Numerical methods for diagnosis and therapy design of cerebral palsy by bilevel optimal control of constrained biomechanical multi-body systems
In this chapter, we describe how to use mathematical optimization for diagnosis and treatment planning of cerebral palsy. We give background information on the disease and the medical diagnosis and treatment which is conducted currently and to which we contribute. As common in biomechanics, we model...
Guardado en:
| Autores principales: | , , , , |
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| Formato: | Chapter/Article |
| Lenguaje: | inglés |
| Publicado: |
2022
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| In: |
Non-smooth and complementarity-based distributed parameter systems
Year: 2022, Pages: 21-41 |
| DOI: | 10.1007/978-3-030-79393-7_2 |
| Acceso en línea: | Verlag, lizenzpflichtig, Volltext: https://link.springer.com/chapter/10.1007/978-3-030-79393-7_2 Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/978-3-030-79393-7_2 
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| Notas de Autor: | Hans Georg Bock, Ekaterina Kostina, Marta Sauter, Johannes P. Schlöder, and Matthias Schlöder |
| Sumario: | In this chapter, we describe how to use mathematical optimization for diagnosis and treatment planning of cerebral palsy. We give background information on the disease and the medical diagnosis and treatment which is conducted currently and to which we contribute. As common in biomechanics, we model the human body as a rigid multi-body system and give a review on the corresponding dynamics. Assuming that, as a consequence of nature evolutionary process, natural gaits are optimal with respect to a certain performance criterion, the gait itself is modeled as the solution of an optimal control problem subject to state-dependent constrains, where a cost function depends on individual parameters. We present two solution approaches to this problem, which then serves as the lower level of two bilevel problems: An inverse optimal control problem, where we use parameter estimation to extract the patient’s individual optimization criteria out of motion tracking data, and a robustified optimal control problem, in which we simulate the effect of interventions, modeled as parameter variations, on a patient’s gait while taking into account possible uncertainties. |
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| Notas: | Online veröffentlicht: 22. Juni 2021 Gesehen am 30.06.2026 |
| Descripción Física: | Online Resource |
| ISBN: | 9783030793937 |
| DOI: | 10.1007/978-3-030-79393-7_2 |