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: 1045 Downloads: 574
Authors
[01] Francisco Casesnoves, Computational Bioengineering, International Institute of Informatics and Systemics, Orlando, Florida State, USA.
Abstract
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.
Keywords
Lumbar Artificial Implants, Reuleaux Method (RM), Numerical Reuleaux Method (NRM), Contact Mechanics, Instantaneous Rotation Center (IRC), Optimization, Numerical-Geometrical Methods
References
[01] Casesnoves, F. ‘3D Improved Mathematical Model for Lumbar Intervertebral Ligaments (Lils)’. Peer-reviewed SIAM Poster. SIAM San Diego Life Sciences Conference. August 2012. San Diego, California, USA.
[02] Casesnoves, F. “An Optimization Method for anterior vertebral body morphometry to enhance surgical devices”. Lecture-Poster. 2008 SIAM Conference of Imaging Science. San Diego CA, USA. July 2008. 2.1-Casesnoves, F.” Computational Simulations of Anterior Vertebral Surface for Statistical Optimization in Surgical Instrumentation Design”. ASME Peer-reviewed Conference Paper and Poster. Proceedings of the 2010 Design of Medical Devices Conference. April 13-15, 2010, Minneapolis, MN, USA.
[03] Casesnoves, F. “Spinal Biomechanics Mathematical Model For Lumbar Intervertebral Ligaments”. 2011 SIAM Conference on Computational Science and Engineering. Reno, Nevada, USA.
[04] Casesnoves F. ’Simulations of the NRM for Lumbar Artificial Disc Implants IRC Determination’ Casesnoves. SIAM Conference in Computational Science/Engineering. MI. USA. 2009.
[05] Casesnoves, F. ´Theory and Primary Computational Simulations of the Numerical Reuleaux Method (NRM)´ International Journal of Mathematics and Computation (http://www.ceser.in/ceserp/index.php/ijmc/issue/view/119). Volume 13, Issue Number D11.2011.
[06] Casesnoves, F. 'Applied Inverse Methods for Deformable Solid Dynamics/Kinematics in Numerical Reuleaux Method (NRM)' Casesnoves, F. International Journal of Numerical Methods and Applications. Volume 9(2) 2013 .Pages 109-131. Peer-Reviewed International Mathematical/Computation Journal Article Print/Online.http://www.pphmj.com/abstract/7688.htm.
[07] Bartholomew-Biggs, M. Nonlinear Optimization with Engineering Applications. Springer Optimization and its Applications. 2008.
[08] Casesnoves, F. Bioengineering Inverse Methods for Optimal Geometrical/Mechanical Deformation of Lumbar Artificial Disks/Implants Using the Numerical Reuleaux Method. Peer-reviewed Poster by international selected Chairs Panel. International Conference on Significant Advances in Biomedical Engineering. OMICS International Conference. Philadelphia April 2015. This Poster was officially awarded by Scientific Program Chairs Panel as the Best Poster Presentation at Conference, for scientific significance and bioengineering interest. Official Certificate, 28th April, 2015.
[09] Casesnoves, F. 'Experimental Optimization of Radiological Markers for Artificial Disk Implants with Imaging/Geometrical Applications. A Functional Manufacturing Basic'. Peer-reviewed article. Print and Online. Researches and Applications in Mechanical Engineering Vol 2 Issue 4.December 2013. http://seipub.org/rame/paperInfo.aspx?ID3913.
[10] Abramovitz, M, Stegún, I. Handbook of Mathematical Functions. Ninth Edition. 1970. Aparecido, H, De Padua, M, Shimano, A. 'Compression or Distraccion Forces Applied on a Pedicular Fixation System:An Experimental Study'.Acta Orthopedica Brasilera 14(3) – 2006.
[11] Bartholomew-Biggs, M. 'Nonlinear Optimization with Engineering Applications'. Springer Optimization and its Applications. 2008.
