Morphogenesis modelization of a fracture-based model (Monique Chyba, Hawaii)

03.11.2015 14:15

It has been hypothesized that the generation of new neural cells (neurogenesis) in the developing and adult brain is guided by the extracellular matrix. The extracellular matrix of the neurogenic niches features specialized structures termed fractones, which are scattered in between stem/progenitor cells and bind and activate growth factors at the surface of stem/progenitor cells to influence their proliferation. We present a mathematical control model that considers the role of fractones as captors and activators of growth factors, controlling the rate of proliferation and directing the location of the newly generated neuroepithelial cells in the forming brain. The model is a hybrid control system that incorporates both continuous and discrete mechanics. The fractones in the model are represented by controls that allow for their dynamic placement in and removal from the evolving cell mass. We conclude with a discussion on controllability and optimization of the model.

Lieu

salle 623, Séminaire d'analyse numérique

Organisé par

Section de mathématiques

entrée libre

Classement

Catégorie: Séminaire

Mots clés: analyse numérique