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. 2010 Apr 20;5:28. doi: 10.1186/1745-6150-5-28

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Copyright ©2010 Ayati et al; licensee BioMed Central Ltd.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Simulation of oscillatory changes in osteoclast and osteoblast populations during normal bone modeling for which the model solutions are periodic. System of equations (1): The oscillations are stimulated by an initial increase in the number of osteoclasts by 10 cell units above the nontrivial steady state. The parameters are the same as in Fig. 2, except that g₁₁= 1.1. The nontrivial steady state is = 1.16, = 231.72, the initial conditions are C(0) = 11.16, B(0) = 231.72, and the bone mass parameters are k₁= .0748, k₂= .0006395. The bone mass oscillates about a normalized value of 100.

Inline graphic — Simulation of oscillatory changes in osteoclast and osteoblast populations during normal bone modeling for which the model solutions are periodic. System of equations (1): The oscillations are stimulated by an initial increase in the number of osteoclasts by 10 cell units above the nontrivial steady state. The parameters are the same as in Fig. 2, except that g₁₁= 1.1. The nontrivial steady state is = 1.16, = 231.72, the initial conditions are C(0) = 11.16, B(0) = 231.72, and the bone mass parameters are k₁= .0748, k₂= .0006395. The bone mass oscillates about a normalized value of 100.