Papers in International Journals

• Guerra, Telma; Marín-Gayte, Irene; Tiago, Jorge (2024)  An optimal boundary control problem related to the time dependent Navier-Stokes equations . ZAMM - Journal of Applied Mathematics and Mechanics: Subm..

• Anwar, M. Adnan; Tiago, Jorge (2024)  Time-dependent strategy for improving aortic blood flow simulations with boundary control and data assimilation . Applied Mathematics and Computation: Volume 493, 15, 129266.

• Nogueira, Pedro M.; Silvestre, Ana Leonor; Tiago, Jorge (2024)  Steady Navier–Stokes Equations with Regularized Directional Do-Nothing Boundary Condition: Optimal Boundary Control for a Velocity Tracking Problem . Applied Mathematics and Optimization: 10.1007/s00245-024-10216-4.

• El Khatib, N.; Kafi, Oualid; Oliveira, D.; Sequeira, Adélia; Tiago, Jorge (2023)  A numerical 3D fluid-structure interaction model for blood flow in a MRI-based atherosclerotic artery . Math. Model. Nat. Phenom.: 18, art. 26.

• Oliveira, D.; Laranjo, S. ; Tiago, Jorge; Pinto, F.; Sequeira, Adélia (2020)  NUMERICAL SIMULATION OF DILATION PATTERNS OF THE ASCENDING AORTA IN AORTOPATHIES . Journal of Mechanics in Medicine and Biology, 1950068.

• Apura, João; Tiago, Jorge; Moura, Alexandra; Lourenço, José Artur ; Sequeira, Adélia (2019)  The effect of ventricular volume increase on the amplitude of intercranial pressure . Computer Methods in Biomechanics and Biomedical Engineering.

• Ardakani, V.; Tu, X.; Gambaruto, A. M.; Velho, Iolanda; Tiago, Jorge; Sequeira, Adélia; Pereira, Ricardo Henriques (2019)  Near-Wall Flow in Cerebral Aneurysms . Fluids: 4(2), 89.

• Sellountos, Euripides; Sequeira, Adélia; Tiago, Jorge (2019)  Meshless velocity - vorticity Local Boundary Integral Equation (LBIE) method for two dimensional incompressible Navier-Stokes equations. . International Journal of Numerical Methods for Heat and Fluid Flow: Vol 29, is 11, pages 4034-4073.

• Oliveira, Diana; Aguiar-Rosa, Sílvia; Tiago, Jorge; Ferreira, Rui Cruz; Agapito, Ana Figueiredo; Sequeira, Adélia (2019)  Bicuspid aortic valve aortopathies: An hemodynamics characterization in dilated aortas . Computer Methods in Biomechanics and Biomedical Engineering.

• Guerra, Telma; Catarino, C.; Mestre, T.; Santos, S.; Tiago, Jorge; Sequeira, Adélia (2018)  A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries . Applied Mathematics and Computation: 321: 176-194, https://doi.org/10.1016/j.amc..

• Apura, J.; Tiago, Jorge; Sequeira, Adélia; Rosário, Luís Brás (2018)  Numerical modeling of cardiovascular physiology. Study of dynamic changes during autonomic reflexes . Springer Nature Singapore Pte Ltd., IFMBE Proceedings: 65, 278-281.

• Tiago, Jorge; Guerra, Telma; Sequeira, Adélia (2017)  A velocity tracking approach for the data assimilation problem in blood flow simulations . International Journal of Numerical Methods in Biomedical Engineering, (in press).

• Kafi, Oualid; El Khatib, N.; Tiago, Jorge; Sequeira, Adélia (2017)  Numerical Simulations of a 3D Fluid-Structure Interaction Model for Blood Flow in an Atherosclerotic Artery . Mathematical Biosciences and Engineering: 14, 179-193.

• Javad Hatami; Ferreira, F. C.; Silva, C. L.; Tiago, Jorge; Sequeira, Adélia (2016)  Computational Modelling of Megakaryocytic Differentiation of Umbilical Cord Blood-Derived Stem/Progenitor Cells . Computers & Chemical Engineering: 94, 117-127.

• Javad Hatami; Tiago, Jorge; Sequeira, Adélia (2016)  Computational modeling of megakaryocytic differentiation of umbilical cord blood-derived stem/progenitor cells . Computers and Chemical Engineering: 94, 117-127.

