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Rafael Henriques holds a doctoral degree at the Centre for Mathematics of the University of Coimbra (CMUC) where the research work is carried out within the group of Numerical Analysis and Optimization. His research interests include mathematical modeling with partial differential equations, development of numerical methods for solving them and analysis of these methods. He also develops research on machine learning and numerical optimization algorithms to solve inverse problems where the estimation of model parameters/functions are the central issue. His work is based on real applications whose objective is to develop an optical coherence elastography technique for measuring in vivo the mechanical properties of the retina on animal models, with the purpose of detecting early signs of neurodegeneration.
Identification

Personal identification

Full name
Rafael Henriques

Citation names

  • Henriques, Rafael Oliveira
  • Rafael Henriques
  • R. Henriques

Author identifiers

Ciência ID
D012-7E25-C181
ORCID iD
0000-0003-4173-8469

Email addresses

  • rafael.henriques@mat.uc.pt (Professional)

Knowledge fields

  • Exact Sciences - Mathematics - Applied Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Upper intermediate (B2) Advanced (C1) Upper intermediate (B2) Advanced (C1)
Education
Degree Classification
2020/10 - 2025/01/06
Concluded
Programa Inter-Universitário de Doutoramento em Matemática (Doutoramento)
Universidade de Coimbra, Portugal
"Numerical methods for the robust reconstruction of elasticity" (THESIS/DISSERTATION)
Aprovado com Distinção e Louvor
2018/09 - 2020/07
Concluded
Matemática (Mestrado)
Major in Área de especialização: Estatística, Optimização e Matemática Financeira
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Mathematical model to reconstruct the mechanical properties of an elastic medium" (THESIS/DISSERTATION)
18 valores
2015/09 - 2018/07
Concluded
Matemática (Licenciatura)
Universidade de Coimbra, Portugal
16 valores
Projects

Grant

Designation Funders
2021/11/01 - 2024/11/01 PhD Student Fellow
2021.06672.BD
PhD Student Fellow
Fundação para a Ciência e a Tecnologia, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2020/09/01 - 2021/10/31 PhD Student Fellow
CMUC UIDP/00324/2020
PhD Student Fellow
Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/10 - 2020/07 ElastoOCT Elastografia de Coerência Óptica para imagiologia das propriedades mecânicas da retina, PTDC/EMD-EMD/32162/2017, MSc Research Fellow
ElastoOCT Elastografia de Coerência Óptica para imagiologia das propriedades mecânicas da retina, PTDC/EMD-EMD/32162/2017
Research Fellow
Universidade de Coimbra, Portugal
Universidade de Coimbra
Concluded
2019/04 - 2019/10 POCI-01-0145-FEDER-016426- "MobiWise: from Mobile Sensing to Mobility Advising"_551917, MSc Research Fellow
POCI-01-0145-FEDER-016426- "MobiWise: from Mobile Sensing to Mobility Advising"_551917
Research Fellow
Universidade de Coimbra, Portugal
Universidade de Coimbra
Concluded
Outputs

Publications

Conference paper
  1. Correia, Carlos; Batista, Ana; Barbeiro, Sílvia; Cardoso, João; Domingues, José P.; Henriques, Rafael; Loureiro, Custódio; et al. "Time-dependent elastic numerical model for Optical Coherence Elastography of the murine retina". 2023.
    10.1109/enbeng58165.2023.10175350
  2. Serranho, Pedro; Barbeiro, Sílvia; Henriques, Rafael; Batista, Ana; Santos, Mário; Correia, Carlos; Domingues, José; et al. "On the Numerical Solution of the Inverse Elastography Problem for Time-harmonic Excitation". Paper presented in 2nd International Conference on Image Processing and Vision Engineering, Prague, 2022.
    10.5220/0011125900003209
  3. Batista, Ana; Correia, Carlos; Barbeiro, Sílvia; Cardoso, João; Domingues, José; Henriques, Rafael; Loureiro, Custódio; et al. "Swept-source Phase-Stabilized Optical Coherence Tomography Setup for Elastography". Paper presented in 2nd International Conference on Image Processing and Vision Engineering, Prague, 2022.
    10.5220/0011126500003209
Conference poster
  1. Batista, Ana; José Paulo Domingues; Correia, Carlos; Barbeiro, Sílvia Alexandra Alves ; Cardoso, Joao; Jordão, João; Henriques, Rafael; et al. "Phase-resolved optical coherence elastography methods and instrumentation". Paper presented in 1st Annual meeting of CIBIT, 2022.
Journal article
  1. Barbeiro, Sílvia Alexandra Alves ; Henriques, Rafael; José Luis Esteves dos Santos. "The Derivative free trust-region method for the inverse elastography problem". Journal of Mathematics in Industry. Proceedings of the 22nd ECMI Conference on Industrial and Applied Mathematics, Springer (2024):
    Accepted
  2. Barbeiro, Sílvia; Henriques, Rafael; Santos, José Luis. "A quadratic optimization program for the inverse elastography problem". Journal of Mathematics in Industry 14 1 (2024): http://dx.doi.org/10.1186/s13362-024-00156-7.
    Published • 10.1186/s13362-024-00156-7
  3. Henriques, Rafael; Barbeiro, Sílvia Alexandra Alves. "Finite elements with neural networks for the inverse elastography problem". (2024):
    Submitted
Thesis / Dissertation
  1. "Numerical methods for the robust reconstruction of elasticity". PhD, Universidade de Coimbra, 2025.
  2. "Mathematical model to reconstruct the mechanical properties of an elastic medium". Master, Universidade de Coimbra Centro de Matemática, 2020. http://hdl.handle.net/10316/93596.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/06/10 Rafael Henriques participated and gave a talk entitled "The finite element method with neural networks to reconstruct the mechanical properties of an elastic medium" in Equadiff 2024, Karlstad University (Sweden), 6 June 2024. Equadiff 2024
(Karlstad, Sweden)
2023/12/01 Rafael Henriques participated and gave a talk entitled "The finite element method with neural networks to reconstruct the mechanical properties of an elastic medium" in the Artificial Intelligence for Computational Mechanics Workshop, a joint organization of A Coruña University (Spain), Bordeaux University (France) and Coimbra University (Portugal), which took place in Center for Technological Innovation in Building and Civil Engineering (CITEEC; A Coruña, Spain), 1 December 2023. ARTIFICIAL INTELLIGENCE FOR COMPUTATIONAL MECHANICS
(Coruña, Spain)
2023/09/04 Rafael Henriques gave a talk entitled "The finite element method with neural networks to reconstruct the mechanical properties of an elastic medium" in the ENUMATH 2023 Conference, September 4-8, Lisbon, Portugal. ENUMATH
(Lisbon, Portugal)
2023/06/26 Rafael Henriques participated and gave a talk entitled "The finite element method with neural networks to reconstruct the mechanical properties of an elastic medium" at the 22nd ECMI Conference on Industrial and Applied Mathematics at Wroclaw University of Science and Technology, Poland on June 26-30, 2023. ECMI
(Wroclaw, Poland)
2022/10/13 Rafael Henriques from CMUC, Department of Mathematics, University of Coimbra, Portugal, actively participated at the VIII Workshop on Computational Data Analysis and Numerical Methods (VIII WCDANM), held online (videoconference) in October 13-15, 2022, organized by the Polytechnic Institute of Tomar, Portugal, presenting at the session "Mathematical Models" the lecture entitled: Mathematical model to reconstruct the mechanical properties of an elastic medium, a joint work with José Santos and Sílvia Barbeiro. VIII Workshop on Computational Data Analysis and Numerical Methods 2022
(Tomar, Portugal)

