University of Dundee

"Mathematical modeling of blood vessel development: predicting multicellular patterning from individual cell behavior"

Event Date: 
Thursday, April 25, 2019 - 14:00 to 15:00
Event Location: 
CTIR Sir Kenneth and Lady Noreen Murray Seminar Room
Professor Kees Weijer FRSE
Event Speaker: 
Professor Roeland Merks
Centrum Wiskund & Informatica, Leiden University
Event Type: 







To form patterns in vivo or in vitro, cells must carefully coordinate their behavior. Here I will present mathematical modeling approaches for the collective behavior of endothelial cells during the development of blood vessels (angiogenesis). I will first briefly discuss mechanisms involving cell-cell communication through diffusing signals. Then I will discuss dynamical mathematical models of cells and the extracellular matrix (ECM), and show how these models help us explain the response of individual cells to the mechanics of the ECM, as well as the collective behavior of cells during angiogenesis. Recently, detailed measurements and new mathematical models of the kinetics of focal adhesions (the macromolecular mechanosensitive assemblies by which cells interact with the ECM) have become available. In our ongoing work we are including these kinetic descriptions of focal adhesions in our models. I will sketch how this approach allows us to mechanistically predict changes in cell shape and in collective cell behavior from changes in focal adhesion kinetics, e.g., due to genetic knockouts or pharmacological treatment. Altogether, our models help explain how local, cell-ECM interactions assist in coordinating cell behavior during multicellular patterning.