Paula Cristiana Costa Garcia da Silva Patrício (071C-8C63-2FAD)

Curriculum Vitae

Paula Cristiana Costa Garcia da Silva Patrício

Paula Cristiana Costa Garcia da Silva Patrício is an Associate Professor in the Department of Mathematics at NOVA FCT, Universidade Nova de Lisboa. She obtained her Ph.D. in Mathematics from Universidade de Lisboa in 2009, with a thesis on tuberculosis modelling. Her research focuses on differential equations and mathematical models for infectious diseases, with special emphasis on integrating human behaviour into epidemic models. She has applied these approaches to study disease control strategies, including vaccination, non-pharmaceutical interventions, and behavioural responses. Paula is Co-PI of the project Mathematical Modelling of Multi-scale Control Systems: applications to human diseases (2023–2026) and was PI of Game theory and epidemiology (2014–2016). She was a researcher in the national COVID-19 modelling project COVID-19 in-CTRL (2020–2022). She has supervised Ph.D. and M.Sc. theses on advanced epidemiological modelling, including models with distributed contacts and reaction-diffusion structures. Paula regularly teaches mathematical epidemiology and participates in the organization of scientific events in biomathematics. She is an active member of ESMTB and the Portuguese Mathematical Society.

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Identification

Personal identification

Full name: Paula Cristiana Costa Garcia da Silva Patrício
Date of birth: 1974/04/18
Gender: Female

Citation names

Patrício, Paula
Rodrigues, Paula

Author identifiers

Ciência ID: 071C-8C63-2FAD
ORCID iD: 0000-0001-6766-4336
Researcher Id: C-5055-2016
Scopus Author Id: 57219543956

Knowledge fields

Exact Sciences - Mathematics

Languages

Language	Speaking	Reading	Writing	Listening	Peer-review
English	Upper intermediate (B2)	Advanced (C1)	Upper intermediate (B2)	Advanced (C1)
French	Intermediate (B1)	Intermediate (B1)	Intermediate (B1)	Intermediate (B1)

Education

	Degree	Classification
2009 Concluded	Matemática (Doutoramento) Universidade de Lisboa Faculdade de Ciências, Portugal "Modelling tuberculosis: a compromise between biological realism and mathematical tractability" (THESIS/DISSERTATION)	Distinção e Louvor
2000 Concluded	Matemática (Doutoramento) Universidade de Lisboa Faculdade de Ciências, Portugal "Métodos Variacionais para o Operador Bilaplaciano" (THESIS/DISSERTATION)	Muito Bom
1996 Concluded	Matemática (Licenciatura) Universidade de Lisboa Faculdade de Ciências, Portugal "n/a" (THESIS/DISSERTATION)	14

Affiliation

Teaching in Higher Education

	Category Host institution	Employer
2021/07/13 - Current	Associate Professor (University Teacher)	Universidade Nova de Lisboa Departamento de Matemática, Portugal
	Universidade Nova de Lisboa Departamento de Matemática, Portugal
2009/10/14 - 2021/07/13	Assistant Professor (University Teacher)	Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal

2001/02/15 - 2009/10/14	Assistant (University Teacher)	Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal

2000/02/14 - 2001/02/15	Trainee Assistant (University Teacher)	Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal

1998 - 2000	Assistant (Polytechnic Teacher)	Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal

Others

	Category Host institution	Employer
2004/09/01 - 2009/10/14	Programa de Doutoramento - PDIGC	Instituto Gulbenkian de Ciência, Portugal

