Modelling and analysis of collagen piezoelectricity in human cornea

Mahapatra, D.R. and Melnik, R.V.N.

Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis, 13, 377-384 (Suppl. S, ISSN: 1201-3390 ), 2006


This paper reports a mathematical model and finite element simulation of the dynamic piezoelectricity in human cornea including the effect of dehydration. A constitutive model is proposed for the numerical characterization of cornea based on the available experimental data. The constitutive model is then employed to derive the conservation law for the dynamic piezoelectricity supplemented by the time-dependent equation for the electromagnetic field. Electromechanical coupling in the resulting system of hyperbolic partial differential equations is treated by using the source terms. The system is solved by finite element method. Numerical results presented here demonstrate promising applications of the developed model in aiding refractive surgery and a better understanding of regenerative processes in cornea.