A 3D stochastic model of the cell-wall interface during the rolling.

*(English)*Zbl 1189.74085
Ganghoffer, Jean-FranĂ§ois (ed.) et al., Mechanics of microstructured solids. Cellular materials, fibre-reinforced solids and soft tissues. Papers based on the presentations at the 11th EUROMECH-MECAMAT conference, Torino, Italy, March 10–14, 2008. Berlin: Springer (ISBN 978-3-642-00910-5/hbk; 978-3-642-00911-2/ebook). Lecture Notes in Applied and Computational Mechanics 46, 57-70 (2009).

Summary: The rolling of biological cells is analysed, from the modeling of the local kinetics of successive attachment and detachment of bonds, occurring at the interface between a single cell and the wall of the endothelium. These kinetics correspond to a succession of creation and rupture of ligand-receptor molecular connections, under the combined effects of mechanical, physical (both specific and non specific) and chemical external interactions. A three-dimensional model of the interfacial molecular rupture and adhesion kinetic events is developed in the present contribution, as an extension of a 2D model with an elastic behaviour of the connections. From a mechanical point of view, we assume that the cell-wall interface is composed of two elastic shells, namely the wall and the cell membrane, linked by rheological elements, representing the molecular bonds. Both the time and space fluctuations of several parameters are described by the stochastic field theory. Numerical simulations emphasize the rolling phenomenon, in terms of the time evolution of the number of molecular connections and of the rolling angle.

For the entire collection see [Zbl 1189.74006].

For the entire collection see [Zbl 1189.74006].

##### MSC:

74L15 | Biomechanical solid mechanics |

74S60 | Stochastic and other probabilistic methods applied to problems in solid mechanics |

92C17 | Cell movement (chemotaxis, etc.) |