State and parameter estimation for model-based retinal laser treatment

Research output: Contribution to journalConference articleResearchpeer review

Authors

  • Viktoria Kleyman
  • Manuel Schaller
  • Mitsuru Wilson
  • Mario Mordmüller
  • Ralf Brinkmann
  • Karl Worthmann
  • Matthias A. Müller

Research Organisations

External Research Organisations

  • Ilmenau University of Technology
  • Universität zu Lübeck
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Details

Original languageEnglish
Pages (from-to)244-250
Number of pages7
JournalIFAC-PapersOnLine
Volume54
Issue number6
Early online date9 Sept 2021
Publication statusPublished - 2021
Event7th IFAC Conference on Nonlinear Model Predictive Control (NMPC 2021) - Bratislava, Slovakia
Duration: 11 Jul 202114 Jul 2021
Conference number: 7

Abstract

We present an approach for state and parameter estimation in retinal laser treatment by a novel setup where both measurement and heating is performed by a single laser. In this medical application, the temperature that is induced by the laser in the patient's eye is critical for a successful and safe treatment. To this end, we pursue a model-based approach using a model given by a heat diffusion equation on a cylindrical domain, where the source term is given by the absorbed laser power. The model is parametric in the sense that it involves an absorption coefficient, which depends on the treatment spot and plays a central role in the input-output behavior of the system. After discretization, we apply a particularly suited parametric model order reduction to ensure real-time tractability while retaining parameter dependence. We augment known state estimation techniques, i.e., extended Kalman filtering and moving horizon estimation, with parameter estimation to estimate the absorption coefficient and the current state of the system. Eventually, we show first results for simulated and experimental data from porcine eyes. We find that, regarding convergence speed, the moving horizon estimation slightly outperforms the extended Kalman filter on measurement data in terms of parameter and state estimation, however, on simulated data the results are very similar.

Keywords

    Model predictive control in medicine applications, Model reduction, Modeling, Moving horizon estimation, Nonlinear observers and filter design, Parameter-varying systems

ASJC Scopus subject areas

Cite this

State and parameter estimation for model-based retinal laser treatment. / Kleyman, Viktoria; Schaller, Manuel; Wilson, Mitsuru et al.
In: IFAC-PapersOnLine, Vol. 54, No. 6, 2021, p. 244-250.

Research output: Contribution to journalConference articleResearchpeer review

Kleyman, V, Schaller, M, Wilson, M, Mordmüller, M, Brinkmann, R, Worthmann, K & Müller, MA 2021, 'State and parameter estimation for model-based retinal laser treatment', IFAC-PapersOnLine, vol. 54, no. 6, pp. 244-250. https://doi.org/10.1016/j.ifacol.2021.08.552
Kleyman, V., Schaller, M., Wilson, M., Mordmüller, M., Brinkmann, R., Worthmann, K., & Müller, M. A. (2021). State and parameter estimation for model-based retinal laser treatment. IFAC-PapersOnLine, 54(6), 244-250. https://doi.org/10.1016/j.ifacol.2021.08.552
Kleyman V, Schaller M, Wilson M, Mordmüller M, Brinkmann R, Worthmann K et al. State and parameter estimation for model-based retinal laser treatment. IFAC-PapersOnLine. 2021;54(6):244-250. Epub 2021 Sept 9. doi: 10.1016/j.ifacol.2021.08.552
Kleyman, Viktoria ; Schaller, Manuel ; Wilson, Mitsuru et al. / State and parameter estimation for model-based retinal laser treatment. In: IFAC-PapersOnLine. 2021 ; Vol. 54, No. 6. pp. 244-250.
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AU - Schaller, Manuel

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AU - Brinkmann, Ralf

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