Evaluación basada en el método del gradiente de las propiedades elásticas de tejidos humanos in vivo
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Evaluators
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Universidad Industrial de Santander
Abstract
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En la actualidad la simulación numérica del comportamiento mecánico de tejidos humanos en el campo de la medicina es un ámbito de estudio que ha despertado gran interés en la comunidad científica. El estudio del comportamiento de dichos tejidos conlleva una gran dificultad, en parte, atribuida al hecho de que el comportamiento de dichos tejidos cambia de paciente a paciente y en numerosas ocasiones no es posible realizar experimentos directos sobre el tejido para determinar sus propiedades elásticas. Para tal fin, en el presente trabajo se propone un método para hallar dichas propiedades asumiendo un modelo constitutivo de Mooney-Rivlin. Dicho método se basa en la información propor- cionada por imágenes médicas en dos situaciones de deformación del órgano y, mediante un proceso de optimización basado en el gradiente se obtienen, con precisión, las propiedades elásticas del modelo constitutivo. Los experimentos numéricos realizados demuestran la validez del método para el ejemplo utilizado.
At present, the numerical simulation of the mechanical behavior of human tissues in the field of medicine is a field of study that has aroused great interest in the scientific community. The study of the behavior of these tissues entails a great difficulty, partly attributed to the fact that the behavior of these tissues changes from patient to patient and in many occasions it is not possible to perform direct experiments on the tissue to determine its elastic properties. For this purpose, the present work proposes a method to find these properties assuming a constitutive model of Mooney-Rivlin. This method is based on the information provided by medical images in two situations of organ deformation and, through a process of optimization based on the gradient, the elastic properties of the constitutive model are obtained with precision. The numerical experiments performed demonstrate the validity of the method for the example used.
At present, the numerical simulation of the mechanical behavior of human tissues in the field of medicine is a field of study that has aroused great interest in the scientific community. The study of the behavior of these tissues entails a great difficulty, partly attributed to the fact that the behavior of these tissues changes from patient to patient and in many occasions it is not possible to perform direct experiments on the tissue to determine its elastic properties. For this purpose, the present work proposes a method to find these properties assuming a constitutive model of Mooney-Rivlin. This method is based on the information provided by medical images in two situations of organ deformation and, through a process of optimization based on the gradient, the elastic properties of the constitutive model are obtained with precision. The numerical experiments performed demonstrate the validity of the method for the example used.
Keywords
Finite element, gradient method, human tissues, material characterization, elementos finitos, método del gradiente, tejidos humanos, caracterización de materiales