Projects

Contract

	Designation	Funders
2023/03/01 - 2026/02/28	Modelação Matemática de Sistemas de Controlo em Multi-escala: aplicações a doenças humanas 2022.03091.PTDC 10.54499/2022.03091.PTDC Co-Principal Investigator (Co-PI) Universidade de Aveiro, Portugal Universidade do Minho, Portugal Associação para a Inovação e Desenvolvimento da FCT, Portugal	Fundação para a Ciência e a Tecnologia Ongoing
2020/07 - 2021/11	Projeção do impacte das medidas não-farmacológicas de controlo e mitigação da epidemia de COVID-19 em tempo real (COVID-19 in-CTRL) Projeto nº 692 Researcher Instituto Nacional de Saúde Doutor Ricardo Jorge IP Departamento de Doenças Infeciosas, Portugal	Fundação para a Ciência e a Tecnologia, I.P.
2014/03 - 2015/06	Game theory and epidemiology Provided by PTCRIS: 133817 Principal investigator	Fundação para a Ciência e a Tecnologia, I.P.
2008/09 - 2012/03	Molecular epidemiology of Mycobacterium tuberculosis in Portugal: Implementing and analysing a database Provided by PTCRIS: 71208 Researcher	Fundação para a Ciência e a Tecnologia,
2007/01 - 2008/07	Differential Equations and Applications to Epidemiology Provided by PTCRIS: 82197	Fundação para a Ciência e a Tecnologia, I.P.
2005/04 - 2007/03	Differential Equations and Applications to Epidemiology Provided by PTCRIS: 57258	Fundação para a Ciência e a Tecnologia,
2005/01 - 2006/12	Reinfection thresholds and the management of recurrent infections Provided by PTCRIS: 58528	Fundação para a Ciência e a Tecnologia, I.P.

Outputs

Publications

Conference paper	Rodrigues, P.; Silva, C.J.; Torres, D.F.M.. "Optimal control strategies for reducing the number of active infected individuals with tuberculosis". 2013. Patrício, Paula. "Multi-scale models for drug resistant tuberculosis". Paper presented in 2012 International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE, Murcia, 2012. Patrício, Paula. "On a fourth order super-linear elliptic problem". Paper presented in USA-Chili Workshop on Nonlinear Analysis, 2001. Published
Journal article	Fabio A.C.C. Chalub; Paulo Doutor; Paula Patrício; Maria do Céu Soares. "Social vs. individual age-dependent costs of imperfect vaccination". Mathematical Biosciences (2024): https://doi.org/10.1016/j.mbs.2024.109259. 10.1016/j.mbs.2024.109259 Caetano, Constantino; Morgado, Maria Luísa; Patrício, Paula; Leite, Andreia; Machado, Ausenda; Torres, André; Pereira, João Freitas; et al. "Measuring the impact of COVID-19 vaccination and immunity waning: A modelling study for Portugal". Vaccine 40 49 (2022): 7115-7121. http://dx.doi.org/10.1016/j.vaccine.2022.10.007. 10.1016/j.vaccine.2022.10.007 Machado, B.; Antunes, L.; Caetano, C.; Pereira, J.F.; Nunes, B.; Patrício, P.; Morgado, M.L.. "The impact of vaccination on the evolution of COVID-19 in Portugal". Mathematical Biosciences and Engineering 19 1 (2022): 936-952. http://www.scopus.com/inward/record.url?eid=2-s2.0-85119985928&partnerID=MN8TOARS. 10.3934/mbe.2022043 Manuel L. Esquível; Nadezhda P. Krasii; Gracinda R. Guerreiro; Paula Patrício. "The Multi-Compartment SI(RD) Model with Regime Switching: An Application to COVID-19 Pandemic". Symmetry (2021): https://doi.org/10.3390/sym13122427. 10.3390/sym13122427 Constantino Caetano; Maria Luisa Morgado; Paula Patrício; João F. Pereira; Baltazar Nunes. "Mathematical Modelling of the Impact of Non-Pharmacological Strategies to Control the COVID-19 Epidemic in Portugal". Mathematics (2021): https://www.mdpi.com/2227-7390/9/10/1084. 10.3390/math9101084 Patrício, Paula. "From ODE to Open Markov Chains, via SDE: an application to models for infections in individuals and populations". Computational and Mathematical Biophysics 8 1 (2020): 180-197. http://dx.doi.org/10.1515/cmb-2020-0110. 10.1515/cmb-2020-0110 Doutor, P.; Rodrigues, P.; Soares, M.D.C.; Chalub, F.A.C.C.. "Optimal vaccination strategies and rational behaviour in seasonal epidemics". Journal of Mathematical Biology (2016): 1-29. http://www.scopus.com/inward/record.url?eid=2-s2.0-84962757569&partnerID=MN8TOARS. 10.1007/s00285-016-0997-1 Pinho, S.T.R.; Rodrigues, P.; Andrade, R.F.S.; Serra, H.; Lopes, J.S.; Gomes, M.G.M.. "Impact of tuberculosis treatment length and adherence under different transmission intensities". Theoretical Population Biology 104 (2015): 68-77. http://www.scopus.com/inward/record.url?eid=2-s2.0-84939550643&partnerID=MN8TOARS. 10.1016/j.tpb.2015.06.004 Rodrigues, P.; Silva, C.J.; Torres, D.F.M.. "Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis". Bulletin of Mathematical Biology 76 10 (2014): 2627-2645. http://www.scopus.com/inward/record.url?eid=2-s2.0-84919398031&partnerID=MN8TOARS. 10.1007/s11538-014-0028-6 Lopes, J.S.; Rodrigues, P.; Pinho, S.T.R.; Andrade, R.F.S.; Duarte, R.; Gomes, M.G.M.. "Interpreting measures of tuberculosis transmission: A case study on the Portuguese population". BMC Infectious Diseases 14 1 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84902301751&partnerID=MN8TOARS. 10.1186/1471-2334-14-340 Gomes, M.G.; Aguas, R.; Lopes, J.S.; Nunes, M.C.; Rebelo, C.; Rodrigues, P.; Struchiner, C.J.. "How host heterogeneity governs tuberculosis reinfection?". Proceedings. Biological sciences / The Royal Society 279 1737 (2012): 2473-2478. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865612754&partnerID=MN8TOARS. 10.1098/rspb.2011.2712 Rodrigues, P.; Margheri, A.; Rebelo, C.; Gomes, M.G.M.. "Heterogeneity in susceptibility to infection can explain high reinfection rates". Journal of Theoretical Biology 259 2 (2009): 280-290. http://www.scopus.com/inward/record.url?eid=2-s2.0-67349185841&partnerID=MN8TOARS. 10.1016/j.jtbi.2009.03.013 Rodrigues, P.; Gomes, M.G.M.; Rebelo, C.. "Drug resistance in tuberculosis-a reinfection model". Theoretical Population Biology 71 2 (2007): 196-212. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846596636&partnerID=MN8TOARS. 10.1016/j.tpb.2006.10.004 Gabriela M. Gomes, M.; Rodrigues, P.; Hilker, F.M.; Mantilla-Beniers, N.B.; Muehlen, M.; Cristina Paulo, A.; Medley, G.F.. "Implications of partial immunity on the prospects for tuberculosis control by post-exposure interventions". Journal of Theoretical Biology 248 4 (2007): 608-617. http://www.scopus.com/inward/record.url?eid=2-s2.0-34548708009&partnerID=MN8TOARS. 10.1016/j.jtbi.2007.06.005
Thesis / Dissertation	Patrício, Paula. "Modeling tuberculosis: a compromise between biological realism and mathematical tractability.". PhD, Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, 2009. Patrício, Paula. "Métodos Variacionais para o operador bilaplaciano (Variational Methods for the Bilaplatian Operator". Master, Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, 2001.

