Transcendentally frequency-dependent complex valued non-symmetric mobility matrices are treated.
Computational issues, as the construction of the nonlocal element and global stiffness matrices, are treated in detail.
The purely non-proportional damping matrix and possible modification matrices are treated as the perturbation matrix to the proportionally damped system.
For proteins, amino acids that are considered very similar, for example using the PAM [ 6] or BLOSUM [ 7] matrices, are treated as complete mismatches.
In particular, representative volume elements were used on the micro-scale, where fiber and matrix were treated separately, and on the textile scale of the woven structure.
E nzymatic digestion of noncollagenous constituents. Segments of bone matrix were treated with α-amylase in a phosphate buffer solution at 25 C and at 2 C (using buffer solution without the enzyme for controls), for chemical and implantation studies.
In all MP analyses, multistate characters were treated as polymorphic, indel characters embedded in the sequence data matrix were treated as missing data (but were represented in an additional character matrix), and tree searches using PAUP [ 23] were heuristic using at least 200 random addition replicates and TBR branch-swapping.
C hemical modification of the proteins of bone matrix.— Glutaraldehyde cross-linking. Three segments of demineralized rat bone matrix were treated in 100 ml of each of the following aqueous solutions of glutaraldehyde at 2 C for one hour: 1, 2, 5, 10, 100, 1,000 and 2,000 mM/liter before implantation.
Formaldehyde cross-linking. Three segments of demineralized normal and lathyritic bone matrix were treated before implantation in 1, 1.8, 2.0, and 3.3 M solutions of formaldehyde to produce supernumerary intermolecular and intramolecular crosslinks as denned by Nold, Kang, and Gross [ 26].
Based on the knowledge of the Hessian matrix symmetry, only the off-diagonal elements of Hessian matrix are treated mathematically.
