Publication: A mathematical model of bone remodeling process: Effect of vitamin D
Issued Date
2011-11-02
Resource Type
ISSN
19980159
Other identifier(s)
2-s2.0-80055030833
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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), 489-498
Suggested Citation
Sahattaya Rattanamongkonkul, Wannapa Kunpasuruang, Sittipong Ruktamatakul, Chontita Rattanakul A mathematical model of bone remodeling process: Effect of vitamin D. International Journal of Mathematics and Computers in Simulation. Vol.5, No.6 (2011), 489-498. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/11768
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Title
A mathematical model of bone remodeling process: Effect of vitamin D
Abstract
We propose a system of differential equations in order to investigate bone remodeling process based on the effect of vitamin D. The model is then analyzed by using singular perturbation technique in order to identify different dynamic behaviors exhibited by the model. Numerical simulations are also carried out to support our theoretical predictions. Both of theoretical and numerical results show that the model can exhibit a periodic behavior corresponds to the pulsatile serum level of vitamin D observed in the clinical evidence.