• Silva, Telma; Sequeira, Adélia; Santos, Rafael F.; Tiago, Jorge (2016)  Existence, uniqueness, stability and asymptotic behaviour of solutions for a mathematical model of atherosclerosis . Discrete and Continuous Dynamical Systems: Series S 9, Issue1, 343 - 362.

• Jantarada, Ana; Gambaruto, A. M.; Tiago, Jorge; Sequeira, Adélia (2016)  Computational advances applied to medical image processing: an update . Open Acess Bioinformatics (Dove Medical Press): 8, 1-15.

• Tiago, Jorge (2015)  Numerical simulations for the stabilization and estimation problem of a semilinear partial differential equation . Applied Numerical Mathematics: 98, 18-37.

• Buchot, J.M.; Raymond, J.P.; Tiago, Jorge (2015)  Coupling estimation and control for a two dimensional Burgers type equation . ESAIM-COCV: Vol. 21, Number 2, 535-560.

• Tiago, Jorge; Gambaruto, A. M.; Sequeira, Adélia (2014)  Patient-specific blood flow simulations: setting Dirichlet boundary conditions for minimal error with respect to measured data . Mathematical Models of Natural Phenomena: 9(6), 98-116.

• Guerra, Telma; Tiago, Jorge; Sequeira, Adélia (2014)  Optimal Control in Blood Flow Simulations . International Journal of Non-Linear Mechanics: 64, 57-69.

• Guerra, Telma; Tiago, Jorge; Sequeira, Adélia (2014)  On the optimal control of a class of non-Newtonian fluids . Annali dell’Universita di Ferrara: 60(1), 133-147.

• Silva, Telma; Sequeira, Adélia; Santos, Rafael F.; Tiago, Jorge (2013)  Mathematical modeling of atherosclerotic plaque formation coupled with a non-Newtonian model of blood flow . Conference Papers in Mathematics: 2013, 405914.

• Periago, Francisco; Tiago, Jorge (2010)  A Local Existence Result for an Optimal Control Problem Modeling the Manoeuvring of an Underwater Vehicle . Nonlinear Analysis-Real World Applications: 11(4), 2573-2583.

• Pedregal, Pablo; Tiago, Jorge (2009)  Existence Results for Optimal Control Problems with Some Special Nonlinear Dependence on State and Control . SIAM Journal on Control and Optimization: 48(2), 415-437.

• Pedregal, P.; Tiago, Jorge (2007)  New Existence Result for Autonomous One-Dimensional Optimal Control Problems . Journal of Optimization Theory and Applications: 134(2), 241-255.

Papers or Chapters in Edited Books

• Velho, Iolanda; Tiago, Jorge; Pereira, Ricardo Henriques; Sequeira, Adélia (2024)  Combined Numerical/Experimental Analysis for Intracranial Aneurysms in a Computational Hemodynamics Patient-Specific Framework . CIM Series in Mathematical Sciences Nonlinear Differential Equations and Applications, Springer, 301-332.

• Sequeira, Adélia; Tiago, Jorge; Guerra, Telma (2018)  Boundary Control Problems in Hemodynamics . Trends in Biomathematics: Modeling, Optimization and Computational Problems, Selected works from the BIOMAT Consortium Lectures, Moscow 2017, Springer International Publishing, 27-48.

• Silva, Telma; Tiago, Jorge; Sequeira, Adélia (2016)  Mathematical analysis and numerical simulations for a model of atherosclerosis . Mathematical Fluid Dynamics, Present and Future, Springer Proceedings in Mathematics & Statistics, 577-595.

Communications in Conference Proceedings

• Velho, Iolanda; Tiago, Jorge; Gambaruto, A. M.; Sequeira, Adélia; Pereira, Ricardo Henriques (2020)  CFD Analysis for the Evaluation of Patient-Specific Hemodynamic Parameters in Cerebral Aneurysms . IFMBE Proceedings Springer, 1353-1360.

• Aguiar Rosa, S; Oliveira, D; Galrinho, A; Branco, L; Tiago, Jorge; Agapito, A; Sousa, L; Oliveira, J; Timoteo, A; Sequeira, Adélia; Figueiredo, L; Cruz Ferreira, R (2017)  Aortic flow and shear stress in bicuspid aortic valve, a multimodality approach . European Heart Journal - Cardiovascular Imaging: suppl_3, iii106–iii109.

• Guerra, Telma; Tiago, Jorge (2014)  Improving Blood Flow Simulations Using Know Data . Proceedings of the Comsol Conference, September 17-19, Cambridge, UK.