Event participation

Activity description
Type of event
Event name
Institution / Organization
2020/07/17 - Current ECMI Blog
Other
Mathematical model to reconstruct the mechanical properties of an elastic medium
2020/01/17 - Current Rafael Henriques presented the oral communication entitled "Numerical modeling of elastic waves in frequency domain" at the ElastoOCT Workshop that took place at the Physics Department of the University of Coimbra on 17 Jan 2020.
Workshop
Numerical modeling of elastic waves in frequency domain
Universidade de Coimbra Departamento de Física, Portugal
2024/07/11 - 2024/07/17 Rafael Henriques has attended the 14th Lisbon Machine Learning School – LxMLS 2024, jointly organized by Instituto Superior Técnico, Instituto de Telecomunicações, INESC-ID and Unbabel, in Lisbon, Portugal, on July 11th-17th, 2024.
Conference
14th Lisbon Machine Learning School – LxMLS 2024
Universidade de Lisboa Instituto Superior Técnico, Portugal
2023/07/17 - 2023/07/21 Rafael Henriques has attended the IX Iberian Modelling Week held in Palma, Mallorca (Spain), 17th-21-th July 2023. In addiction, he has participated in the working group that studied the problem "Development of an algorithm for automatic segmentation and guidance of cryoablation intervention for desmoid tumors".
Workshop
IX Iberian Modelling Week
Universitat de les Illes Balears, Spain
2022/10/13 - 2022/10/15 Rafael Henriques from CMUC, Department of Mathematics, University of Coimbra, Portugal, actively participated at the VIII Workshop on Computational Data Analysis and Numerical Methods (VIII WCDANM), held online (videoconference) in October 13-15, 2022, organized by the Polytechnic Institute of Tomar, Portugal, in the course coordinated by Padhu Seshaiyer and Mr. Alonso Gabriel Ogueda, Department of Mathematical Sciences, College of Science, George Mason University, USA (6 hours) entitled: Foundations of Neural Computing and Applications.
Workshop
VIII Workshop on Computational Data Analysis and Numerical Methods (VIII WCDANM)
Instituto Politécnico de Tomar, Portugal
2022/07/25 - 2022/07/29 The Organization Committee of the VIII Iberian Modelling Week, held in Coimbra, Portugal, from July 25th to July 29th 2022, certifies that, Rafael Henriques from University of Coimbra has participated as a coordinator of the problem entitled "Managing Seats at Communal Table".
Workshop
VIII Iberian Modelling Week
Universidade de Coimbra Centro de Matemática, Portugal
2022/04/13 - 2022/04/14 Rafael Henriques from CMUC, Department of Mathematics, University of Coimbra, Portugal, actively participated at Lisbon Young Mathematicians Conference (LYMC2022), in April 13-14, 2022, organized by Faculdade de Ciências, Universidade de Lisboa, Portugal, presenting the lecture entitled: Mathematical model to reconstruct the mechanical properties of an elastic medium.
Conference
Lisbon Young Mathematicians Conference
Universidade Nova de Lisboa, Portugal

Universidade Aberta, Portugal

ISEG Lisbon School of Economics and Management, Portugal

Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Instituto Superior Técnico, Portugal