[12] Bertsekas, DP. 'Nonlinear Programming'. Second Edition. Athena Scientific. 2003.
[13] Casesnoves, F. ’Simulations of the Numerical Reuleaux Method (NRM) for Lumbar Artificial Disk Implants IRC Determination’ Casesnoves. Peer-reviewed SIAM Poster. SIAM Conference in Computational Science/Engineering. MI. USA. 2009.
[14] Cheney, W., and Light, W., 2000, A Course in Approximation Theory (Graduate Studies in Mathematics), Am. Math. Soc., Providence, RI, Vol. 101.
[15] Christopher J. Colloca, DC, a and Richard N. Hinrichs. 'The Biomechanical and Clinical Significance of the Lumbar Erector Spinae Flexion-Relaxation Phenomenon: A Review of the Literature'. Journal of Manipulative and Physiological Therapeutics.October 2005.
[16] Gail, J M. 'Biomechanics of Lumbar Intervertebral Disk: A Review'. Phys. Ther. 1980; 60: 765-773.
[17] Crisco J, Fujita, Spenciner D. 'The dynamic flexion/extension properties of the lumbar spine in vitro using a novel pendulum system'. Journal of Biomechanics 40 (2007) 2767–2773.
[18] Hildebrand, F B. 'Introduction to Numerical Analysis'. Second Edition, revised. Dover Publications, Inc., 1987.
[19] Jaumar, N, and Colls. 'Contact Pressure in the Facet Joint During Sagittal Bending of the Cadaveric Cervical Spine'. Journal of Biomechanical Engineering. July 2011, Vol 133.2011.
[20] Kiefer, A, Shirazi, Adl, Parnianpour, M. 'Stability of the Human Spine in Neutral Postures'. Eur Spine J (1997). 6:45-53. Springer 1997. A
[21] Knudson Duane. 'Fundamentals of Biomechanics'. Second Edition. Springer 2007.
[22] Levangie, P, and Norkin, C. 'Joint Structure and Function: A Comprehensive Analysis'. Fourth Edition. F. A. Davis Company, Philadelphia. 2005.
[23] Maquer, G.' Image-based biomechanical assessment of vertebral body and intervertebral disc in the human lumbar spine'. Doctoral Thesis. Bern University. 2013.
[24] Medical Advisory Secretariat, Ministry of Health. 'Artificial Discs for Lumbar and Cervical Degenerative Disc Disease – Update An Evidence-Based Analysis. Ontario Health Technology Assessment Series 2006; Vol. 6, No. 10.
[25] O’Shaughnessy, Jean-François Roy J F and Martin Descarreaux M. 'Changes in flexion-relaxation phenomenon and lumbo-pelvic kinematics following lumbar disc replacement surgery'. Journal of Neuro Engineering and Rehabilitation 2013, 10:72.
[26] Palepu, V, Kodigudla M, and V. K. Goel, V K.'Biomechanics of Disc Degeneration'. Hindawi Publishing Corporation. Advances in Orthopedics. Volume 2012, Article ID 726210, 17 pages. doi: 10.1155/2012/726210.
[27] Rousseau, M-A, Bradford, DS, Hadi TM, Pedersen KL, and Lotz JC.'The instant axis of rotation influences facet forces at L5/S1 during flexion/extension and lateral bending'.Eur Spine J. 2006 Mar; 15(3): 299–307.
[28] Wachowski, and 9 collaborators. 'Migration of the instantaneous axis of motion during axial rotation in lumbar segments and role of the zygapophysial joints'. Acta of Bioengineering and Biomechanics.Vol. 12, No. 4, 2010.
[29] White, A., and Panjabi, M., 1978. 'Clinical Biomechanics of the Spine'. J. B. Lippincott & Co., Philadelphia, PA.
600 ATLANTIC AVE, BOSTON,
MA 02210, USA
+001-6179630233
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - 2017 American Institute of Science except certain content provided by third parties.