Dynamics of Z-ring formation in liposomes

Year: 2014
Keywords: membranes
  • Barrio, R. A.
  • Varea, C.
  • Alarcón, T.
  • Picallo, C. B.
  • Hernández-Machado, A.
Journal: BIOMAT 2014 - Proceedings of the International Symposium on Mathematical and Computational Biology
We propose a model for the dynamics of the formation of rings of FtsZ on tubular liposomes which produce constriction on the corresponding membrane. The main characteristic of our model is the energy of interaction between the FtsZ protein and the membrane. This coupling is achieved through the protein increasing the spontaneous curvature energy. Our analysis is based on a linear dispersion relation, valid in general in the linear, short-time regime, which allows us to estimate the minimum concentration of FtsZ protein in order to induce constriction. Using this dispersion relation we are also able to predict the effect of increasing membrane rigidity on the constriction process. Our model allows to study the non-linear, long- term dynamics of the system where we observe coarsening of Z-rings on tubular liposomes.
Full text: 9566_chap01.pdf
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