Jp. Laible et al., A DYNAMIC MATERIAL PARAMETER-ESTIMATION PROCEDURE FOR SOFT-TISSUE USING A POROELASTIC FINITE-ELEMENT MODEL, Journal of biomechanical engineering, 116(1), 1994, pp. 19-29
A three-dimensional finite element model for a poroelastic medium has
been coupled with a least squares parameter estimation method for the
purpose of assessing material properties based on intradiscal displace
ment and reactive forces. Parameter optimization may be based on eithe
r load or displacement control experiments. In this paper we present t
he basis of the finite element model and the parameter estimation proc
ess. The method is then applied to a rest problem and the computationa
l behavior is discussed. Sequential optimization on different paramete
r groups was found to have superior convergence properties. Some guide
lines for choosing the starting parameter values for optimization were
deduced by considering the form of the objective function. For load c
ontrol experiments, in which displacement data is used for the optimiz
ation, the starting values for the elastic modulus should be lower in
magnitude than an ''anticipated'' modulus. The permeability starting v
alues should be higher than an anticipated permeability. For displacem
ent control experiments, the reverse is true. The optimization scheme
was also tested on data with random variations.