MECHANISTIC MODELING OF LONGITUDINAL SHAPE ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
MECHANISTIC MODELING OF LONGITUDINAL SHAPE CHANGES: EQUATIONS OF MOTION AND INVERSE PROBLEMS
Auteur(s) :
Hsieh, Dai-Ni [Auteur]
Arguillère, Sylvain [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Charon, Nicolas [Auteur]
Younes, Laurent [Auteur]
Arguillère, Sylvain [Auteur]
![refId](/themes/Mirage2//images/idref.png)
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Charon, Nicolas [Auteur]
Younes, Laurent [Auteur]
Titre de la revue :
SIAM Journal on Applied Dynamical Systems
Éditeur :
Society for Industrial and Applied Mathematics
Date de publication :
2021
ISSN :
1536-0040
Discipline(s) HAL :
Mathématiques [math]/Optimisation et contrôle [math.OC]
Mathématiques [math]/Géométrie différentielle [math.DG]
Mathématiques [math]/Géométrie différentielle [math.DG]
Résumé en anglais : [en]
This paper examines a longitudinal shape evolution model in which a 3D volume progresses through a family of elastic equilibria in response to the time-derivative of an internal force, or yank, with an additional regularization ...
Lire la suite >This paper examines a longitudinal shape evolution model in which a 3D volume progresses through a family of elastic equilibria in response to the time-derivative of an internal force, or yank, with an additional regularization to ensure diffeomorphic transformations. We consider two different models of yank and address the long time existence and uniqueness of solutions for the equations of motion in both models. In addition, we derive sufficient conditions for the existence of an optimal yank that best describes the change from an observed initial volume to an observed volume at a later time. The main motivation for this work is the understanding of processes such as growth and atrophy in anatomical structures, where the yank could be roughly interpreted as a metabolic event triggering morphological changes. We provide preliminary results on simple examples to illustrate, under this model, the retrievability of some attributes of such events.Lire moins >
Lire la suite >This paper examines a longitudinal shape evolution model in which a 3D volume progresses through a family of elastic equilibria in response to the time-derivative of an internal force, or yank, with an additional regularization to ensure diffeomorphic transformations. We consider two different models of yank and address the long time existence and uniqueness of solutions for the equations of motion in both models. In addition, we derive sufficient conditions for the existence of an optimal yank that best describes the change from an observed initial volume to an observed volume at a later time. The main motivation for this work is the understanding of processes such as growth and atrophy in anatomical structures, where the yank could be roughly interpreted as a metabolic event triggering morphological changes. We provide preliminary results on simple examples to illustrate, under this model, the retrievability of some attributes of such events.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Commentaire :
41 pages, 11 figures
Collections :
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