Results

• M. Anwar, J. Tiago.
  Time-dependent strategy for improving aortic blood flow simulations with boundary control and data assimilation.
  Applied Mathematics and Computation, Vol. 493, 129266, 2025.
  URL
  
  

• P. M. Nogueira, A. L. Silvestre, J. Tiago.
  Steady Navier–Stokes Equations with Regularized Directional Do-Nothing Boundary Condition: Optimal Boundary Control for a Velocity Tracking Problem.
  Applied Mathematics & Optimization, 91, 24, 2025.
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• L. B. Elvas, S. Gomes, J. C. Ferreira, et al.
  Deep learning for automatic calcium detection in echocardiography.
  BioData Mining, 17, 27, 2024.
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• I. Velho, J. Tiago, R. Pereira, A. Sequeira.
  Combined Numerical/Experimental Analysis for Intracranial Aneurysms in a Computational Hemodynamics Patient-Specific Framework.
  In: Nonlinear Differential Equations and Applications, CIM Series in Mathematical Sciences, pp. 301–332, Springer, 2024.
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• P. M. Nogueira, A. L. Silvestre.
  Navier–Stokes Equations with Regularized Directional Boundary Condition.
  In: Nonlinear Differential Equations and Applications, edited by H. Beirão da Veiga, F. Minhós, N. Van Goethem, and L. Sanchez Rodrigues, Springer, 2024, pp. 197–220.
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• L. B. Elvas, P. Águas, J. C. Ferreira, J. P. Oliveira, M. S. Dias, L. B. Rosário.
  AI-Based Aortic Stenosis Classification in MRI Scans.
  Electronics, 12(23), 4835, 2023.
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• N. El Khatib, O. Kafi, D. Oliveira, A. Sequeira, J. Tiago.
  A Numerical 3D Fluid-Structure Interaction Model for Blood Flow in a MRI-Based Atherosclerotic Artery.
  Mathematical Modelling of Natural Phenomena, 2023.
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• P. M. Nogueira, A. L. Silvestre.
  Semismooth Newton Method for the Navier-Stokes Equations with Directional Do-Nothing Boundary Condition.
  In: A. Sequeira, A. Silvestre, S. S. Valtchev, J. Janela (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2, Lecture Notes in Computational Science and Engineering, Vol. 154, Springer, 2025.
  URL
  
  

• T. Burghardt, A. M. Gambaruto.
  RBF-PINN: Non-Fourier Positional Embedding in Physics-Informed Neural Networks.
  ICLR 2024 Workshop on AI4DifferentialEquations, 2024.
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• I. Gayte-Delgado, I. Marín-Gayte.
  Multiobjective Optimal Control Problems. Stationary Navier–Stokes Equations.
  Optimization, 74(5), 1217–1246, 2024.
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• F. Martins, E. Fragoso, H. Plácido da Silva, M. S. Dias, L. B. Rosário.
  Validation of an mHealth System for Monitoring Fundamental Physiological Parameters in the Clinical Setting.
  Sensors, 24, 5164, 2024.
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• M. N. Supelnic, A. F. Ferreira, P. J. Bota, L. Brás-Rosário, H. Plácido da Silva.
  Benchmarking of Sensor Configurations and Measurement Sites for Out-of-the-Lab Photoplethysmography.
  Sensors, 24(1), 214, 2023.
  URL
  
  

• O. Napoli, A. M. Almeida, J. M. Dias, L. Rosário, et al.
  Efficient Knowledge Aggregation Methods for Weightless Neural Networks.
  European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN), Bruges, 2023.
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• T. Bodnár, A. Sequeira.
  Analysis of the Shear-Thinning Viscosity Behavior of the Johnson–Segalman Viscoelastic Fluids.
  Fluids, 7, 36, 2022.
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• V. G. Ardakani, A. Gambaruto, G. Silva, R. Pereira.
  A Porosity Model for Medical Image Segmentation of Vessels.
  International Journal of Numerical Methods in Biomedical Engineering, 2022, e3580.
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• C. J. S. Alves, N. F. M. Martins, A. L. Silvestre.
  Numerical Methods with Particular Solutions for Nonhomogeneous Stokes and Brinkman Systems.
  Advances in Computational Mathematics, 48, 44, 2022.
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• T. Bodnár, A. Sequeira.
  Simulations of Johnson-Segalman Viscoelastic Fluids Flows in Shear-Thinning Regime.
  Journal of Physics: Conference Series, 2367(1), 012028, 2022.
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• A. S. Silvestre.
  The Fundamental Solution of the Steady 2D Generalized Oseen Equations.
  Applied Mathematics Letters, 124, 107613, 2022.
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• L. B. Elvas, A. G. Almeida, L. Rosário, M. S. Dias, J. C. Ferreira.
  Calcium Identification and Scoring Based on Echocardiography: An Exploratory Study on Aortic Valve Stenosis.
  Journal of Personalized Medicine, 11, 598, 2021.
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• A. Sequeira, A. Silvestre, S. S. Valtchev, J. Janela (Eds.)
  Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1.
  Lecture Notes in Computational Science and Engineering, Vol. 154, Springer, Cham, 2024.
  URL
  
