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)