Tilmann Glimm (Western Washington University): Modeling in vitro experiments of chicken limb skeletal
morphogensis: The role of galectins
Saturday, 14.01.2012 14:00 im Raum Besprechungsraum der Numerik
In embryonic development, cells self-organize to form complex
patterns giving rise to tissues and organs. One of the standard
experimental models for self-organization in development is the
formation of skeletal elements in chicken legs and wings.
Here cells aggregate to form so-called chondrogenic condensations,
which turn into cartilage and later into bone.
This behavior is also seen in vitro in so-called micromass
The exact regulatory mechanisms for this process are intensely studied,
but far from understood.
One of the very earliest markers of condensations are members of the
family of galectins (glycoproteins).
Recently S. A. Newman and R. Bhat (New York Medical College) have
experimentally identified a possible regulatory network of galectins.
This network displays some intriguing and counterintuitive behavior. My
talk is a preliminary report on work in progress on modeling this
galectin network with a system of nonlocal parabolic PDESs. Besides
setting up the model, I will present some numerical results and talk
about analytical and numerical challenges.