@inproceedings{8e9e6a4e19604a66879dcb90f22d0e75,
title = "Mathematical modeling of bone formation and resorption: Effects of parathyroid hormone and vitamin D",
abstract = "A mathematical model is proposed here in order to investigate the effects of parathyroid hormone and vitamin D on bone formation and resorption processes. Singular perturbation technique is then applied to analyze the model. The conditions on the system parameters for which a limit cycle exists are then derived. Numerical investigation is also carried out to support our theoretical prediction. The result shows that the model can exhibits a periodic solution corresponding to the pulsatile secretion of parathyroid hormone observed in the clinical evidence.",
keywords = "Bone formation, Bone resorption, Limit cycle, Mathematical model, Parathyroid hormone, Vitamin D",
author = "Chontita Rattanakul and Sahattaya Rattanamongkonkul and Saowaros Srisuk",
year = "2011",
language = "English",
isbn = "9781618040169",
series = "International Conference on Applied Mathematics, Simulation, Modelling - Proceedings",
pages = "54--59",
booktitle = "Recent Researches in Applied Mathematics, Simulation and Modelling - Proceedings of the 5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11",
note = "5th International Conference on Applied Mathematics, Simulation, Modelling, ASM'11 ; Conference date: 14-07-2011 Through 16-07-2011",
}