Finite viscoelastic modeling of yeast cells with an axisymmetrical shell approach

Based on the use of shell kinematics, a theoretical model is developed to predict time-dependent responses Saccharomyces cerevisiae yeasts. These cells are herein described as thin-walled shells with axisymmetrical shapes and, due their soft nature, finite strain range priori adopted. Accordingly, viscoelastic modeling assumed for cell-wall. An Ogden-type energy function used together creep-like potential, this latter describe way overstresses vanish at thermodynamic equilibrium. The cell-volume conservation inner incompressible fluid accounted via an update procedure Uzawa type. Numerical simulations highlight efficiency proposed framework. As further outcome, emergence necessary cell-wall representation by least two sets layers sensitively different mechanical properties established.