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Model order reduction and sensitivity analysis for complex heat transfer simulations inside the human eyeball.
Saigre, Thomas; Prud'homme, Christophe; Szopos, Marcela.
Afiliación
  • Saigre T; Institut de Recherche Mathématique Avancée, UMR 7501 Université de Strasbourg et CNRS, Strasbourg, France.
  • Prud'homme C; Institut de Recherche Mathématique Avancée, UMR 7501 Université de Strasbourg et CNRS, Strasbourg, France.
  • Szopos M; Université Paris Cité, CNRS, MAP5, F75006, Paris, France.
Int J Numer Method Biomed Eng ; : e3864, 2024 Sep 09.
Article en En | MEDLINE | ID: mdl-39250194
ABSTRACT
Heat transfer in the human eyeball, a complex organ, is significantly influenced by various pathophysiological and external parameters. Particularly, heat transfer critically affects fluid behavior within the eye and ocular drug delivery processes. Overcoming the challenges of experimental analysis, this study introduces a comprehensive three-dimensional mathematical and computational model to simulate the heat transfer in a realistic geometry. Our work includes an extensive sensitivity analysis to address uncertainties and delineate the impact of different variables on heat distribution in ocular tissues. To manage the model's complexity, we employed a very fast model reduction technique with certified sharp error bounds, ensuring computational efficiency without compromising accuracy. Our results demonstrate remarkable consistency with experimental observations and align closely with existing numerical findings in the literature. Crucially, our findings underscore the significant role of blood flow and environmental conditions, particularly in the eye's internal tissues. Clinically, this model offers a promising tool for examining the temperature-related effects of various therapeutic interventions on the eye. Such insights are invaluable for optimizing treatment strategies in ophthalmology.
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Int J Numer Method Biomed Eng Año: 2024 Tipo del documento: Article País de afiliación: Francia Pais de publicación: Reino Unido

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Int J Numer Method Biomed Eng Año: 2024 Tipo del documento: Article País de afiliación: Francia Pais de publicación: Reino Unido