Identification of Hybrid Time-varying Parameter systems with Particle Filtering and Expectation Maximization
Departamento de Engenharia Informática –
Abstract:One limiting assumption of many mathematical models for dynamic systems is that the parameters of the
system do not change during the observation period, which however does
not necessary hold in many cases.
This is typical for biological and medical systems, where we observe a high intra-individual variability in the model parameters. Hybrid time-varying parameter framework is able to capture the changes of parameters that may represent the change of state of the individual, for example
in HIV infected patients, changes of conditions in regulatory metabolic networks or diauxic bacterial growth on mixed sugar medium.
Thus, in these scenarios, a subset or even all the parameters have to be treated as time-varying in
order to capture the dynamics of the system.
An offline (batch) algorithm that combines particle filtering and the expectation maximization is
introduced for the identification of such systems.
The efficiency of the proposed method is illustrated through simulated and real-world examples.
Date: 2013-Jul-19 Time: 11:00:00 Room: 336
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Workshop “Metabolism and mathematical models: Two for a tango” – 2nd Edition
Title: Workshop Metabolism and mathematical models: Two for a tango – 2nd Edition
Dates: October 25-26, 2022
Location: This workshop will be held in a virtual way
The topic of this workshop is metabolism in general, with a special focus, although not exclusive, on parasitology. Besides an exploration of the biological, biochemical and biomedical aspects, the workshop will also aim at presenting some of the mathematical modelling, algorithmic theory and software development that have become crucial to explore such aspects.
This workshop is being organised in the context of two projects, both with the Inria European Team Erable. One of the projects involves a partnership with the University of São Paulo (USP), in São Paulo, Brazil, more specifically the Institute of Mathematics and Statistics (IME) and the Institute of Biomedical Sciences – Inria Associated Team Capoeira – and the other involves the Inesc-ID/IST in Portugal, ETH in Zürich and EMBL in Heidelberg – H2020 Twinning Project Olissipo.
The workshop is open to all members of these two projects but also, importantly, to the community in general.
The program and more details are available here.