Abstract
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 calciumpectin crosslinking 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 reactiondiffusion and ordinary differential equations. Using homogenization techniques (twoscale convergence and periodic unfolding methods) we derive a macroscopic model for plant cell wall biomechanics.
Original language  English 

Pages (fromto)  593631 
Number of pages  39 
Journal  ESAIM: Mathematical Modelling and Numerical Analysis 
Volume  50 
Issue number  2 
DOIs  
Publication status  Published  Mar 2016 
Keywords
 Elasticity
 Homogenization
 Periodic unfolding method
 Plant modelling
 Reactiondiffusion equations
 Twoscale convergence
ASJC Scopus subject areas
 Analysis
 Numerical Analysis
 Modelling and Simulation
 Applied Mathematics
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Mariya Ptashnyk
 School of Mathematical & Computer Sciences  Associate Professor
 School of Mathematical & Computer Sciences, Mathematics  Associate Professor
Person: Academic (Research & Teaching)