A Theoretical Model to Fracture in Cell Membrane
A new stress function modelling the fails in biological tissue is here proposed. Under the assumption that the cell membrane may be modelled as neo-Hookean materials, we develop the problem in the framework of non-linear elasticity. We attempt to model the ice nucleation phenomenon when freezing and thawing occurs in cellular cryo-preservation. The ice seed generated surface can be either soft or wrinkled and, when the latter emerges a punch contact against the cell membrane takes place. Restricting our attention on opportune mono-dimensional sub-set, we extend the multiple critical points theorem at our model. We find a particular solution in agreement to the classical fracture models besides a response function in accordance to the stress and strain field distribution in biological materials.
M. Buonsanti and A. Pontari, "A Theoretical Model to Fracture in Cell Membrane", Journal of Biomimetics, Biomaterials and Tissue Engineering, Vol. 11, pp. 67-71, 2011