10.1167/iovs.12-11543

Continuous dependence on initial data in fluid-structure motions
G. Guidoboni, M.Guidorzi, M. Padula
Journal of Mathematical Fluid Mechanics 14(1) (2012) 1-32 – https://doi.org/10.1007/s00021-010-0031-0

Validation of a computational fluid dynamics model to study the assessment and severity
of mitral regurgitation
A. Quaini, S. Canic, G. Guidoboni, R. Glowinski, S. Igo, C. Hartley, W. Zoghbi, S. Little
Cardiovascular Engineering and Technology 2(2) (2011) 77-89

A positivity preserving ALE Finite Element scheme for convection-diffusion equations
in moving domains
O. Boiarkine, D. Kuzmin, S. Canic. G. Guidoboni, A. Mikelic
Journal of Computational Physics 230(8) (2011) 2896-2914 – https://doi.org/10.1016/j.jcp.2010.12.042

Existence of a unique solution to a nonlinear moving-boundary problem of mixed type
arising in modeling blood flow
S. Canic, A. Mikelic, T.B. Kim, G. Guidoboni
IMA Volumes in Mathematics and its Applications 153 (2011) 235-256, Springer, New York – https://doi.org/10.1007/978-1-4419-9554-4_11

Existence and uniqueness of a solution to a three-dimensional axially symmetric Biot
problem arising in modeling blood flow
T. Kim, S. Canic, G. Guidoboni
Communications on Pure and Applied Analysis 9(4) (2010) 839-865 – https://doi.org/10.3934/cpaa.2010.9.839

Qualitative properties of the solutions to Bingham flow type problems: on the geometry
of their support and their stabilization for large time
J. I. Diaz, G. Guidoboni, T. Kim, R. Glowinski
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 04(1) (2010) 157-200 – https://doi.org/10.5052/RACSAM.2010.13

Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic
Journal of Computational Physics 228(18) (2009) 6916-6937 – https://doi.org/10.1016/j.jcp.2009.06.007

On the preconditioned conjugate gradient solution of a Stokes problem with Robin-type
boundary conditions
R. Glowinski, G. Guidoboni
Comptes Rendus Mathématique 347(15-16) (2009) 903-908 – https://doi.org/10.1016/j.crma.2009.05.014

A kinematically coupled time-splitting scheme for the fluid-structure interaction in blood
flow
G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic, S. Lapin
Applied Mathematics Letters 22 (2009) 684-688 – https://doi.org/10.1016/j.aml.2008.05.006

Operator Splitting for the numerical solution of free surface flow at low capillary numbers
G. Guidoboni, R. Glowinski, M. Pasquali
Journal of Computational and Applied Mathematics 232(1) (2009) 72-81 – https://doi.org/10.1016/j.cam.2008.10.051

Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical
approach
R. Glowinski, G. Guidoboni
Journal of Mathematical Fluid Mechanics 10 (2008) 434- 454 – https://doi.org/10.1007/s00021-006-0239-1

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
R. Glowinski, E.J. Dean, G. Guidoboni, H.L. Juarez, T.-W. Pan
Japan Journal of Industrial and Applied Mathematics 25 (2008) 1-63 – https://doi.org/10.1007/BF03167512

Fluid-structure interaction in a pre-stressed tube with thick elastic walls I: the stationary
Stokes problem
A. Mikelic, G. Guidoboni, S. Canic
Networks & Heterogeneous Media 2(3) (2007) 397-423 – https://doi.org/10.3934/nhm.2007.2.397

Pattern selection for Faraday waves in an incompressible viscous fluid
A. C. Skeldon, G. Guidoboni
SIAM Journal on Applied Mathematics 67(4) (2007) 1064-1100 – https://doi.org/10.1137/050639223

Modeling viscoelastic behaviour of arterial walls and their interaction with pulsatile blood
flow
S. Canic, J. Tambaca, G. Guidoboni, A. Mikelic, C.J. Hartley, D. Rosenstrauch
SIAM Journal on Applied Mathematics 67(1) (2006) 164-193 – https://doi.org/10.1137/060651562

Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics and
experimental validation
S. Canic, C.J. Hartley, D. Rosenstrauch, J. Tambaca, G. Guidoboni, A. Mikelic
Annals of Biomedical Engineering 34(4) (2006) 575-592 – https://doi.org/10.1137/060651562

Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
R. Glowinski, G. Guidoboni, T-W. Pan
Journal of Computational Physics 216(1) (2006) 76-91 – https://doi.org/10.1016/j.jcp.2005.11.021

On the nonlinear stability of Marangoni-Benard problem with free surface in the Boussinesq approximation
G. Guidoboni, B.J. Jin
Mathematical Models and Methods in Applied Sciences 1(15) (2005) 1-22 – https://doi.org/10.1142/S0218202505003873

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Editorials

Precision medicine and glaucoma management: how mathematical modeling and artificial intelligence help in clinical practice
G. Guidoboni, R. Nunez, J. Keller, C. Wikle, E.L. Robinson, A. Verticchio, B. Siesky, F. Oddone, L. Quaranta, B. Wirostko, F. Topouzis, C.-Y. Cheng, I. Januleviciene, A. Wegner, G. Antman, C. Jones, A. Harris
Expert Review of Ophthalmology (17)5 (2022) 299-301 – https://doi.org/10.1080/17469899.2022.2130249

Academia or Industry. . . Why Not Both?
G. Guidoboni
SIAM News, October 2022

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

La modellistica matematica può suggerire nuovi approcci terapeutici per la cura del glau- coma ad angolo aperto (Italian)
G. Guidoboni, R. Sacco
Oftalmologia Domani N. 2 Anno 2016, pp 31-33

Medici, matematici, ingegneri, fisici e biologi: un’alleanza interdisciplinare contro il glau- coma (Italian)
G. Guidoboni, R. Sacco
Oftalmologia Domani N. 1 Anno 2016, pp 35-38

Multiphysics/multiscale modeling and applications of coupled processes in biological and nanotechnological systems
G. Guidoboni, R. Sacco
Journal of Coupled Systems and Multiscale Dynamics 3(1) (2015) 1-4

Diabetes: a risk factor for glaucoma?
S. Primus, A. Harris, BA Siesky, G. Guidoboni
British Journal of Ophthalmology 95(12) (2011) 1621-1622

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Patents

1- Model-Based Sensor Technology for Detection of Cardiovascular Status.
Inventor: G. Guidoboni. Authors: G. Guidoboni, L. Sala. Assignee: The Curators of the University of Missouri. PCT Patent Application No.: PCT/US2019/052738. Filed on 09/24/2019. Published on 04/02/2020

Claiming priority over

Cardiovascular function and ballistocardiogram.
Inventor: G. Guidoboni. Authors: G. Guidoboni, L. Sala. Assignee: The Curators of the University of Missouri. US Provisional Patent App. No. 62/735,716. Filed on 09/24/2018

2- Methods and systems for patient specific identification and assessment of ocular disease risk factors and treatment efficacy.
Inventors: A. Harris, G. Guidoboni. Assignee: Indiana University Research and Technology Corporation. US Patent App. No 15/575,730. Published on 10/11/2018

Claiming priority over

Methods and systems for patient specific identification and assessment of ocular disease risk factors.
Inventors: A. Harris, G. Guidoboni. Assignee: Indiana University Research and Technology Corporation. US Provisional Patent Application No. 62/165,304. Filed on 05/22/2015