[ABE-L] COLMEA - 31 de janeiro - IM-UFRJ

Maria Eulalia Vares eulalia em im.ufrj.br
Sex Jan 19 11:49:02 -03 2024


Prezados colegas,



O *COLMEA - Colóquio Interinstitucional Modelos Estocásticos e Aplicações *-
terá mais um encontro no próximo dia 31 de janeiro de 2024, a partir das
14:00h, no IM-UFRJ. Será o primeiro encontro deste novo ano e aproveitamos
para desejar a todos um muito feliz 2024.  Nesta ocasião teremos as
palestras dos Professores Helcio Orlande (Programa de Engenharia Matemática
- COPPE/UFRJ) e Béla Bollobás (University of Cambridge e University of
Memphis)




*Programa:*



*14:00 - 15:20  Helcio Orlande (PEM COPPE/UFRJ)*



*State estimation and predictive control applied to the treatment of the
hypoxic-ischemic encephalopathy in neonates*


*15:40 - 17:00  Béla Bollobás (Univ. of Cambridge and Univ. of Memphis)*

*Sum-set problems and results -- Old and new*

*17:00 - Discussão e lanche*

Informações mais completas sobre o COLMEA podem ser encontradas aqui:
http://www.im.ufrj.br/~coloquiomea/

Todos são muito bem-vindos. Agradecemos também pela divulgação em suas
instituições. Resumos das palestras no final da mensagem.

Atenciosamente,

O comitê organizador:
Americo Cunha (UERJ)
Evaldo M.F. Curado (CBPF)
João Batista M. Pereira (UFRJ)
Leandro P. R. Pimentel (UFRJ)
Maria Eulalia Vares (UFRJ)
Nuno Crokidakis (UFF)
Roberto I. Oliveira (IMPA)
Simon Griffiths (PUC-Rio)
Yuri F. Saporito (FGV-EMAp)




*State estimation and predictive control applied to the treatment of the
hypoxic-ischemic encephalopathy in neonates *
Helcio R. B. Orlande (Programa de Engenharia Mecânica, COPPE-UFRJ)

The hypoxic-ischemic encephalopathy in neonates is a neurological disorder
characterized by the lack of oxygen (hypoxia) and low blood flow
(ischemia), often related to perinatal asphyxia due to complications during
birth. The main treatment for hypoxic-ischemic encephalopathy in neonates
is the cooling of affected regions. Systemic cooling can be achieved by
wrapping the body of the neonate with a blanket containing channels through
which cold water is circulated. Alternatively, local cooling can be
performed by surrounding the head of the neonate with a cap, in which cold
water flows through channels, while the remaining body can be warmed by a
radiator in the incubator. This seminar summarizes the works recently
performed by the authors on the solution of inverse problems and predictive
control related to the hypothermia treatment of the hypoxic-ischemic
encephalopathy in neonates. The inverse problem involved the estimation of
the brain temperature from the information provided by other temperature
measurements available during the treatment. The inverse problem was solved
as a state estimation problem with the Sampling Importance Resampling (SIR)
algorithm of the particle filter method. The solution of the inverse
problem was verified with simulated measurements, and ultimately validated
with actual experimental data obtained during the local cooling treatment
of a neonate in a pediatric intensive care unit. The combined application
of the particle filter method and stochastic model predictive control was
also numerically examined, in order to observe and control the body
temperatures during the cooling treatment of a neonate.



*Sum-set problems and results -- Old and new*
Béla Bollobás (University of Cambridge and University of Memphis)

Sums of subsets of R^n, Z^n and Z_p^n have been studied for well over a
century, although at the beginning progress was very slow. The subject took
off in the 1960s, when Erdos and Heilbronn, and Freimann published their
celebrated papers, and has been going from strength to strength with the
results of Gowers, Green, Károlyi, Ruzsa, Tao, Vu and others. The talk,
which should be understandable to a wide audience, not only to pure
mathematicians, will contain some of the results I have obtained with Imre
Leader and Marius Tiba, together with a recent breakthrough achieved by
Gowers, Green, Manners and Tao.

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