Details
| Original language | English |
|---|---|
| Article number | 105320 |
| Journal | Control engineering practice |
| Volume | 128 |
| Early online date | 30 Aug 2022 |
| Publication status | Published - Nov 2022 |
Abstract
Laser photocoagulation is one of the most frequently used treatment approaches for retinal diseases such as diabetic retinopathy and macular edema. The use of model-based control, such as Model Predictive Control (MPC), enhances a safe and effective treatment by guaranteeing temperature bounds. In general, real-time requirements for model-based control designs are not met since the temperature distribution in the eye fundus is governed by a heat equation with a nonlinear parameter dependency. This issue is circumvented by representing the model by a lower-dimensional system which well-approximates the original model, including the parametric dependency. We combine a global-basis approach with the discrete empirical interpolation method, tailor its hyperparameters to laser photocoagulation, and show its superiority in comparison to a recently proposed method based on Taylor-series approximation. Its effectiveness is measured in computation time for MPC. We further present a case study to estimate the range of absorption parameters in porcine eyes, and by means of a theoretical and numerical sensitivity analysis we show that the sensitivity of the temperature increase is higher with respect to the absorption coefficient of the retinal pigment epithelium (RPE) than of the choroid's.
Keywords
- Model predictive control, Parameter identification, Parametric model order reduction, Retinal laser treatment
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
- Mathematics(all)
- Applied Mathematics
Sustainable Development Goals
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In: Control engineering practice, Vol. 128, 105320, 11.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Parameter estimation and model reduction for model predictive control in retinal laser treatment
AU - Schaller, Manuel
AU - Wilson, Mitsuru
AU - Kleyman, Viktoria
AU - Mordmüller, Mario
AU - Brinkmann, Ralf
AU - Müller, Matthias A.
AU - Worthmann, Karl
N1 - Funding Information: The collaborative project “Temperature controlled retinal laser treatment” is funded by the German Research Foundation (DFG) under the project number 430154635 ( MU 3929/3-1 , WO 2056/7-1 , BR 1349/6-1 ). MS was also funded by the DFG, Germany (grant WO 2056/2-1 , project number 289034702 ). KW gratefully acknowledges funding by the German Research Foundation (DFG; grant WO 2056/6-1 , project number 406141926 ).
PY - 2022/11
Y1 - 2022/11
N2 - Laser photocoagulation is one of the most frequently used treatment approaches for retinal diseases such as diabetic retinopathy and macular edema. The use of model-based control, such as Model Predictive Control (MPC), enhances a safe and effective treatment by guaranteeing temperature bounds. In general, real-time requirements for model-based control designs are not met since the temperature distribution in the eye fundus is governed by a heat equation with a nonlinear parameter dependency. This issue is circumvented by representing the model by a lower-dimensional system which well-approximates the original model, including the parametric dependency. We combine a global-basis approach with the discrete empirical interpolation method, tailor its hyperparameters to laser photocoagulation, and show its superiority in comparison to a recently proposed method based on Taylor-series approximation. Its effectiveness is measured in computation time for MPC. We further present a case study to estimate the range of absorption parameters in porcine eyes, and by means of a theoretical and numerical sensitivity analysis we show that the sensitivity of the temperature increase is higher with respect to the absorption coefficient of the retinal pigment epithelium (RPE) than of the choroid's.
AB - Laser photocoagulation is one of the most frequently used treatment approaches for retinal diseases such as diabetic retinopathy and macular edema. The use of model-based control, such as Model Predictive Control (MPC), enhances a safe and effective treatment by guaranteeing temperature bounds. In general, real-time requirements for model-based control designs are not met since the temperature distribution in the eye fundus is governed by a heat equation with a nonlinear parameter dependency. This issue is circumvented by representing the model by a lower-dimensional system which well-approximates the original model, including the parametric dependency. We combine a global-basis approach with the discrete empirical interpolation method, tailor its hyperparameters to laser photocoagulation, and show its superiority in comparison to a recently proposed method based on Taylor-series approximation. Its effectiveness is measured in computation time for MPC. We further present a case study to estimate the range of absorption parameters in porcine eyes, and by means of a theoretical and numerical sensitivity analysis we show that the sensitivity of the temperature increase is higher with respect to the absorption coefficient of the retinal pigment epithelium (RPE) than of the choroid's.
KW - Model predictive control
KW - Parameter identification
KW - Parametric model order reduction
KW - Retinal laser treatment
UR - http://www.scopus.com/inward/record.url?scp=85138240176&partnerID=8YFLogxK
U2 - 10.1016/j.conengprac.2022.105320
DO - 10.1016/j.conengprac.2022.105320
M3 - Article
AN - SCOPUS:85138240176
VL - 128
JO - Control engineering practice
JF - Control engineering practice
SN - 0967-0661
M1 - 105320
ER -