International Journal of Mathematical Models and Methods in Applied Sciences. Vol.6, No.7 (2012), 873-884
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Chontita Rattanakul Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach. International Journal of Mathematical Models and Methods in Applied Sciences. Vol.6, No.7 (2012), 873-884. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/14387
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Effects of vitamin D and time delay on bone resorption and bone formation: Mathematical modeling approach
A mathematical model proposed by Rattanamongkonkul et al. [1] is modified here to study the effects of both vitamin D and time delay. Hopf bifurcation theorem is then applied to derive the conditions on the model parameters for which a periodic so lution exists. Computer simulation is also carried out in order to support our theoretical result. Both theoretical and numerical results show that a periodic behavior observed clinically in the level of vitamin D can be expected in our model. Moreover, different kinds of dynamic behavior are investigated numerically.
