State and parameter estimation for model-based retinal laser treatment

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Autoren

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

Organisationseinheiten

Externe Organisationen

  • Technische Universität Ilmenau
  • Universität zu Lübeck
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)244-250
Seitenumfang7
FachzeitschriftIFAC-PapersOnLine
Jahrgang54
Ausgabenummer6
Frühes Online-Datum9 Sept. 2021
PublikationsstatusVeröffentlicht - 2021
Veranstaltung7th IFAC Conference on Nonlinear Model Predictive Control (NMPC 2021) - Bratislava, Slowakei
Dauer: 11 Juli 202114 Juli 2021
Konferenznummer: 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.

ASJC Scopus Sachgebiete

Zitieren

State and parameter estimation for model-based retinal laser treatment. / Kleyman, Viktoria; Schaller, Manuel; Wilson, Mitsuru et al.
in: IFAC-PapersOnLine, Jahrgang 54, Nr. 6, 2021, S. 244-250.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-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, Jg. 54, Nr. 6, S. 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 Sep 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 ; Jahrgang 54, Nr. 6. S. 244-250.
Download
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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.",
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AU - Kleyman, Viktoria

AU - Schaller, Manuel

AU - Wilson, Mitsuru

AU - Mordmüller, Mario

AU - Brinkmann, Ralf

AU - Worthmann, Karl

AU - Müller, Matthias A.

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KW - Modeling

KW - Moving horizon estimation

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