“…The deformation of closed spherical or elliptical shells by an applied force has been extensively studied experimentally and theoretically driven by attempts to infer the mechanical properties of biological components, such as fish eggs, sea urchins (Vlès, 1926;Cole, 1932), microcapsules (Liu et al, 1996;Carin et al, 2003) and cells (Smith et al, 1998) with earlier experiments dating back from 1891 (Pfeffer, 1891). Cells in their fluid environment are under stress that may lead to damage when under excessive compression in typical bioprocesses for example Arnaud et al (1993) and Ho et al (1995), or more recently, the studies of Douaire et al (2011) on the phenotypic modification of bacteria in a Couette bioreactor. The cell response can be modelled as a closed axisymmetric elastic shell (Smith et al, 1998).…”