Publications:




Book Chapters:

2 - A. Sequeira, J. Tiago, T. Guerra, Boundary Control Problems in Hemodynamics, Trends in Biomathematics: Modeling, Optimization and Computational Problems, editor: Ruben P. Mondaini, Springer International Publishing, Moscow, 2018.
ISBN: 978-3-319-91092-5. DOI:10.1007/978-3-319-91092-5.


1 - A. Sequeira, T. Silva, J. Tiago, Mathematical analysis and numerical simulations for a model of atherosclerosis, Mathematical Fluid Dynamics, Present and Future, editor(s): Yoshihiro Shibata and Yukhihito Suzuki, Springer Proceedings in Mathematics & Statistics, 2016.
ISBN: 978-4-431-56457-3. DOI:10.1007/978-4-431-56457-7.



Preprints:

22 - F. Bozorgnia, J. Tiago, Optimal Control of the Two-phase Obstacle Problem, in preparation.


21 - I. Marin-Gayte, T. Guerra, J. Tiago, An optimal boundary control problem related to the Navier-Stokes equations in dimension 2 and 3, in preparation.



Publications in Peer-Reviewed Journals:

21 - D. Oliveira, S. Laranjo, J. Tiago, F. Pinto, A. Sequeira, Numerical modeling of blood flow in the ascending Aorta in Aorthopaties, JMMBio. (2020). DOI: 10.1142/S0219519419500684 .

20 - V. Ardakani, X. Tu, A. Gambaruto, I. Velho, J. Tiago, A. Sequeira, R. Pereira, Near-wall flow in cerebral aneurysms, Fluids (MDPI), Vol. 4(2), pp.89(-116), (2019) https://doi.org/10.3390/fluids4020089.

19 - D. Oliveira, S. Aguiar Rosa, J. Tiago, R. Ferreira, A. Figueiredo Agapito, A. Sequeira, Bicuspid aortic valve aortopathies: an hemodynamics characterization in dilated aortas, Computer Methods in Biomechanics and Biomedical Engineering, (2019) https://doi.org/10.1080/10255842.2019.1597860.

18 - E. Sellountos, A. Sequeira, J. Tiago, Meshless velocity-vorticity local boundary integral equation (LBIE) method for high Reynolds Navier-Stokes problems, International Journal of Numerical Methods for Heat and Fluid Flow.
DOI: 10.1108/HFF-06-2018-0310 (preprint)

17 - J. Apura, J. Tiago, A. Moura, J.A. Lourenço, A. Sequeira, The effect of ventricular volume increase on the amplitude of intercranial pressure, Computer Methods in Biomechanics and Biomedical Engineering (2019). DOI: 10.1080/10255842.2019.1587413.

16 - T. Guerra, C. Catarino, T. Mestre, S. Santos, J. Tiago, A. Sequeira, A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries, Applied Mathematics and Computation. Vol. 321, pp. 176-194 (2018). (DOI)

15 - J. Tiago, T. Guerra, A. Sequeira, A velocity tracking approach for the Data Assimilation problem in blood flow simulations, International Journal for Numerical Methods in Biomedical Engineering. Vol. 33 (10), e2856, (2017). (DOI)

14 - O. Kafi, N. El Khatib, J. Tiago, A. Sequeira, Numerical simulations of a 3D fluid-structure interaction model for blood flow in an atherosclerotic artery, Mathematical Biosciences and Engineering, Mathematical Biosciences and Engineering, Vol. 14, 1, pp. 179-193 (2017). (DOI)

13 - J. Hatami, F. C. Ferreira, C. L. da Silva, J. Tiago, A. Sequeira,  Computational Modeling Of Megakaryocytic Differentiation Of Umbilical Cord Blood-Derived Stem/Progenitor Cells, Computers & Chemical Engineering, Computers & Chemical Engineering Vol. 94, pp. 117-127 (2016). (DOI)

12 - (WOS) T. Silva, A. Sequeira, R. Santos, J. Tiago, Existence, uniqueness, stability and asymptotic behavior of solutions for a mathematical model of atherosclerosis, Discrete and Continuous Dynamical Systems - Series S, Vol. 9, no. 1, pp. 343-362 (2016). (Link)

