Publication: Effect of time delay on bone remodeling process
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Issued Date
2011-11-02
Resource Type
ISSN
19980159
Other identifier(s)
2-s2.0-80055036394
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Mahidol University
Rights Holder(s)
SCOPUS
Bibliographic Citation
International Journal of Mathematics and Computers in Simulation. Vol.5, No.6 (2011), 536-543
Suggested Citation
Suchanan Thongmak, Chontita Rattanakul, Sahattaya Rattanamongkonkul, Wannapa Kunpasuruang, Sittipong Ruktamatakul Effect of time delay on bone remodeling process. International Journal of Mathematics and Computers in Simulation. Vol.5, No.6 (2011), 536-543. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/11767
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Title
Effect of time delay on bone remodeling process
Abstract
We modify a mathematical model of bone remodeling process to study the effect of time delay observed clinically in the process. We then utilize the Hopf bifurcation theorem to investigate the possibility of the occurrence of periodic behavior exhibited by our model. Numerical simulation is also carried out to support our theoretical results. Theoretical and numerical results indicate that the periodic behavior observed clinically in the pulsatile secretion of parathyroid hormone can be expected in our model.