  In this paper we present a derivation and multiscale analysis of a
mathematical model for plant cell wall biomechanics that takes into account
both the microscopic structure of a cell wall coming from the cellulose
microfibrils and the chemical reactions between the cell wall's constituents.
Particular attention is paid to the role of pectin and the impact of
calcium-pectin cross-linking chemistry on the mechanical properties of the cell
wall. We prove the existence and uniqueness of the strongly coupled microscopic
problem consisting of the equations of linear elasticity and a system of
reaction-diffusion and ordinary differential equations. Using homogenization
techniques (two-scale convergence and periodic unfolding methods) we derive a
macroscopic model for plant cell wall biomechanics.