11 - A. João, A. Gambaruto, J. Tiago, A. Sequeira ,  Computational advances applied to medical image processing: an update, Open Access Bioinformatics, Volume 2016:8 (2016) pp. 1-15, (DOI)

10 - (WOS) J. Tiago,  Numerical simulations for the stabilization and estimation problem of a semilinear partial differential equation, Appl. Numer. Math., Vol. 98, pp. 18-37 (2015). (DOI)

9 - (WOS) T. Guerra,  A. Sequeira, J. Tiago, Existence of optimal boundary control for Navier-Stokes with mixed boundary conditions, Port. Math., Vol. 72,  2,  pp. 267-283 (2015). (arxiv)

8 - (WOS) J.P. Raymond,  J.M. Buchot, J. Tiago, Coupling estimation and control for a two dimensional Burgers type equation, ESAIM - COCV, Vol. 21, Number 2, pp. 535-560 (2015).  (preprint.pdf)

7 - (WOS) J. Tiago, A. Gambaruto, A. Sequeira, Patient-specific blood flow simulations: setting Dirichlet boundary conditions for minimal error with respect to measured data, Mathematical Models in Natural Phenomena, Vol.9, Iss. 6, pp. 98-116 (2014). (preprint.pdf)

6 - (WOS) T.Guerra,  A. Sequeira, J. Tiago, Optimal control in blood flow simulations, International Journal of Non-Linear Mechanics, Vol. 64, pp. 57-59 (2014). (DOI)

5 - (SCOPUS) T. Guerra,  A. Sequeira, J. Tiago, On the optimal control of a class of non-Newtonian Fluids, Annali dell'Universita di Ferrara, Vol. 60, Iss. 1, pp. 133-147 (2014). (preprint.pdf)

4 - T. Silva, A. Sequeira, R. Santos, J. Tiago, Mathematical Modeling of Atherosclerotic Plaque Formation Coupled with a Non-Newtonian Model of Blood Flow, Conference Papers in Mathematics, vol. 2013, AID 405914 (2013). DOI:10.1155/2013/405914. (preprint.pdf)

3 - (WOS) F. Periago, J. Tiago, A local existence result for an optimal control problem modeling the manoeuvering of an underwater vehicle, Nonlinear Analysis: Real World Applications. Vol. 11. Iss. 4, pp. 2573-2583 (2010). (preprint.pdf)

2 - (WOS) P. Pedregal, J. Tiago, Existence results for optimal control problems with some special nonlinear dependence on state and control, SIAM J. Control Optim., Vol. 48, Iss. 2, pp. 415-437  (2009). (preprint.pdf)

1 - (WOS) P. Pedregal, J. Tiago, A new existence result for autonomous non convex one-dimension optimal control problems, J. Optimiz. Theory App., 134 (2007), pp. 241-255. (DOI)



Conference Papers and other Publications:

5 - J. Apura, J. Tiago, A. Sequeira, L. B. Rosário, Numerical modeling of cardiovascular physiology study of dynamic changes during autonomic reflexes, IFMBE Proceedings, 2017 (link)

4 - T. Guerra, J. Tiago,  Improving blood flow simulations using known data, Comsol Conference 2014. September, 17-19, (2014), Cambridge, UK. (link)

3 - T.Guerra,  A. Sequeira, J. Tiago, Towards a data assimilation method for blood flow circulation, Proceedings of the 2013 International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2013), Almeria, Spain, June, 24-27, (2013), Vol. III, pp. 807-812. ISBN: 978-84-616-2723-3.(link)

2 - J. García, D.M. Ovalle, F. Periago, J. Tiago, Una herramienta de simulación numérica para el análisis de la capacidad de maniobrabilidad de un submarino, Boletín SEMA, N. 52, pp.129-142 (2010).(link)

1 - (WOS) P. Pedregal, J. Tiago, Existence results for optimal control problems with some special nonlinear dependence on state and control (Short Version), Proceedings of the IEEE Conference on Decision and Control (2009).(preprint.pdf)