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In this paper we present a derivation and multiscale analysis of amathematical model for plant cell wall biomechanics that takes into accountboth the microscopic structure of a cell wall coming from the cellulosemicrofibrils and the chemical reactions between the cell wall's constituents.Particular attention is paid to the role of pectin and the impact ofcalcium-pectin cross-linking chemistry on the mechanical properties of the cellwall. We prove the existence and uniqueness of the strongly coupled microscopicproblem consisting of the equations of linear elasticity and a system ofreaction-diffusion and ordinary differential equations. Using homogenizationtechniques (two-scale convergence and periodic unfolding methods) we derive amacroscopic model for plant cell wall biomechanics.

Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics