Multiscale technology and advanced mathematical models have been developed to control and characterize physicochemical interactions, respectively, enhancing cellular and molecular engineering progress. Ongoing tissue engineering development studies have provided experimental input for biokinetic models examining the influence of static or dynamic mechanical stimuli (Saha, A. K., and Kohles, S. S., 2010, “A Distinct Catabolic to Anabolic Threshold Due to Single-Cell Nanomechanical Stimulation in a Cartilage Biokinetics Model,” J. Nanotechnol. Eng. Med., 1(3) p. 031005; 2010, “Periodic Nanomechanical Stimulation in a Biokinetics Model Identifying Anabolic and Catabolic Pathways Associated With Cartilage Matrix Homeostasis,” J. Nanotechnol. Eng. Med., 1(4), p. 041001). In the current study, molecular regulatory thresholds associated with specific disease disparities are further examined through applications of stochastic mechanical stimuli. The results indicate that chondrocyte bioregulation initiates the catabolic pathway as a secondary response to control anabolic processes. In addition, high magnitude loading produced as a result of stochastic input creates a destabilized balance in homeostasis. This latter modeled result may be reflective of an injurious state or disease progression. These mathematical constructs provide a framework for single-cell mechanotransduction and may characterize transitions between healthy and disease states.
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Research Papers
Biokinetic Mechanisms Linked With Musculoskeletal Health Disparities: Stochastic Models Applying Tikhonov’s Theorem to Biomolecule Homeostasis
Asit K. Saha,
Asit K. Saha
Center for Allaying Health Disparities through Research and Education (CADRE), Department of Mathematics & Computer Science,
e-mail: [email protected]
Central State University
, Wilberforce, OH 45384
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Yu Liang,
Yu Liang
Center for Allaying Health Disparities through Research and Education (CADRE), Department of Mathematics & Computer Science,
e-mail: [email protected]
Central State University
, Wilberforce, OH 45384
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Sean S. Kohles
Sean S. Kohles
Regenerative Bioengineering Laboratory, Department of Mechanical & Materials Engineering,
e-mail: [email protected]
Portland State University
, Portland, OR 97207; Department of Surgery, Oregon Health & Science University
, Portland, OR 97239
Search for other works by this author on:
Asit K. Saha
Center for Allaying Health Disparities through Research and Education (CADRE), Department of Mathematics & Computer Science,
Central State University
, Wilberforce, OH 45384e-mail: [email protected]
Yu Liang
Center for Allaying Health Disparities through Research and Education (CADRE), Department of Mathematics & Computer Science,
Central State University
, Wilberforce, OH 45384e-mail: [email protected]
Sean S. Kohles
Regenerative Bioengineering Laboratory, Department of Mechanical & Materials Engineering,
Portland State University
, Portland, OR 97207; Department of Surgery, Oregon Health & Science University
, Portland, OR 97239e-mail: [email protected]
J. Nanotechnol. Eng. Med. May 2011, 2(2): 021004 (9 pages)
Published Online: May 13, 2011
Article history
Received:
March 13, 2011
Revised:
March 23, 2011
Online:
May 13, 2011
Published:
May 13, 2011
Citation
Saha, A. K., Liang, Y., and Kohles, S. S. (May 13, 2011). "Biokinetic Mechanisms Linked With Musculoskeletal Health Disparities: Stochastic Models Applying Tikhonov’s Theorem to Biomolecule Homeostasis." ASME. J. Nanotechnol. Eng. Med. May 2011; 2(2): 021004. https://doi.org/10.1115/1.4003876
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