Activities

Oral presentation

	Presentation title	Event name Host (Event location)
2023/05/25	Mathematics driven by epidemics	1st SDE - Stochastic Days Encounters: Applications of Stochastic Differential Equations Instituto Superior de Economia e Gestão, Universidade de Lisboa (Lisboa, Portugal)
2023/02/06	Measuring the impact of COVID-19 vaccination and immunity waning: a modelling study for Portugal	14th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2023 Basque Center for Applied Mathematics (BCAM) (Bilbao, Spain)
2022/12/12	Measuring the impact of COVID-19 vaccination and immunity waning: a modelling study for Portugal	Meeting of the Spanish Royal Society of Mathematics and the Argentinian Mathematical Union (Ronda, Spain)
2022/02	MODELLING COVID-19 IN PORTUGAL	Virtual 13th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2022 Mathematical and Theoretical Biology Group (MTB) at the Basque Center for Applied Mathematics in Bilbao, Basque Country, Spain (Spain)
2021	Impact of vaccination on COVID-19 transmission in Portugal	21th International Conference Computational and Mathematical Methods in Science and Egineering (Spain)
2019/02	A model for HIV infection at individual and population level	Tenth Conference ’Dynamical system applied to biology and natural sciences’ University of Napoli Federico II (Nápoles)
2018/07	Rational behaviour vs. social interests in vaccination - two examples	2nd Portuguese Meeting in Biomathematics Universidade de Aveiro, Centro de Investigação e Desenvolvimento Matemática Aplicada (Aveiro, Portugal)
2016	Modeling tuberculosis transmission: the role of heterogeneity in susceptibility to infection	Seventh Workshop ’Dynamical system applied to biology and natural sciences’ Universidade de Évora (Évora, Portugal)

