Phase field for vesicles under flow and for actin-assisted motility

Chaouqi Misbah

CNRS and University J. Fourier Grenoble I

This contribution focuses on the use of phase-field methods in two main questions inspired by biology:

(i) passive motion under flow, like advection of red blood cells in the circulatory system, and
(ii) active motion generated by actin polymerization, as encountered in cells of the immune system and some micro-organisms (e.g. some bacteria and viruses). The first part is dedicated to the dynamics and rheology of vesicles (a simple model for red blood cells) under flow. Some results obtained on red blood cells are also presented and compared to vesicles. Vesicles and red blood cells under flow exhibit several interesting dynamics: tank-treading, tumbling, vacillating-breathing, and so on. These dynamics have a direct impact on rheology, as will be discussed both from the theoretical and experimental point of views. The second part addresses active motion. Some Bacteria (like Listeria) are known to transfect cells thanks to the polymerization on their surface of an actin gel. Monomeric actin proteins are recruited from the transfected cell when the bacteria gets in contact with the cell surface. It has been found that the bacteria propulsion into the cell occurs in the absence of molecular motors. Biomimetic experiments on beads and droplets have revealed that motion is a consequence of a spontaneous symmetry breaking that is accompanied with force generation. A simple basic model taking into account growth of actin and elasticity is sufficient to capture the essence of symmetry breaking and force generation, as will be presented in this contribution.

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