Bioscience and Bioengineering
Articles Information
Bioscience and Bioengineering, Vol.1, No.4, Oct. 2015, Pub. Date: Sep. 26, 2015
Applied Inverse Methods for Optimal Deformation of Lumbar Artificial Disk/Implants with Numerical Reuleaux Method and 3D Voxelization-Computational Simulations
Pages: 94-105 Views: 1545 Downloads: 1006
[01] Francisco Casesnoves, Computational Bioengineering, International Institute of Informatics and Systemics, Orlando, Florida State, USA.
Lumbar artificial implants/disks experiment material deformations during the biomechanical loads/movements that are acting dynamically on the lumbar spine, e.g., flexion, extension, lateral flexion and torsion. During this biomechanical process disks and vertebras, (each spine part as a whole in general) move around an Instantaneous Rotation Center (IRC, 3D) or an Instantaneous Axis of Rotation (IAR, 2D). During extreme conditions of physical effort, the angles of IRC/IAR are enforced until reaching the maximum of their anatomical-physiological capabilities, with additional work-load for muscles, tendons, cartilage, and surrounding tissues. We carried out geometrical-mathematical-approaches to determine optimal deformation, given a selected IRC/IAR, which was chosen different from the non-deformed solid IRC/IAR, and find out the implant physical-geometrical variables linked to that obtained deformation. Voxelization of the implant in 3D constitutes the basis of this new contribution. Computational-Numerical Method was the inverse geometrical algorithms of Numerical Reuleaux Method (NRM), based on previous publications/algorithms. Once the optimal deformation was determined, the numerical 3D fitting to a nonlinear polynomial for the stress and strain was calculated. Initial results agreed to formal NRM with useful data of contact mechanics stress/strain equations/parameters and distribution/magnitudes, all complemented with matrix algebra numerical formulation and radiological experimental data. Bioengineering applications and Radiology-geometrical results, both for manufacturing design and clinical improvements were presented.
Lumbar Artificial Implants, Reuleaux Method (RM), Numerical Reuleaux Method (NRM), Contact Mechanics, Instantaneous Rotation Center (IRC), Optimization, Numerical-Geometrical Methods
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