Supervision

	Thesis Title Role	Degree Subject (Type) Institution / Organization
2021 - Current	Epidemiological Models with distributed contacts Supervisor	Mathematics (PhD) Universidade Nova Centro de Matemática e Aplicações, Portugal
2021 - 2022	SEIRS REACTION-DIFFUSION MODEL - ANALYSIS AND APPLICATION Co-supervisor	Mestrado em Matemática e Aplicações (Master)

Event organisation

	Event name Type of event (Role)	Institution / Organization
2023/02/01 - 2023/02/09	14th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2023, organized by the Mathematical and Theoretical Biology Group (MTB) at the Basque Center for Applied Mathematics in Bilbao, Basque Country, Spain, February (2023/02/01 - 2023/02/09) Conference (Member of the Organising Committee)	Centro Vasco de Matemáticas Aplicadas, Spain
2016 - 2023	MatNova summer school, FCT NOVA. Anual summer school aimed at secondary school students who want to deepen their knowledge by working on some advanced topics. It lasts 5 days and culminates with the presentation of a project by the participants, developed based on a course taught by teachers from the Mathematics (2016 - 2023)
2022/02/08 - 2022/02/11	Virtual 13th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2022, organized by the Mathematical and Theoretical Biology Group (MTB) at the Basque Center for Applied Mathematics in Bilbao, Basque Country, Spain, February 8-11, 2022 https://sites.google.com/view/dsabns2022/home?authuser=0 (2022/02/08 - 2022/02/11) Conference (Member of the Organising Committee)	Centro Vasco de Matemáticas Aplicadas, Spain
2021/02/02 - 2021/02/05	VIRTUAL 12th Conference on Dynamical Systems Applied to Biology and Natural Sciences, DSABNS 2021, February 2-5, 2021. (2021/02/02 - 2021/02/05) Conference (Member of the Organising Committee)	Centro Vasco de Matemáticas Aplicadas, Spain
2020/02/04 - 2020/02/07	XI Conference ’Dynamical system applied to biology and natural sciences’ Università degli Studi di Trento February 4-7, 2020, Trento, Italy http://www.dsabns2020.maths.unitn.it/ (2020) Conference (Member of the Organising Committee)	Università degli Studi di Trento, Italy
2020 - 2020	III Portuguese Meeting in Biomathematics, NOVA FCT, 2020. This is a biennial event that seeks to bring together national researchers interested in biomathematics and, simultaneously, promote interaction between mathematicians who work on models from the field of biology, with other researchers in areas of biology and who use mathematics as a tool in their research. (2020 - 2020) Conference (Member of the Organising Committee)	Universidade Nova Centro de Matemática e Aplicações, Portugal
2018/11/21 - 2018/11/24	V IBERIAN MODELLING WEEK From 21st to 24th November 2018, the V Iberian Modelling Week (IMW) will take place at the Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa in Caparica campus. This edition is organized by the Portuguese Network of Mathematics for Industry and Innovation (PT-MATHS-IN). The V IMW brings together math MSc students with academic supervisors to work in teams on previously defined industrial projects. https://eventos.fct.unl.pt/5imw/ (2018/11/21 - 2018/11/24) Workshop (Member of the Scientific Committee)	Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal
2018/07/23 - 2018/07/27	11th European Conference on Mathematical and Theoretical Biology The European Conferences on Mathematical and Theoretical Biology (ECMTB) are the major scientific events in this field in Europe and one of the major events worldwide, attracting the participation not only of the European researchers, but also of researchers from all over the world. http://www.ecmtb2018.org/ (2018/07) Conference (Member of the Organising Committee)	Universidade de Lisboa Faculdade de Ciências, Portugal
2017/01/31 - 2017/02/03	Eighth Workshop ’Dynamical system applied to biology and natural sciences’ Universidade de Évora, Jan. 31 - Feb. 3, 2017 http://dsabns2017.rd.ciencias.ulisboa.pt/ (2017) Conference (Member of the Organising Committee)	Universidade de Lisboa Faculdade de Ciências, Portugal
2014/09/01 - 2014/09/04	Encontro de Professores de Matemática ProfNova, FCT NOVA, 2014. Este encontro é um convite aos professores de matemática, do ensino secundário, para conhecerem a FCT NOVA, o seu campus, a sua oferta educativa, as saídas profissionais e também as atividades desenvolvidas pelo Departamento de Matemática. Tem integrado um curso ou oficina de formação acreditada. (2014/09/01) (2014)
2011/06 - 2011/12	Exposição MATER, FCT NOVA, 2013/14 Exposição desenvolvida no âmbito da iniciativa internacional “Mathematics of Planet Earth 2013” (“Matemática no Planeta Terra 2013”). A exposição é constituída por cinco módulos: Tempo, Espaço, Arte, Vida e Quotidiano e esteve patente ao público no Campus da Caparica da FCT NOVA entre 9 de outubro de 2013 e 4 de junho de 2014, tendo sido visitada por mais de 2000 pessoas. Deu origem a uma exposição permanente no edifício VII do campus da FCT NOVA e a duas exposições itinerantes. (2013/01/01) (2012)

