Technical note : Generation of tissue folds by oriented cells in a coupled von Karman--tensor model and application to biometrics - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Technical note : Generation of tissue folds by oriented cells in a coupled von Karman--tensor model and application to biometrics

Maël Berthier
  • Fonction : Auteur

Résumé

Biophysics of development is progressing steadily. It is recognized that formation of organs is a biomechanical process including stresses and deformations. From a theoretical point of view, it is necessary to include forces in tissue development to understand how forms unfold. However, living tissue is not a uniform material, it is composed of cells, and cells tend to form organized layers. We present a theoretical framework which is able to produce biological forms from a plate theory coupled to an active nematoïd field. The theory consists of a von Karman plate equation coupled to a-tensor dynamics, however, in this description the-tensor is not a static description of a nematoïd field but the actuator of a field of force. The-tensor serves as active stress in the von Karman equation to generate thin plate out-of-plane deformations (buckling). A simple application of this model is presented: the formation of fingerprints. The model is able to easily produce fingerprints, including potentially actual fingerprints.
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Dates et versions

hal-04184845 , version 1 (22-08-2023)

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  • HAL Id : hal-04184845 , version 1

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Vincent Fleury, Maël Berthier. Technical note : Generation of tissue folds by oriented cells in a coupled von Karman--tensor model and application to biometrics. 2023. ⟨hal-04184845⟩
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