• Guerra, Telma; Tiago, Jorge; Sequeira, Adélia (2013)  Towards a data assimilation method for blood circulation . Proceedings of the 13th International Conference of Computational and Mathematical Methods in Science and Engineering (CMMSE), Almeria.

• Pedregal, Pablo; Tiago, Jorge (2009)  Existence Results for Optimal Control Problems with Some Special Non-Linear Dependence on State and Control . Proceedings of the 48th IEEE Conference on Decision and Control, 1212-1217.

Thesis

• Tiago, Jorge (2010)  Existence results and applications for some non-linear optimal control problems . FCUL.

Papers in National Scientific Journals

• Guerra, Telma; Tiago, Jorge (2016)  Aplicação de problemas de controlo a uma estenose idealizada . Boletim da Sociedade Portuguesa de Matemática, Special Issue, May, 9-12.

• Silva, Telma; Sequeira, Adélia; Santos, Rafael F.; Tiago, Jorge (2015)  Existence of optimal boundary control for Navier-Stokes with mixed boundary conditions . Portugaliae Mathematica: Volume 72, Issue 2-3, 267–283.

• Guerra, Telma; Sequeira, Adélia; Tiago, Jorge (2015)  Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions . 

• Garcia, J.; Ovalle, D.M.; Periago, F.; Tiago, Jorge (2010)  Una herramienta de simulación numérica para el análisis de la capacidad de maniobrabilidad de un submarino . SeMA Journal: 52(1), 129-142.

Supervision of PhD theses 

• Optimization techniques to deal with missing data in blood flow modelling. Kaleem Iqbal, PhD Math, IST, Ongoing.

• Study of cerebral aneurysms through experimental bio-markers and computational hemodynamics. PhD Comp Eng 2019. Co-supervised with Adélia Sequeira (IST).

 Supervision of master theses 

• Enhancing the numerical approximation of parametrized optimal control problems through proper orthogonal decomposition and artificial neural networks, Carlo Venturini, Joint MMA Degree IST-Ulisboa & Poltitecnico di Milano, 2024. Co-supervised with Andrea Manzoni (Pol Milano).
• Dirichlet Boundary Control of the Poisson Equation with Mixed Boundary Conditions, Dinis Rocha, MMA, IST-ULisboa. 2024. Co-Supervisor J.P. Raymond (IMToulouse).
• Development of a Mathematical Model for the Left Ventricle to Analyze Stiffness Variations During the Cardiac Cycle, Marco Borra Giacasso, MBiom, Politecnico di Torino, 2024. Co-supervisor Dr. Luis B. Rosário (FMUL). 
• Multiple Boundary Control of Elliptic Problems, Joana M. Ribeiro, MMA, IST-ULisboa. 2024. Co-supervisor Irene M. Gayte (U Loyola Sevilla).
• Applying PINN's for the reconstruction of blood flow from patient-specific data, João Pereira, MECD, IST-ULisboa. 2023 Co-supervisor: Duarte Albuquerque (IST).
• Optimal boundary control of the time-dependent Stokes equations with mixed boundary conditions, Pedro Nogueira, MMA, IST-ULisboa. 2021.
• Using medical data to adjust flow boundary conditions in computational hemodynamics, Madalena Dias, MEBiom, IST-ULisboa. 2021. Co-supervised with Dr Silvia A. Rosa (CHLC).
• Computational analysis of aortic hemodynamics -comparison of outflow modelling strategies, Laura Sumares, MEBiom, IST-ULisboa. 2019. Co-supervised with Dr Sérgio Laranjo (CHLC).
• Geometric analysis of intracoronary pressure curves Marta Alves, MEBiom, IST-ULisboa. 2019. Co-supervised with Dr. David Alves (HESE).
• Numerical simulations of atherosclerotic plaque growth using experimental data, Carolina Brites, MEBiom, IST-ULisboa. 2018. Co-supervised with Ana S. Herdade (IMM).
• A numerical approximation for the Navier-Stokes equations using the Finite Element Method, João Marques, MMA, IST-ULisboa, 2016.
• Numerical Simulation of Dilatation Patterns of the Ascending Aorta in Aortopathies, Diana Oliveira, MEBiom, IST-ULisboa, 2016. Co-supervised with Adélia Sequeira (IST).
• Analysis of hemodynamic indicators in Bicuspid Aortic Valves using a computational mathematical model Ana Torrado, MEBiom IST-ULisboa, 2015. Co-supervised with Adélia Sequeira (IST).