  

• A. Sequeira, A. Silvestre, S. S. Valtchev, J. Janela (Eds.)
  Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2.
  Lecture Notes in Computational Science and Engineering, Vol. 154, Springer, Cham, 2024.
  URL
  
  

• I. Marín-Gayte, T. Guerra, J. Tiago.
  An optimal boundary control problem related to the time-dependent Navier-Stokes equations.
  URL
  
  

• C. Zeng, T. Burghardt, A. M. Gambaruto.
  Training dynamics in Physics-Informed Neural Networks with feature mapping.
  URL
  
  

• N. Quintino, J. Tiago.
  Opytimal – A Python/FEniCS framework to solve PDE-based optimal control problems considering multiple controls in 2D and 3D domains.
  Published on Research Square.
  URL
  
  

• A. Sequeira, J. Tiago, A. Anwar.
  Modeling Vascular Flows: From Blood Rheology to Data Assimilation.
  Preprint.
  [PDF Available]
  
  

• A. Anwar, J. Tiago, L. Rosário, A. Hernandez.
  Estimating Coronary Flow using Variational Data Assimilation.
  Preprint.
  [PDF Available]
  
  

Kaleem Iqbal
PhD in Mathematics, IST, ULisboa
Topic: Optimization techniques to deal with missing data in blood flow modelling
Supervisor: J. Tiago

Pedro Nogueira
PhD in Mathematics, IST, ULisboa
Topic: A Control Problem Involving Newtonian and Non-Newtonian Fluids with Directional Do-Nothing Boundary Conditions
Supervisor: A.L. Silvestre

2024

• M. B. Costa
  Evaluation of the Magnetic Susceptibility in Cardiac Tissues using MRI: Quantitative Susceptibility Mapping for the Quantification of Heart Valve Calcification using a Calcium Phantom
  Supervisors: L. Rosário, Rita Nunes
  Link
  
  

• D. Rocha
  Dirichlet Boundary Control of the Poisson Equation with Mixed Boundary Conditions, MMA, IST-ULisboa
  Supervisors: J. Tiago, J.P. Raymond (IMToulouse)
  Link
  
  

• C. Venturini
  Enhancing the Numerical Approximation of Parametrized Optimal Control Problems through Proper Orthogonal Decomposition and Artificial Neural Networks
  Joint MMA Degree IST-ULisboa & Politecnico di Milano
  Supervisors: J. Tiago, Andrea Manzoni (PoliMi)
  Link
  
  

• M. B. Giacasso
  Development of a Mathematical Model for the Left Ventricle to Analyze Stiffness Variations During the Cardiac Cycle, MBiom, Politecnico di Torino
  Supervisors: J. Tiago, L. B. Rosário
  Link
  
  

• J. M. Ribeiro
  Multiple Boundary Control of Elliptic Problems, MMA, IST-ULisboa
  Supervisors: J. Tiago, Irene M. Gayte
  Link
  
  

2023

• A. Neto
  Fully Automatic Assessment for Left Ventricle Image Segmentation and Feature Extraction, MIG, ISCTE-IUL
  Supervisors: J. P. Oliveira, L. Rosário
  Link
  
  

• J. Pereira
  Applying PINNs for the Reconstruction of Blood Flow from Patient-Specific Data, MECD, IST-ULisboa
  Supervisors: J. Tiago, D. Alburquerque, A. Gambaruto
  Link
  
  

2021

• P. Nogueira
  Optimal Boundary Control of the Time-Dependent Stokes Equations with Mixed Boundary Conditions, MMA, IST-ULisboa.  Supervisor: J. Tiago

Link