Phasefield modelling of the dynamics of Zring formation in liposomes: Onset of constriction and coarsening
Year:  2015  

Keywords:  membranes  
Authors: 


Journal:  European Physical Journal E  Volume:  38 
Number:  61  Pages:  6 
BibTex: 

Abstract:  We propose a model for the dynamics of the formation of rings of FtsZ on tubular liposomes
which produce constriction on the corresponding membrane. Our phasefield model is based on a simple bending energy that captures the dynamics of the interplay between the protein and the membrane. The shorttime regime is analyzed by a linear dispersion relation, with which we are able to predict the number of rings per unit length on a tubular liposome. We study numerically the longtime dynamics of the system in the nonlinear regime where we observe coarsening of Zrings on tubular liposomes. In particular, our numerical results show that, during the coarsening process, the number of Zrings decreases as the radius of tubular liposome increases. This is consistent with the experimental observation that the separation between rings is proportional to the radius of the liposome. Our model predicts that the mechanism for the increased rate of coarsening in liposomes of larger radius is a consequence of the increased interface energy. 

Full text: PicalloBarrio15.pdf
