# Giovanna Guidoboni Ph.D.

Associate Professor, Mathematical Sciences

Adjunct Professor of Ophthalmology

Co-Director, School of Science Institute of Mathematical Modeling & Computational Science

I am an Associate Professor in the Department of Mathematical Sciences of IUPUI (Indiana University and Purdue University at Indianapolis), Adjunct Professor in the Department of Ophthalmology (Indiana University School of Medicine), and Acting Co-Director of the School of Science Institute of Mathematical Modeling and Computational Science (iM2CS).

I have a MSc in Engineering of Materials and a PhD in Mathematics from the University of Ferrara (Italy). My area of research is Applied Mathematics and I am particularly interested in mathematical and computational modeling of complex fluid flows arising in engineering and bio-medical applications.

Currently, I am focusing on an interdisciplinary project on the modeling of ocular blood flow. The goal of this project is to investigate the bio-mechanical connections between vascular function and optic nerve damage, in order to gain a better understanding of the risk factors that may be responsible for glaucoma onset and progression. News release http://science.iupui.edu/news/treating-disease-numbers

## Teaching Assignments

## Spring 2012:

### Vector Calculus - Math 51000

Course Meeting Times and Place: Mon-Wed 9:00 am - 10:15am, SL 148

Syllabus, course material and more can be found in Oncourse

### Introduction to Biomathematics - Math 59800

Course Meeting Times and Place: Wed 11:00 am - 11:50am, LD 165

Syllabus, course material and more can be found in Oncourse

## New Class for Fall 2012:

### Numerical Analysis - Math 51400

Course Meeting Times: Tu-Th 3:00 pm - 4:15pm

## Current Research

The main focus of my research is on the mathematical and computational modeling of fluid flow in deformable domains. This includes **fluid-structure interactions**, such as the interaction between blood flow and vascular tissue in the cardiovascular system, and **free capillary surface flows**, such as coating flows.

Currently, I am working on the mathematical modeling of ocular blood flow in collaboration with Dr. Alon Harris (Ophthalmology, Indiana University School of Medicine). You can read the news release on this project here.

My research has been supported by the National Science Foundation, the Indiana University Collaborative Research Grant program of the Office of the Vice President for Research, the Department of Mathematics of IUPUI, the Texas Education Board Advanced Research Program, the Fulbright, the Institute for Biomedical Imaging Sciences (IBIS) at the University of Houston, and the Department of Mathematics of the University of Houston.

## Select Publications

**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*. Mathematical Biosciences and Engineering. Accepted for publication (August 2013).**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*. Review Article. J. Coupled Syst. Multiscale Dyn. Accepted for publication (April 2013).

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. Arciero, A. Amireskandari, L.A. Tobe, B.A. Siesky, Ocular Hemodynamics and Glaucoma: The Role of Mathematical Modeling. Review Article. 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. pdf

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. Validation of a Computational Fluid Dynamics Model to Study the Assessment and Severity of Mitral Regurgitation. 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 Domains*. J. Comput. Phys. 230 (2011) 2896-2914.

**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. pdf **

**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.

## Awards & Honors

**NSF-DMS **1224195**.** Mathematical Biology, 2012-2015

Mathematical Modeling of Ocular Mechanics, Circulation and Oxygenation and their Relation to Glaucoma

G. Guidoboni (PI), CoPI: J. Arciero (IUPUI), Collaborator: A. Harris (Ophthalmology, Indiana University School of Medicine)

** INDIANA UNIVERSITY COLLABORATIVE RESEARCH GRANT (IUCRG) **2011-2012

*Mathematical modeling of ocular blood flow and its relation to glaucoma*

G. Guidoboni (PI), CoPI: A. Harris (Ophthalmology, Indiana University School of Medicine)

**NSF-DMS 0811138.** Computational Mathematics, 2008-2011

*Collaborative Research: Efficient solvers for free boundary flows of complex fluids *

G. Guidoboni (PI), CoPIs: R. Glowinski (U. of Houston), M. Pasquali (Rice U.)

Finalist for the **UH Teaching Excellence Award 2009**.

** IBIS 2008 Seed Grant.** Institute for Biomedical Imaging Sciences, 2008-2009

*Mitral Valve: 3D-Image sequence analysis and mechanical modeling * R. Azencott (U. of Houston) (PI), CoPIs: S. Canic, R. Glowinski, G. Guidoboni (U. of Houston), W. Zoghbi, S. Little (The Methodist Hospital)

** ARP 003652-0051-2006. ** Texas Education Board Advanced Research Program - Mathematics, 2006-2008

* Mathematical Models for cardiovascular stenting *

S. Canic (PI), G. Guidoboni (CoPI)

** Summer Research Grant 2006. ** Department of Mathematics, University of Houston

* Operator splitting for the numerical simularion of fluid flow in deformable domains with application to blood flow*

G. Guidoboni (Single PI)

**Fulbright Research Scholarship** University of Houston (USA), February-July 2004

* Numerical Algorithms for the simulation of the flow of incompressible viscous fluids in deformable domains *

G. Guidoboni (Single PI)

** Marie Curie Training Fellowship ** University of Surrey (UK), April-July 2003

* Pattern selection in Faraday waves*

G. Guidoboni (PI)

** Fondo Giovani Ricercatori ** University of Ferrara (Italy), 2002-2003

* Mathematical Models in Mathematical Physics *

G. Guidoboni (PI), E. Piras (CoPI), B. J. Jin (CoPI)

### Travel Awards

**USACM Travel Award **

8th World Congress on Computational Mechanics. June 30 - July 4, 2008, Venice, Italy.

** Institute for Mathematics and its Applications **

IMA New Directions Short Course: Biophysical Fluid Dynamics. June 19-30, 2006, Minneapolis, USA.

** US Junior Oberwolfach Fellows **

Oberwolfach workshop - ID 0544.

Reactive Flow and Transport Through Complex Systems, October 30 - November 5, 2005, Oberwolfach, Germany.

** Institute for Mathematics and its Applications **

IMA Workshop Career Options for Women in Mathematical Sciences. February 4-5, 2005, Minneapolis, USA.

- phone: (317) 274-6936
- office: LD 270E
- e-mail: gguidobo@math.iupui.edu

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