Enhancing the available nanotechnology to describe physicochemical interactions during biokinetic regulation will strongly support cellular and molecular engineering efforts. In a recent mathematical model developed to extend the applicability of a statically loaded, single-cell biomechanical analysis, a biokinetic regulatory threshold was presented (Saha and Kohles, 2010, “A Distinct Catabolic to Anabolic Threshold Due to Single-Cell Static Nanomechanical Stimulation in a Cartilage Biokinetics Model,” J. Nanotechnol. Eng. Med., 1(3), p. 031005). Results described multiscale mechanobiology in terms of catabolic to anabolic pathways. In the present study, we expand the mathematical model to continue exploring the nanoscale biomolecular response within a controlled microenvironment. Here, we introduce a dynamic mechanical stimulus for regulating cartilage molecule synthesis. Model iterations indicate the identification of a biomathematical mechanism balancing the harmony between catabolic and anabolic states. Relative load limits were defined to distinguish between “healthy” and “injurious” biomolecule accumulations. The presented mathematical framework provides a specific algorithm from which to explore biokinetic regulation.
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e-mail: asaha@centralstate.edu
e-mail: kohles@cecs.pdx.edu
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November 2010
Research Papers
Periodic Nanomechanical Stimulation in a Biokinetics Model Identifying Anabolic and Catabolic Pathways Associated With Cartilage Matrix Homeostasis
Asit K. Saha,
Asit K. Saha
Department of Mathematics and Computer Science and Center for Allaying Health Disparities Through Research and Education (CADRE),
e-mail: asaha@centralstate.edu
Central State University
, Wilberforce, OH 45384
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Sean S. Kohles
Sean S. Kohles
Department of Mechanical and Materials Engineering, Reparative Bioengineering Laboratory,
e-mail: kohles@cecs.pdx.edu
Portland State University
, Portland, OR 97201; Department of Surgery, Oregon Health and Science University
, Portland, OR 97239
Search for other works by this author on:
Asit K. Saha
Department of Mathematics and Computer Science and Center for Allaying Health Disparities Through Research and Education (CADRE),
Central State University
, Wilberforce, OH 45384e-mail: asaha@centralstate.edu
Sean S. Kohles
Department of Mechanical and Materials Engineering, Reparative Bioengineering Laboratory,
Portland State University
, Portland, OR 97201; Department of Surgery, Oregon Health and Science University
, Portland, OR 97239e-mail: kohles@cecs.pdx.edu
J. Nanotechnol. Eng. Med. Nov 2010, 1(4): 041001 (7 pages)
Published Online: October 21, 2010
Article history
Received:
July 15, 2010
Revised:
August 16, 2010
Online:
October 21, 2010
Published:
October 21, 2010
Citation
Saha, A. K., and Kohles, S. S. (October 21, 2010). "Periodic Nanomechanical Stimulation in a Biokinetics Model Identifying Anabolic and Catabolic Pathways Associated With Cartilage Matrix Homeostasis." ASME. J. Nanotechnol. Eng. Med. November 2010; 1(4): 041001. https://doi.org/10.1115/1.4002461
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