Jury of academic degree

	Topic Role	Candidate name (Type of degree) Institution / Organization
2022/11/02	"Transmission Dynamics and the Impact of Non-Pharmaceutical Interventions in the COVID-19 Epidemic in Portugal: A Modelling Study" Thesis Member	Márcia Maria Galrão Luís (Master) Universidade de Lisboa Faculdade de Medicina, Portugal
2022/01/10	Could a vaccine eradicate bovine tuberculosis in Portugal after 2025? (Thesis) Main arguer	Sara Navalho Novo Esteves (Master) Universidade Nova de Lisboa Escola Nacional de Saúde Pública, Portugal
2019/11/21	The relationship between the speed of spread of HIV in the population and the virus evolutionary rate (Thesis) Main arguer	Alexandre Coelho Silva (Master) Universidade de Lisboa Instituto Superior Técnico, Portugal
2017/07/19	Modelling Evolutionary Dynamics of bacterial infection under treatment (Thesis) Main arguer	Joana Alexandra Santos Teixeira (Master) Universidade de Lisboa Faculdade de Ciências, Portugal

Association member

	Society Organization name	Role
2019/10 - Current	European Society of Mathematical and Theoretical Biology (ESMTB)	Membro
2014/07/16 - Current	Sociedade Portuguesa de Matemática (SPM)	Secretário da Mesa da Assembleia Geral da Delegação Sul e Ilhas da SPM

Committee member

	Activity description Role	Institution / Organization
2020 - 2020	Member of the organizing committee of the III Portuguese Meeting in Biomathematics, NOVA FCT, 2020. This is a biennial event that seeks to bring together national researchers interested in biomathematics and, simultaneously, promote interaction between mathematicians who work on models from the field of biology, with other researchers in areas of biology and who use mathematics as a tool in their research. Coordinator
2019/10/18 - 2019/10/19	Member of the organizing committee of the I Workshop in BioMathematics, Aveiro, 2019. Joint initiative between the thematic line of Mathematical Biology at CMA/FCT/UNL and the thematic line in biomathematics at CIDMA/UA, which sought to create and develop synergies between the respective members Member
2018/11/21 - 2018/11/24	Member of the scientific committee of 5IMW, 5th Iberian Modeling Week, held at FCT NOVA from 21 to 24 November 2018. 5IMW brought together master's students in mathematics and academics to work in teams dedicated to previously defined industrially relevant themes. The theme proposed by the team in which I was part of was How dengue control can affect Zika-related mortality and morbidity Member

Course / Discipline taught

	Academic session	Degree Subject (Type)	Institution / Organization
2017/03 - Current	Modelos Matemáticos em Epidemiologia	Mestrado em Matemática Aplicada (Mestrado)	Universidade Nova de Lisboa Faculdade de Ciências e Tecnologia, Portugal

Mentoring / Tutoring

	Topic	Student name
2023/11/15 - Current	Behavioural epidemiological models	Ricardo castelhano
2022/01 - 2022/03	Mathematical models for infectious diseases	Abdussamet Cinar
2022/01 - 2022/03	Mathematical models for infectious diseases	Gizem Guzelce
2021/02 - 2021/03	Introdução aos Modelos Epidémicos	Teresa Pinto
2014 - 2014	Vaccination schemes in regions conecting sites with good and poor healthy systems	Tiago Costa